american mathematical society · november 16-17, 1992: ams-siam-smb symposium on some mathematical...

OTICES OF THE

AMERICAN MATHEMATICAL SOCIETY

AMS Employment Task Force Study Documents Job Market Woes

and Provides Little Hope for Short-term Solutions

Dayton Meeting (October 3G-November 1) Los Angeles Meeting (November 7-8)

page 861 page 879

San Antonio Meeting (January 13-16) First Announcement page 889

OCTOBER 1992, VOLUME 39, NUMBER 8

Providence, Rhode Island, USA

ISSN 0002-9920

Calendar of AMS Meetings and Conferences

This calendar lists all meetings and conferences approved prior to the date this issue went to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the American Mathematical Society. The meeting dates which fall rather far in the future are subject to change; this is particularly true of meetings to which no numbers have been assigned. Programs of the meetings will appear in the issues indicated below. First and supplementary announcements of the meetings will have appeared in earlier issues. Abstracts of papers presented at a meeting of the Society are published in the journal Abstracts of papers presented to the American Mathematical Society in the issue corresponding to that of the Notices which contains the program of the meeting,

insofar as is possible. Abstracts should be submitted on special forms which are available in many departments of mathematics and from the headquarters office of the Society. Abstracts of papers to be presented at the meeting must be received af the headquarters of the Society in Providence, Rhode Island, on or before the deadline given below for the meeting. The abstract deadlines listed below should be carefully reviewed since an abstract deadline may expire before publication of a first announcement. Note that the deadline for abstracts for consideration for presentation at special sessions is usually three weeks earlier than that specified below. For additional information, consult the meeting announcements and the list of special sessions.

Meetings

Meeting#

876 877 878

879 880 881 882 883

884 885

Date

• October 30-November 1, 1992 • November 7-8, 1992 • January 13-16, 1993

(99th Annual Meeting) • March 26-27, 1993 • April9-10, 1993 • April17-18, 1993 • May 21-22, 1993 • August15-19, 1993

(96th Summer Meeting)

Place

Dayton, Ohio Los Angeles, California San Antonio, Texas

Knoxville, Tennessee Salt Lake City, Utah Washington, D.C. DeKalb, Illinois Vancouver, British Columbia

(Joint Meeting with the Canadian Mathematical Society) • September 18-19, 1993 Syracuse, New York • October 1-3, 1993 Heidelberg, Germany

(Joint Meeting with the Deutsche Mathematiker-Vereinigung e.V.) October 22-23, 1993 College Station, Texas January 12-15, 1994 Cincinnati, Ohio

(100th Annual Meeting) March 18-19, 1994 March 25-26, 1994 June 16-18, 1994 October 28-29, 1994 January 25-28, 1995

(1 01 st Annual Meeting) March 24-25, 1995 November3-4, 1995 January 10-13, 1996

(1 02nd Annual Meeting) March ~2-23, 1996

Lexington, Kentucky Manhattan, Kansas Eugene, Oregon Stillwater, Oklahoma Denver, Colorado

Chicago, Illinois Kent, Ohio Orlando, Florida

Iowa City, Iowa • Please refer to page 935 for listing of Special Sessions.

Conferences

Abstract Program Deadline Issue

Expired October Expired October OctoberS December

January 5 March January 29 April January 29 April February 26 May-June May 18 July-August

May 18 September May 18 September

August 4 October

November 16-17, 1992: AMS-SIAM-SMB Symposium on Some Mathematical Questions in Biology, Cell Biology, Denver, Colorado.

July 11-30, 1993: AMS Summer Institute on Stochastic Analysis, Cornell University, Ithaca, New York.

January 11-12, 1993: AMS Short Course on Wavelets and Applications, San Antonio, Texas.

lpeadlines

Classified Ads* News Items Meeting Announcements**

December Issue

November 13, 1992 October 29, 1992 October 29, 1992

January Issue

December 1 0, 1992 December 2, 1992 December 2, 1992

February Issue

January 7, 1993 December 24, 1992 December 24, 1992

• Please contact AMS Advertising Department for an Advertising Rate Card for display advertising deadlines. •• For material to appear in the Mathematical Sciences Meetings and Conferences section.

March Issue

February 4, 1993 January 22, 1993 January 26, 1993

OTICES OF THE


ARTICLES

820 AMS Employment Task Force Study Documents Job Market Woes and Provides Little Hope for Short-term Solutions

Everyone knows there are problems today with the job market for mathematicians, but it's not clear that much can be done about it. This carefully prepared report offers information on the current job picture and some projections for the future, along with a number of recommendations that could help dampen the impact of such employment fluctuations in the future. Allyn Jackson describes the contents of the report.

FEATURE COLUMNS

825 Computers and Mathematics Keith Devlin

Experimental Mathematics is the theme of this month's feature article, written by Jonathan and Peter Borwein. This is followed by a number of review articles and a couple of announcements: Paul Abbott compares Maple and Mathematica; J. S. Milne provides an update on some reviews on scientific word processors; Louis Grey looks at the program Numbers; and Tevian Dray reports on the programs 4-dimensional Hypercube and f(z).

844 Inside the AMS

The Society has a number of publications whose primary purpose is service to members, in contrast to dissemination of research-these include the Notices, Bulletin, and Abstracts. A committee has been formed to examine the current menu of member publications and make recommendations on how they could better serve members' needs. Allyn Jackson provides some specifics on the committee's work. Also, Martin Golubitsky discusses Summer Research Conferences (SRCs), and an updated list of the Society's non-user-specific electronic addresses is supplied.


DEPARTMENTS 822 Forum

848 News and Announcements

855 Funding Information for the Mathematical Sciences

858 !7or Your Information

800 1993 AMS Elections

861 Meetings and Conferences of the AMS Dayton, OH

October 3D-November 1, 861 Los Angeles, CA

November 7-8, 879 San Antonio, TX

January 13-16, 889 Mathematical Sciences Employment Register, 928 Introductory Survey Lectures on Wavelets and Applications, 931 Invited Speakers, 935 Call for Topics, 939 1993 Summer Research Institute, 940 1992 Symposium on Some Mathematical Questions in Biology, 943

941 Winter Meeting of the Canadian Mathematical Society

944 Mathematical Sciences Meetings and Conferences

952 New Publications Offered by the AMS

959 Miscellaneous Personal Items, 959 Deaths, 959 Visiting Mathematicians (Supplement), 960

962 New Members of the AMS

964 Stipends for Study and Travel

986 Classified Advertising

1003 Forms

817

................................................................................... y y , 'IBIIlB..RI..III IMIII..~1IIr'1 y , .. y • .. w·Wy·, • • .. • • Y ..·my • ..

From the Executive Director ...


EDITORIAL COMMITTEE

Michael G. CrandallAmassa FauntleroyRobert M. Fossum (Chairman)Carolyn S. Gordon (Forum Editor)D. J. LewisL. Ridgway Scott (Letters Editor)Robert E. L. Turner

MANAGING EDITOR

John S. Bradley

ASSOCIATE EDITORS

Ronald L. Graham, Special ArticlesJeffrey C. Lagarias, Special Articles

SUBSCRIPTION INFORMATION

Subscription prices for Volume 39 (1992) are$131 list; $105 institutional member; $79 individual member. (The subscription price for membersis included in the annual dues.) A late charge of100/0 of the subscription price will be imposed uponorders received from nonmembers after January 1of the subscription year. Add for postage: Surfacedelivery outside the United States and India-$15;to India-$28; expedited delivery to destinations inNorth America-$32; elsewhere-$67. Subscriptions and orders for AMS publications should beaddressed to the American Mathematical Society,P.O. Box 1571, Annex Station, Providence, RI02901-1571. All orders must be prepaid.

ADVERTISING

Notices publishes situations wanted and classifiedadvertising, and display advertising for publishersand academic or scientific organizations.

Copyright @ 1992 by the American MathematicalSociety. All rights reserved. Printed in the UnitedStates of America.

The paper used in this journal is acid-free and fallswithin the guidelines established to ensure permanence and durability. § Most of this publicationwas typeset using the TEX typesetting system.

[Notices of the American Mathematical Society ispublished monthly except bimonthly in May, June,July, and August by the American Mathematical Society at 201 Charles Street, Providence, RI 029042213. Second class postage paid at Providence,RI and additional mailing offices. POSTMASTER:Send address change notices to Notices of theAmerican Mathematical Society, Customer ServiceDepartment, American Mathematical Society, P. O.Box 6248, Providence, Rl 02940-6248.] Publication here of the Society's street address, and the·other information in brackets above, is a technicalreqUirement of th'e U. S. Postal Service. All correspondence should be mailed to the Post Office Box,NOT the street address. Tel: 401-455-4000.

COMMITTEE STRUCTURE

Because the AMS is a membership, volunteer organization, its committee systemis one of its most valuable resources. Committees provide the mechanism for memberparticipation and they apportion the responsibilities and the authority of the Societyamong the membership. A substantial amount of the advice to the Society and itsdecision making falls to committees.

The governing bodies of the Society-the Board of Trustees, the Council, and theExecutive Committee of the Council-are volunteer committees. They in tum havecommittees that provide advice and recommendations, that perform regular duties, andthat address various ad hoc tasks as they arise. The editorial boards of the Society'ssponsored journals and book series are also invaluable volunteer committees of theSociety. All in all, the Society has nearly one hundred committees, including numerousjoint committees with allied professional organizations.

In addition to the volunteers, the Society depends on its staff to complete its work.It is therefore important that there be a synergy between these two groups. Indeed, ifwe think of the work of the Society as being distributed between volunteers and staff, itis the committee system that organizes the work of the volunteers and that coordinatesit with the Society's mission and goals and the work of the staff.

In order that the Society work well and utilize the vast resource of its membershipin addressing issues before the mathematicS' community and fulfilling the mission ofthe AMS, its committees and committee system must work well. The committees mustbe organized to meet the current and emerging challenges facing the Society and themathematics community; they must recognize the vision and goals of the Society; andthey must provide an interface with staff activity and an effective avenue for dialogueamong members, volunteers, and staff.

A recent review of the committee system has brought forth a number of recommendations that introduce a new structure in which a small core of the committeesprovides advice and takes the long-range view in five major areas of Society activity:science policy, education, publication, meetings and conferences, and the profession.The recommendations are that the Society organize, through its committee structure, apolicy deliberation and long-range planning mechanism for the consideration of mathematics as a science, for the support of mathematics education, for communicationand exposition of mathematics, for encouragement and facilitation of full participationby all individuals, and for concerns of the mathematics community and professionalmathematicians. Such policy committees would have representation from the Board,the Council, and the staff.

A Committee on Science Policy has been in place for some time and has provedto be one of the most active and effective committees of the Society. The recentlyestablished Committee on Education has the charge to provide advice and to take a longrange view on matters in the area of mathematics education. These committees wouldfit into the recommended restructuring with only modest changes to their membership.New committees would need to be formed in the remaining three areas: publication,meetings and conferences, and the profession.

The recommendations for the restructuring of the committee system need approvalof the governing bodies of the Society. Many of the proposed recommendations necessitate Bylaws changes which require the approval of the membership. However, theserecommendations should put in place a committee structure that will serve the Societywell. Of course, committee structure is only one piece of the entire committee system.The most important component of the committee system is the commitment and participation of the volunteers who serve the Society and mathematics through the Society'scommittee system.

William Jaco

818 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY

Invitation for Applications, 1993-1994 Deadline December 1, 1992

These fellowships are intended to provide enhanced research opportunities to mathematicians who are several years past the Ph.D., who have a strong research record, but who have not had extensive postdoctoral research support in the past. Applicants should have received the Ph.D. degree between January 1, 1981, and December 31, 1986, and should not have had the equivalent of more than two years of full-time postdoctoral support.

The stipend for fellowships awarded in 1993-1994 has been set by the Trustees ofthe Society at $41,500 for nine months. In addition, there will be an expense allowance of $1,350. Applicants must be citizens or permanent residents of a country in North America. The fellowship may be combined with other stipends and/or part-time teaching; this option can be used to extend the award to cover a period of up to two years. For further information about the acceptability of such arrangements, individuals should contact the Secretary of the Society.

The number of fellowships to be awarded is small and depends on the amount of money contributed to the program. The Trustees have arranged a matching program from general funds in such fashion that funds for at least one fellowship are guaranteed. Because of the generosity of the AMS membership it has been possible to award two or three fellowships a year for the past several years.

The deadline for receipt of applications is December 1, 1992. Awards will be announced in February 1993, or earlier if possible. For application forms, write to the Executive Director, American Mathematical Society, P.O. Box 6248, Providence, RI 02940. (It should be noted that completed application and reference forms should NOT be sent to this address, but to the address given on the forms.)

AMS Employment Task Force Report Study Documents Job Market Woes and

Provides Little Hope for Short-term Solutions

The AMS Task Force on Employment was appointed in 1991 to review the current employment situation within the academic mathematics community, to identify problems in this labor market, and to make recommendations on ways to address problems. In July 1992, the Task Force released its report, "Employment and the U.S. Mathematics Doctorate: Report of the AMS Task Force on Employment".

Copies of the report are available by writing to: James W. Maxwell, Associate Executive Director, American Mathematical Society, P.O. Box 6248, Providence, RI 02940-6248.

The AMS Task Force on Employment consists of the following members:

S.-Y. Cheng, University of California at Los Angeles Ronald M. Davis, DeKalb College Helen G. Grundman, Bryn Mawr College D. J. Lewis (chair), University of Michigan Bernard L. Madison, University of Arkansas James W. Maxwell (ex officio), AMS Donald E. McClure, Brown University Calvin C. Moore, University of California at Berkeley Carol S. Wood, Wesleyan University

Is there a crisis in the mathematics job market today? You bet there is. What can be done about it? Not much. That's the basic upshot of a recent report of the AMS Employment Task Force. This sensible, informative document for the most part simply describes the bleak employment picture, tells how it got that way, and makes some careful predictions about future trends. Its most important recommendations for action center on long-term changes in doctoral training and several short-term recommendations that focus primarily on helping the job application process run more smoothly. As AMS Trustee John C. polking of Rice University summed it up, "The report points to problems and gives only a little indication as to how to solve them. In fact, no one 19lows how to really solve them. It's just something we have to get through."

The Current Picture The central concern of the Task Force was to get a handle on what's happening in the job market today. To this end, they conducted a survey of forty of the major mathematics departments in the U.S. and also drew upon the Annual AMS-MAA Survey. One of the report's central results is a careful estimate that there will be about 800 openings in the

U.S. mathematics job market each year for the next decade or so. The Task Force found this estimate to be in line with employment data from the annual survey of 1990-1991 new doctorates--of nearly 1100 doctorates whose employment status was known, about 800 got jobs in the U.S. and fiftyfour were known to be unemployed or seeking employment. Although the 1992 Annual Survey is not complete. yet, it looks as if there will be no decline in the number of people who got doctorates during 1991-1992. Says Task Force chair D. J. Lewis of the University of Michigan, ''Unless we open the market to more areas or get universities to invest in more mathematicians, there is no way we can absorb 1100 people"

The report notes that 5% (54 people) out of the 1990-1991 pool of new doctorates were still unemployed or seeking employment in April-between 1977 and 1990, the median of the comparable unemployment figures is 2% unemployed. Although 5% may not seem like a high unemployment rate, the report points out that there is significant underemployment of new doctorates-many people were forced to take one-year temporary positions, which is a particularly difficult way for a new doctorate to begin his or her career. Anecdotal evidence suggests that many people on the market have had a string of such temporary positions. "[T]he Task force suspects that this underemployment has significantly increased in recent years and that it will haunt the employment market over the next several years," the report states. The Task Force was clearly frustrated that there was no hard data on employment beyond the initial year after receipt of the doctorate and has suggested to the Data Committee that more extensive data be collected in the future.

Reasons for the Tight Market It was only a few years back, in the mid-1980s, when the number of mathematics Ph.D.s dipped to its lowest level in a decade, and there were concerns that there would be a shortage of mathematics doctorates. What's changed?.Forone thing, the number of Ph.D.s being produced has risen from around 800 to around 1200 today. Another major factor, the report notes, is reduced hiring because of cuts in university and college budgets. The number of positions open dropped significantly between the 1990-1991 and the 1991-1992 hiring seasons, by more than 15% in doctorate-granting departments and by more than 30% in master's-granting departments. Other sciences


~~---------·---·-------··-----·····-···-··--··--·--""'' Employment Report

have seen similar problems, but it seems that mathematics has been particularly hard hit because most mathematics doctorates take positions in academia; few go into industry. However, it's not clear that industry could absorb many of the new doctorates anyway, since there has also been a shrinkage in industrial jobs for science Ph.D.s.

Another reason there are so many mathematicians on the market is the increased number of highly-qualified mathematicians from abroad seeking jobs in the U.S. This includes many immigrants from Eastern Europe and the former Soviet Union, who accounted for 13% of the new hires in doctorategranting departments during 1990-1991. In addition, more and more students are coming to the U.S. to do graduate work, and more and more are staying on to get jobs here-this group includes many from eastern Asia, especially China and Korea. The report is extremely careful to acknowledge the important contributions non-U.S. citizen mathematicians have made to the mathematics community. "We would clearly have experienced serious faculty shortages throughout the 1980s were it not for the supply of non-U.S. citizen Ph.D.s produced in the U.S.," the report states. "Only 478 of the 1990-1991 new doctorates were U.S. citizens, a number far too low to fill the available positions, even in the current tight market."

It's clear that the question of foreign mathematicians was a touchy one for the Task Force. Indeed, many mathematics departments depend on foreign students to stay in business, and many of the best graduate students are from abroad. In addition, the community tends to feel a responsibility toward the students who get their Ph.D.s here: solving the job market problems by telling departments to "Buy American" would not go over well. However, one of the report's recommendations calls upon graduate programs to develop the communications skills and cultural understanding of foreign students so that they will be able to fulfill expectations of academic positions here in the U.S.

What Can Be Done? Predicting the future academic job market is a tricky business. As the report notes, the current job market is a case in point: As recently as two or three years ago, despite signs that the job market was tightening, many continued to cite projections of widespread faculty shortages in the. mid-1990s. "With shortages predicted for the second half of this decade and with a job market that had been hot up to that time, few people imagined that we would now be experiencing relatively high levels of unemployment and a very difficult market," the report says. "At the time the projections were made, the short-term impact and possible long-term implications of a general economic downturn, of junk bonds and the Savings and Loan liability, and of the end of the Cold War were not generally foreseen or understood."

Although future projections can be unreliable, it seems clear there is an oversupply of mathematics doctorates at

the moment. Couldn't the mathematics community simply cut down on the number of Ph.D.s it produces? Polling says he can understand why the report didn't make such a recommendation. "I agree it would be nice to be able to limit the size of graduate programs," says Polking. "Some are artificially large because graduate students are used to teach. We could encourage departments to spend that graduate student money on faculty lines, even if they're two- or threeyear positions for new Ph.D.s. But how do you implement it?" In addition, Polling points out that the driving factor in the increase in the number of doctorates is an increase in the quality of the students-a trend the community would certainly not want to discourage.

The Task Force's recommendations centered on actions ·that would be wise regardless of the condition of the job market, but take on special urgency at a time like this. A number of short-term recommendations focus primarily on making job searches and recruitment-a standard application form for all mathematics departments, the use of electronic communication, improvements in the Employment Register, and so on. Among the long-term recommendations are some that have been suggested in other reports in recent years, such as broadening the training of mathematics Ph.D.s so that they have a wider range of employment prospects and increasing the number of pos~toral positions available, not with the aim of tiding hew PhDj over to permanent jobs, but to try to strengthen their piep'irration and broaden their choice of career paths. Lewis says that the mathematics community must address the question of whether a mathematics doctorate is professional training leading to employment or an educational process that broadens horizons. "I'm hoping people will look at their programs and see if they are realistic in terms of where their Ph.D.s are going to get jobs," he declares.

The report also recommends that departments make efforts to add faculty instead of increasing class size and hiring parttimers to take up the slack. Such a large proportion of college mathematics teaching is at the level of calculus or below that departments have relied heavily on inexperienced or poorly qualified part-timers and teaching assistants. "If we got into a realistic assessment of cost, we would cut graduate programs and hire more faculty," says Lewis. "Part of the problem is not just mathematics departments, but deans and provosts who push departments to hire TAs and part-timers."

In fact, as Lewis sees it, a major part of the problem is the fact that public support for universities is waning. Given bottom-line demands that students get their money's worth out of a college education and various scandals in federal funding for academia and in academic scientific research, things don't look bullish for universities and colleges these days. Says Lewis, "Even when the economy comes back, universities may still be in trouble."

Allyn Jackson Staff Writer

OCTOBER 1992, VOLUME 39, NUMBER 8 821

Forum

The Forum section publishes short articles on issues that are of interest to the mathematical community. Articles should be between 1000 and 2500 words long. Readers are invited to submit articles for possible inclusion in Forum to:

Notices Forum Editor American Mathematical Society P.O. Box 6248 Providence, Rl 02940

or electronically to [email protected]

Calculus Reform: Past, Present, -Future(?) David Gale

University of California, Berkeley As an interested, but not directly affected, observer (I retired from teaching a year ago), I have been intrigued by the recent calculus boom. It is now in its sixth year and has received funding support of well over six million dollars. There are currently thirty-five NSF grants devoted to this project. It has produced several books including Toward a Lean and Lively Calculus, hereafter to be denoted by LL, and Calculus for a New Century. A Pump, not a Filter, to be designated as PF, and there is now a detailed draft of a soon to be published textbook by the Harvard Calculus Consortium; so things seem to be moving right along. Nevertheless, observation over the years leads me to believe that there may be dangers ahead which I will attempt to describe.

The prime motivation for the present effort is to get more people to master more of the material of calculus (the filter-pump metaphor), and surely no one can be opposed to that, but there is another main theme of the movement. It is related to the familiar refrain that mathematicians have been singing for at least forty years, or 100 for all I know, that what we teach is cookbook calculus; our courses consist of nothing but dozens of recipes, and passing a course is simply a matter of coming up with the right recipe at the right time. To extricate ourselves from this rut, everyone agrees, we must teach concepts and understanding rather than techniques and manipulation. There is of course one immediate problem here, namely the two goals may be inconsistent. Insisting on

teaching concepts rather than techniques may strengthen the filter rather than the pump. This, however, is not the main thing I want to talk about.

One thing which, as far as I have read, was not mentioned in either of the books is the fact that over the past decades there have been numerous similar serious and concerted attempts to revise, reform, and revitalize calculus programs. Thirty years ago the Mathematical Association of America's Committee on the Undergraduate Program in Mathematics (CUPM) put out a quite detailed syllabus of what they considered to be a good two-year calculus sequence. On the local level I suspect most major institutions make attempts at reevaluating and improving their programs every ten years or so. At some places, MIT and Purdue for example, major reform programs have been undertaken. Finally, on the individual level, over this same period something like 100 new first-year calculus books have been written, some of them by prominent mathematicians and math educators, who were clearly not in it for the money but because they had definite ideas about constructive new things which they felt could be developed in a new text.

Now, is it not striking that despite all this expenditure of thought, time, and energy on the part of many highly competent people, we find ourselves, according to the LL and PF, worse off than ever? In LL it is asserted that "the teaching of calculus is in a state of disarray and near crisis" (this was 1986) and in PF "We no longer ask students to understand. Now it's manipulation pure and simple." It seems to me the case is a bit overstated here. Perhaps it's my faulty memory, but I can't recall a time when we required students to understand. Be that as it may, it does seem clear that "cookbookery" is still going as strong as ever; so the question we ought to be asking ourselves is why, with all the brain power that went into them, did all these previous efforts at reform fail. Was it because we just didn't try hard enough? In that case maybe the present enterprise is the answer, for it is surely unprecedented in size and cost. On the other hand, perhaps there is some other more basic reason for the past failures, in which case one would worry that the current effort may meet the same fate as its predecessors. I suggest that there is, in fact, a basic pitfall that accounts for these past failures and it is something we should be wary of. I will illustrate by means of examples.


Forum

The most interesting part of the two books, to me, were the thirty pages in PF presenting final exams from ten different institutions ranging from high schools (Advanced Placement exams) to community colleges to highly selective universities. As Lynn Steen points out in his contribution Calculus Today, the questions at all levels are almost all cookbook. "Evaluate the following six integrals", "sketch the curve of ... giving intervals of increase, decrease, critical points, asymptotes ... ", "Find the volume of the body obtained by rotating the curve ... ", and so on. Not much more appealing is "State and prove one of the following theorems. a. The Fundamental Theorem of Calculus. b. The Intermediate Value Theorem. c. Taylor's Theorem with Remainder."; so the question is, will the "new calculus" (several of the articles use this term) change all this. Let's have a look.

The Harvard text draft is impressive, well written, and innovative with a strong emphasis on concepts. I turned as I always do to the treatment of differentiation of exponentials and logarithms and the number e. Will they define the natural log first as the integral of 1 I x and then define ex as the inverse or will they do it the other way 'round? I won't give away the answer except to say that the presentation is painstaking and clear, starting with some numerical experiments which are represented graphically in four separate figures. The exposition covers five full pages. Then come the Exercises, thirty-two of them. The first twenty-four are drills involving finding the derivatives of various functions which contain variables in the exponents. The next two problems involve finding tangents to exponential curves; then come a couple of exponential growth word problems; then finding the quadratic polynomial whose value and first two derivatives agree with those of ex. Then two nice ones. Exercise 30: show that ex ;::: x + 1, and 31: find all solutions to x2 = 2x and prove these are the only ones.

But here is the point. To work all of these problems, including the nonroutine ones, the student needs to know only one fact (besides things learned earlier), namely that the derivative of ax is ln(a)ax. Question: how many of the students will work through and absorb the very nice exposition of the five preceding pages? Answer: not many, and indeed, who can blame them. They know they are not going to be "responsible" for this material, and they also know that there is a vast amount of material they will be responsible for. What would you do?

Conclusion: If we really want to teach understanding we must also test understanding. It seems to me this is a highly nontrivial issue. For one thing, as mentioned earlier, if we go too far with this understanding business we may find ourselves doing more filtering than pumping. Second, and I have no ready answer to this, how does one go about testing a student's understanding, say, of the reason that the derivative of the exponential function is what it is?

In any case, the example illustrates the point. It doesn't really matter whether we present the log or the exponential first. In general, even substantial improvement of exposition won't get us very far.

As another example, I was a bit disheartened to read in the brief first-year calculus syllabus in LL that in teaching derivatives of the trig functions the "actual proofs can be downplayed, especially the proof that the limit x-+O sin xI x = 1 ". Oh dear, I thought, there goes one of the few lectures I used to look forward to giving, with the nice argument involving the sector trapped between the two right triangles. But I guess the authors are right because, even though it gave me a warm feeling to talk about these things, from the students' point of view this wasn't really part of the course because it wasn't something they needed to know. In short, as long as our courses, revised or not, use the same old exercises and exams, they will end up being essentially the same old courses.

There is another serious problem which courses with consist 95% in learning how to solve drill problems, and that is that most of these problems are intensely boring. Probably we teachers suffer more from this than the students. If they are lucky, they will only have to go through the ordeal once while we have to do it year after year. Also, why do there have to be so many of these problems? In the Harvard book, for example, following a section on integration by substitution there are fourty-two exercises, every one of them drill. This seems to me a prescription for instant depression. Wouldn't it have been just as effective to use only, say, the best 8? Whatever happened to Lean and Lively?

The whole situation is especially ironic because we teachers know that calculus is one of civilization's great discoveries, allowing us to do all sorts of things which would be impossible without it. One would hope that there was some way to design a course that would convey this to students. Maybe it can't be done, but let me conclude with a suggestion which might move things in a good direction. I propose a three-step method for producing a calculus program.

Step I. Make a list of as many examples as one can find of nice things one can do with the calculus. High on such a list, for example, would be the surprising fact that the surface area of a sphere is exactly four times the area of the equatorial disc. The surprise is that this result is so different from the well known ratio in the analogous one-dimensional case. (The list would definitely not include finding how fast the distance of the base runner from home plate is changing as he slides into second base.) Collecting these examples would probably not be easy but it should be challenging and interesting. One might hope to find perhaps 100 such examples.

Step II. This is the key and it is the hard part, which probably explains why nobody ever does it. Make up, say, a half dozen model final exams consisting of questions dealing directly with the material gathered in Step I. I do not underestimate the difficulty of this assignment. Clearly the questions must not be too difficult. I do feel, however, that if this part of the procedure cannot be carried through then we are probably back in the old well-worn track and nothing very satisfying is likely to emerge from our efforts.

Step III. Prepare the detailed course, text, exercise, the works. The idea is that, with Step I and especially Step II


Forum

taken care of, the details should more or less fall into place. Of course good organization and exposition are important, but I think many mathematicians and educators are very sicilied at these things so this should present no major problems.

In other words, I am suggesting that calculus courses, like research papers, should be written backwards, starting with the end, on the principle that it's always best to have the clearest possible idea of where you want to end up before you start trying to get there. End of sermon.

824

Second Siberian Winter School "Algebra and Analysis" I. A. Aleksandrov, L.A. Bokut', and Yu G. Reshetnyak, Editors Volume 151

This book, the second in the series of proceedings of Soviet Regional Conferences, contains papers presented at the Second Siberian Winter School: Algebra and Analysis, held at Tomsk State University in 1989. The papers touch on a variety of topics, including Lie algebras and Lie groups, sheaves, superalgebras, graded Lie algebras, Teichmuller theory, nonstandard functional analysis, hyperbolic geometry, p-adic L-functions, automorphic forms, and resolution of singularities.

1991 Mathematics Subject Classification: 11 , 14, 17, 32, 46; 30, 58 ISBN 0-8218-3142-9, 145 pages (hardcover), September 1992 Individual member $78, List price $130, Institutional member $104 To order, please specify TRANS2!151 NA.

All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepayment required. Order from: American Mathematical Society, P.O. Box 1571, Annex Station, Providence, Rl 02901-1571, or call toll free 800-321-4AMS (321-4267) in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada, please include 7% GST.

CONFERENCE PROCEEDINGS, CANADIAN MATHEMATICAL SOCIETY, VOLUME 13

Category Theory 1991: Proceedings of the 1991 Summer Category Theory Meeting, Montreal, Canada R. A. G. Seely, Editor

This book contains the proceedings of an international conference on category theory. The subjects covered here range from topology and geometry to logic and theoretical computer science, from homotopy to braids and conformal field theory. Although generally aimed at experts in the various fields represented, the book will also provide an excellent opportunity for nonexperts to become acquainted with the diversity of current applications of category theory.

1991 Mathematics Subject Classification: 18; 00 ISBN 0-8218-6018-6, 447 pages (softcover), September 1992 Individual member $46, List price $76, Institutional member $61 CMS individual members can order at the individual member price To order, please specify CMSAMS/13NA

All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepayment required. Order from: American Mathematical Society, P .0. Box 1571, Annex Station, Providence, Rl 02901-1571, or call toll free 800-321-4AMS (321-4267) in the U.S. and Canada to charge with V!SA or MasterCard. Residents of Canada, please include 7% GST.

NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY

Edited by Keith Devlin

This month's column Experimental mathematics is the theme of this month's feature article, written by the Canadian mathematical brothers, Jonathan and Peter Borwein. This is followed by a number of review articles and a couple of announcements. Paul Abbott compares Maple and Mathematica. (See also the benchmark test results presented by Barry Simon in the previous column in the September Notices.) J. S. Milne provides an update on some reviews he wrote for this column back in October 1990 on scientific word processors. Louis Grey looks at the program Numbers, and Tevian Dray reports on the programs 4-dimensional Hypercube and f(z).

Editor's address:

Professor Keith Devlin Department of Mathematics and Computer Science Colby College Waterville, Maine 04901

Correspondence by electronic mail is preferred, to: [email protected].

''''''""""''""""''''''"""""''''"""""'1\r&l" -------~

Some Observations on Computer Aided Analysis

Jonathan Borwein* and Peter Borwein*

Preamble Over the last quarter Century and especially during the last decade, a dramatic "re-experimentalization" of mathematics has begun to take place. In this process, fueled by advances in hardware, software, and theory, the computer plays a laboratory role for pure and applied mathematicians; a role which, in the eighteenth and nineteenth centuries, the physical sciences played much more fully than in our century.

*Jonathan Borwein is presently Professor of Mathematics in the Department ofCombinatorics and Optimization at the University of Waterloo. His other main research interests are in Optimization and Functional Analysis. Peter Borwein is presently Professor of Mathematics at Dalhousie University. His other main research interests are in Approximation Theory and Number Theory. As of next July they both will be at Simon Fraser University in Vancouver and invite interested people to make contact with the new Centre for Experimental and Constructive Mathematics. jmborwei @orion.uwaterloo.ca, pborwein @cs.dal.ca.

Computers and Mathematics

Operations previously viewed as nonalgorithmic, such as indefinite integration, may now be performed within powerful symbolic manipulation packages like Maple, Mathematica, Macsyma, and Scratchpad to name a few. Similarly, calculations previously viewed as "practically" nonalgorithmic or certainly not worth the effort, such as large symbolic Taylor expansions, are computable with very little programming effort.

New subjects such as computational geometry, fractal geometry, turbulence, and chaotic dynamical systems have sprung up. Indeed, many second-order phenomena only become apparent after considerable computational experimentation. Classical subjects like number theory, group theory, and logic have received new infusions. The boundaries between mathematical physics, knot theory, topology, and other pure mathematical disciplines are more blurred than in many generations. Computer assisted proofs of "big" theorems are more and more common: witness the 1976 proof of the Four Colour theorem and the more recent 1989 ·proof of the nonexistence of a projective plane of order ten (by C. Lam et al at Concordia).

There is also a cascading profusion of sophisticated computational and graphical tools. Many mathematicians use them but there are still many who do not. More importantly, expertise is highly focused: researchers in partial differential equations may be at home with numerical finite element packages, or with the NAG or IMSL Software Libraries, but may have little experience with symbolic or graphic languages. Similarly, optimizers may be at home with nonlinear programming packages or with Matlab. The learning curve for many of these tools is very steep and researchers and students tend to stay with outdated but familiar resources long after these have been superceded by newer software. Also, there is very little methodology for the use of the computer as a general adjunct to research rather than as a means of solving highly particular problems.

We are currently structuring "The Simon Fraser Centre for Experimental and Constructive Mathematics" to provide a focal point for Mathematical research on such questions as

"How does one use the computer: -to build intuition? - to generate hypotheses? -to validate conjectures or prove theorems?



-to discover nontrivial examples and counterexamples?" (Since we will be offering a number of graduate student,

postdoctoral, and visiting fellowships, we are keen to hear from interested people.)

0. Introduction Our intention is to display three sets of analytic results which we have obtained over the past few years entirely or principally through directed computer experimentation. While each set in some way involves 1r, our main interest is in the role of directed discovery in the analysis. The results we display either could not or would not have been obtained without access to high-level symbolic computation. In our case we primarily used Maple, but the precise vehicle is not the point. We intend to focus on the pitfalls and promises of what Lakatos called "quasi-inductive" mathematics.

1. Cubic Series for 1r The Mathematical Component. Ramanujan [10] produced a number of remarkable series for 1 I 1r including

(1.1) _!_ _ 2J2 ~ (4n)! [1103 + 26390n] 7r - 9801 L....t 44n(n!)4 994n ·

n=O

This series adds roughly eight digits per term and was used by Gosper in 1985 to compute 17 million terms of the continued fraction for 1r. Such series exist because various modular invariants are rational (which is more-or-less equivalent to identifying those imaginary quadratic fields with class number 1), see [3]. The larger the discriminant of such a field the greater the rate of convergence. Thus with d = -163 we have the largest of the class number 1 examples

(1.2} _!_ = 12 ~(-l)n (6n)! 13591409+n545140134 1r ~ (n!)3(3n)! (6403203)n+1/2 '

a series first displayed by the Chudnovskys [10]. The underlying approximation also produces

7r~3log(640320)IvfD63

and is correct to 16 places. Quadratic versions of these series correspond to class

number two imaginary quadratic fields. The most spectacular and largest example has d = -427 and

(1.3)

where

_!_ = 12 ~ ( -l)n(6n)! (A+ nB) 7r ~ (n!)3(3n)! cn+1/ 2

A:= 212175710912v'6f + 1657145277365

B := 13773980892672v'6f + 107578229802750 c := [5280(236674 + 30303v'61)]3 .

This series adds roughly twenty-five digits per term, v'C I (12A) already agrees with pi to twenty-five places [3]. The last two series are of the form

where

b(t) = (t(1728 - j(t)))112 '

a(t) = b(t) ( 1 _ E4(t) (~(t) _ ___£)) , 6 E6(t) 1r~

. _ 1728El(t) J(t) - E1(t) - El(t).

Here t is the appropriate discriminant, j is the "absolute invariant", and E2 , E4 , and E6 are Eisenstein series.

For a further discussion of these, see [2], where many such quadratic examples are considered. Various of the recent record setting calculations of 1r have been based on these series. In particular, the Chudnovskys computed over two billion digits of 1r using the second series above.

There is an unlimited number of such series with increasingly more rapid convergence. The price one pays is that one must deal with more complicated algebraic irrationalities. Thus a class number p field will involve pth degree algebraic integers as the constants A = a(t), B = b(t), and C = c(t) in the series. The largest class number three example of ( *) corresponds to d = -907 and gives 37 or 38 digits per term. It is

(1.4) J-C3 oo (6n)! A+nB -7r- = ~ (3n)!(n!)3 C3n

where c = 4320 * 22/3 * 3113(-4711544446661617873062970863

+ 52735595419633 * 2721 112)1/3 - 4320 * 22/3 *3113(4711544446661617873062970863 + 52735595419633

*2721 112)1/3 - 16580537033280

A = 27136(2581 002591670714650084289323501202067163298721 +9978043250 1542041707016500 * 27211 /2)1 /3

-27136(-2581002591670714650084289323501202067163298721 +99780432501542041707016500 * 27211/2)1/3

+ 37222766169818947772

B = 193019904 * 9071/ 3 (6696886031513505648275135384091973612

+22970050316722125 * 2721 112 )113 - 193019904 * 9071/ 3 (-6696886031513505648275135384091973612

+22970050316722125 * 27211/2)1/3 + 3521779493604002065512

The series we computed of largest discriminant was the class number four example with d = -1555. Then

c = -214772995063512240- 96049403338648032 * 51/ 2 -1296 * 51 12(1 09852345794635503237133184 73

+4912746253692362754607395912 * 5t/2)t;2

A= 63365028312971999585426220 +283377021408008420468256oo * 5112



+384 * s 112(10891728551171178200467436212395209160385656017 +4870929086578810225077338534541688721351255040*5 112) 112

B = 7849910453496627210289749000 +3510586678260932028965606400 * s 1/ 2

+2515968 * 311o112(6260208323789001636993322654444020882161 + 2799650273060444296577206890718825190235 * 51/ 2) 1/ 2

The series (1.4) with these constants gives 50 additional digits per term.

The Computational Component. The absolute invariant, and so the coefficients A, B, and C satisfy polynomial equations of known degree and height. Thus the problem of determining the coefficients of each series reduces to algebra and can be entirely automated. This is really the dream case for computer aided analysis. Indeed from the expressions for j(t), a(t), b(t) we straightforwardly computed their values to several hundred digits. The lattice basis reduction algorithm, as implemented in Maple, now provides the minimal polynomials for each quantity. In addition, a higher precision calculation actually provides a proof of the claimed identity. This last step requires knowing a priori bounds on the degrees and heights of the invariants. While somewhat mathematically sophisticated, the computation required is fairly easy though a little slow.

2. Frauds and Identities 2a. The Mathematical Component. Gregory's series for 1r, truncated at 500,000 terms, gives to forty places

(2.1)

500,000 k-1

4 L: <~:~ 1 = 3.14159Q6535897932404626433832§9so2884197. k=!

To one's initial surprise only the underlined digits are wrong. This is explained, ex post facto, by setting N equal to one million in the result below:

Theorem 1. For integer N divisible by 4 the following asymptotic expansion holds:

where the coefficients are the even Euler numbers 1, -1, 5, -61, 1385, -50521 ....

The Computational Component. The observation (2.1) arrived in the mail from Roy North. After verifying its truth numerically, it was an easy matter to generate a large number of the "errors" to high precision. We then recognized the sequence of errors in (2.2) as the Euler numbers-with the help of Sloane's Handbook of Integer Sequences. The presumption that (2.2) is a form of Euler-Maclaurin summation is now formally verifiable for any fixed N in Maple. This allowed

us to determine that (2.2) is equivalent to a set of identities between Bernoulli and Euler numbers that could with effort have been established. Secure in the knowledge that (2.2) holds, it is easier, however, to use the Boole Summation formula which applies directly to alternating series and Euler numbers (see [5]).

This is a good example of a phenomenon which really does not become apparent without working to reasonably high precision (who recognizes 2, -2, 10?), and which highlights the role of pattern recognition and hypothesis validation in experimental mathematics. It was an amusing additional exercise to compute 1r to 5, 000 digits from (2.2). Indeed, with N = 200, 000 and correcting using the first thousand even Euler numbers, we obtained 5, 263 digits of 1r (plus 12 guard digits).

2b. The Mathematical Component. The following evaluations are correct to the precision indicated.

Sum 1 (correct to all digits)

where o(n) counts the odd digits inn: o(901) = 2, o(811) = 2, o(406) = 0.

By comparison

Sum 2 (correct to 30 digits)

~ e(2n) = 3166 LJ 2n 3069 n=l

where e(n) counts the even digits inn.

Sum 3 (correct to 267 digits)

~ lntanh1rj = _.!:_ LJ lQn 81 n=l

where l J is the greatest integer function: l3. 7 J = 3.

Sum 4 (correct to in excess of 500 million digits)

00 l J!637r/9j L ne 2n = 1280640. n=l

Sum 5 (correct to in excess of 42 billion digits)

The Computational Component. Analysis of these and other seemingly rational evaluations may be found in [6]. Sum 1 occurred as a problem proposed by Levine, College Math J., 19, #5 (1989) and Bowman and White, MAA Monthly,


-------·····"""""""""""""""""""""""""""""""""""-··················· .. --··-··-·-·-·---··-.. ·-··-··-····················-.. --.. -Computers and Mathematics

96 (1989), 745. Sum 2 relates to a problem of Diamond's in the MAA Monthly, 96 (1989), 838. Sums 2, 3, 4 all have transcendental values and are explained by a lovely continued fraction expansion originally studied by Mahler. Computer assisted analysis leads us to a similar more subtle expansion for the generating function of l na + f3 J :

00

Sum 5 arises from an application of Poisson summation or equivalently as a modular transformation of a theta function. While asymptotically rapid, this series is initially very slow and virtually impossible for high-precision explicit computation.

These evaluations ask the question of how one develops appropriate intuition to be persuaded by say, Sum 1, but not by Sum 2 or Sum 3? They also underline that no level of digit agreement is really conclusive of anything. Ten digits of coincidence is persuasive in some contexts while ten billion is misleading in others. In our experience, symbolic coincidence is much more impressive than undigested numeric coincidence.

3. The Cubic Arithmetic Geometric Mean

The Mathematical Component. For 0 < s < 1, let ao := 1 and bo := s and define the cubic AGM by

(AG3)

which converge cubically to a common limit

(3.1) 1

AG3(l, s) = 2F 1 J(l/3, 2/3; 1; 1 - -s3)

where the hypergeometric function F(s) := 2F1 (1/3, 2/3; 1; s) 00

"' (3n!) n In ' 1 th h ' fi ' = L..J ~ s . particu ar, e ypergeometnc unction n=O

possesses the simple cubic functional equation

( 1 2. . 3) _ 3 ( 1. 2. ( 1 -X) 3) 2F1 3' 3' 1• 1 - x - 1 + 2x 2F1 3' 3' l, 1 + 2x ·

This can be validated symbolically once known! As an example

1 AG3(1, 1/100) = zFt(l/3,2/3; 1; 1-l00-3)

and 4 iterations of (AG3) will compute the hypergeometric function at 0.999999 to 25 significant digits. Any direct computation so near the radius of convergence is doomed.

Continuing, we let

00

(3.2) L(q) := n,m=-oo

and M(q) := (3L(q3) - L(q))/2.

Theorem 2. The functions L(q) and M(q) ''parametrize" the cubic AGM in the sense that if a:= L(q) and b := M(q) then

and M(q3) = 3 (a2 + ab + b2)b

3

while AG3(1, M(q)j L(q)) = L(q). Thus a step of the iteration has the effect of sending q to

q3 • From this, one is led to an easy to state but hard to derive iteration.

Cubic iteration for 1r. Let ao := 1/3, so := (J3- 1)/2 and set

(1 + 2sn)(1 + 2s~_ 1 ) = 3 where s* := \h - s3

an := (1 + 2sn)2an-1 - 3n-l [(1 + 2sni - 1],

then 1 /an converges cubically to 1r.

This iteration gives 1, 5, 21, 70, ... digits correct and more than triples accuracy at each step.

The Computational Component. This is the most challenging and most satisfying of our three examples for computer assisted analysis. We began with one ofRamanujan's typically enigmatic entries in Chapter 20 of his notebook, now decoded in [1]. It told us that a "quadratic modular equation" relating toF was

From this we gleaned that some function R should exist so that u := R(q) and v := R(q2) would solve (3.3). We formally solved for the coefficients of Rand learned nothing. Motivated by the analogy with the classical theory of the AGM iteration [2] we looked at F(l - R(q)3) which produced

F(1- R(q)3) = 1 + 6q + 6q3 + 6q4 + 12q7 + 6q9 + 6q12 + 12q13

+6q16 + 12q19 + 12q21 + 6q25 + ....

This was "pay-dirt" since the coefficients were sparse and very regular. Some analysis suggested that they related to the number of representations of the form m2 + 3n2 • From this we looked at theta function representations and were rewarded immediately by the apparent identity F(l - R(q)3) = L(q). Given the truth of this, it was relatively easy to determine that R(q) = M(q)/ L(q) with MandL as in (3.2).


It was now clear that the behaviour as q goes to q3 should be at least as interesting as (3.3). Indeed, motivated by the modular properties of L we observed symbolically that

(3.4) 3 [ (1 - R(q)) ] 3 1 = R(q) + (1 + 2R(q))

At this stage in [ 4] we resorted rather unsatisfactorily to a classical modular function proof of (3 .4) and so to a proof of Theorem 2. Later we returned with Frank Garvan [8] to a search for an elementary proof. This proved successful. By searching for product expansions for M we were lead to an entirely natural computer-guided proof-albeit with human insight along the way.

It is actually possible, as described in [8], to search for, discover and prove all modular identities of the type of (3.3) and (3.4) in an entirely automated fashion. Again, this is possible because we have ultimately reduced most of the analytic questions to algebra through the machinery of modular forms.

As a final symbolic challenge we observe that (3 .1) may be recast as saying that

where { 00 tdt

I(a, b)= lo \/(t3 + a3)(t3 + b3)2.

This invariance should be susceptible to a direct-hopefully experimentally guided-proof.

4. Conclusions The sort of experiences we have had doing mathematics interactively has persuaded us of several conclusions. It is necessary to develop good context dependent intuition. It is useful to take advantage of the computer to do the easymany unimaginable hand-calculations are trivial to code. (So trivial, in fact, that one has to resist the temptation to compute mindlessly.) The skill is to recognize when to try speculative variations on a theme and to know when one has actually learned something from them. The mathematical opportunities are virtually unlimited but only in a relatively painless to use high-level and multi-faceted environment.

5. References [1] B.C. Berndt, Ramanujan's Notebooks. Part ITI, (Springer

Verlag, 1991). [2] J.M. Borwein and P.B. Borwein, Pi and the AGM- A Study in

Analytic Number Theory and Computational Complexity, (Wiley, N.Y., 1987).

[3] J.M. Borwein and P.B. Borwein, "More Rarnanujan-type series for 1/7r", in Ramanujan Revisited, (Academic Press Inc., San Diego, CA, 1988), 359-374.

[ 4] J .M. Borwein and P.B. Borwein, "A cubic counterpart of Jacobi's identity and the AGM", Trans. Amer. Math. Soc. 323 (1991), 691-701.

[5] J.M. Borwein, P.B. Borwein, and K. Dilcher, "Euler numbers, asymptotic expansions and pi", MAA Monthly, 96 (1989), 681-687.

[6] J.M. Borwein and P.B. Borwein, "Strange series evaluations and high precision fraud", MAA Monthly, in press.

[7] J.M. Borwein and P.B. Borwein, "Class number three Rarnanujan type series for 1/7r", Journal of Computational and Applied Math (Special Issue), in press.

[8] J .M. Borwein, P.B. Borwein, and F. Garvan, "Some cubic modular identities ofRamanujan", Trans. Amer. Math. Soc., in press.

[9] D.V. Chudnovsky and G.V. Chudnovsky, "Approximizations and complex multiplication according to Rarnanujan", in Ramanujan Revisited, (Academic Press Inc., San Diego, CA, 1988), 375-472.

[10] S. Rarnanujan, "Modular equations and approximations to 1r", Quart. J. Math. 45 (1914), 350-72.

Reviews of Mathematical Software

Maple VandMathematica Reviewed by Paul C. Abbott*

Abstract A comparison of two popular computer algebra systems (CAS), Maple and Mathematica, is presented from a users viewpoint. Solved examples highlight the different conventions, environment, and tools that each system provides. Special attention is paid to system design through examples of consistency of function naming, syntax, and the ease with which output from one computation can be entered as input to another.

Introduction This review assumes a passing knowledge of computer algebra. An introduction to CAS is given in [1-3] and I encourage the reader to refer to the detailed descriptions of Maple [4-7] and Mathematica [8-10] for more information.

Both Maple and Mathematica are very large programs, and this review does not even attempt to cover their scope. There have been many reviews of each system individually and some comparative reviews [11-12]. The focus here is on the results of one user trying to solve a set of problems using each system.

Maple and Mathematica are under active development, both by their respective manufacturers and by the inclusion of contributed packages from the large and rapidly growing community of CAS users. The capabilities of each package are changing dynamically. Both packages have comprehensive (symbolic) programming languages, and so the

*Paul Abbott received his Ph.D. in theoretical atomic physics from the University of Western Australia in 1987. His research relied heavily on computer algebra. In 1989, Abbott was involved with the foundation of The Mathematica Journal as Technical Editor. In 1991, he founded Analytica, a company based in Perth, Western Australia, that sells and supports a range of technical software packages. In 1992, Abbott was appointed to _the s_taff of_ the Dep~ment of Physics at the University of Western Australia. H1s email address 1s paul @earwax.pd.uwa.oz.au.



implementation of capabilities only found in one of the systems is, in general, achievable. Of course, the ease of doing this is another matter altogether.

I have restricted this review to Mathematica and Maple because both programs are widely available on a large number of machines, including most unix workstations, the Macintosh, 386-based PC, and the NeXT. In my opinion, Maple and Mathematica are the best general purpose systems presently available and this is the closest to a head-to-head contest. Many users will make their choice of CAS on the basis of a comparison between these systems, and I believe that the best way to make an informed decision is to actually try using both systems.

There are a plethora of other CAS, and I will only mention those that I have used. Derive is an excellent small CAS but only runs on the PC. Theorist, which has a friendly interface but more modest algebra, is presently restricted to the Macintosh. The capabilities of older packages such as Macsyma and Reduce have, to a very large extent, already been subsumed by Mathematica and Maple. The recent AXIOM package (formerly Scratchpad) is very powerful and has a strong mathematical foundation, but presently runs only on a very limited range of hardware and is not intended for the casual user.

The questions that I will attempt to answer are: • Which system is easier to use? • Which environment is better? · • Does the system work as expected? • Can the user easily develop intuition about which com-

mands achieve what result? These questions (and their answers) are, to a large extent, subjective. To answer them I have attempted to produce a "good" solution using each system and let the reader decide which system is more "natural" for each problem.

Many users can, with effort, become expert even on systems that are not very user-friendly. Perhaps surprisingly, students are often more malleable than professors as they usually have less preconceived notions about programming styles or a wide range of experience to help them decide what is a good system. Nevertheless, good system design permits users to go further faster. Though expert users can work around bugs and design problems, casual users are often put off.

In this review, I focus on high-level system design and have not listed bugs that exist in either system. Certainly, neither is perfect. My hope is that CAS designers will treat this review as constructive criticism.

Although both systems have extensive graphics capabilities, reviewers have been unanimous in declaring Mathematica's graphics to be superior. At the risk of making this review dull, I have therefore decided not to present any examples of the graphics capabilities of either system.

Since both programs have many capabilities in common, the choice between them can become simply a matter of style or taste. The reasons for choosing one system over another may include: • cost or availability

• programming background • prior experience with a system • graphics capabilities • colleagues are more familiar with a particular package • source code availability • local computers already have one system installed • available hardware • one system has routines or special purpose packages that

does just what is required These differences will be ignored for the purpose of this review.

At the time of writing, I personally have used Mathematic a for 3 years and Maple for about one year and I presently use both on a regular basis. In addition, I worked for Wolfram Research and am presently a contributing editor for The Mathematica Journal. I manage a company which resells technical software and I sell and support both products. Nevertheless, I certainly have more experience and expertise with Mathematica, and this review should be judged with that in mind. I have certainly not been reluctant to seek help from experts, ensuring that I am "doing the right thing" in both systems. Any errors that remain are solely my responsibility.

Hardware Used I have produced this review on a Macintosh SE/30 with 8 MByte of RAM running system 7.0.1. Only interface-specific comments are restricted to this environment.

I used Maple V for the Macintosh, Version 5.0.1 (November 1991) and Mathematica for the Macintosh 2.0.4 (September 3, 1991). I set Mathematica to use 5,120 kBytes of RAM and Maple to use 2,500 kBytes.

Examples Using examples, I will attempt to compare the usability of each system by presenting a solution using Maple followed by one using Mathematica.

History Mathematica automatically keeps track of every input and output during a session. Previous expressions can be referred to using the relative referencing, e.g., %, %%, %%%, for the previous, second previous, and third previous expressions or using absolute referencing, i.e., %n, where n is an output number-in general, absolute referencing is discouraged as the line numbers will change from session to session. However, it can be useful when you have proceeded down an unfruitful line of investigation and you quickly want to return to an earlier result.

For relative referencing, Maple uses an analogous device, i.e., 11 , 1111 , 111111 • However, Maple only keeps the last three expressions. To keep track of all previous output it is necessary to load the history library package. However, this only permits the use of 11 relative referencing. Absolute referencing is denoted by On where n is an output number.

The history mechanism is used sparingly in this review, but it is mentioned because, when using a CAS, the ability to



go back and review or recompute previous computations is essential.

Timing Because the examples presented are short, timings are not presented. Note that in general, reviews only show system timings. The "user-interface time", which can be quite substantial, is difficult to quantify as it can depend upon the user's expertise with the interface.

Notation For both systems, input is displayed left-justified as:

input

whilst ouput is indented:

output.

Solution of equations This section will examine how easy it is to manipulate and evaluate the solutions to the system of equations, 7 x+ 3xy2 = 0 and xy + 3x - 1y = 1.

Maple The exact solution to the system of equations is found using

s := solve({7•x + 3•x•y~2 = 0, x•y + 3•x - 7*y = 1}, {x,y}

s := {x = 0, y = -117},

2 {y = Root0f(7 + 3 _z ),

30 2 29 x = ---- Root0f(7 + 3 _z ) + ----}

17 17

At first glance there appear to be only two solutions. However, Maple uses RootOf as a placeholder for all the solutions of the specified polynomial. This is elegant and permits the solutions to be expressed in a very concise form.

The Maple solution, s, is not in a very convenient format from the perspective of ease of use in other related calculations. Using evalf (s); or map(evalf, s); one gets syntax errors. The problem is that solve returns a sequence (an exprseq object) which must be converted into a set ( { } ) or a list ( [ J ), e.g.,

evalf({s});

{{x = 0, y = -.1428571429}, {y = 1.527525232 I,

X= 2.695632762 I + 1.705882353}}

Alternatively, examining the second root, denoted s [2] , one can get a numerical value directly, e.g.,

evalf (s [2]);

{y = 1.527525232 I, X= 2.695632762 I+ 1.705882353}

However, this is only one of the possible values. To obtain all such values, all values must be used, e.g.,

allvalues(s[2] [1]);

112 y = 113 I 21

112 , y = - 113 I 21

and both the numerical values are obtained from

evalf({"});

{y = 1.527525232 I, y = - 1.527525232 I}

Now let's examine how the solutions can be reused. We substitute the second solution, s [2] , into the linear equation x2 - 3y:

subs(s[2], x~2- 3•y);

I 30 2 29 \2 1---- Root0f(7 + 3 _z ) + ----1 \ 17 17 I

2 - 3 Root0f(7 + 3 _z )

and evaluate it following the procedure above:

evalf({allvalues(")}); 2

{(2.695632762 I + 1.705882353) + 4.582575695 I,

2 (2.695632762 I+ 1.705882353)

- 4.582575695 I, 2

( - 2.695632762 I + 1.705882353) - 4.582575695 I,

2 ( - 2.695632762 I + 1.705882353)

+ 4.582575695 I }

This expression is not simplified automatically, and we need to expand it:

expand(");

{ - 4.356401386 + 4.614289023 I, - 4.356401386 - 4.614289023 I, - 4.356401386 + 13.77944041 I, - 4.356401386 - 13.77944041 I}



Mathematica For Mathematica with the same problem

s = Solve[{7x + 3x y-2 == 0, X y + 3 X - 7 y == 1}, {x,y}]

1 {{x -> 0, y -> -(-)},

7 58 + 20 I Sqrt[21] 7

{x -> ------------------34

y -> I Sqrt[-]}, 3

58 - 20 I Sqrt[21] 7 {x -> ------------------

34 y -> -I Sqrt[-]}}.

3

We note several syntactical differences. Mathematica accepts a space as implying multiplication, ==denotes equality instead of=, and no trailing semicolon is required to terminate the input line.

To evaluate these solutions numerically we type

N[s]

{{x -> 0, y -> -0.142857}, {x -> 1.70588 + 2.69563 I,

y -> 1. 52753 I}' {x -> 1.70588- 2.69563 I,

y -> -1:52753 I}}

and to substitute these solutions into x2 - 3y, we write

x-2.-· 3y 1. s II Expand

3 1259 97 I {-, -(----) + ---- Sqrt[189],

7 289 289 1259 97 I

-(----) - ---- Sqrt[189]} 289 289

where I. is a shorthand notation for ReplaceAll (i.e., substitution) and I I denotes a postfix operation-acting much like a Unix pipe. The numerical values are given by

N[%]

{0.428571, -4.3564 + 4.61429 I, -4.3564 - 4.61429 I}.

Numeric differential equations Consider the differential equation y"(x)+sin2(x)y'(x)+y(x) = cos2(x) with initial conditions y(O) = 1 and y'(O) = 0.

Maple The command

g := dsolve({diff(y(x),x$2) + sin(x)-2 * diff(y(x),x) + y(x) = cos(x)-2,

y(O) 1, D(y)(O) = 0}, y(x), numeric);

yields a Maple procedure for computing the numerical solution,

proc(x) 'dsolvelnumeric/ result2'(x,10523004,[2]) end.

This returns (a sequence) of x, g (x) pairs, e.g.,

g(0.3); .3000000000, .9993367370

Here a list of x , g (x) values is requested-note that the pair structure is lost:

map (g, [$ 1. . 3] ) ;

[1., .9347835943, 2.000000000, .5180974671, 3.000000000, .1830905706]

There appears to be no simple way of computing numerical values of the derivatives of g (x).

Mathematica For the same problem in Mathematica, the command

NDSolve[{y''[x] + Sin[x]-2 y'[x] + y[x] == Cos [x] -2, y [0] == 1, y' [OJ == 0}, y,

{x,0,3}]

returns a nested list of solutions in the form of interpolating functions expressed as replacement rules, i.e.,

{{y->InterpolatingFunction[{O., 3.}, <>]}}.

The output of NDSol ve is consistent with Solve and hence caters for multiple solutions and coupled equations. Assigning the result using

y = y 1. First[%];

permits y to be treated as a normal function, e.g.,

y [0. 3] 0.999336.

The Table command generates a list of {x, y [x] } values, e.g.,

Table[{x, y[x]}, {x,3}]

{{1, 0.934784}, {2, 0.518099}, {3, 0.183088}}.

Because the solution is returned as an interpolating function, derivatives can be computed, e.g.,

y' [0.3] -0.00875584.


....................................................................................................................................... _ .. , ................... ~ ............. ._ _________ ~~· .. -·---~·~ ... -----Computers and Mathematics

Integration Here is an example which requires the Risch integration algorithm.

Maple Consider the function sin(sin(x)). In Maple notation, this can be entered as

f := x -> sin(sin(x)); x -> sin(sin(x)).

One method of obtaining the second derivative is to use the composition operator (<D):

g := (D<DD)(f);

x -> - sin(sin(x)) cos(x) - cos(sin(x)) sin(x)

2

Alternatively one could use diff (f (x) , x$2 ) ; . The integral of this expression is

int(g(x), x); 4

(- 2 tan(112 x) 2

- 2 tan(112 x)

tan(112 x) 2 - 2 tan(----------)

%1 2 tan(112 x) 2

- 2 tan(112 x) tan(----------) ) %1

I I tan(l/2 x) 2\ 2 I (11 +tan(----------) I %1 )

I \ %1 I 2

%1 := 1 + tan(112 x)

where %1 identifies a common subexpression. Maple automatically generates these when handling large expressions. This simplifies to:

simplify("); 2

2 cos(x) cos(112 sin(x)) - cos(x) + 1.

One method of fully compacting this result is to write out fully the required simplification:

simplify(subs(cos(112*sin(x))~2 = (1+cos(sin(x)))l2, result));

cos(x) cos(sin(x)) + 1.

Apart from a constant of integration, this agrees with

diff(f(x), x); cos(x) cos(sin(x))

as it should.

Mathematica Defining the function

f[x_] = Sin[Sin[x]] Sin [Sin [x]]

its second derivative is given by

f'' [x] 2

-(Cos[Sin[x]] Sin[x])- Cos[x] Sin[Sin[x]].

Both languages are quite rich-the user could have entered Derivative [2] [f] [x], or D [f [x], {x, 2}].

Requesting the integral of this expression

Integrate[%, x] Cos[x] Cos[Sin[x]]

we immediately get the simplified solution, which agrees with

f' [x] Cos[x] Cos[Sin[x]].

Pattern-matching

Maple The expression 2*cos (112*sin(x)) ~2, which arose in the previous section, can be simplified using generic substitution for the expression 2*cos (y) ~2 where y is arbitrary. In Maple, only rudimentary pattern-matching is available and it is not well integrated into the system. For example,

match(2*cos(112*sin(x))~2 = a*cos(b*sin(x))~c, x, 'd');

true

reveals that the expressions do indeed match and the matching parameters are given by

d; {b = 112, a= 2, c = 2}.

However, attempting something like

match(2*cos(112*sin(x))~2*cos(x)

a*cos(b*sin(x))~c, x, 'd'); false

fails.

Mathematica Mathematica relies heavily on pattern-matching. The combination of replacement and generic pattern-matching capabilities makes manipulation of expressions straightforward.



The expression that Maple encountered in the previous section, 2 Cos [x] Cos [Sin [x] /2] ~2-Cos [x] +1, can be simplified using a rule which replaces all expressions involving squares of the cosine function, e.g.,

2 Cos[x] Cos[Sin[x]/2]~2- Cos[x] + 1 /. Cos[x_]~2 -> (1 + Cos[2 x])/2 //Expand

1 + Cos[x] Cos[Sin[x]].

Here the generic expression x_ matches with Sin [x] /2. I have deliberately chosen to use the symbol x in both expressions to demonstrate that no confusion arises (at least for Mathematica).

Functions, Map, and Apply

Maple Multivariate pure (anonymous) functions in Maple are implemented in an elegant fashion using standard mathematical notation, e.g.,

((a,b) -> a~2 + b~3)(c,d); 2 3

c + d.

For work on a set or list of pairs you can use either a third argument to map, e.g.,

map((a,b) -> h(a,b), {1,2}, x); {h(1, x), h(2, x)}

or the zip function, e.g.,

zip((a,b) -> h(a,b), [1,2,3], [c,d,e]); [h(1, c), h(2, d), h(3, e)].

There is no generalization of map and zip to higher dimensions.

Mathematica lnMathematica, multivariate pure (anonymous) functions are less elegant. Two equivalent expressions are

Function[{a,b}, a~2 + b~3] [c,d] 2 3

c + d

or, alternatively,

If the argument is a list of pairs, then one needs to apply the function to the set of pairs at the first level, e.g.,

Apply[Function[{a,b}, h[a,b]], {{1,c},{2,d},{3,e}}, 1]

{h [1 , c] , h [2, d] , h [3, e]} .

ThecommandApply[h, {{1,c},{2,d},{3,e}}, 1] is simpler and achieves the same result. Both results generalize immediately to any number of arguments, e.g.,

Apply[h, {{1,c,f},{2,d,g},{3,e,h}}, 1] {h[1, c, f], h[2, d, g], h[3, e, h]}.

Matrices

Maple Maple supports sequences, lists, sets, arrays, tables, vectors, and matrices, and each object is a different data type. After loading the linalg package (suppressing the long output using:),

with(linalg): Warning: new definition for col Warning: new definition for norm Warning: new definition for trace,

one can work with matrices. Note that tracing computations is now difficult because trace, previously permitting system tracing, now computes the trace of a matrix. This confusion can be avoided by loading the required functions using a more explicit invocation, e.g., with(linalg, matrix). Nevertheless, it seems that different names (or contexts) should have been chosen for one of these procedures.

Consider constructing two general 2 x 2 matrices, mt and

m1 := matrix(2,2,(a,b) -> h(a,b)); [ h(1, 1) h(1, 2) ] [ ] [ h(2, 1) h(2, 2) ]

m2 := matrix(2,2,(a,b) -> j(a,b)); [ j(1, 1) j(1, 2)] [ ] [ j(2, 1) j(2, 2)]

To add these matrices one can use add or evalm, e.g.,

evalm(m1 + m2); [h(1, 1) + j(1, 1), h(1, 2) + j(1, 2)] [h(2, 1) + j (2, 1)' h(2, 2) + j (2, 2)]

and for matrix multiplication we have

evalm(m1 &* m2); [h(1, 1) j (1, 1) + h(1, 2) j (2, 1)'

h(1, 1) j (1, 2) + h(1, 2) j (2, 2)] [h(2, 1) j(1, 1) + h(2, 2) j(2, 1),

h(2, 1) j(1, 2) + h(2, 2) j(2, 2)]

where &* is used to indicate noncommutative multiplication. Here is one way of computing 3 x m1 + 5 x m2:

add(m1, m2, 3, 5); [3 h(1' 1) + 5 j (1' 1) '

3 h(1, 2) + 5 j(1, 2)] [3 h(2, 1) + 5 j(2, 1),

3 h(2, 2) + 5 j(2, 2)].



In Maple, arrays and matrices are different objects although both output formats are identical and conversions are required to change between appropriate types. Although the need for a range of data-types is recognized, automatic type coercion could be included.

Mathematica Mathematica has fewer data structures and the list structure is fundamental-all expressions in Mathematica can be acted upon as though they are lists. No data-type conversions are required to change between appropriate objects such as matrices, arrays, vectors, sets, and tensors. A Mathematica matrix is simply a list of lists of equal size and can be created using the Array command. For example,

m1 = Array[h, {2,2}] {{h[1, 1], h[1, 2]}, {h[2, 1]' h[2, 2]}}

and

m2 = Array[j, {2,2}] {{j [1, 1]' j [1, 2]}, {j [2, 1]' j [2, 2]}}

are two matrices and can be added using

m1 + m2 {{h[1, 1] + j[1, 1], h[1, 2] + j [1, 2]},

{h [2' 1] + j[2' 1], h [2' 2] + j [2' 2] }} .

In Mathematica, matrix multiplication is indicated using the dot product operator (. ). It can be argued that this is inconsistent from a mathematical viewpoint but, since each suboperation in matrix multiplication is really a dot product operation, it is a neat mnemonic. Here is the matrix product:

m1.m2 {{h[1, 1] j[1, 1] + h[1' 2] j[2, 1],

h[1, 1] j[1, 2] + h[1, 2] j [2, 2]}, {h[2, 1] j[1, 1] + h[2, 2] j[2, 1], h[2, 1] j[1, 2] + h[2, 2] j[2, 2]}}.

The . notation can also be used for the product of matrices and vectors, e.g., m1. {x, y}, and keeps ordinary multiplication free to represent element by element arithmetic for appropriate sized matrices, e.g., m1 * m2.

Scalar multiplication and addition are immediate, e.g.,

3 m1 + 5 m2

Series

Maple

{{3 h [1' 1] + 5 j [1' 1] ' 3 h[1, 2] + 5 j[1, 2]},

{3 h[2, 1] + 5 j[2, 1]' 3 h[2, 2] + 5 j[2, 2]}}

In Maple, series are computed via the series operation, e.g., here is the expansion of sin(tan(x))- tan(sin(x)) about x = 0

to eleventh order:

s := series(sin(tan(x)) - tan(sin(x)), x, 11); 7 29 9 11

- 1/30 X ----X + O(x ). 756

This series can be integrated (int (s, x);) or differentiated (diff (s, x); ), but other basic operations are not supported, e.g., s A2; does not work, and the user must be more explicit:

series(sA2, x, 17);

14 29 16 18 1/900 X +-----X + O(x ).

11340

Conversion to a number of other types is supported, e.g., conversion to a polynomial: ·

convert(s, polynom);

Mathematica

7 29 9 - 1/30 X - --- X.

756

Mathematica has the function Series for computing Taylor series. A shorthand for requesting series expansions is to add the required order to the expression, e.g.,

s = Sin[Tan[x]] - Tan[Sin[x]] + O[x]A11

7 9 -x 29 X 11

----- + O[x]. 30 756

Appropriate operations are supported, e.g., integration (Integrate [s, x] ), differentiation (D [s, x] ), and powers (sA2). The truncated (polynomial) form of the series is given using Normal;

Normal [s] 7 9

-x 29 x

30 756

Recursive functions and tracing Both programs support recursive functions and each has tracing capabilities. Maple traces expressions to a certain depth. Mathematica's tracing is linked to its pattern-matching capability. The Fibonacci numbers are used to highlight the differences.



Maple Maple supports recursive function definitions and type checking, e.g.,

fib := proc(n) if not type(n, integer) then

RETURN( 'fib(n)') fi; if n = 0 or n = 1 then RETURN(n) fi; fib(n-1) + fib(n-2)

end:

Switching on the tracing

trace(fib):

and trying

fib(3);

--> enter fib, args = 3 --> enter fib, args = 2 --> enter fib, args = 1 <-- exit fib = 1 --> enter fib, args = 0 <-- exit fib = 0

1 <-- exit fib = 1 --> enter fib, args 1 <-- exit fib = 1

2 <-- exit fib = 2

2

we see that fib is recomputing values (as its definition would suggest). This can be prevented by adding a remember option to the function definition, i.e.,

fib := proc(n) option remember;

end:

if not type(n, integer) then RETURN( 'fib(n)') fi;

if n = 0 or n = 1 then RETURN (n) f i ;

fib(n-1) + fib(n-2)

Mathematica In Mathematica one can adopt a rule-based approach, including argument type-checking, e.g.,

fib[n_Integer] := fib[n-1] + fib[n-2] fib[O] 0; fib[1] = 1;

The function Trace can trace all calls to the function fib;

Trace [fib [3] , fib] {fib[3]' fib[3 - 1] + fib[3 - 2]'

{fib[2]' fib[2 - 1] + fib[2 - 2]' {fib[1], 1}, {fib[O], 0}}, {fib[1], 1}}.

Supplying a pattern, (here using a conditional, I;, read as such that) permits more selective tracing, e.g., to trace all calls to fib such that the argument to the function is 2:: 2, we type

Trace[fib[4], fib[n_ /; n >= 2]] {fib[4], {fib[3], {fib[2]}}, {fib[2]}}.

We can see that fib is recomputing values. To remember previous values we enter,

fib[n_Integer] := fib[n] fib[n-1] + fib[n-2]

which uses "dynamic programming". Tracing the Mathematica assignment operator, Set(=), e.g.,

Trace[fib[3], Set] {fib[3] = fib[3- 1] + fib[3- 2],

{{fib[2] = fib[2 - 1] + fib[2 - 2]' fib[2] = 1, 1}}, fib[3] = 2, 2}

confirms that the intermediate expressions are now being saved.

Consistency of function naming Naming consistency is important because it simplifies the user's task in finding the appropriate object. More importantly, syntactical consistency helps to develop an intuition as to how a system will behave.

Maple In Maple some of the special functions are capitalized, e.g., Bessell and FresnelC, which should be compared with, e.g., sin and cos. However, gamma represents Euler's constant, 'Y· but GAMMA has been chosen for the function f(x). All inert functions have their first letter capitalized, e.g., Sum, Factor, and Prem (but Bessell is not inert).

In general, polynomial operations over the field of rational numbers use lower-case, e.g., factor, gcd, rem, and quo, whilst upper case refers to the corresponding inert form. As an example:

Factor(x~2 + 2*x + 2) mod 2; 2

x.

Note that Solve(x~2 + 2*x + 2 = 0) mod 2; does not workandmsolve(x~2 + 2*x + 2 = 0, x, 2); isrequired instead.


-····-·-··········--················-·-······-·········· ·-···-······· --------···· ··-·-------·~~------·---Computers and Mathematics

Mathematica Mathematica appears to be completely consistent in function naming and syntax uniformity. For example, all function names have the first letter of each (concatenated) word capitalized. All words are spelled out fully. All numerical functions are preceded by a capital N, all Plot functions contain Plot, and all commands for plotting (lists of) data have List as the first part of their name.

Note that both systems permit the assignment of aliases which allow user customization.

Conclusions

General I continue to use both programs and retain an active interest in the application of computer algebra to problems in the physical sciences.

Pattern-matching and rule-based programming are vital components of Mathematica and are well integrated into the system. This is an area in which Maple could be significantly improved.

For teaching and also for research laboratories, the principal disadvantage of Mathematica versus Maple is the size of the computer required to run the software-5MBytes versus 2MBytes on a Macintosh (with a similar requirement for a PC running Windows) However, improvements in hardware and reductions in the cost of RAM are reducing this differential.

Both Waterloo Maple Software and Wolfram Research Inc. have site-licensing deals. In addition, Wolfram Research has an Educational Grant Program for the establishment of teaching laboratories.

Only Mathematica presently has the ability to have the computational kernel running on a separate compute-server with the graphical user interface front-end on local machines. This mode can be ideal for teaching laboratories.

Worksheets and Scratchpads versus Notebooks The Mathematica Notebook interface has a hierarchical structure which permits flow control, and all graphics are immediately placed into the document. In the Maple Worksheet, graphics appear in a separate window and need to be pasted into the Worksheet. Hence, graphics are not dynamically linked to the commands that produced them.

Notebooks are strictly ASCII text and automated conversions to other formats, e.g., 1}3X and the Macintosh Rich Text Format (RTF) are supported. For publication, dissemination, and electronic transmission, the Notebook is certainly more flexible.

After using both the Mathematica Notebook and the Maple V interface, I find the Maple "Active Worksheet Window" concept complicated and I do not appreciate the need for both a Worksheet and a Scratchpad. Scratchpads, which redirect their output to the Active Worksheet, indicate to me that they are not really necessary. I quote from page 14 of [7]:

Scratchpads are meant to be used primarily for rough textual work and transferring selected calculations from previous Maple sessions into the Active Worksheet. The work

done on Scratchpads can be thought of as work done on scrap paper when a problem is being done by hand.

Obtaining the software Maple: Waterloo Maple Software Phone: 519-747-2373 Fax: 519-747-5284 email: wmsi @daisy.uwaterloo.ca

Mathematica: Wolfram Research Inc. Phone: 217-398-0700 Fax:217-398-0747 email: info@ wri.com

Acknowledgments Helpful discussions with Simon Fitzpatrick, Grant Keady, Michael Monagan and Benton Leong (Maple), and Emily Martin (WRI) are acknowledged. Thanks go to Hilde Singer (Maple) and Ben Friedman and Jane Rich (WRI) for supplying the copies of Maple and Mathematica used in this review. Further thanks to Tom Marchioro for assistance with 'lEX-

References

General [1] Pavelle, R., Rothstein, M., and Fitch, J., Sci. Am., 245, 102 (1981). [2] Harper, D., Woof, C. and Hodgkinson, D. A Guide to Computer Algebra Systems, Wiley (1991). [3] Yun, D.Y., Stoutemyer, D. Symbolic Mathematical Computation in Belzer, J., Holzman, A. G., Kent, A. (eds.) Encyclopedia of Computer Science and Technology 15, pp. 235-310 (1980).

Maple [4] Char, B.W., Geddes, K.O, Gannet, G.H., Leong, B.L., Monagan, M.B., and Watt, S.M., First Leaves: A Tutorial Introduction to Maple, Springer (1991). [5] Char, B.W., Geddes, K.O, Gannet, G.H., Leong, B.L., Monagan, M.B., and Watt, S.M., Maple V Language Reference Manual, Springer (1991). [6] Char, B.W., Geddes, K.O, Gannet, G.H., Leong, B.L., Monagan, M.B., and Watt, S.M., Maple V Library Reference Manual, Springer (1991). [7] Maple V for the Macintosh: Getting Started, Waterloo Maple Software, Waterloo (1991).

Mathematica [8] Wolfram, S., Mathematica: A System for Doing Mathematics by Computer, Second Edition, Addison-Wesley (1991). [9] Maeder, R., Programming in Mathematica, Second Edition, Addison-Wesley (1991). [10] The Mathematica Journal, published quarterly by Addison-Wesley.



Reviews [11] Simon, B., PC Magazine, 9 (10) (1990). [12] Simon, B., Notices of the AMS, 37 (7) (1990).

Three Scientific Word Processors Reviewed by J. S. Milne*

Eighteen months ago in the Notices (October 1990, pp. 1018-1022), I reviewed four scientific word processors for IBM PC compatibles. Since then two of the word processors, ChiWriter and Leo, have received significant upgrades, and the authors of a third have introduced a completely new word processor called Scientific Word. This review discusses ChiWriter 4.02, Leo 1.4, and Scientific Word 1.0.

They are very different programs. ChiWriter is a traditional "what-you-see-is-what-you-get" scientific word processor with "typewriter" quality output; it relies on a converter to turn its files into lEX. Both Leo and Scientific Word work directly with 1EX files, but display the mathematics on the screen in usual mathematical notation as you type it. ChiWriter and Leo run under DOS and have traditional DOS interfaces: commands are generally selected off displayed menus by typing initial letters. Scientific Word runs under Windows 3.0 (or 3.1) and has a more Mac-like interface: commands are generally selected using a mouse to click on icons or menu items. All three programs have "intelligent" mathematical structures: root signs, fraction bars, matrices, etc.; all automatically adjust their size to accommodate their contents.

ChiWriter ChiWriter now automatically reformats your paragraphs as you alter them, and it has an "undo" command that allows you to step back through an almost unlimited number of key strokes. It is a complete word processor with such features as spell checking, the ability to open several documents simultaneously, and semi-automatic hyphenating. Version 4 adds dialog boxes, so that you can make several choices off a single screen, for example, when choosing a format for a paragraph or printing a document. The intelligent mathematical structures, also new to version 4, work well and make it much easier to type complicated mathematical expressions.

Because the mathematics in a ChiWriter document is now more structured, conversion to 1FX is more successful. The program succeeded completely in converting eight of the twelve complex expressions displayed in my last review, and made only minor errors in the remaining four. However, a converted document will still need extensive editing to turn it into good lEX- Apart from numerous minor errors, the converter attempts to format the document in the same manner

*J. S. Milne is at the University of Michigan at Ann Arbor. He can be reached by email at: [email protected]. This review was written in May 1992.

as ChiWriter by inserting formatting information before each paragraph and heading. Replacing this with "correct" 1EX formatting takes time.

ChzWriter has grown in size and now makes frequent disk accesses. It runs well on a 286 computer with a fast hard disk.

Leo Version 1.4 of Leo adds the ability to toggle between viewing a line as mathematics or "verbatim" as lEX-code. This allows 'IEXperts to fine tune their 1EX -code and to enter commands that are difficult with Leo's usual interface, for example, any command not directly supported by Leo that requires quotation marks. It is instructive to type some mathematics and then to view the complicated code that Leo has inserted into your file.

The three versions of Leo, for plain lEX, ~-lEX, or :u\'!FX, work identically except that some menu choices, for example, commutative diagrams, are missing from some versions, and the code that the different versions insert into your file will differ slightly. Thus Leo will be useful for someone who needs to work with more than one dialect of '!FX.

I have used Leo extensively over the last two years. One feature I particularly like is its support of shortcuts. I find it more convenient to enter items by means of my own shortcuts (for example, qa for a, qb for /3, etc.) than by any combination of function or control keys. My only real dislike is its rather clumsy method for deleting and copying text and its lack of automatic paragraph reformatting. Since the manual reformatting program recognizes only a blank line as a paragraph ending, hitting the reformat key can reduce your carefully organized list into one solid mass.

Leo requires very little equipment. Version 1.3 ran happily on an 8086 lap top with a CGA display and no hard disk. Version 1.4 has grown in size and uses disk caching except for very short documents, and so a hard disk is preferred. Its print program makes it possible to print quick drafts on most printers in the absence of lEX-

Scientific Word While Leo protects the user from having to view mathematics in '!FX-code, the goal of Scientific Word is to protect the user from 1FX entirely. The program includes a complete implementation of Turbo-lEX, and you can preview or print your document from within Scientific Word.

Its basic interface is similar to other Windows word processors; for example, the menus and commands for working with files and for the basic editing functions are the same as for Windows Write, the word processor that comes with Windows. All commands can be executed by mouse clicks, but there are keyboard shortcuts for most. They work very smoothly.

The various mathematics characters and symbols are hidden under icons at the top of the screen, roughly corresponding to the tables 3.3-3.9 in the user's guide to :u\1EX (L. Lamport, Addison-Wesley, 1986). To insert a symbol into your docu-



ment, click on the appropriate icon to pull down a table of symbols, and then click on the symbol. The most frequently used symbols are displayed with their own icon and can be inserted with a single mouse click. To insert a matrix, first choose the brackets you want and then click on the matrix icon. This opens a dialogue box in which you choose the size of the matrix and how to align the entries and the matrix. A grid of the appropriate size is then displayed on your screen, and you type in the entries. Again keyboard shortcuts are available.

Entering mathematics is equally easy in all three programs, but novice users will find it easier to find the symbols they need with Scientific Word.

Scientific Word comes with 44 style files for different types of documents-articles, books, letters, memos, or reports. The choice of style determines how '.lEX will print your file.

For headings, you select the level of the heading, e.g., Chapter head or Subsubsection head, from a pop-up menu before typing it. Depending on the style file you are using and the choices you have made, the program may automatically number the headings and include them in a table of contents.

Since Scientific Word runs under Windows 3 .0, it has direct access to all the memory in your computer (2M is required, 4M recommended), and it is possible to run Scientific Word simultaneously with other programs in windows on your screen. For example, when you open a window into the Clipboard on your screen, text copied from Scientific Word to the Clipboard will display verbatim in the window.

The current version of Scientific Word uses J&\1EX 2.09 together with a few additional macros similar to some of ~-'.lEX's. J&\1EX is probably the most popular version of 'lEX because of its sophisticated document handling features, but ~-'lEX users will miss a few features. (See Jon Barwise's article in the Notices, March 1989, pp. 241-243, for a discussion of the various versions of 'lEX.) The authors of Scientific Word plan to incorporate ~-J&\'IEX, which adds ~-'.lEX's features on top of J&\'IEX, in a future version.

More significantly, Scientific Word, unlike Leo, does not support the AMS fonts (fraktur, blackboard bold, cyrillic, and additional symbols). Support is being considered for a future version.

On a standard monochrome VGA monitor, the display is good; on a 16 inch color monitor at a resolution of 1024 x 768, it is spectacular. Scientific Word makes good use of color, for example, by displaying mathematics in red to distinguish it clearly from text. This size of the displayed text can be varied almost arbitrarily to suit the size of your monitor. The editing screen displays the mathematics correctly in mathematical notation, but it does not accurately represent the printed output-it is not a previewer.

One problem for word processors based on 'lEX is that there is more than one way to enter a piece of mathematics into a 'lEX-file, and computers abhor ambiguity. When reading a 'lEX-file, both Leo and Scientific Word will attempt to convert it to their own unambiguous form, and Scientific Word will even attempt to expand out a list of abbreviations at the start of a file. Neither claims to be able to read all 'lEX

files, but I have had good success with both. Scientific Word had no trouble reading an 83 page (157K) J&\1EX document; items not currently supported by Scientific Word (fraktur and blackboard bold fonts, mbox*) were displayed as grey boxes, and clicking on the box revealed the underlying 'lEX-code.

Despite its sophistication, the current version of Scientific Word lacks some basic features. It will automatically reformat your paragraphs and check your spelling, and, of course, it has all the features (automatic numbering, generation of table of contents, and hyphenation, etc.) provided by J&\'IEX, but it lacks a search-and-replace function, or a go-to command. Also, the current support of tables and equation arrays is clumsy. Search-and-replace and improved support of tables are planned for a future version. The documentation is somewhat sketchy and needs to add a more extensive tutorial.

Both Windows and '.lEX make heavy demands on the computer. Scientific Word is very slow in scrolling through a document, but it is not otherwise significantly slower than the other programs. On a 386/20 computer, paging down through a 9 page (19K) document took 62 seconds with Scientific Word, and 11 and 7 seconds respectively with Leo and ChiWriter. Loading the program and the document took 27, 11, and 25 seconds respectively for the three programs. When printing the document on a LaserJet liP from within Scientific Word, processing the document thro1,1gh 'lEX took 100 seconds, but then the printer ran at close to its rated speed of 4 pages per minute. Printing a similar document with ChiWriter was only a little faster, while draft printing with Leo was actually slower because it required more pages. Most people should find that Scientific Word runs adequately on a 386SX/20 computer, preferably with a laser printer attached.

Summary ChiWriter 4.02 is a very competent and deservedly popular program. If most of what you write needs only to be printed with typewriter (rather than typeset) quality, and you are looking for a scientific word processor that is easy to learn and to use, ChiWriter will be a very good choice.

Leo is a wonderful little program. If you are currently using 'lEX. or if you need to work with 'lEX files, but wish to avoid having to view 'lEX-code, then Leo will be a very good choice.

Scientific Word does an excellent job of combining an intuitive Windows interface with the power of J&\'IEX. As it incorporates more features, and as computers grow faster, it is likely to become the scientific word processor of choice for PC users.

Products Reviewed ChiWriter: Horstmann Software Design, P.O. Box 1807, San Jose, CA 95019-1807; 408-298-0828. (Program $349.95; 'lEX Converter $74.95; academic discount available.)

*Scientific Word replaces mbox with its own text-in-math command.



Leo: ABK Software, 4495 Ottawa Place, Boulder, CO 80303, 303-494-4872. (Program $150; to be used effectively, Leo requires the 'lEX system.)

Scientific Word: TCI Software Research, 1190 Foster Road, Las Cruces, NM 88001, 800-874-2383. (Program $595; academic discount available.)

···················································-------Numbers

Reviewed by Louis D. Grey*

Numbers (Version 2.01) is a collection of software routines for performing number-theoretic calculations that would most likely be encountered in a first course on number theory. The author is lvo Duentsch of the Mathematics Department at the Universitat Osnabrock, Moorlandstr .59,4500 Osnabrock, Germany. The software, which is written in Turbo Pascal5.0, runs on a PC XT or AT and requires 128K of RAM.

The routines are accessed via menu selection and are broken down into the following major categories: (1) Arithmetic, (2) M~dular Functions, (3) Divisors, (4) Fractions, (5) Fibonacci and Lucas Numbers, (6) Encryption and Decryption, (7) Writing to a File, (8) Reading from a File, and (9) Current Parameters.

Once the major category is selected, a submenu appears to show w~at is available. If category (3) Divisors is selected, the followmg submenu would appear:

(0) Previous menu (1) Primality test (2) Find next prime (3) Factor an integer (4) Aliquot sequences (5) Solve a linear equation (6) Pseudoprime test (7) Absolute pseudoprime test (8) Strong pseudoprime test Number theorists will have no difficulty recognizing what

these procedures compute. Procedure 1 determines whether a user-supplied integer is a prime. Procedure 2 gives the smallest prime greater than a given number. Procedure 3 gives the factorization of an integer supplied by the user. Procedure 4 produces an aliquot sequence from a given starting number. An aliquot sequence is formed by taking a starting number, summing its divisors (including 1 but not the number itself) to form the next number, and continuing in this way until a prime is reached. An example of such a sequence is 48, 76, 64, 6~, ~1. Procedure (5) solves a linear Diophantine equation contaimng between two and ten variables. For the reader who may not be familiar with the last three categories, there is a nice discussion in [1].

Normally, each routine when invoked gives a one or two sentence summary of what it does. It then requests its inputs from the user and displays the result.

*Louis D. Grey teaches mathematics at Sacred Heart University in Fairfield Connecticut. '

The routine can then be invoked again if desired or the submenu or main menu can be requested. In this way one can hop, skip, and jump through the routines.

To give the reader an idea of what else can be found, we will briefly summarize what the other routines shown in the main menu compute.

Invoking the procedure called Arithmetic allows the user to do ordinary arithmetic or calculations involving the notion of congruence .

. The Mod functions come primitive roots, nth power restdues, as well as calculations associated with the Chinese Remainder Theorem.

The Fraction option allows the user to compute both continued fractions and Farey fractions.

The Fibonacci sequence computes (1) the nth Fibonacci number; (2) decomposes a given integer into a sum of Fibonacci numbers; (3) computes Lucas numbers which are defined in terms of Fibonacci numbers; (4) converts an ordinary fraction to a continued fraction; (5) converts a continued fraction to an ordinary fraction; (6) calculates the continued fraction approximation of a decimal; and (7) does approximation by Farey fractions.

The option called "Encryption" deals with well-known encryption and decryption algorithms.

In an earlier version, inputs and outputs were not capturable but the author has remedied this to some extent. The "Write To File" option allows the user to write the numbers stored with the F1-F6 function keys to an ASCII file where each number takes one line. For example, if you had saved 1 (F1) 2 (F2) 4 (F3) 8 (F4) 16 (F5) 32 (F6), the text file would contain the following six lines:

1 2 4 8 16 32 The "Read From File" option is the reverse option. Given

an ASCII file of which the first six lines each contain a natural number as a string, these lines are converted into long numbers and put into memory locations where they can be recalled with shift Fn. For example, if the file starts with the lines:

1 2 4 8 16 32

~ou could recall 8 by pressing shift F4 when prompted for mput.

The "Current Parameters" option does the following: (1) Shows the number of primes generated at start-up; the

number in brackets is the largest prime loaded. This array serves as a lookup table for small primes.

(2) The number of seeds used for Rabin' s compositeness test, i.e., if this number is 20, the program checks whether an


." ---------.. ·······-·-····-······- ·················-·······················


input number is a strong pseudoprime to base b, where b runs through the primes.

(3) In finding the iterated sum of aliquot divisors, the user can save the chain (.sequence) to a file. The sequence will be saved to a disk after the number of terms is specified (default=lOO).

(4) This option gives the number of subsequent iterations after which the file is updated (default=S).

(5) This option permits the user to set the starting shift r in the "random" polynomial x+r used in Pollard-Brent factoring (default=1). When x + 1 is not successful, the program tries to find a factor by using x + 2, x + 3, etc.

As far as bugs are concerned, the author points out that the program may lock up when it is run on a machine with a Hercules card. Since neither the author nor the reviewer were able to check this out, potential users with Hercules cards should be aware. The author also points out and the reviewer verified that the cursor keys sometimes behave erratically in the menus. This is only a minor annoyance.

The software was run on a Hyundai Super 386-SE with 2MB of RAM and a 40MB hard disk. Since the software operates in the hand calculator mode and the functions are relatively simple, the response was of the order of a second in most cases.

In the reviewer's opinion, there is nothing here for serious number theorists concerned with the computational aspects of number theory. The software lacks infinite precision arithmetic, functions are not comprehensive enough for research purposes, and the fact that it can only be used in what is essentially a hand calculator mode makes it practically useless for this class of user.

Its use for students in a first course in number theory is another matter. Here, what were its disadvantages may be its virtues. It is very easy to use and hence requires a minimal investment on the part of a student. The factorization routine is very fast and a 38 digit number was factored in about 1 minute and 38 seconds. While no documentation is supplied, very little is necessary since most routines are self-explanatory. The theoretical background can be found in any of the standard texts on elementary number theory which presumably an instructor would use. What the student then gets is the computational capability necessary to reinforce the theory.

The choice of what routines should be included in such a package is to some extent a matter of taste and here the author has indulged his own taste.

This reviewer would have included more arithmetical functions such as the Mobius function, the divisor function, the greatest integer function, and the Legendre function in addition to or in lieu of cryptology. The author claims that he has successfully used the software in a course in Applied Number Theory.

The routines often warn the user about the magnitude of the numbers that can be input, i.e., the Fibonacci computation is limited to the first 100 Fibonacci numbers, and the Lucas numbers which are expressed in terms of the Fibonacci numbers are also limited to index 100. The author often uses

"=" when he means congruent. These are relatively minor mistakes. All of the procedures were exercised at least a few times and no bugs other than those mentioned were readily apparent.

The software can be used without charge for educational purposes (including classroom use) and it can be obtained via anonymous FTP from clione. t2. uni-osnabrueck.de (131.173.128.15) in the directory publlmsdos/math.

References [1] An introduction to the Theory of Numbers-5th Ed., I. Niven, H. Zuckerman, H. Montgomerey, John Wiley, 1991.

4-Dimensional Hypercube & f(z) Reviewed by Tevian Dray*

4-Dimensional Hypercube is a simple program which displays a 2-dimensional cross-section of a 4-dimensional hypercube, and allows you to rotate the image about any "axis", determined by specifying 2 coordinate axes. It is also possible to record and play back any given sequence of rotations. The instructions state "We are confident that you will understand the (program) ... without needing further instructions here", and this is in fact the case. This is a well-designed program which does what it says it does with a minimum of fuss. The PASCAL source for the program is included.

The apparent motivation for writing 4-Dimensional Hypercube seems to have been to use it in producing 4-dimensional graphs in the graphing program j(z). The PC version of f(z) was reviewed by Marvin Margolis in the July/August 1989 issue of the Notices. I basically agree with that review in concluding that this is a very good program for displaying complex graphics, especially if ease of use without prior preparation is important. However, the 4-dimensional capability was not mentioned there and is presumably new. I will therefore restrict my discussion to this feature.

f(z) allows one to display the domain and range of a complex function w = f(z), each of which is (part of) a complex plane, in separate windows, and then analyze the mapping between them by, e.g., drawing circles or linear grids in the domain and studying their images in the range. The 4-dimensional feature allows one to create a separate window that contains a 2-dimensional projection of the full graph of the function in a 4-dimensional space (2 complex dimensions) whose complex coordinates are (z, w). One can then rotate the graph about any "axis", and it is also possible to record and play back sequences of such rotations.

I enjoyed playing with this part of the program, which is again easy to use. My only complaints are relatively minor.

*Tevian Dray is an Associate Professor of Mathematics at Oregon State University. He is an expert on the uses of algebraic computing in the field of general relativity. His current research involves classifying spacetimes based on their symmetry groups using the symbolic manipulation package SHEEP, which is particularly good at manipulating tensors.


----·-·-------·-·---·--------·--------------------Computers and Mathematics

First of all, there is no easy way to go back to the beginning to try a new sequence of rotations without exiting the 4-d feature and starting it again. Furthermore, unlike 4-Dimensional Hypercube, there is no way to resume recording after having stopped. (In fact, on one occasion I accidentally hit the Record button instead of the Playback button-and destroyed my recording completely.) Much more serious is that all 4-d rotations in both programs are performed using dialog boxes. This means, for instance, that it is impossible in f(z) to resize the window that is being rotated without exiting-and losing-the rotations, nor is it possible to print the result, even using a screen dump.

One possible use for this aspect of f(z), described in the cover letter accompanying my demonstration copy, is to try to visualize simple Riemann surfaces. The theory herewhich I enjoyed having the opportunity to think about from this point of view-is basically that the information in the Riemann surface associated with y'Z is already contained in the 4-d graph of z = w2, so that by suitably rotating this graph one can gain some understanding about the structure of the Riemann surface. This is of course an experimental science: It is necessary to guess at an appropriate foliation of the domain and sequence of rotations to produce a useful picture. Furthermore, this method will only work for simple functions such as nth roots. A more complicated function, such as z = vw2 - 1, can not be analyzed using f(z), primarily because the inverse function also contains a square root. This problem could be surmounted if it were possible to superimpose two (4-d) graphs using f(z), so that the "positive" and "negative" square roots could be displayed together; I was unable to find a way to do this.

4-Dimensional Hypercube ($24.95) and f(z) ($79.95) are both distributed by Lascaux Graphics, 3220 Steuben Ave., Bronx, NY 10467 ((212) 654-7429). I ran them on a Mac SE, but Lascaux Graphics claims they will run on any Mac; a separate Mac IT version of f(z) is included as well. (My version of f(z) also included something called j(z)-Mandelbrot, but when I tried to run this program, my SE crashed.)

Announcements

Using Workshops to Teach lEX P. T. Church

At Syracuse University, our 1.}3X typist Anne Wildman and I have given workshops to teach the basics of ~-1.}3X to mathematics faculty and advanced graduate students. Individuals who had postponed learning 1.}3X were encouraged by the existence of workshops to try it, and many were quickly able to use it for memos, classroom tests, and research papers. Such use of workshops seems to be rare, and this brief report describes our experience and offers, by anonymous ftp, two handouts (I and IT) we use at our workshops.

We use five computers (Macintosh ITci on movable carts) in our seminar room, with one or two participants at a computer-two people can help one another, especially in the early stages. There are two handouts at the first workshop: one on how to use the particular 1.}3X software and computer (in our case, Textures on the Macintosh); the other (I) teaches ~-1.}3X input code for various mathematical expressions. The latter has seven short sets of exercises, each preceded by several examples. The explanation is sparse, and the participant is thereby encouraged to look for the patterns in 1.}3X. Since immediate help is present, this works-the first part of I is not so suitable for individual study. Most participants do not quite finish I in one session of an hour and twenty minutes, but either finish on their own or within the next session.

Workshop handout IT also has a series of exercises, with culminations: setting a sample freshman quiz and setting a one page "research paper". [Our version at Syracuse also includes an exercise on setting a mathematical review for electronic transmission, but this depends on our particular software and our installation of the review files.] After two sessions on II, most people are working on their own things. We ask participants to classify themselves as starting I, partly through I, starting IT, or partly through IT, and we pair them accordingly, so that a group of mixed levels works well. Advanced graduate students, thinking ahead toward their dissertations, are especially enthusiastic. ·

The ~-1.}3X input code for these workshop handouts I and IT may be obtained by anonymous ftp from the internet address

syr.edu

(a unix computer) in the directory

/math/papers

You may reach the author at: ptchurch@suv'm.acs.syr.edu. __ , __ , ____ ., .................... _ ......... ._ _______ ............. ., ____ ,.,,_,_,, ___ , __

ODE Keith Briggs

ODE (Version 2.5) was reviewed in this column in January (Notices 39 (1), pp. 14-16). The program's developer, Keith Briggs, has sent in the following information concerning the availability by ftp of a free version 2.6.

ODE is an IBM PC interactive simulator for systems of ordinary differential or difference equations, intended for educational use or small research problems. It assumes basic undergraduate knowledge of mathematics, but has been used at the high school level. It is especially useful for demonstrating chaotic systems. A public domain version is available free.

Features of full version 2.6: Easy-to-use menus with mouse support. Built-in text editor. Equations entered in natural notation, stored in ASCIT

files.


·······························- ······································-·-·····-····-···-··--·-···-·-·-····-·······-···--·-·--····----·----------------------r-------


Up to 18 coupled ODEs. Automatic plotting of solution (CGA,EGA,VGA).

Now get the file to your PC with ftp or kermit (binary again!), to a clean directory ODE. Then

:u\1FX and postscript output of graphs for publication-quality graphics.

Output of solution to file. Several different ode algorithms, up to 6th order. Many example files included, including chaotic. Printed manual with tutorial and reference section.

C:\ODE>pkunzip ode26 C:\DDE>more <readme C:\ODE>ode

A few features are lacking in the public domain version.

To get public domain version 2.6

After trying it, please mail your comments and suggestions! And give ode26.zip to your friends.

(The site simtel-20 has an earlier version in

Format: zip archive. USE BINARY MODE TRANSFER PD1 :<MSDOS.EDUCATION>ODE25.ZIP.)

To get full version 2.6

Anonymous ftp to wuarchive.wustl.edu (edu/math/msdos/diff.equations)

Sample Unix session: % ftp wuarchive.wustl.edu ftp> anonymous ftp> <your username>

Email: [email protected] Mail: Keith Briggs, Department of Mathematics, University of Melbourne, Parkville 3052, Australia.

ftp> cd edu/math/msdos/diff.equations ftp> bin

or POBox 75 Heidelberg West Australia 3081

ftp> get ode26.zip ftp> quit

Journal of the American Mathematical Society

When the Journal of the American Mathematical Society first appeared in 1988, it gained instant respect for its careful selection of relevant, important, and timely research. The editors are devoted to publishing research articles of the highest quality in all areas of pure and applied mathematics. Editors of this journal include: H. Blaine Lawson, Jr., Robert D. MacPherson, Richard Melrose, Andrew Odlyzko, and Wilfried Schmid.

1993 Subscription Prices List $144*, Institutional member $l15*, Individual member $86* (ISSN 0894-0347) Back volumes are also available. Call AMS Customer Services for prices.

*Add for postage: Surface delivery to destinations outside the U.S. and India- $8; to India- $18. Expedited delivery to destinations in North America- $13; elsewhere- $36. A 10% late charge applies. All prices subject to change. Prepayment required. Order from: American Mathematical Society, P.O. Box 1571, Annex Station, Providence, RI 02901-1571, or call toll free 800-321-4AMS in the U.S. and Canada to charge with VISA or MasterCard. Canada residents, please include 7% GST.


Inside the AMS

Committee to Review Member Publications

The Society produces a number of publications whose primary purpose is service to the members, in contrast to dissemination of research mathematics. How well are these publications serving the membership? Are there important topics, viewpoints, or information not addressed by existing member publications? Do these publications make financial sense in today's climate of academic library cutbacks? What are the pros and cons of using electronic communications to get information to the membership? The Committee on Member Publications was formed to address such issues and to make specific recommendations about how the current menu of member publications can be restructured to better serve the needs of the membership.

These issues have come up repeatedly in recent years as the Society has expanded and evolved while trying to adjust to a changing environment in mathematics and publishing. ''The Committee is born out of a decade of head-scratching about what to do about the shift in the way publications are being funded, and how the Society will deal with that," says Committee chair Hugo Rossi of the University of Utah. "In addition, there is a need to take a good look at how the AMS can best serve its membership with its publications."

The publications the Committee will consider are the Notices, the Bulletin, Abstracts, and Employment Information in the Mathematical Sciences (ElMS), as well as the electronic data service e-MATH. Notices and the Bulletin are sent to all members free as part of Society membership, while the other publications are available by subscription (though, for certain membership categories, there is no charge); e-MATH is available free of charge to those who have access to national electronic networks.

One of the reasons the Committee was formed is that a number of individuals, including Society officers and various committee members, have suggested changes in the policies and content of the Notices, the Bulletin, and Abstracts. Many have commented that the Notices has become newsier and more interesting in recent years, and this trend should be continued; in addition, some have said that reader interest (rather than tradition or the bylaws) should be the deciding factor in the content and should provide a forum for timely discussion of a broad range of issues facing the community.

Some say that the Bulletin has become too technical and does not fulfill its purpose of communication of recent progress in mathematical research for all mathematicians. And finally, it seems clear that many readers no longer find Abstracts useful, except perhaps as a guide to the talks at meetings. The future of e-MATH enters the picture because of the rapid increase in availability of electronic communication. In addition, there have been proposals that the Bulletin and Abstracts be made into online journals available one-MATH and that the meetings announcements should be removed from the Notices and put on e-MATH. ElMS is currently available on e-MATH, so its future as a printed publication has become unclear.

Rossi notes that a member survey conducted in 1987 "shows clearly that people belong to the AMS because they want access to information on developments in contemporary mathematics, whether or not they are actively engaged in it". However, he says, ''There is a feeling that they are not getting that information if they are not actively engaged in research." For this reason, he says, the Committee will be especially concerned with considering ways to provide highquality, timely expositions of developments in and uses of contemporary mathematics.

The Society, through its strategic planning efforts, is rethinking and restructuring many of its current activities. It is therefore important that member publications evolve along with the Society's objectives. To this end, the Committee will evaluate how effectively member publications contribute toward the goals set forth in the strategic plan. In conjunction with the strategic planning activities, the Society has recently undertaken a fairly thorough financial review of many of its activities. Member publications and e-MATH constitute a major expense for the Society, and it is important that they provide valuable and cost-effective services to the membership. The Committee will provide recommendations on member publications with attention to the associated financial aspects.

The Committee will also try to chart a course for member publications in the changing waters of academic and research publishing. "The whole publishing industry is changing radically," says Rossi. "Universities are dropping publications that are not of direct interest to their faculty at the rate of about 10-15% a year. This has a big impact on research-level pub-


-~·~--------·----·······-···•·········· Inside the AMS

lications. That, together with the development of electronic communications, really gives the whole industry, particularly the AMS because publishing is such a big part of its business, a real need to take a hard look at where things are going in a decade or so."

In conducting its review and making recommendations, the Committee is not bound by the current format, content, or scope of these publications. They are free to suggest changes of any kind, even to propose cessation of publication, merging of a number of the publications, or the establishment of new publications.

The first meeting of the Committee took place on September 9, 1992. A preliminary report will be completed in time for the November 1992 meeting of the Executive Committee ~d Board of Trustees, and the Committee will meet again m December 1992. At the Joint Mathematics Meetings in San Antonio in January 1993, the Committee will conduct one or more focus groups with AMS members to encourage open discussion of the Committee's work and preliminary recommendations. Further meetings and discussions will take place in the spring of 1993, culminating in a final report in May 1993.

During the entire process, suggestions, comments, and ideas from the membership will be crucial to the Committee's work. These may be sent to: Ann M. Renauer, Assistant to the Executive Director for Planning, 401-455-4112, [email protected]. Renauer, who served as a facilitator for the Society's strategic planning process, will be providing staff support to the Committee. Comments may also be directed to any member of the Committee.

Committee to Review Member Publications Michael Artin, AMS President, MIT Sheldon Axler, Michigan State University John Ewing, University of Indiana, Bloomington Robert Fossum, AMS Secretary, University of lllinois at

Urbana-Champaign John Franks, Northwestern University Ronald L. Graham, AMS President-Elect (ex officio), AT&T

Bell Laboratories Judy Green, Marymount University William Jaco, AMS Executive Director Haynes Miller, MIT Richard Palais, Brandeis University John Polking, Rice University Hugo Rossi (Chair), University of Utah Carol Wood, Wesleyan University

Consultants to the Committee John S. Bradley, AMS Associate Executive Director Hope Daly, AMS Director of Meetings Samuel Rankin, AMS Associate Executive Director Ann M. Renauer, Assistant to the Executive Director for

Planning William Woolf, AMS Associate Executive Director

Allyn Jackson Staff Writer

Summer Research Conferences Martin Golubitsky

Chair, SRC Selection Committee University of Houston

Each fall the AMS, the Institute of Mathematical Statistics (IMS), and the Society for Industrial and Applied Mathematics (SIAM) invite mathematicians, statisticians, and applied mathematicians to apply for funding for Summer Research Conferences (SRCs) to be held 20 months later. Each winter, despite a choice of fine applications, the Selection Committee wonders to what extent this invitation has been received. As retiring Chair of the SRC Selection Committee, I want to call this opportunity to the attention of each member of the supporting Societies.

Typically, SRCs run for one week and are attended by 40 to 60 participants. Conference topics tend to be narrowly focused on subjects of current interest. In the past, some preference has been given to proposals that will appeal to groups of researchers who are usually not in direct communication. The SRCs are sometimes confused with Regional Conferences, which have one main speaker and some seminars, but they are quite different. Although the exact format is up to individual organizers, SRCs have many principal speakers and appeal to mathematicians at various stages of their careers.

The SRCs are funded largely by a multiple-year grant to the AMS by the National Science Foundation. In the recent past, funding for participant travel has been about $20,000 per conference, the exact amount depending on the year. The site is chosen by the AMS and recently has been in the Northeast and the Northwest in alternate years. As with all conferences run by the AMS, the organizers are responsible only for the scientific program and the allocation of travel money; all other details are handled by the AMS and the host institution.

The Selection Committee usually has ten members. The collective interests of the members cover a broad area, and in my experience the members have always been open to new ideas. The primary criterion for acceptance is the expected benefit to mathematics and to the proposed fields. Naturally, a conference in a recognized important area, with eminent researchers as organizers, would score well under this criterion; but the Selection Committee is open to other notions of what kinds of conferences would be good for mathematics. One consideration is whether an SRC is the best vehicle for a proposed conference; another is whether the proposed conference is in an area that has recently had a large number of conferences.

Proposals are made using a brief form available from Carole Kohanski at the AMS ([email protected]). Typically, an organizing committee consists of two to six members, with a chair or two co-chairs, each of whom have agreed to serve. If the viability of the conference depends on the attendance of some key people, it is expected that the organizers will have contacted these people and determined that they have agreed to attend. The narrative part of the proposal should be written for mathematicians and should orient the reader to the field emphasizing why the proposed conference is needed and wh;


.......... -·~---·----~----------llllllllr----· .. ··-···------------·--

Inside the AMS

the conference will be timely. The Selection Committee takes seriously and supports

efforts to increase the percentage of women and minorities in leadership roles in mathematics. The Committee expects to see evidence in proposals that qualified women and minorities are to be principal speakers, to the extent that such people are available.

In my view, the SRC program represents an excellent use of research dollars. I encourage all research mathematicians to examine the need for a specialized conference in their own area and, if it seems appropriate, to get together with a group of people and make an application. Questions about the mechanics of applying can be addressed to Ms. Kohanski; questions about the formulation of a proposal can be addressed to any member of the Selection Committee. The deadline for submission of a topic for a 1994 conference is February 1, 1993. (See Call for Topics in the Meetings and Conferences of the AMS section of this issue of the Notices.)

Editor's Note: Current members of the SRC Selection Committee are: Fan R. K. Chung, Bellcore; Leonard Evens, Northwestern University; Alan F. Karr, Johns Hopkins University; Peter W. K. Li, University of California, Irvine; Stewart B. Priddy, Northwestern University; Robert J. Serfling, Johns Hopkins University; Michael Shub, IDM, and Sue Whitesides, McGill University. Additional appointments are still to be made.

AMS Electronic Mall Addresses When the AMS first connected to the Internet, a number of non-user-specific electronic addresses were established to contact the AMS staff. The following is an updated list of those addresses together with a description of the types of inquiries that should be made through each address. Please note that the addresses for the AMS have changed from ®MATH.AMS.COM to ®MATH.AMS.ORG. For example, the address NOTICES®MATH.AMS.COM is now NOTICES®MATH.AMS.ORG.

If you communicate electronically with individuals at the Society, you should note that user-specific addresses have also changed to reflect the above address change.

AMS®MATH.AMS.ORG to contact the administrative offices in Providence. (This address has been changed from EXDIR®MATH.AMS.COM.)

AMSDC®MATH.AMS.ORG to contact the Society's office in Washington, DC.

MEET®MATH.AMS.ORG to send requests for general information about Society meetings and conferences and for submission of electronic preregistration for the annual and summer meetings.

AMSMEM®MATH.AMS.ORG to request information about membership in the AMS, about dues payments, or to ask a'ny general membership questions; may also be used to submit address changes.

CUST-SERV®MATH.AMS.ORG to send address changes, place credit card orders for AMS products, or conduct any general correspondence with the Society's Customer Services Department.

NOTICES®MATH.AMS.ORG to send correspondence to the Managing Editor of the Notices, including letters to the editor, contributed articles, and information for the meetings and conferences listing.

SECRETARY®MATH.AMS.ORG to communicate with the Secretary of the Society.

SUPPORT®e-MATH.AMS.ORG for information or for assistance in accessing and using e-MATH (the Society's new bulletin board) services.

MATHREV®MATH.AMS.ORG to submit reviews to Mathematical Reviews and to send related correspondence.

MATHDOC®MATH.AMS.ORG for users of Current Mathematical Publications, MR, and MathSci who wish to order a copy of an original item from the MathDoc document delivery system.

MATHSCI®MATH.AMS.ORG for information or questions regarding MathSci. If requesting an information package for MathSci or the 'lEX Library, please include a complete mailing address.

TRANSL®MATH.AMS.ORG for general correspondence with the Translations Department.

GUIDE-ELEC®MATH.AMS.ORG to request a copy of the Society's Guidelines for Preparing Electronic Manuscripts. Please specify .ANP"-'IEX or AM$-Jt\'IEX version.

[email protected]* to request the AM$-'lEX macro package and documentation.

AMS-LATEX®MATH.AMS.ORG* to request the AM5-Jt\1BX macro package and documentation.

ABS-REQUEST®MATH.AMS.ORG* to request 'lEX style files for submission of abstracts for AMS meetings and for MAA programs at January and August Joint Mathematics Meetings.

ABS-SUBMIT®MATH.AMS.ORG to submit abstracts for AMS meetings and for MAA programs at January and August Joint Mathematics Meetings.

ABS-MISC®MATH.AMS.ORG for questions regarding a particular abstract.

*These packages are available via anonymous FTP from e-MATH.ams.org or on diskette. When requesting diskettes, please specify either IDM or Macintosh format and give a complete mailing address.


Inside the AMS

[email protected] [email protected] to submit accepted manuscripts to AMS publications (other to contact the Society's Typesetting Technical Support group. than Abstracts).

[email protected] to send correspondence to the AMS Publication Division.

"This fascinating book is not of math, but of men."

Operations Analysis in. the U.s. Art4Y EiP,th Air Force in. world War 11

()harlee w. )olcArth1U

Operations Analysis in the United States Army Eighth Air Force in World War II Charles W. McArthur

"His straightforward narrative lets the story tell itself and the chips fall where they may. The individual accounts let us hear the voices of the characters. Tragic anecdotes emerge. Personality conflicts over strategy resulted in lost lives. Errors in judgement are made. Politics sometimes prevailed over strategy. Inspirational stories are there too, of those whose contribution to the war was their intelligence, honesty and perseverance. Good ideas did not become strategy by themselves .... This fascinating book is not of math, but of men."

-Jerome Stem, Tallahassee Democrat

Published jointly with the London Mathematical Society, McArthur's book offers a careful, readable study of an important slice of history on both World War II and operations analysisone you won't find anywhere else.

1991 Mathematics Subject Classification: 01 ISBN 0-8218-0158-9, 349 pages (hardcover), November 1990 Indiv. mem. $50, List $84, lnst. mem. $67 Your ordering code is HMATH/4NA

All prices subject to change. Free shipment by surface; for air delivery, please add $6.50 per title. Prepayment required. Order from: American Mathematical Society, P.O. Box 1571, Annex Station, Providence, RI 02901-1571, or call toll free 800-321-4AMS in the continental U.S. and Canada to charge with VISA or MasterCard. Canada residents, please include 7% GST.


News and Announcements

Antoni Zygmund 190D-1992

Professor Antoni Zygmund was born in Warsaw, Poland, on December 26, 1900, the son of Wincenty Zygmund and Antonina Perkowska Zygmund. After elementary school he entered high school (gymnasium) at the age of twelve. His early interests were in science, especially in astronomy, and he planned to become an astronomer.

At the outbreak of the First World War his family was evacuated to Poltava in the Ukraine, where they remained until autumn of 1918 before returning to (by then) independent Poland. In 1919 Zygmund entered the University of Warsaw, which had become Polish in 1915. The University was in its initial stages of development and the teaching of astronomy was still being organized. This situation and the interest in mathematics he had developed through independent study of astronomy, pushed him towards pure mathematics.

At that time, there had emerged in Poland a group of talented young mathematicians which exerted a powerful attraction on students. They were to develop what was later known as the Polish Mathematical School. Prominent among these young mathematicians were Waclaw Sierpinski, Stefan Mazurkiewicz, and Zygmunt Janiszewski. They founded a new mathematical periodical, Fundamenta Mathematicae, devoted mainly to the theory of sets and related topics, which was to have a great influence in the subsequent development of mathematics in Poland. Zygmund was caught up in all this mathematical fervor and was influenced by two of his older schoolmates, namely, Stanislaw Saks and Zygmunt

848

Zalcwasser. Saks was to play a very important role in the development of analysis in Poland. His primary interest was real variables, mainly differentiability and integrability of functions. His Theory of the Integral, first published in French in 1933, is a classic on the subject, and his Analytic Functions, written together with Zygmund, is still considered one of the best books on the subject. Alexander Rajchman, then an instructor and docent at the University of Warsaw, had made important contributions to the theory of formal multiplication and uniqueness of trigonometric series, and Zygmund became particularly interested in problems in this area. One may thus say that Zygmund was primarily a disciple of Saks and Rajchman.

Zygmund obtained his doctorate in 1923. A year earlier he had been appointed instructor at the Polytechnical School in Warsaw, a position he kept until his departure to Wilno (Vilnius) in 1930. In 1926 he was appointed docent at the University of Warsaw and was awarded a Rockefeller Fellowship to spend a year in England, with Hardy at Oxford and Littlewood at Cambridge. Unexpectedly, he encountered there one more mathematician who influenced him very deeply: R.E.A.C. Paley, a student of Littlewood, with whom Zygmund maintained a very fruitful collaboration until Paley's early accidental death in 1933, a severe blow to Zygmund, personally and professionally.

After his return from England, in 1930, Zygmund was appointed professor at the University of Wilno. There he encountered Jozef Marcinkiewicz, who first became his student, and then


his collaborator. Marcinkiewicz, whose name is familiar to anyone interested in functional analysis and Fourier series, was an extraordinary mathematician. His collaboration with Zygmund lasted almost ten years and produced a number of important results.

At the outbreak of the Second World War in 1939, bothZygmundandMarcinkiewicz were mobilized as reserve officers in the Polish Army. Marcinkiewicz was taken prisoner in the East and disappeared without trace, most likely executed in captivity. Zygmund succeeded in returning to Wilno to his wife and son. Through the help of friends, mainly Professors Jakob Tarnarkin and Jerzy Neyman, he managed to leave Poland and find his way to the United States, where he arrived early in 1940. The specter of impending mobilization and war diminished the need for university teachers and made jobs difficult to obtain. Nevertheless, Zygmund received an appointment as professor at Mount Holyoke College in Massachusetts.

In 1945 Zygmund moved to the University of Pennsylvania in Philadelphia. Two years later, he was invited by Professor Marshall Stone to join the mathematics department of the University of Chicago. Professor Stone had managed to gather a most impressive group of outstanding mathematicians there, A. A. Albert, S. S. Chern, L. M. Graves, S. Mac Lane, A. Weil, P. Halmos, I. Kaplansky, I. Segal, and E. Spanier, among them. Zygmund went to the University of Chicago and remained there until he retired in 1980 as the Gustavus and Anne Swift Distinguished Service Professor of Mathematics.

At Chicago, Professor Zygmund had a large following, and many students, among them, for example, Mischa CotJar, E. Fabes, B. Muckenhoupt, Guido and Mary Weiss, R. L. Wheeden, and the undersigned. He developed there what has come to be known as the Chicago School of Analysis. Through his work, his views on mathematics, his teaching, and his students, with many of whom he collaborated, he has had a profound influence on present day mathematics and the cultivation in the United States, Europe, and South America, of the areas he was interested in. Examples of subjects that have been deeply influenced by him, directly or indirectly, are: real variables, harmonic analysis, Lie groups, concrete operator theory, and partial differential equations. His earliest work was mainly on one-dimensional Fourier analysis and his achievements there culminated in his classical treaty "Trigonometric Series". But later he also made fundamental contributions to n-dimensional analysis. Among the most noteworthy of these are his work on differentiation of integrals, and the development and application of the theory of singular integrals.

Professor Zygmund has been awarded many honors. He had honorary degrees from Washington University, the University of ToiUil. in Poland, the University of Paris, and the University of Uppsala in Sweden. He was a member of the National Academy of Sciences of the U.S.A., the Polish Academy of Sciences, the National Academy of Sciences of Buenos Aires, Argentina, the Royal Academy of Sciences of Madrid, and the National Academy of Sciences of Palermo. He was awarded the National Medal of Science of the United States in 1986.

Professor Zygmund passed away on May 30, 1992.

A. P. Calderon, University of Chicago

E. M. Stein, Princeton University

Mushtaq Receives Khowarzmi Prize

The fifth Khowarzmi Award, sponsored by the Iranian Research Orgnanization for Science and Technology, has been presented to QAISER MUSHTAQ


of Quaid-i-Azam University in Islamabad, Pakistan. The President of Iran presented Professor Mushtaq with the award to honor his outstanding contributions to combinatorial group theory, LA-semigroup theory, and history of mathematics. Three hundred sixty-one scientists from nineteen regional countries competed for the prize.

Professor Mushtaq received his doctorate at Oxford University, where he was a student of G. Higman. He was an overseas scholar of the Royal Commission for the Exhibition of 1851 and a Fulbright scholar at the Massachusetts Institute of Technology. He has received several other prizes, including the Salam Prize, the Gold Medal of the Pakistan Academy of Sciences, the Chowla Medal, the Gold Medal of Honour, and Mathematician of the Year (1987). In 1991, Professor Mushtaq was elected an associate member of the International Center for Theoretical Physics in Trieste, Italy.

Faculty Fellows Announced President Bush has named fifteen scientists and fifteen engineers as the first recipients of the Presidential Faculty Fellow Awards. These awards provide recognition and support for young faculty who demonstrate excellence and promise in research and teaching. Each award carries a grant from the National Science Foundation (NSF) of $100,000 per year for five years.

In addition, the NSF has selected 202 scientists and engineers at U.S. colleges and universities to receive 1992 NSF Young Investigator Awards. The awards are intended to enhance the research and teaching careers of outstanding beginning faculty and to foster cooperation between academia and industry. Each investigator may receive a maximum of $100,000 per year for five years through a combination of federal and private funds. NSF provides up to $62,500 annually for each awardee.

These two fellowship programs were inaugurated in September 1991. The Young Investigator Awards program replaced the NSF's Presidential Young Investigator Awards program that operated from 1984 to 1991.


There were three Presidential Faculty Fellows in the mathematical sciences. Their names, affiliations, and areas of research follow: CARLOS CASTILLO-CHAVEZ, Cornell University, ecology and mathematics; JOSE FERNANDO EscoBAR, Indiana University, Bloomington, mathematics; and LANCE JEREMY FoRTNOW, University of Chicago, computer science.

Among the NSF Young Investigator awardees were eight in the mathematical sciences. Their names, affiliations, and areas of research follow: ALEJANDRO ADEM, University of Wisconsin, topology and foundations; KEITH M. BALL, Texas A&M University, modem analysis; STEVEN J. Cox, Rice University, applied mathematics; DIANE M. HENDERSON, Pennsylvania State Univ~rsity, applied mathematics; RAFE R. MAZZEO, Stanford University, geometric analysis; ALANM.NADEL, UniversityofChicago, geometric analysis; PETER PETERSEN, University of California at Los Angeles, geometric analysis; KATHRYN M. RoEDER, Yale University, probability and statistics; JoHN A. STRAIN, Princeton University, applied mathematics; and BERND STURMFELS, Cornell University, algebra and number theory.

Reissner Elected Honorary Member of GAMM

Eruc REISSNER, professor emeritus of applied mechanics and engineering science at the University of California at San Diego, has been elected Honorary Member of the Gesellschaft fiir Angewandte Mathematik und Mechanik (GAMM). He was conferred this honor "in recognition of exceptional accomplishments in applied mathematics and mechanics". This is the seventh such election, with the first being that of Felix Klein in 1924, and the sixth that of Lothar Collatz in 1980.

U.S. Team Places Second in International Olympiad

A team of six American high school students placed second in the 33rd International Mathematical Olympiad (IMO), held July 14-20, 1992 in Moscow. This was the United States' best finish since

849

its tie for first place with the Soviets in 1986. China had the top-scoring team this year, with Romania third, the Commonwealth of Independent States fourth, and the United Kingdom fifth. Altogether there were 350 participants from fifty-two countries.

U.S. team members KlRAN KEDLAYA of Silver Spring, Maryland, RoBERT KLEINBERG of Wales Center, New York, and LENHARD NG of Chapel Hill, North Carolina, received gold medals in the competition. The other three team members won second-prize silver medals: WEI-HWA HUANG of North Potomac, Maryland, SERGEY LEVIN of Providence, Rhode Island, and ANDREW ScHULTZ of Evanston, lllinois.

"These six prodigies deserve the praise and recognition of the entire U.S. mathematical community," notes Daniel Ullman of George Washington University, deputy leader of the U.S. team. "They are a particularly nice group of guys, well-rounded, broadly educated; several are outstanding musicians, and several are outstanding athletes. And they all devour Olympiad problems with cleverness and creativity." Accompanying the team to Moscow were Ullman, U.S. team leader Cecil Rousseau of Memphis State University, and Walter E. Mientka of the University of Nebraska, who serves as executive director of the American Mathematics Competitions. In addition, Ullman, Rousseau, and Anne Hudson of Armstrong State College conducted a month-long training session for the team at the U.S. Naval Academy this summer.

The IMO was begun in 1959, and the U.S. has been sending teams to compete since 1974. The team selection process begins with a sequence of three examinations prepared by the Committee on the American Mathematics Competitions. The first, the American High School Examination, is taken by nearly 400,000 students, and the second, the American Invitational Mathematics Examination, is taken by about 4,000 students. About 140 students take the USA Mathematical Olympiad (USAMO), which is an essay-proof examination requiring insight and ingenuity. The· top scorers on the USAMO are honored in ceremonies held in Washington, DC at the

850


National Academy of Sciences and the Department of State; this year's ceremonies took place on June 7-8, 1992 (see photo). Those students and eighteen others who also did well on the USAMO participate in the summer training session (one exception was USAMO winner Michael Sunitsky, who declined to participate; shown also in the photo is Akira Negi, who was this year's IMO team alternate).

Top scorers of the USAMO (withAMS Executive Director William Jaco) from left to right (back row): Lenhard Ng, Akira Negi, Wei-Hwa Huang, Kiran Kedlaya; (front row) Andrew Schultz, Robert Kleinberg, Jaco, Michael Sunitsky, and Sei'gey Levin.

Here is one of the problems from this year's IMO: consider nine points in space, no four of which are coplanar. Each pair of points is joined by an edge (that is, a line segment) and each edge is either colored blue or red or left uncolored. Find the smallest value of n such that whenever exactly n edges are colored the set of colored edges necessarily contains a triangle, all of whose edges have the same color.

Ullman stresses that the main focus of the IMO is mathematics and cultural exchange. "It is important to point out that the IMO is a celebration of mathematical talent more than a competition for mathematical supremacy," he says. "We play this game hard and we play to win, but the real impact of the IMO has little to do with winning and losing and team scores. What is most important is fostering mathematical talent, encouraging mathematical achievement, and unifying the mathematical world. I feel that the IMO is successful in this effort."


Shafarevich Responds to Academy Letter

In a press release dated August 20, 1993, the National Academy of Sciences (NAS) made public a translation of a letter from I. R. Shafarevich to NAS President Frank Press and NAS Foreign Secretary James B. Wyngaarden. Shafarevich's letter comes in response to the July 16, 1992, letter sent by Press and Wyngaarden to Shafarevich (see the Notices, September 1992, page 719 for the text of the July 16letter). What follows is Shafarevich's letter, translated by Inga Sedlovsky of the NAS Office for Central Europe and Eurasia. (The material in brackets appears in the NAS translation and was not inserted by the Notices.)

"National Academy of Sciences, USA President Frank Press Foreign Secretary James B. Wyngaarden

"Mr. President Press! "Mr. Foreign Secretary Wyngaarden!

''This letter is a reply to your letter of July 16, 1992, regarding my work Russophobia. I do not know how you could have found positions in this work which do not exist there. This work contains criticism of [1] a certain literary [lit. 'publicist'] trend, in which strong Jewish nationalist emotions are combined with equally strong anti-Russian emotions, as well as [2] criticism of radical Jewish groups which actively participated in the Revolution. Moreover, detailed arguments are presented which show that these trends do not coincide with the whole Jewish nation. In particular, authors of the Jewish extraction who also criticize these trends are quoted. Therefore, my work can be considered anti -semitic in the same way that criticisms of Russian communism can be considered anti-Russian. I would never allow myself to make a statement that a whole nation or a country is an 'Evil Empire'.

"Further, you write: 'We were informed that ... ' Do you really feel that it is appropriate to discuss such anonymous accusations? You charge me with the responsibility for the staffing of the Mathematical Institute of the Russian Academy of Sciences, where I am the head of the Algebra Department-which

is actually comical, since for many years I was barely tolerated in this Institute. My department only fired people, but never hired anyone. If you still feel it is appropriate to continue your research, then I suggest you refer to the materials of the International Colloquium on Anti-Semitism (Paris, March 1979), [specifically] the report of L. Shwartz 'On the Position in Soviet Mathematics'. He feels that the reaction in the country [Soviet Union] regarding this situation is passive 'with the exception of a meager minority of such people as Sakharov, Shafarevich, and the physicist Orlov'.

"Finally, you pose a question regarding my membership in the National Academy. In the worst of times in our country my membership in the Soviet Academy of Sciences was not questioned, in spite of my book, which contained radical criticism of socialism and communism, and which was published in the West. Sakharov's membership, even during his exile, was also never questioned. By suggesting that I personally resign my membership from the Academy, you are in this way asking me to agree with your accusations, which I find absurd and scandalous. I never asked to be elected as a foreign member of the National Academy (although I was happy to be honored in this way). Therefore, I feel that the question of my continued membership in the National Academy is the Academy's· own problem.

"P.S. On your letter it stated: 'personal and confidential' -and as a result I refused to make comments to the press. However, I later found out that simultaneously you informed the press of the content of your letter as well as your commentaries. Therefore, I now feel that I am no longer obligated to treat our correspondence as confidential.

"Sincerely yours,

[signature] I. R. Shafarevich

"Moscow, August 4, 1992

"117966 Moscow, Vavilov Street 42, Mathematical Institute of the Russian Academy of Sciences."

According to the NAS press release, the NAS bylaws contain no provision for

m:MIIILIIIIIIIII I IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIILIIILLIIILLIIILII'"_ .... _ ............... - .... _ ....... ____ ·~--------------·-~----·-~---~· .. ..


requiring a member or foreign associate to resign. Since Shafarevich has declined to do so voluntarily, he will remain a foreign associate. The press release also quoted Press as saying: "Everyone is entitled to hold unpopular views, but not to use a position of influence to interfere with the rights of others. We would be pleased if he would resign but cannot force him to do so."

A translation of Russophobia, prepared by the Joint Publication Research Service (JPRS) of the Department of Commerce, is available in most university libraries and at the Library of Congress. The citation for the translation is JPRS-UPA-90-015. Please note that JPRS does not sell copies of Russophobia.

Staff at the NSF's Division of Mathematical Sciences

Listed below are the Program Directors for the coming academic year in the Division of Mathematical Sciences (DMS) of the National Science Foundation (NSF).

Classical Analysis John V. Ryff 202-357-3455

Modem Analysis Joe Jenkins 202-357-3697

Geometric Analysis James Glazebrook 202-357-3451

Topology and Foundations Ralph M. Krause 202-357-3457

Algebra and Number Theory Ann K. Boyle William Y. Velez 202-357-3695

Applied Mathematics Rouben Rostarnian Michael Steuerwalt 202-357-3686

Computational Mathematics Michael Steuerwalt Alvin Thaler 202-357-3691

Statistics and Probability Keith Crank Alan J. Izenman 202-357-3693


Office of Special Projects Bernard R. McDonald (Head) Deborah F. Lockhart Jean Thiebaux 202-357-3453

The administrative staff includes: Acting Division Director M. Kent Wilson 202-357-9669

Deputy Division Director Bernard R. McDonald 202-357-9669

Administrative Officer Tyczer Henson 202-357-3683

The permanent Division staff consist of Boyle, Krause, Lockhart, McDonald, Ryff, Thaler, and Judith S. Sunley. Those starting this year as visiting scientists are Glazebrook, from Eastern Illinois University; Velez, from the University of Arizona; Izenman, from Temple University; and Triebaux, from the National Oceanographic and Atmospheric Administration.

In June 1992, DMS Division Director Judith S. Sunley began a two-year detail, serving as Administrative Officer of the Mathematical and Physical Sciences Directorate of the Foundation. Sunley may be reached at 202-357-9744. Wilson, previously the Administrative Officer of the Mathematical and Physical Sciences Directorate, is serving as Acting Division Director of DMS while the Foundation conducts a national search for a Division Director. Wilson is also Acting Division Director for the NSF's Division of Astronomy. Peter Arzberger has taken the position of Program Director for Computational Biology Activities in the NSF's Division of Biological Instrumentation and Resources, Directorate for Biological Sciences. Arzberger may be reached at 202-357-7652.

Many thanks to outgoing visiting scientists Jerry Bebernes, University of Colorado; Nell Sedransk, State University of New York at Albany; Robert Molzon, University of Kentucky (now visiting University of Nevada at Las Vegas); and Gary Cornell, University of Connecticut at Storrs.

All NSF staff can be reached through electronic mail. To form an individual's

851

address, take the first initial and last name, and append @nsf.gov for Internet, or @nsf for Bitnet. For example, to contact John Ryff through Internet, use the address [email protected]. (One exception is Acting Director Wilson, whose email addresses are mk:wilson @nsf.gov and mk:wilson@nsf.) The mailing address is Division of Mathematical Sciences, Room 339, National Science Foundation, 1800 G Street, NW, Washington, DC 20550.

Mathematics Staff in NSF's Education Directorate

The Directorate for Education and Human Resources (ERR) of the National Science Foundation (NSF) sponsors a range of programs that support educational projects in mathematics, science, and engineering. Listed below are the names and telephone numbers of those ERR program officers whose field is in the mathematical sciences or mathematics education. These individuals can provide information about the programs they oversee, as well as information about other ERR programs of interest to mathematicians.

Division of Elementary, Secondary, and Informal Education Teacher Enhancement Program Peter Braunfeld Ray Colings 202-357-7078

Presidential Awards for Excellence in Science and Mathematics Teaching Madeleine Long 202-357-9527

Instructional Materials Development Program Margaret Cozzens James Sandefur 202-357-7066

Young Scholars Program William Geeslin 202-357-7538

Division of Undergraduate Education Marjorie Enneking William Haver James Lightbourne EUzabeth Teles 202-357-7292

The ERR administrative staff includes:

852


Office of the Assistant Director for EHR Lida K. Barrett, Senior Advisor on Precollege Education 202-357-7926

Division of Research, Evaluation, and Dissemination Kenneth Travers, Director 202-357-7425

The community expresses its thanks for a job well done to outgoing rotators Miriam Leiva, who has returned to the University of North Carolina at Charlotte, and Joan Leitzel, who has taken a position as Senior Vice-Chancellor for Academic Affairs at the University of Nebraska at Lincoln.

Program officers in ERR can be reached through electronic mail. To form an individual's address, take the first initial and last name, and append @nsf.gov for Internet, or @nsf for Bitnet. For example, to contact William Geeslin on the Internet, use the address wgeeslin @nsf.gov. (One exception is James Lightbourne, whose address is [email protected] or jhlightb@nsf.)

The mailing address is Directorate for Education and Human Resources, National Science Foundation, 1800 G Street, NW, Washington, DC 20550.

Staff at DoD Agencies Five agencies of the Department of Defense fund research in the mathematical sciences. The names, addresses, and telephone numbers of the pertinent staff members are listed below.

Air Force Office of Scientific Research Directorate of Mathematical and Computer Sciences AFOSR/NM Building 410 Bolling AFB, DC 20332-6448 FAX: 202-404-7496 Charles J. Holland, Director 202-767-5025

Optimization and Discrete Mathematics Neal D. Glassman 202-767-5026

Physical Mathematics and Applied Analysis Arje Nachman 202-767-4939


Electromagnetics Arje Nachman, 202-767-4939

Artificial Intelligence Abraham Waksman 202-767-5028 email: waksman@ a.isi.edu

Signal Processing, Probability, and Statistics Jon A. Sjogren 202-767-4939 email: [email protected]

Computational Mathematics Marc Jacobs 202-767-5027

Software and Systems Charles J. Holland (acting) 202-767-5025 email: chollan @nswc-wo.navy.mil

Dynamics and Control Marc Jacobs 202-767-5027

Neural Computation Systems Steve Suddarth 202-767-5028 email: [email protected]

Army Research Office Mathematical and Computer Sciences Division P.O. Box 12211 Research Triangle Park, NC 27709 General email address: math@ aro-emh l.army.mil Jagdish Chandra, Director Gerald Andersen, Associate Director

Applied Analysis and Physical Mathematics Julian Wu 919-549-4332 email: jjwu@ aro-emh1.army.mil

Computer Science and Artificial Intelligence David Hislop 919-549-4255 email: [email protected]

Infrastructure, Support Programs for Army High Performance Computing Center Bruce Henriksen 919-549-4324 email: bruce@ aro-emh1.army.mil

Numerical Analysis, Scientific Computing, Optimization, and Symbolic Methods Kenneth D. Clark

__ .............. ... ....................... -............................... ______ ...... _ . ... ..... l'm=mlllllllll l1 !J zrr IRMM ..... -- ... ···

919-549-4256 email: clark@ adm.csc.ncsu.edu

Probability and Statistics Gerald Andersen 919-549-4253 email: [email protected]

Systems and Control; Centers of Excellence Jagdish Chandra 919-549-4254 email: chandra@ aro-emh1.army.mil

Workshops, Army-wide Conferences, Tutorials, and Special Projects Francis Dressel 919-549-4319

Defense Advanced Research Projects Agency Applied and Computational Mathematics Program 3701 North Fairfax Drive Arlington, VA 22203-1714 James Crowley, Program Manager 703-696-2287 email: [email protected]

National Security Agency Mathematical Sciences Program Attn: RMA Ft. George G. Meade, MD 20755-6000 Charles Osgood, Director 301-688-0400 (see note below) email: [email protected]

In the fall of 1992, the telephone number for the NSA's Mathematical Sciences Program will change to the number listed above; the old number, 410-859-6438, may still be in effect at the time this issue of the Notices reaches readers.

Office of Naval Research Mathematics Division Code 1111 800 North Quincy Street Arlington, VA 22217 Neil Gerr, Director 703-696-4321

Signal Analysis Neil Gerr 703-696-4321 email: [email protected]

Operations Research Don Wagner 703-696-4313 email: [email protected]


Probability and Statistics Julia Abrahams 703-696-4320 email: [email protected]

Discrete Mathematics Marc Lipman 703-696-4310 email: [email protected]

Numerical Analysis RichardLau 703-696-4316 email: [email protected]

Applied Analysis Reza Malek-Madani 703-696-4314 email: [email protected]

Reza Malek-Madani has joined the ONR staff on a part-time basis, on detail from the U.S. Naval Academy in Anapolis.

News from the Center for Discrete Mathematics and

Theoretical Computer Science DIMACS, the Center for Discrete Mathematics and Theoretical Computer Science, is planning a special year on Combinatorial Optimization to be held during the period September 1, 1992 through August 31, 1993.

The special year will be under the direction of Professor Laszlo Lovasz (Princeton and Budapest) and Dr. Paul Seymour (Bell core). The organizing committee consists of V. Chvatal (Rutgers), W. Cook (Bellcore ), L. Hall (Princeton), P. Hammer (Rutgers), D. Johnson (AT&T Bell Labs), W. Pulleyblank (IBM), and A. Schrijver (Amsterdam).

The theme of the special year is combinatorial optimization, broadly interpreted, and will include research activity, both theoretical and practical, on such topics as the travelling salesman problem (particularly fast heuristics for its solution in practice, but also theoretical approaches); linear programming; integer programming and the variety of techniques for this (approximation methods, heuristic methods, random methods, as well as the deterministic); perfect graphs; network flows, disjoint path problems and VLSI design; matching theory; and related minimax theory from combinatorics.


Activities of the special year will be held at all four DIMACS locations, at Rutgers, Princeton, AT&T Bell Labs, and Bellcore. There will be four special year workshops: One on disjoint path problems, November 16-20, 1992, organized by A.. Schrijver and P. Seymour; one on probabilistic algorithms for combinatorial optimization, February 22-27, 1993, organized by L. Lovasz; one on computing with NP-hard problems, March 29-April 2, 1993, organized by R. Bixby, W. Cook, and D. Johnson; and one on perfect graphs, May 10-14, 1993, organized by V. Chvatal, L. Lovasz, and B. Reed. There will be a consecutive mini-workshop on perfectly orderable graphs.

In addition, there will a number of continuing special year activities, in particular a regular seminar.

The special year will host a large number of visitors. Among the visitors expected are C. Colbourn, G. Comuejols, M. Deza, A. Gerards, M. Loebe, S. Poljak, N. Robertson, A. Schrijver, A. Sebo, D. Shmoys, G. Simonyi, and E. Tardos.

Results of the special year will be published in the DIMACS technical report series and in DIMACS volumes, which are published jointly by the Association for Computing Machinery and the American Mathematical Society.

Further information about the special year can be obtained from the organizers, in particular Paul Seymour: pds @bellcore.com.

NSF Enhances Database Access The National Science Foundation (NSF) has a program called Japanese Scientific and Engineering Database Access Project, known as NACSIS. NACSIS now offers "Custom Hot Topics", a free service that enables users to receive updates on their particular areas of interest. Like the existing "Hot Topics" service, each package will contain up to 100 current abstract records in a scientist's field. Updates will be automatically delivered as new records are added to the databases.

NSF continues to offer free searches of the NACSIS databases. Among the subject areas available are AI/ expert systems, neural networks, parallel comput-

853

-------··························· ..................................... _ ....• _ ....... -......... _ ................. _ ........... _ ....... _.,. ..• _ ........ _ .... .

ing, robotics, and telecommunications. Those interested in receiving the update services or in having searches of the NACSIS database performed may contact the NACSIS Search Operator by telephone: 202-357-7278 (1 p.m. to 4 p.m., EDT); FAX: 202-357-0320; or email: [email protected] (Internet) or nacsis@nsf (Bitnet).

AMS Opens Washington Office The AMS has opened an office in Washington, DC in order to enhance the presence of the mathematical sciences in the nation's capital and to facilitate public information efforts and interactions with other professional organizations, federal agencies, and Congress. The office will also provide support to mathematicians who are working on AMS projects.

The AMS Washington Office is located in the Dolciani Mathematical Cen-


ter, home of the Mathematical Association of America. AMS Associate Executive Director JohnS. ("Spud") Bradley will head the office, Monica Foulkes, formerly of the AMS Providence headquarters staff, will serve as administrative assistant, and Wendy Wilhoyte is the secretary and receptionist. A more extensive article about the Society's Washington Office is being prepared for a future issue of the Notices. The office opened on August 3, 1992, and current plans call for an official opening to be held in Spring 1993.

The address is the American Mathematical Society Washington Office, 1527 Eighteenth Street, NW, Washington, DC 20036-1358; telephone 202-588-1100. Bradley's email address will remain [email protected], and there will also be a non-user-specific email address for the Washington Office, amsdc@

math.ams.org. Please note: Bradley will remain Managing Editor of the Notices, but all correspondence concerning the Notices should still be sent to him in care of the Providence headquarters office, and email concerning the Notices should be sent to the address [email protected]. Sending material for the Notices to the Washington office will result in delays that could affect timely processing of the material.

Change to AMS Email Addresses The Society's email address has been changed from @MATH.AMS.COM to @MATH.AMS.ORG. Those who communicate with individuals on the Society staff are urged to update their address lists accordingly. In addition, a list of non-user-specific Society addresses appears in the Inside the AMS column of this issue of the Notices.

Differential Geometry, Global Analysis, and Topology

854

A. Nicas and W. F. Shadwick, Editors

This book contains the proceedings of a special session held at the Summer Meeting of the Canadian Mathematical Society in June 1990 at Dalhousie University. The articles collected here reflect the diverse interests of the participants but are united by the common theme of the interplay between geometry, global analysis, and topology. Some topics include applications to:

• low dimensional manifolds • control theory • integrable systems • Lie algebras of operators • algebraic geometry

You will appreciate the insight Differential Geometry, Global Analysis, and Topology provides into recent trends in these areas.

1991 Mathematics Subject Classifications. 14, 53, 57, 58 ISBN 0-8218-6017-8, 185 pp. (softcover), March 1992 Individual member $30, List price $50, Institutional member $40 CMS individual members can order at the Individual member price. Your ordering code is CMSAMS/12NA

All prices subject to change. Free shipment by surface; for air delivery, please add $6.50 per tHie. Prepayment required. Order from: American Mathematical Society, P .0. Box 1571, Annex Station, Providence, Rl 02901-1571, or call toll free 800-321-4AMS in the continental U.S. and Canada to charge with VISA or MasterCard. Canada residents, please include 7% GST.


Funding Information

for the Mathematical Sciences

AMS Centennial Fellowships Invitation for Applications,

1993-1994 Deadline December 1, 1992

These fellowships are intended to provide enhanced research opportunities to mathematicians who are several years past the Ph.D., who have a strong research record, but who have not had extensive postdoctoral research support in the past. Applicants should have received the Ph.D. degree between January 1, 1981, and December 31, 1986, and should not have had the equivalent of more than two years of full-time postdoctoral support.

The stipend for fellowships awarded for 1993-1994 has been set by the Trustees of the Society at $41 ,500 for nine months. In addition, there will be an expense allowance of $1,350. Applicants must be citizens or permanent residents of a country in North America. The fellowship may be combined with other stipends and/or part-time teaching; this option can be used to extend the award to cover a period of up to two years. For further information about the acceptability of such arrangements, contact the Secretary of the Society.

The number of fellowships to be awarded is small and depends on the amount of money contributed to the program. The Trustees have arranged a matching program from general funds in such fashion that funds for at least one fellowship are guaranteed. Because of the generosity of the AMS membership, it has been possible to award two or three fellowships a year for the past six years.

The deadline for receipt of applications is December 1, 1992. Awards

will be announced in February 1993, or earlier if possible.

For application forms, write to the Executive Director, American Mathematical Society, P.O. Box 6248, Providence, RI 02940. (It should be noted that completed application and reference forms should NOT be sent to this address, but to the address given on the forms.)

Visiting Professorships for Women

The National Science Foundation (NSF) sponsors the Visiting Professorships for Women program, through which experienced women researchers can undertake advanced research and teaching at institutions where they can also provide guidance and encouragement to other women.

The program allows a woman scientist, mathematician, or engineer to undertake research at a university or four-year institution. In addition to research, the visiting professor undertakes lecturing, counseling, and other interactive activities to increase the visibility of women scientists in the academic environment of the host institution and to provide encouragement to other women to pursue careers in science and engineering. More than one-half of the award period must be spent on research activities. The instructional or mentoring activities may be at the undergraduate or graduate levels, directed at the community at large, or involve some combination of such activities.

To be eligible, the applicant must hold a doctorate and be a U.S. citizen by the application deadline and must have independent research experience. In ad-


dition, she must currently be affiliated with an institution of higher education, research, government or industry, or on the staff of a professional organization.

The deadline for applications is November 1, 1992. For more information, contact: Visiting Professorships for Women, Room 1225, National Science Foundation, 1800 G Street, NW, Washington, DC 20550; telephone 202-357-7456. Program announcements can be requested electronically by sending email to [email protected] (Internet) or pubs@nsf (Bitnet); be sure to include the title of the brochure (NSF Visiting Professorships for Women), the publication number (92-66), number of copies desired, and your name and full mailing address.

NSF's Instrumentation and Laboratory Improvement Program

The Instrumentation and Laboratory Improvement (ILl) program of theN ational Science Foundation aims to improve the quality of undergraduate instruction by supporting the acquisition of instruments for laboratory courses in science, mathematics, and engineering. ILl provides matching grants in the range of $5,000 to $100,000 for instrumentation that serves as the basis for undergraduate instructional improvement at universities and two- and four-year colleges.

In the context of ILl, "laboratory" means any setting affording students active participation in the subject matter; the setting may involve an observatory, the field, or a computer room, as well as the traditional laboratory. ILl aims to improve laboratory instruction nationally as well as at specific project sites, so projects that will produce models for

855

.................................... ···~-~----iilll!llll!laB1111111111111J111ii!:ltl!lilllllllilllllil IH•aa.-1111·

Funding Information

the use of instructional instrumentation are especially sought. Projects based primarily on financial need, increased enrollments, or replacement of equipment at the same level of capability are not appropriate.

Leadership Projects in Laboratory Development (ILI-LLD), that have the potential to provide national models for undergraduate laboratory instruction. Proposals to ILI-LLD should address content, methods, modes of operation, new technology, or the contexts for science, mathematics, and/or engineering education. Requests for up to $100,000 will be considered. Those wishing to make a proposal to ILI-LLD should contact an

ILl program director before preparing a two- to three-page proposal.

The deadline for proposals to ILl is November 16, 1992. For more information, contact: Information and Laboratory Improvement, Division of Undergraduate Education, National Science Foundation, 1800 G Street, NW, Washington, DC 20550; telephone 202-357-7051; email [email protected] (Internet) or undergrad@nsf (Bitnet).

In addition to awards solely to support the acquisition of instrumentation, the ILl program anticipates making a small number of awards in fiscal year 1993 for innovative pilot projects, called

856

ME~OIRS American Mathematical Society

Vol. 99, Number 475

On the Existence of Feller Semigroups with Boundary Conditions Kazuaki Taira

This monograph provides a careful and accessible exposition of functional analytic methods in stochastic analysis.

1991 Mathematics Subject Classifications: 35, 47; 60 ISBN 0-8218-2535-6, 65 pages (softcover), August 1992 Individual member $14, Ust $23, Institutional member $18 Your ordering code is MEM0/99/475NA

Vol. 99, Number 476

The Subregular Germ of Orbital Integrals Thomas C. Hales

Hales shows how the properties of a variety Y may be used to confirm some predictions of Langlands theory on orbital integrals, Shalika germs, and endoscopy.

1991 Mathematics Subject Classification: 20; 12. 22 ISBN 0-8218-2539-9, 142 pages (softcover), September 1992 Individual member $17, List $28, Institutional member $22 Your ordering code is MEM0/99/476NA

All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepayment required. Order from: American Mathematical Society, P.O. Box 1571, Annex Station, Providence, RI 02901-1571, or call toll free 800-321-4AMS in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada, please include 7% GST.


MATHEMATICAL REVIEWS ASSOCIATE EDITOR - HALF-TIME

Applications and recommendations are invited for a one- or two-year half-time appointment as an Associate Editor of Mathematical Reviews (MR), to commence in January 1993. Applications will be welcome from persons taking leave from other positions and in particular from tenured faculty members who can take leave to come to MR for one or two years.

The MR office of the American Mathematical Society is located in Ann Arbor, Michigan, not far from the campus of the University of Michigan. The editors, although employees of the AMS, enjoy many privileges at the University. At present, MR employs fourteen mathematical editors, about six consultants, and over sixty nonmathematicians. It produces Mathematical Reviews, Current Mathematical Publications, various indexes, the on-line service MathSci and MathSci Disc. The responsibilities of an Associate Editor fall primarily in the day-to-day operations of selecting articles and books suitable for review, classifying these items, assigning them to reviewers, editing the reviews when they are returned, and correcting the galley proof. An individual with considerable breadth in pure or applied mathematics is sought and preference will be given those applicants with expertise in numerical analysis. The ability to write good English is essential and the ability to read mathematics in major foreign languages is important. (The ability to read mathematical articles in Russian or Chinese is especially desirable.)

Persons interested in ·combining a sabbatical or other leave with this half-time appointment as an Associate Editor are encouraged to write (by letter or email) for further information. The twelve-month salary is negotiable and will be commensurate with the experience the applicant brings to the position.

Applications (including curriculum vitae, bibliography, and names and addresses of at least three references) should be sent to

Dr. D. G. Babbitt, Executive Editor Mathematical Reviews P. 0. Box 8604 Ann Arbor, MI 48107-8604 Telephone: 313-996-5255 FAX: 313-996-2916 INTERNET: [email protected]

Interested applicants are urged to inquire without delay.

The American Mathematical Society is an equal opportunity employer.

For Your Information

CBMS to Publish Research in Undergraduate

Mathematics Education Ed Dubinsky

Purdue University The Mathematical Association of America (MAA) last year hosted a conference on Communicating among Communities (see UME Trends, March 1992; Focus, February 1992, carried the full text of the conference report). On the basis of recommendations from this conference, the Conference Board of the Mathematical Sciences (CBMS) has agreed to publish a number of annual volumes describing the state of the art in, and entitled, Research in Collegiate Mathematics Education. The volumes, which will appear in the CBMS series "Issues in Mathematics Education", will be coedited by Ed Dubinsky of Purdue University, James Kaput of the University of Massachusetts at Dartmouth, and Alan Schoenfeld of the University of California at Berkeley. The MAA's Committee on Research in Undergraduate Mathematics Education, augmented to include individuals from the various communities represented by CBMS, will serve as the Editorial Advisory Board.

The following material, modified from the prospectus for these volumes approved by CBMS, describes goals and rationale in more detail.

Background The past half dozen years have witnessed astonishing changes in (a) the intellectual community's understanding of the importance of collegiate mathematics education, (b) the development of a community of researchers who have made a firm commitment to doing research on issues of mathematics education at the college level, and (c) the mathematical community's willingness to address fundamental issues of undergraduate education in a serious way.

The best one-line summary of our needs is given in Everybody Counts:

"Reform of undergraduate mathematics is the key to revitalizing mathematics education." (page 40).

Undergraduate mathematics education affects all aspects of mathematics preparation, for it is in collegiate mathematics classes that the nation's schoolteachers receive their math-

ematical preparation (and thus the view of mathematics to which their students will be exposed). and it is in those classes that the nation's scientific and mathematical elite receive their fundamental grounding in mathematics.

In the late 1980s, two simultaneous developments resulted in the creation of a strong and growing collection of producers and consumers of research in mathematics education. The first is that a combination of mathematicians and educators have become interested in issues of undergraduate instruction, bringing to those issues the necessary synthesis of mathematics knowledge and increasingly sophisticated research skills. In recognition of the existence and importance of the research community, the MAA has an active Committee on Research in Undergraduate Mathematics Education. It is anticipated that the committee will soon become a joint AMS-MAA committee, with ties to the National Council of Teachers of Mathematics (NCTM) and the American Mathematical Association of Two Year Colleges (AMATYC).

The second development is a growing recognition by the mathematical community that fundamental curriculum reform can and should be informed by careful, sustained research into learning and teaching, as well as other factors involving undergraduate mathematics education. This recognition is an outgrowth of mathematicians' greatly enhanced interest in matters educational. It is also one consequence of the development of the field of research in collegiate mathematics education.

As little as ten years ago, the thought of education being the topic of serious attention at the Joint Mathematics Meetings would have been almost laughable. But the 1990 Meetings featured an invited main presentation on "Teaching Undergraduate Mathematics: Insights from Education Research"; subsequent meetings included an AMS panel on educational issues; and, in the past two years' meetings, contributed paper sessions on Research in Undergraduate Mathematics Education (in addition to those sponsored by Mathematicians and Educational Reform, and other educationally related sessions) occupied a significant part of the programs and were very heavily attended.

There is now a substantial community of mathematicians eager to know of and use the results of high quality inquiry into collegiate mathematics education. The existence of UME Trends similarly points to consumer demand-but it doesn't


................................................................................................................................................................... ________ .... _.~···-··- ........... ---~· ... ~-·-~-·--··~

For Your Information

offer a scholarly outlet for the research papers themselves. Indeed, the absence of a central print locus for research in undergraduate mathematics education has had a doubly constraining effect. On the one hand, there has been no straightforward way to consistently bring high quality work on collegiate mathematics education to the attention of the mathematical community. On the other hand, the absence of a clear dissemination mechanism has stifled the growth of the research community. Its presence, however, could have a strong catalytic effect.

In recognition of these problems and opportunities, the MAA conference made the following recommendation.

Recommendation 1. The Mathematical Association of America (MAA) and the American Mathematical Society (AMS), in cooperation with the National Council of Teachers of Mathematics (NCTM), should plan a series of annual special volumes presenting exemplary research papers in collegiate mathematics education. These volumes would serve as precursors to the establishing of a journal.

CBMS has now agreed to publish these volumes in the series.

Manuscript Solicitation and Review Initially, the editors and editorial board will solicit manuscripts designed to focus on major issues and to showcase research of the highest quality and significance. Such work

may include integrative summaries of what is known in areas of critical importance (e.g., calculus reform; linear algebra; gender and minority issues; the uses of technology in instruction; functions and reasoning about them); it may include discussions of methodological concerns; and it may include exemplary individual studies exploring aspects of mathematical thinking or instruction at the collegiate level. Of course, the news of the volumes' impending existence will be widely announced, and manuscripts will be actively solicited through the announcements. All submissions, whether they have been solicited by the editors or not, will receive a minimum of three independent reviews, and final decisions will be made in conference by all three editors (at least one of whom will have been one of the reviewers for the manuscript under discussion.)

For Further Information It is expected that the first volume will appear in 1994. More specific guidelines for authors will be available by January 1993 and will be disseminated widely throughout the mathematical community. Contact one of the editors if you would like more information about the volumes or about submitting articles: Ed Dubinsky, Department of Mathematics, Purdue University, West Lafayette, IN 47907-1968; James Kaput, Department of Mathematics, University of Massachusetts at Dartmouth, Dartmouth, MA 02747; Alan Schoenfeld, Graduate School of Education, Education in Mathematics, Science, and Technology, University of California, Berkeley, CA 94720.

Applied Discrete Mathematics and Theoretical Computer Science

Convergence Theory of Feasible Direction Methods DuDingzhu

This monograph is the first in a new series published by Science Press New York and Science Press Beijing and distributed by the American Mathematical Society. Many of the basic results included in this volume have not appeared in other books on this subject. Providing state-of-the-art review of convergence theory, this book will prove useful as an introduction to the field as well as a reference for specialists.

1991 Mathematics Subject Classification: 90,49 ISBN 1-880132-00-1; 7-03-002633-0/0.495 Science Press, Beijing. 118 pages (hardcover), 1991. List price $31 Your ordering code is ADM/INA

Dlacn-te Math~aurs and Theoretical Computer Science

Convergence Theory of Feasible Direction Methods Du Dingzhu

!!fl .... Nb"W YORK. L TO. BEUING, CIIINA

All prices subject to change. Prepayment required. Order from: American Mathematical Society, P.O. Box 1571, Annex Station, Providence, RI 02901-1571, or call toll free 800-321-4AMS in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada, please include 7% GST.


1992 AMS Elections

Candidates

OFFICERS Vice-President (one to be elected)

Melvin Hochster Anil Nerode

Member-at-Large of the Council (five to be elected) James H. Curry Peter Li Gloria C. Hewitt Kenneth A. Ribet Svetlana R. Katok Philip D. Wagreich Steven George Krantz Jonathan M. Wahl James I. Lepowsky Susan Gayle Williams

Board of Trustees (one to be elected) Roy L. Adler Richard W. Beals

NOMINATING COMMITTEE FOR 1993 (Approval voting, three to be elected)

Jerome A. Goldstein Louise A. Raphael Vaughan F. R. Jones Yum Tong Siu Brian J. Parshall Nancy K. Stanton

EDITORIAL BOARDS COMMITTEE FOR 1993 (Approval voting, two to be elected)

Bryan J. Birch Paul H. Rabinowitz Fan R. K. Chung Masamichi Takesaki

Election Information The ballots for election of members of the Council and Board of Trustees of the Society for 1993 will be mailed on or shortly after September 10, in order for members to receive their ballots' well in advance of the November 10 deadline. Prior to casting their ballots members are urged to consult the following articles and sections of the Bylaws of the Society: article I, section 1; article II, sections 1, 2; article.m, sections 1, 2, 3; article IV, sections 1, 2, 4; article VII, sections 1, 2, 5. The complete text of the Bylaws appears on pages 1177-1182 of the November 1991 issue of the Notices. A list of the members of the Council and Board of Trustees serving terms during 1992 appears in the AMS Reports and Communications section of the September 1992 issue of the Notices.

REPLACEMENT BALLOTS This year ballots for the AMS election will be mailed September 10, 1992, or within a day or two thereafter. The deadline for receipt of ballots is November 10, 1992.

There has been a small but recurring and distressing problem concerning members who state that they have not received ballots in the annual election. It occurs for several reasons, including failure of local delivery systems on university or corporate properties, failure of members to give timely notice of changes of address to the Providence office, failures of postal services, and other human errors.

To help alleviate this problem, the following replacement procedure has been devised: A member who has not received a ballot by October 10, 1992, or who has received a ballot but has accidentally spoiled it, may write after that date to the Secretary of the AMS, Post Office Box 6248, Providence, Rl 02940, asking for a second ballot. The request should include the individual's member code and the address to which the replacement ballot should be sent. Immediately upon receipt of the request in the Providence office, a second ballot, which will be indistinguishable from the original, will be sent by first class or air mail. It must be returned in an inner envelope, which will be supplied, on the outside of which is the following statement to be signed by the member:

The ballot in this envelope is the only ballot that I am submitting in this election. I understand that if this statement is not correct then no ballot of mine will be counted.

signature

Although a second ballot will be supplied on request and will be sent by first class or air mail, the deadline for receipt of ballots will not be extended to accommodate these special cases.

SUGGESTIONS FOR 1993 NOMINATIONS Each year the members of the Society are given the opportunity to propose for nomination the names of those individuals they deem both qualified and responsive to their views and needs as part of the mathematical community. Candidates will be nominated by the Council to fill positions on the Council and Board of Trustees to replace those whose terms expire January 31, 1994. See the AMS Reports and Communications section of the September 1992 Notices for the list of current members of the Council and Board of Trustees. Members are requested to write their suggestions for such candidates in the appropriate spaces below.

SUGGESTIONS FOR 1993 NOMINATIONS President-Elect (1)

Vice-President (1)

Members-at-large of the Council (5)

Member of the Board of Trustees (1)

The completed form should be addressed to AMS Nominating Committee, Post Office Box 6248, Providence, Rl 02940, to arrive no later than November 10, 1992.


Program

The eight-hundred-and-seventy-sixth meeting of the American Mathematical Society (AMS) will be held at Wright State University, Dayton, Ohio, on Friday, October 30, Saturday October 31, and Sunday, November 1, 1992. Invited addresses will be in the auditorium of the Medical Sciences Building; sessions will be held in the Russ Engineering Center and in Rike Hall.

Invited Addresses

By invitation of the Central Section Program Committee, there will be four invited one-hour addresses. The speakers, their affiliations, and the titles of their talks are:

Martin Golubitsky, University of Houston, Symmetry and chaos.

Jonathan I. Hall, Michigan State University, Finite methods in infinitegroups and discrete geometries.

Louis H. Kauffman, University of Illinois at Chicago, From knots to quantum field theory and back.

J. Toby Stafford, University of Michigan, Ann Arbor, Noncommutative graded algebras and projective geometry.

Special Sessions

By invitation of the same committee, there will be twelve special sessions of selected twenty-minute papers. The topics of these sessions, and the names and affiliations of the organizers, are as follows:

Hyperbolic manifolds, Colin C. Adams, Williams College, and Ara S. Basmajian, University of Oklahoma.

Quantum groups and regular algebras, Carolyn A. Dean, University of Michigan, Ann Arbor, Timothy J. Hodges, University of Cincinnati, and J. Toby Stafford.

Operator theory and operator algebras, Joanne M. Dombrowski and Richard Mercer, Wright State University.

Combinatorics and graph theory, Anthony B. Evans and Terry A. McKee, Wright State University.

Groups and geometries, Daniel E. Frohardt, Wayne State University.

Control theory and partial differential equations, Lop Fat ·Ho, Wright State University, Srdjan D. Stojanovic, University of Cincinnati, and Thomas Svobody, Wright State University.

Dayton, Ohio Wright State University October 30-November 1, 1992

Differential and integral equations, Muhammad N. Islam, University of Dayton, and Lawrence Thryn, Wright State University.

Knots and topological quantum field theory, Louis H. Kauffman.

Riccatti equations and transport theory, Hendrik J. Kuiper, Arizona State University, and Tapas Mazumdar, Wright State University.

Topology of affine hypersurfaces and related number theory, Anatoly S. Libgober, University of Illinois at Chicago, and Steven Sperber, University of Minnesota, Minneapolis.

Set-theoretic topology, Joe D. Mashburn, University of Dayton.

Function theory, C. David Minda, University of Cincinnati.

Abstracts for consideration for these sessions should have been submitted by the July 13, 1992 deadline. This deadline was previously published in the Calendar of AMS Meetings and Conferences and in the Invited Speakers and Special Sessions section of the Notices.

Contributed Papers

There will also be sessions for contributed ten-minute papers. Abstracts should have been submitted by the August 3, 1992 deadline previously published in the Calendar of AMS Meetings and Conferences. Late papers will not be accommodated.

Registration

The meeting registration desk will be located in the first floor lobby of the Russ Engineering Center. The registration desk will be open from 12:30 p.m. to 5:00p.m. on Friday, October 30; and 8:00a.m to 3:00p.m. on Saturday, October 31. The registration fees are $30 for members of the AMS, $45 for nonmembers, and $10 for students or unemployed mathematicians.

Accommodations

Rooms have been blocked for participants at the Holiday Inn (Fairborn I-165 location), Homewood Suites, and the Red Roof Inn (Fairborn location), located just south of the street (Colonel Glenn Highway) that borders the south edge of the


----------··················-· .. -····-···-··-- .. --................... _. __ ..... _ .. _ ... _. _______ ---··----Meetings

Wright State Campus. Rooms have also been blocked at the Ramada Inn (Fairborn location), and the Comfort Inn WrightPatterson in central Fairborn. Participants should make their own arrangements with the hotel of their choice and ask for the AMS conference rate.

Fairborn is a suburb of Dayton and most lodgings are chains with other locations in the metropolitan Dayton area. Thus, participants are advised to verify the street address of the lodging when making reservations. All rates are subject to a twelve percent tax. The AMS is not responsible for rate changes or the quality of the accommodations offered by these hotels/motels.

Comfort Inn Wright-Patterson (5 miles from Russ Engineering Center)

616 North Broad Street, Fairborn, OH 45324 Telephone: 513-879-7666 or 800-245-3127 The deadline for reservations is October 16, 1992. Single $39 Double $43

Holiday Inn Fairborn I-675 (0.4 miles from Russ Engineering Center)

2800 Presidential Drive, Fairborn, OH 45324 Telephone: 513-426-7800 or 800-465-4329 The deadline for reservations is October 9, 1992. Flat rate $63 up to four occupants Please note: The previously published rate was incorrect. We regret any inconvenience this may have caused.

Homewood Suites (0.5 miles from Russ Engineering Center)

2750 Presidential Drive, Fairborn, OH 45324 Telephone: 513-429-0600 or 800-225-5466 The deadline for reservations is October 9, 1992. Flat rate $69 Suite with king bed, sleeper sofa (four occupants)

Ramada Inn (5 miles from Russ Engineering Center) 800 North Broad Street, Fairborn, OH 45324 Telephone: 513-879-3920 or 800-272-6232 The deadline for reservations is October 16, 1992. Single or double occupancy $42

Red Roof Inn - Fairborn, #205 (.7 miles from Russ Engineering Center)

2580 Colonel Glenn Highway, Fairborn, OH 45324 Telephone: 513-426-6116 or 800-874-9000 The deadline for reservations is October 20, 1992. When making reservations participants should mention the following confirmation number: 205AA92304. Single $35.99 Double $42.99 Triple $45.99

Food Service

The cafeteria in the University Center (a convenient walk from the buildings in which the meeting will be held) will be open for breakfast, lunch, and dinner on Friday, October 30, and for brunch and dinner on Saturday, October 31 and Sunday,

November 1. Several restaurants and fast food establishments are located adjacent to the Wright State campus. Some of these are convenient to the buildings in which the meeting will be held; others are close to the Holiday Inn Fairborn, the Homewood Suites, or the Red Roof Inn-Fairborn. Likewise, other restaurants and fast food establishments are located in downtown Fairborn, near the Comfort Inn Wright-Patterson or the Ramada Inn.

Parking

Free parking will be available to participants throughout the meeting. On the afternoon of Friday, October 30, participants should park in the PE Lot located southwest of the Russ Engineering Center. From Friday night through Sunday afternoon, participants may park in essentially all campus lots (excepting those spaces marked as reserved). The most convenient will be FW Lot, Health Sciences Lot, Biological Sciences Lot, Rike Lot, Visitor Lot, Allyn Lot, and PE Lot. These lots are shown on the campus map, as are the buildings in which the sessions will be held: Russ Engineering Center (RC on the map), Rike Hall (R), and Medical Sciences Building (MS).

Travel and Local Information

Arriving by air: Dayton International Airport is served by several major airlines. Car rental agencies are located in the airport terminal. Ground transportation is available by Dayton Yellow Cab (513-228-1155) and Charter Vans, Inc. (513-898-4043 or 898-7171). The airport is approximately a thirty-minute drive from the campus. Rental car companies are located in the airport terminal.

Arriving by car: The principal highways through the Dayton metropolitan area are 1-70, 1-75, and US Route 35. Participants arriving from the north of Dayton on 1-75 should take 1-75 South to 1-70 East, then Ohio Route 4 South to Ohio Route 444 North to Kauffman Avenue.

Participants arriving from south of Dayton on 1-75 should take 1-75 North to 1-675 North and exit at the North Fairfield Road exit (exit 17). Tum left on North Fairfield and left on Colonel Glenn Highway. (Alternatively, at exit 17 one may take 444A and follow it to the Wright State exit).

Participants arriving from east of Dayton on 1-70 should take 1-70 West to 1-675 South and exit at North Fairfield Road (exit 17). Tum right on North Fairfield and left on Colonel Glenn Highway.

Participants arriving from east of Dayton on US 35 should take US 35 West and exit onto 1-675 North. On 1-675 North, exit at the North Fairfield Road exit (exit i7) and tum left on North Fairfield and left on Colonel Glenn Highway. (Alternatively, at exit 17 one may take 444A and follow it to the Wright State exit).

Participants arriving from west of Dayton on 1-70 should take 1-70 East to Ohio Route 4 South to Ohio Route 444 North to Kauffman Avenue.


............................................... ·······~··········--·········-·····-·- ··················-··-········-------.-----------·····---·----------~·--·-·---·-·--·---

Meetings

Participants arriving from west of Dayton on US 35 should take US 35 East to I-675 North to the North Fairfield Road exit (exit 17). Tum left on North Fairfield and left on Colonel Glenn Highway. (Alternatively, at exit 17 one may take 444A and follow it to the Wright State exit).

Ohio Route 4 may be under construction when this meeting occurs. Therefore, participants arriving by car from north of Dayton on 1-75 or from west of Dayton on 1-70 should be prepared to alter the directions above as follows: follow 1-70 East; skip the exit at Ohio Route 4 and continue on 1-70 East to 1-675 South and exit at North Fairfield Road (exit 17). Tum right on North Fairfield and left on Colonel Glenn Highway.

[!] 0 p

MS Medical Sciences R Rike Hall RC Russ Engineering

Center PE

Weather and Local Attractions The average temperatures in Dayton for early November are 57-58°F (high) and 38-39°F (low). The closest local attraction is the United States Air Force Museum, approximately a tenminute drive from campus. This is the largest military aviation museum in the world. Admission is free. The museum is open from 9:00a.m. to 5:00p.m. every day. Exhibits include about two hundred aircraft and missiles, many other displays of related historical artifacts, and free documentary films. For a $4 admission, one can also view films in the huge-screen IMAX Theater. Rounding out the facility are a book shop, gift store, and cafe.


*Abou-Kandil, H., 199 *Adolphson, A. C., 96 * Adomian, G., 201 *Anderson, J. T., 275 *Anderson, J. W., 112 * Apanasov, B., 150

Arasu, K. T., 134 * Arasu, K. T., 86 *Axler, S., 163 *Baadhio, R. A., 125 *Baemstein, A., IT, 37 *Barnard, R. W., 107 * Beineke, L. W., 146 *Bell, A. D., 244 *Bennett, C., 89 *Bercovici, H., 167 * Beslagic, A., 98 * Billington, E. J., 84 *Blecher, D. P., 7 *Bloch, A.M., 21 *Bonk, M., 106 * Boyadzhiev, K., 165 *Brennan, J. E., 221

Brierly, J. E., 131 *Broughton, S. A., 92 * Brylinski, J.-L., 205 *Buck, R. E., 268 * Canary, R. D., 152 *Carter, J. S., 191 * Cassou-Nogues, P., 206 *Chartrand, G., 236

Chilakamarri, K. B., 46 *Chung, F. R., 144 *Ciesielski, K., 215 *Collins, K. L., 141 *Colonna, F., 273 *Cowen, C. C., 164 *Crane, L., 22 *Crew, R., 95 *Curran, S. J., 56 *Curto, R. E., 251 *Damon, J., 202 * deLaubenfels, R., 169 *Delgado, A. L., 176 * Dieci, L., 200 *Dillon, J. F., 12

Ding, Y., 225 *Dow, A., 34 *Duren, P., 71 *Durfee, A., 32 *Elaydi, S. N., 19 * Eliezer, D., 123 *Eloe, P. W., 186 * Erbe, L., 189 * Exel, R., 249

864

Presenters of Papers

Numbers following the names indicate the speakers' positions on the program. • AMS Invited Lecturer * AMS Special Session Speaker

* Fatemi, E., 127 *Fischer, J. E., Jr., 193 *Fischman, D., 246 *Fisher, B. N., 207 *FitzGerald, C. H., 72 *Fleissner, W. G., 36 *Freed, D., 62 *Gardiner, S. J., 274 *Gatica, J. A., 18 *Gehring, F. W., 157 * Ghamsari, M., 219 *Giaquinto, A., 160

Gillman, R. A., 132 * Gilman, J., 111 *Gilmer, P. M., 61 *Glassey, R., 65 *Goldman, J. R., 195 • Golubitsky, M., 140

Gong, G., 227 * Goss, D. M., 208 *Graham, R., 10 *Greenberg, W., 63 *Griess, R. L., Jr., 88 * Gruenhage, G., 99 * Gunzburger, M.D., 182

Guo, L., 136 Gurney, D., 228

*Haas, A., 151 Habibi, J., 137

*Hagan, P. S., 129 • Hall, J. 1., 1 *Hamilton, D. H., 39

Harary, F., 41 Harris, M. J., 232

* Hass, J., 242 *Hayes, D., 209 * Heath, R. W., I 00 *Heinonen, J., 216 *Henderson, J., 187 * Hering, R. H., 254 *Herron, D. A., 218

Hibschweiler, R. A., 223 * Hopenwasser, A., 77 * Hsu, D. F., 11 *Ito, K., 261 * Ivanov, A. A., 172 *Jacobson, M. S., 147 *Jenkins, J. A., 70 * Jing, N., 113 *Johnson, P., 175

Jones, J., Jr., 231 *Jorgensen, P. E., 51 * Juang, J., 29 *Just, W., 102

Kadir, G. A., 133

* Kaftal, V., 48 * Kaliman, S., 31 * Kang, S.-J., 2 * Kapranov, M., 115 • Kauffman, L. H., 139 *Kausch, D. J., 245

Khalirnsky, E., 234 * Kilic, S., 52

Kirne, K., 179 *King, C., 122 *Kirkman, E., 4 * Kornkov, V., 183 * Korman, P., 120 *Koskela, P., 217 * Kra, 1., 240 * Krawcewicz, W., 252 *Kreider, K. L., 64 *Kuiper, H. J., 260 * Kusner, R., 108 *Lakshmibai, V., 114 *Lambert, A., 168 *Larson, D. R., 76 * Lasiecka, 1., 262

Latushkin, Y., 230 *Lawrence, L. B., 103 *Lawrence, R. J., 126 *Lesniak, L., 238 *Letzter, E. S., 162 * Letzter, G., 3 *Leung, A. W., 121 *Leung, Y., 73 *Levy, R., 210 *Lewis, J ., 38 * Libgober, A., 33

Lindgren, W., 233 Lomonaco, S., 60

*Lonergan, F. D., 59 *Lotto, B. A., 8

Madigan, K. M., 229 * Magaard, K., 173 *Manfredi, J. J., 220 *Margolin, R., 178 *Martin, C., 197 *Maskit, B., 155 *McCullough, D., 156 *McGuire, P. J., 166 *McLaughlin, D. A., 255 *McMorris, F. R., 237 *Meierfrankenfeld, U., 170 *Messing, W., 67 *Meuser, D., 265 *Meyer, K., 20 *Meyerowitz, A. D., 80

Michelacakis, N., 224 *Miller, A. W., 269


*Miller, A., 241 *Miller, Z., 149 *Millett, K. C., 258

Milne, S. C., 55 *Minda, D., 272 *Minsky, Y. N., 153 *Mordukhovich, B., 180

Moser, D., 45 * Muhly, P. S., 248 *Mullins, D. T., 23 * Murasugi, K., 256 *Musson, I. M., 5

Newcomb, J. W., 54 * Nijhoff, F., 194 * Niziol, W., 94 *Norman, P., 68 * Nyikos, P. J., 211 * 0' Shea, D., 93 * Orlik, P., 204 *Orr, J. L., 75 * Ouyang, M., 243 *Oxley, M. E., 118 *Pasini, A., 177 *Pavel,N.H., 181 * Perkel, M., 90 *Peterson, A., 188 *Phillips, R. E., 91 *Pitts, D. R., 74 *Pop, F., 250 *Powers, R. T., 50 *Preece, D. A., 81 *Price, G., 49 * Przytycki, J. H., 257 *Pullin, J., 124 * Puttaswamy, T. K., 185

Qiu,Z., 226 *Radford, D. E., 247 *Randell, R., 203 * Ray-Chaudhuri, D. K., 85 *Reid, A., 110 *Richardson, T. M., 87 *Richter, S., 9 *Ringhofer, C., 130 *Robertson, N., 145 *Robinson, M. M., 266 *Rodman, L., 198 *Roitman, J., 212 * Rong, Y., 24 *Rosen, I. G., 263 *Rossi, J., 222 *Sagan, B. E., 143 *Saito, M., 192 *Schack, S. D., 159 *Schaeffer, J., 66 *Schroeder, B. S., 58

--~---~~~-·-·---·····-········~·~··~- ~---RJIJil!I'R!IRRRRRRRR_Ii ...... _ ....... -..... ~-·······-········ ... · .. ···-······---·-·-·····-~··---···· .. -··-··


Schultz, M., 43 *Schwenk, A. J., 148 * Scott, P., 1 09 * Seberry, J., 82 * Segev, Y., 171 *Sehgal, S., 83 *Seth, D. L., 27 * Shakhmatov, D. B., 213 * Shalen, P. B., 154 *Shew, S. M., 26 * Shu1t, E. E., 15

Siegel, E. A., 138 *Smith, S. D., 17 *S<iibelman, Y., 116

Song, S. Y., 53 *Sperber, S., 267 • Stafford, J. T., 47 * Staniszkis, J. M., 158 *Stephenson, K., 104 * Steprans, J., 214 * Stojanovic, S., 184 *Straight, J., 235 * Suffridge, T. J ., 40 *Tall, F. D., 270

Tan, L., 57 *Terman, D., 119 *Terwilliger, P., 142 *Totaro, B., 30

*Trent, T. T., 78 * Tretkoff, M., 69 *vanBon,J., 16

Yandell, R. C., 42 *Vaughan, J. E., 271 *Victory, H. D., Jr., 128 * Villamor, E., 105 * Volklein, H., 174 *Wallis, W. D., 13 *Wan,D.,97 * Wang, A. P., 28 *Watson, S., 35 *Weiss, R. M., 14 *West, D. B., 239

*Westwood, D., 79 *Wicke, H. H., 101

Winters, S. J., 44 *Wolper, J. S., 196 *Wood, W. A., 259

Xiang, Q., 135 *Yetter, D. N., 25 *Young, P. T., 264 *Zhang, B., 253 *Zhang, H., 190 *Zhang, J. J., 161 *Zhang, S., 6 >!!Zinner, B., 117

Volumes 135 & 136

Symbolic Dynamics and its Applications Peter Walters, Editor

This volume contains the proceedings of the conference, Symbolic Dynamics and its Applications, held at Yale University in the summer of 1991 in honor of Roy L. Adler on his sixtieth birthday. The conference focused on symbolic dynamics and its applications to other fields, including:

• ergodic theory • smooth dynamical systems • information theory • automata theory • statistical mechanics.

Featuring a range of contributions from some of the leaders in the field, this volume presents an excellent overview of the subject.

1991 Mathematics Subject Classification: 28, 54; 58, 60 ISBN 0-8218-5146-2,452 pages (softcover), September 1992 Individual member $33, List price $55, Institutional member $44 Your ordering code is CONM/135NA

Curves, Jacobians, and Abelian Varieties: Proceedings of a Summer Research Conference on the Schottky Problem Ron Donagi, Editor

This volume contains the proceedings of an AMS-IMSSIAM Joint Summer Research Conference on the Schottky Problem, held in June 1990 at the University of Massachusetts at Amherst. The conference explored various aspects of the Schottky problem of characterizing Jacobians of curves among all abelian varieties. Some of the articles study related themes, including the moduli of stable vector bundles on a curve, Prym varieties and intermediate Jacobians, and special Jacobians with exotic polarizations or product structures.

1991 Mathematics Subject Classification: 14; 32 ISBN 0-8218-5143-8, 342 pages (softcover), September 1992 Individual member $37, List price $62, Institutional member $50 Your ordering code is CONM/136NA

All prices subject to change. Prepayment required. Order from: American Mathematical Society, P.O. Box 1571, Annex Station, Providence, AI 02901-1571, or call toll free 800-321-4AMS in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada, please include 7% GST.


866

Program of the Sessions

The time limit for each contributed paper in the sessions is ten minutes. In the special sessions, the time limit varies from session to session and within sessions. To maintain the schedule, time limits will be strictly enforced.

Abstracts of papers presented in the sessions at this meeting will be found in the October 1992 issue of Abstracts of papers presented to the American Mathematical Society, ordered according to the numbers in parentheses following the listings below.

For papers with more than one author, an asterisk follows the name of the author who plans to present the paper at the meeting.

Friday, October 30

Invited Address

1 :30 p.m.-2:20 p.m. Auditorium, Medical Sciences Building

(1) Finite methods in infinite groups and discrete geometries. Jonathan I. Hall, Michigan State University (876-20-180)

Special Session on Quantum Groups and Regular Algebras, I

3:00 p.m.-4:50 p.m. Room 64, Rike Hall

3:00 p.m. Representations of quantum groups and crystal base (2) theory.

Seok-Jin Kang, North Carolina State University (876-17-42)

3:30 p.m. Verma module annihilators for quantized enveloping (3) algebras.

Gall Letzter*, Blacksburg, Virginia, and Antony Joseph, The Weizmann lnstitue, Israel and Universite de Paris, France (876-16-136)

4:00 p.m. A q-analog for the Virasoro algebra. (4) E. Kirkman*, Wake Forest University, C. Procesl,

University of Rome, Italy, and L. Small, University of California at San Diego, La Jolla (876-16-159)

4:30 p.m. Hopf algebra duality, injective modules and quantum (5) groups.

William Chin, DePaul University, and lan M. Musson*, University of Wisconsin, Milwaukee (876-16-11 O)

Special Session on Operator Theory and Operator Algebras, I

3:00 p.m.-4:50 p.m. Room 150, Russ Engineering Center

3:00 p.m. Rectifiable diameters of the Grassmann spaces of von (6) Neumann algebras and certain C*-algebras.

Shuang Zhang, University of Cincinnati (876-46-238)

3:30 p.m. Morita equivalence of operator algebras. (7) David P. Blecher*, University of California, Berkeley,

Paul S. Muhly, University of Iowa, and Vern Paulson, University of Houston (876-46-84)

4:00 p.m. Von Neumann's inequality for commuting, (8) diagonalizable contractions.

B. A. Lotto*, University of California, Berkeley, and T. Steger, University of Chicago (876-47-129)

4:30 p.m. Hyperinvariant subspaces of the harmonic Dirichlet (9) space.

William T. Ross, University of Richmond, Stefan Richter* and Carl Sundberg, University of Tennessee, Knoxville (876-47-34)

Special Session on Combinatorics and Graph Theory, I


3:00 p.m. Digraph polynomials. (10) Joe Buhler, Reed College, Fan Chung, Bellcore,

Morristown, New Jersey, and Ron Graham•, AT&T Bell Laboratories, Murray Hill, New Jersey (876-05-39)

3:30 p.m. Perfect Mendelsohn designs without repeated blocks. (11) D. Frank Hsu, Fordham University (876-05-194)

(Sponsored by Anthony B. Evans)

4:00 p.m. Designs, graphs and automorphisms. Preliminary (12) report.

J. F. Dillon, National Security Agency, Maryland (876-05-1 02)

4:30 p.m. Some resolvable regular graph designs. Preliminary (13) report.

D. L. Kreher, Michigan Technological University, and Walter D. Wallis*, Southern Illinois University (876-05-33)

Special Session on Groups and Geometries, I


3:00 p.m. Graphs which are locally projective spaces. (14) Preliminary report.

Richard M. Weiss, Tufts University (876-20-58)

3:30 p.m. A general scheme for constructing polygons. (15) Preliminary report.

Ernest E. Shult*, Kansas State University, and Joseph A. Thas, University of Ghent, Belgium (876-51-234)



4:00 p.m. Classifying distance-transitive graphs. (16) John van Bon, Tufts University (876-20-112)

(Sponsored by Daniel E. Frohardt)

4:30p.m. 2-Modular embeddings of monster geometries. (17) Stephen D. Smith, University of Illinois, Chicago

(876-20-09)

Special Session on Differential and Integral Equations, I


3:00 p.m. Nonnegative solutions of quasilinear elliptic boundary (18) value problems with nonnegative coefficients.

N. P. Cac, University of Iowa, A. M. Fink, Iowa State University, and Juan A. Gatica*, University of Iowa (876-34-23)

3:30 p.m. Periodic solutions for Volterra difference equations. ( 19) Preliminary report.

Saber N. Elaydi, Trinity University (876-39-161)

4:00 p.m. Comet like periodic orbits in the N -body problem. (20) Kenneth Meyer, University of Cincinnati (876-70-62)

4:30 p.m. Integrable differential equations and convexity. (21) Anthony M. Bloch, Ohio State University, Columbus

(876-34-135)

Special Session on Knots and Topological Quantum Field Theory, I


3:00 p.m. Quantum physics and categorical topology. (22) Louis Crane, Yale University (876-55-08)

3:30 p.m. The generalized Casson invariant and branched (23) covers of knots.

David T. Mullins, New College, Univeristy of South Florida (876-57-256) (Sponsored by Louis H. Kauffman)

4:00 p.m. Knot complement problem in three manifolds. (24) Yongwu Rong, Michigan State University (876-57-12)

4:30 p.m. Triangulations and TQFT's. Preliminary report. (25) David N. Yetter, Kansas State University (876-57-114)

Special Session on Riccatti Equations and Transport Theory, I


3:00 p.m. Abstract transmission operators, reflection operators (26) and solutions of linear and Riccati equations.

Preliminary report. Steven M. Shew, Glendale Community College (876-34-157) (Sponsored by Hendrik J. Kuiper)

3:30 p.m. lntegrodifferential equations for two-dimensional (27) transmission, /eft-turn and right-turn kernels.

Preliminary report. Paul Nelson, Texas A&M University, College Station, Dan L. Seth*, Morehead State University, and R. Vasudevan, Institute of Mathematical Sciences, India (876-99-1 00)

4:00 p.m. The inverse problem of three-dimensional (28) Chandrasekar's equation. Preliminary report.

Alan P. Wang, Arizona State University (876-85-166) (Sponsored by Hendrik J. Kuiper)

4:30 p.m. On the scattering matrix with an angular shift. (29) Jonq Juang, National Chiao Tung University, People's

Republic of China (876-34-247)

Special Session on Topology of Affine Hypersurfaces and Related Number Theory, I


3:00 p.m. Topology of affine algebraic surfaces. Preliminary (30) report.

Burt Totaro, University of Chicago (876-14-169) (Sponsored by Anatoly S. Libgober)

3:30 p.m. Smooth contractible hypersurfaces in C" and exotic (31) structures on C". Preliminary report.

Shulim Kaliman, University of Miami (876-14-184)

4:00 p.m. Critical points at infinity. (32) A. Durfee, Mount Holyoke College (876-14-248)

4:30 p.m. Topological invariants of affine hypersurfaces. (33) Preliminary report.

A. Libgober, University of Illinois, Chicago (876-14-170)

Special Session on Set-Theoretic Topology, I


3:00 p.m. On subcontinua and sub cutpoints of {JR. (34) A. Dow*, York University, and K. P. Hart, Delft

University of Technology (876-03-237)

3:30 p.m. Not all Dendroids have means. (35) Stephen Watson, York University (876-54-246)

4:00 p.m. If every continuous image of X is real compact, must (36) X be Linde/of? Preliminary report.

William G. Fleissner, University of Kansas (876-54-68)

4:30 p.m. Informal Discussion

Special Session on Function Theory, I


3:00 p.m. An extremal property of meromorphic functions with (37) n-fold symmetry.

Albert Baernstein, II, Washington University (876-30-145)

3:30 p.m. A proof of Picard's theorem and Rickman's theorem by (38) way of Harnack's inequality. Preliminary report.

John Lewis, University of Kentucky (876-30-128)


868

----···--------------------Program of the Sessions

Friday, October 30 (cont'd)

4:00 p.m. Absolutely continuous conjugacies of inner functions. (39) David H. Hamilton, University of Maryland, College

Park (876-30-143) (Sponsored by C. D. Minda)

4:30 p.m. Holomorphic mappings onto convex sets in n-space. (40) Preliminary report.

Ted J. Suffridge, University of Kentucky (876-32-160)

Session on Graph Theory, I


3:00 p.m. Destroying the automorphisms of a graph by (41) orientations.

Frank Harary, New Mexico State University (876-05-236)

3:15 p.m. H -decomposition numbers of graphs. (42) Brian A. Keller, Robert C. Yandell* and Steven J.

Winters, Western Michigan University (876-05-179)

3:30 p.m. On signed degrees in signed graphs. Preliminary (43) report.

Frank Harary, New Mexico State University, Gary Chartrand, Heather Jordan Gavlas and Michelle Schultz*, Western Michigan University (876-05-178)

3:45 p.m. Directed distance in digraphs: Centers and medians. (44) Gary Chartrand, Western Michigan University, Garry

L. Johns, Saginaw Valley State University, Songlin Tlan, Central Missouri State University, and Steven J. Winters*, Western Michigan University (876-05-177)

4:00 p.m. Two results in the study of harmonious colorings. (45) David Moser, Indiana University-Purdue University, Ft.

Wayne (876-05-162)

4:15p.m. A 4-chromatic unit-distance graph with no triangles. (46) Preliminary report.

Kiran B. Chilakamarri, Central State University (876-05-142) (Sponsored by Terry A. McKee)

Invited Address

5:00 p.m.-5:50 p.m. Auditorium, Medical Sciences Building

(47) Noncommutative graded algebras and projective geometry. J. T. Stafford, University of Michigan, Ann Arbor (876-16-125)

Special Session on Operator Theory and Operator Algebras, II


7:00 p.m. Quasitriangular algebras in semifinite von Neumann (48) algebras and related topics.

VIctor Kaftal* and Gary Weiss, University of Cincinnati (876-46-81)

7:30 p.m. Binary shifts on the hyperfinite I I 1 factor. Preliminary (49) report.

Geoffrey Price, United States Naval Academy (876-46-27) (Sponsored by Harold M. Kaplan)

8:00 p.m. Continuous semigroups of endomorphisms of SB (.fj ). (50) Robert T. Powers, University of Pennsylvania

(876-46-156)

8:30 p.m. Extensions of operators and covariant operator (51) systems.

Palle E. T. Jorgensen, University of Iowa (876-47-01)

9:00 p.m. Berezin symbol and the multipliers of the functional (52) Hilbert spaces. Preliminary report.

Samra Kilic, University of New Hampshire (876-47-130)

Special Session on Combinatorics and Graph Theory, II


7:00 p.m. Symmetrizable commutative fission schemes. (53) Preliminary report.

Sung Y. Song, Iowa State University (876-05-90)

7:30 p.m. U(n) very well-poised 10¢>9 transformations. (54) Stephen C. Milne and John W. Newcomb*, Ohio

State University, Columbus (876-33-88)

8:00 p.m. Nonterminating q-whipple transformations for basic (55) hypergeometric series in U(n).

Stephen C. Milne* and John W. Newcomb, Ohio State University, Columbus (876-33-89)

8:30 p.m. Hamilton paths in Cayley digraphs. Preliminary report. (56) Stephen J. Curran, University of Pittsburgh,

Johnstown (876-05-24)

9:00 p.m. Signs in the Laplace and multi-Laplace expansions of (57) determinants.

Lin Tan, West Chester University of Pennsylvania (876-05-87)

9:30 p.m. Rectractable points and the fixed point property. (58) Bernd S. W. Schroeder, Kansas State University

(876-06-05)

Special Session on Knots and Topological Quantum Field Theory, II


7:00 p.m. A counterexample to the Kirby-Melvin and (59) Reshetikhin-Turaev formulations of the Witten

3-manifo/d invariant. Preliminary report. Francis D. Lonergan, Webster, Massachusetts (876-55-21)

7:30 p.m. Minimal energy electrostatic knots. (60) Sam Lomonaco, University of Maryland, Baltimore

County (876-78-212)

8:00 p.m. A method of computing Art invariants. (61) Patrick M. Gilmer, Louisiana State University, Baton

Rouge (876-57-113)

8:30 p.m. Topological invariants and integration. (62) Dan Freed, University of Texas, Austin (876-57-276)



Special Session on Riccati Equations and Transport Theory, II


7:00 p.m. Enskog theory for dense gases with intermolecular (63) potentials.

William Greenberg*, Lei Peng and Liu Rong, Virginia Polytech Institute & State University (876-82-243) (Sponsored by C. W. Patty)

7:30 p.m. Transient radiative transport via Green functions. (64) Kevin L. Kreider, University of Akron (876-82-140)

(Sponsored by Curtis B. Clemons)


8:30 p.m. The linearized Vlasov equation. I. (65) R. Glassey*, Indiana University, Bloomington, and J.

Schaeffer, Carnegie Mellon University (876-35-99)

9:00 p.m. The linearized Vlasov equation. II (66) R. Glassey, Indiana University, Bloomington, and J.

Schaeffer*, Carnegie Mellon University (876-35-252)


Special Session on Topology of Affine Hypersurfaces and Related Number Theory, II


7:00 p.m. Essential surjectivity of the (classical) crystalline (67) Dieudonne functor.

William Messing, University of Minnesota, Minneapolis (876-14-202)

7:30 p.m. Arithmetic geometry and abelian varieties. Preliminary (68) report.

P. Norman, University of Massachusetts, Amherst (876-14-261)

8:00 p.m. Complement of a hypersurface and number theory. (69) Preliminary report.

M. Tretkoff, Stevens Institute of Technology (876-14-265)

Special Session on Function Theory, II


7:00 p.m. On a result of Beurling. (70) James A. Jenkins, Washington University

(876-30-137)

7:30 p.m. Robin capacity and extrema/length. (71) Peter Duren*, University of Michigan, Ann Arbor, and

John Pfaltzgraff, University of North Carolina, Chapel Hill (876-30-165)

8:00 p.m. Distance to the boundary under univalent functions. (72) Preliminary report.

Roger W. Barnard, Texas Tech University, and Carl H. FitzGerald*, University of California at San Diego, La Jolla (876-30-201)

8:30 p.m. On a fixed area problem. Preliminary report. (73) Yuk Leung, University of Delaware (876-30-195)

Saturday, October 31

Special Session on Operator Theory and Operator Algebras, Ill

8:00 a.m.-10:50 a.m. Room 144, Russ Engineering Center

8:00 a.m. Ideals in nest algebras generated by a diagonal (74) element. Preliminary report.

John L. Orr and David R. Pitts*, University of Nebraska, Lincoln (876-4 7 -120)

8:30 a.m. Isomorphisms of some maximal triangular algebras. (75) John L. Orr, University of Nebraska, Lincoln

(876-47-121)

9:00 a.m. Operators and wavelets. Preliminary report. (76) Xingde Dal, University of North Carolina, Charlotte,

and David R. Larson*, Texas A&M University, College Station (876-47-211)

9:30 a.m. Full nest algebras. (77) Alan Hopenwasser*, University of Alabama,

Tuscaloosa, and Justin R. Peters, Iowa State University (876-47-78)

10:00 a.m. On the operator equations AX= Y. Preliminary report. (78) Robert L. Moore and Tavan T. Trent*, University of

Alabama, Tuscaloosa (876-47-94)

10:30 a.m. Operators with property A 1 (1 ). (79) Derek Westwood, Xavier University (876-47-79)

Special Session on Combinatorics and Graph Theory, Ill

8:00 a.m.-10:50 a.m. Room 67, Rike Hall

8:00 a.m. Cycle ideals for distance-regular graphs. (80) Aaron D. Meyerowitz, Florida Atlantic University

(876-05-123)

8:30 a.m. Perfect Neider block sequences. (81) D. A. Preece, University of Canterbury, England

(876-05-103) (Sponsored by Anthony B. Evans)

9:00 a.m. The strong Kronecker product. Preliminary report. (82) Warwick de Launey, Cryptomathematics Group,

Melbourne, Australia, and Jennifer Seberry*, University of Wollongong, Australia (876-05-28)

9:30 a.m. Difference sets in Abelian groups of p rank 2. (83) Surlnder Sehgal*, Ohio State University, Columbus,

and K. T. Arasu, Wright State University, Dayton (876-05-29)

10:00 a.m. Balanced ternary designs: An updated parameter list (84) and some recent results.

Elizabeth J. Billington, Auburn University, Auburn (876-05-02) (Sponsored by Neil H. Williams)

10:30 a.m. A large set of designs on vector spaces. (85) D. K. Ray-Chaudhuri*, Ohio State University,

Columbus, and Erin J. Schram, Shawnee Community College (876-05-152)


870

---------···················· ........................ _ .. __ ................. __ .. ________ . __ .................. _______ _ Program of the Sessions

Saturday, October 31 (cont'd)

Special Session on Groups and Geometries, II


8:00 a.m. Cyclic affine planes and Paley difference sets. (86) K. T. Arasu•, Wright State University, Dayton, and A.

PoH, Justus-Liebig University Giessen, Germany (876-51-38)

8:30 a.m. Elementary abelian 3-subgroups of the monster. (87) Preliminary report.

Thomas M. Richardson, Western Michigan University (876-20-131)

9:00 a.m. Recent results on finite subroups of Lie groups. (88) Robert L. Griess, Jr., University of Michigan, Ann

Arbor (876-20-233)

9:30 a.m. When does a building have a twin. Preliminary report. (89) Curtis Bennett, Ohio State University, Columbus

(876-17-51)

10:00 a.m. On 6-gona/ graphs with a triply transitive suborbit. (90) Preliminary report.

Manley Perkel*, Wright State University, and Cheryl Praeger, University of Western Australia (876-20-59)

10:30 a.m. Locally finite groups and minimal conditions. (91) Preliminary report.

Richard E. Phillips, Michigan State University · (876-20-57)

Special Session on Topology of Affine Hypersurfaces and Related Number Theory, Ill


8:00 a.m. Stratification of families of plane algebraic curves by (92) the link at infinity. Preliminary report.

S. Allen Broughton, Cleveland State University (876-11-259)

8:30 a.m. Modified integral closure conditions and (93) equisingularity. Preliminary report.

J. W. Bruce, University of Liverpool, and Donal O'Shea•, Mount Holyoke College (876-32-206)

9:00 a.m. Arithmetic algebraic geometry. (94) W. Niziol, University of Chicago (876-14-262)

9:30 a.m. The finiteness problem in rigid cohomology. (95) Preliminary report.

Richard Crew, University of Florida (876-14-189) (Sponsored by Steven Sperber)

10:00 a.m. Hypergeometric differential equations. (96) Alan C. Adolphson, Oklahoma State University

(876-11-250)

10:30 a.m. Weak completion and convex functions. Preliminary (97) report.

Daqing Wan, University of Nevada, Las Vegas (876-13-43)

Special Session on Set-Theoretic Topology, II


8:00 a.m. Some results in topology and set theory. Preliminary (98) report.

Amer Beslagic, George Mason University (876-54-255)

8:30 a.m. Tightness and normality in products of fans. (99) Preliminary report.

Gary Gruenhage•, Auburn University, Auburn, and K. Tamano, Yokohama National University, Japan (876-54-150)

9:00 a.m. Homogeneity properties of the graph of the Jones (1 00) additive function.

Robert W. Heath, University of Pittsburgh (876-54-149)

9:30 a.m. When are tri-quotient maps inductively perfect? Part I. (1 01) Preliminary report.

Myung Hyun Cho, Winfried Just and Howard H. Wicke*, Ohio University, Athens (876-54-199)

10:00 a.m. When are tri-quotient maps inductively perfect? Part II. (1 02) Preliminary report.

Winfried Just• and Howard H. Wicke, Ohio University, Athens (876-54-197)

10:30 a.m. Is there a Michael space in ZFC? (1 03) L. Brian Lawrence, George Mason University

(876-54-186) (Sponsored by Roni Levy)

Special Session on Function Theory, Ill

8:00 a.m.-10:50 a.m.

8:00 a.m. Informal Discussion

Room 145, Russ Engineering Center

8:30 a.m. A distortion theorem for circle packings. Preliminary (1 04) report.

Tomasz Dubejko and Kenneth Stephenson•, University of Tennessee, Knoxville (876-30-187)

9:00 a.m. On a theorem of Baemstein. Preliminary report. (1 05) Enrique Vlllamor, Florida International University

(876-30-117)

9:30 a.m. The support points of the unit ball in Bloch space. (1 06) Mario Bonk, lnstitut fur Analysis, Germany

(876-30-174)

10:00 a.m. Problems in function theory. Preliminary report. (107) Roger W. Barnard, Texas Tech University

(876-30-231)


Special Session on Hyperbolic Manifolds,


8:30 a.m. Constant mean curvature surfaces in hyperbolic (1 08) manifolds.

Rob Kusner, University of Michigan, Ann Arbor (876-53-271)

9:00 a.m. The characteristic submanifold in higher dimensions. (1 09) Preliminary report.

Peter Scott, University of Michigan, Ann Arbor (876-57-22)



9:30 a.m. Quasi-Fuchsian surfaces in hyperbolic knot (11 0) complements.

Colin Adams, Williams College, and Alan Reid*, University of Texas, Austin (876-57-154)

10:00 a.m. Two-generator Kleinian groups with the NSDC (111) property and commutator constructions. Preliminary

report. Jane Gilman, Rutgers University, Newark (876-30-175)

10:30 a.m. Quasifuchsian subgroups of Kleinian groups. {112) Preliminary report.

James W. Anderson, Rice University (876-30-192)

Special Session on Quantum Groups and Regular Algebras, II


8:30a.m. Zonal spherical functions on quantum homogenous (113) spaces.

Naihuan Jing, University of Kansas (876-22-48)

9:00 a.m. Bases for quantum Demazure modules. {114) V. Lakshmibai, Northeastern University (876-22-158)

9:30 a.m. Koszul duality for operads. Preliminary report. (115) V. Ginzburg, Russian Academy of Sciences, USSR,

and M. Kapranov*, Northwestern University (876-17-241)

10:00 a.m. Representations of the quantized algebras of (116) functions.

Van Soibelman, Harvard University (876-20-264) (Sponsored by Timothy J. Hodges)


Special Session on Differential and Integral Equations, II


8:30 a.m. Traveling waves for a generalized discrete Fisher's {117) equation. Preliminary report.

Bill Hudson and Bertram Zinner*, Auburn University, Auburn (876-34-41) (Sponsored by Johnny L. Henderson)

9:00 a.m. Finite extinction time for nonlinear parabolic Neumann {118) boundary value problem.

Mark Edwin Oxley* and Alan V. Lair, Air Force Institute of Technology (876-35-21 0)

9:30 a.m. Bursting oscillations in excitable membrane models. (119) David Terman, Ohio State University, Columbus

(876-92-31)

10:00 a.m. Multiplicity results for several classes of (120) boundary-value problems.

Philip Korman* and Tlancheng Ouyang, University of Cincinnati (876-34-1 06)

10:30 a.m. Optimal harvesting-coefficient control of steady-state (121) prey-predator diffusive Volte"a-Lotka systems.

Anthony W. Leung, University of Cincinnati (876-35-65)

Special Session on Knots and Topological Quantum Field Theory, Ill


8:30 a.m. Knots, cablings and quantum field theory. (122) Christopher King, Northeastern University

(876-81-47)

9:00 a.m. Latticized Abelian Chern-Simons theory and knot (123) invariants on Riemann surfaces.

David Eliezer*, Lawrence Livermore National Laboratory, Livermore, California, G. W. Semenoff and M. Bergeron, University of British Columbia (876-57-268) (Sponsored by Louis H. Kauffman)

9:30a.m. Quantum gravity and the Jones polynomial. (124) Jorge Pullin, University of Utah (876-83-07)

10:00 a.m. Global gravitational anomaly-free topological field (125) theory.

Randy A. Baadhio, University of California, Berkeley (876-81-45) (Sponsored by Louis H. Kauffman)

10:30 a.m. Triangulations, categories and topological field theory. (126) Ruth J. Lawrence, Harvard University (876-57-235)

(Sponsored by Louis H. Kauffman)

Special Session on Riccati Equations and Transport Theory, Ill


8:30 a.m. Upwind finite difference discretization of (127) Boltzmann-Poisson system of electron transport in

semiconductor devices. Emad Fatemi*, University of Minnesota, Minneapolis, and Farouk Odeh, IBM T. J. Watson Research Center, Yorktown Heights, New York (876-65-98)

9:00 a.m. Particle methods for periodic Vlasov-Poisson systems. (128) Preliminary report.

Harold D. Victory, Jr., Texas Tech University (876-82-220) (Sponsored by Roger W. Barnard)


10:00 a.m. Asymptotically accurate models of semiconductors. (129) Patrick S. Hagan•, Los Alamos National Laboratory,

Luis Reyna, IBM T. J. Watson Research Center, Yorktown Heights, New York, Robert W. Cox, Indiana University-Purdue University, Indianapolis, and Barbara A. Wagner, University of Arizona (876-65-71)

10:30 a.m. Computing steady states of quantum mechanical (130) systems via Bloch-type equations.

Christian Ringhofer, Arizona State University (876-47-274)

Session on Graph Theory, II


8:45 a.m. A standard mathematical proof of the four color (131) problem.

Joseph E. Brierly, United States Army Tank-Automotive Command, Warren, Michigan (876-05-273)


872

······-····--·············--·-··················-·····------------···-········-·-····························· ................................................ ..



9:00 a.m. Homomorphism and u-polynomials. Preliminary report. (132) Richard Alan Gillman, Valparaiso University

(876-05-15) (Sponsored by Patrick J. Sullivan)

9:15 a.m. The Steiner system S(5,8,24) constructed from dual (133) affine planes.

Golala A. Kadir, Yarmouk University, Jordan (876-05-173) (Sponsored by Andy R. Magid)

9:30 a.m. Strongly regular Cayley graphs with >. - p. = -1. (134) K. T. Arasu•, Wright State University, D. Jungnickel,

A. Pott, Justus-Liebig University Giessen, Germany, and S. L. Ma, National University of Singapore (876-05-30)

Session on Algebra


9:45 a.m. Divisible analogs of Yamamoto's theorems on (135) difference sets.

K. T. Arasu and Qing Xiang•, Wright State University, Dayton (876-05-40)

1 0:00 a.m. General Selmer groups and critical values of Heeke (136) L-functions.

Li Guo, Ohio State University, Columbus (876-14-111)

10:15 a.m. The minimal angle of a linear transformation. (137) Javad Habibi, Muskingum College (876-15-242)

1 0:30 a.m. On the endomorphism algebra of the Coxeter complex (138) of type A.

Ell A. Siegel, Loyola University of Chicago (876-16-1 04)

Invited Address

11:00 a.m.-11:50 a.m. Auditorium, Medical Sciences Building

(139) From knots to quantum field theory and back. Louis H. Kauffman, University of Illinois, Chicago (876-81-200)

Invited Address

1 :30 p.m.-2:20 p.m.

(140) Symmetry and chaos.

Auditorium, Medical Sciences Building

Martin Golubltsky, University of Houston, Downtown (876-34-126)

Special Session on Combinatorics and Graphy Theory, IV


2:30 p.m. Factoring distance matrix polynomials of graphs. (141) Karen L. Collins, Wesleyan University (876-05-54)

3:00 p.m. The graphs of thin type. (142) Paul Terwilliger, University of Wisconsin, Madison

(876-05-91)

3:30 p.m. Eigenvalues and eigenvectors for buckyballs and (143) multilevel circulants.

Shyi-Long Lee, Yeung-Long Luo, Academia Sinica, People's Republic of China, Bruce E. Sagan•, Michigan State University, and Yeong-Nan Yeh, Academia Sinica, People's Republic of China (876-05-53)

4:00 p.m. Chordal completions of grids and planar graphs. (144) Fan R. K. Chung•, Bellcore, Morristown, New Jersey,

and David Mumford, Harvard University (876-05-101)

4:30 p.m. On Hadwiger's graph coloring conjecture. (145) Neil Robertson, Ohio State University, Columbus

(876-05-275)

5:00 p.m. On the Steiner medians of trees. Preliminary report. (146) Lowell W. Beineke*, Indiana University-Purdue

University, Ft. Wayne, Ortrud R. Oellerman, University of Natal, Republic of South Africa, and Raymond E. Pippert, Indiana University-Purdue University, Ft. Wayne (876-05-151)

5:30 p.m. A generalization of Dirac's result for balanced k-partite (147) graphs.

Ralph Faudree, Memphis State University, Ronald J. Gould, Emory University, MichaelS. Jacobson•, University of Louisville, and Linda Lesniak, Drew University (876-05-86)

6:00 p.m. Structure of the Hoffman-Singleton graph. Preliminary (148) report.

Allen J. Schwenk, Western Michigan University (876-05-198)

6:30 p.m. Eigenvalues and separation in graphs. (149) Zevi Miller• and Dan Pritikin, Miami University

(876-05-92)

Special Session on Hyperbolic Manifolds, II


3:00 p.m. Bending of hyperbolic manifolds along pleated (150) hypersurfaces.

Boris Apanasov, University of Oklahoma (876-57 -193)

3:30 p.m. Dirichlet points, Garnett points, and the geometry of (151) infinite ends of hyperbolic surfaces.

Andrew Haas, University of Connecticut, Storrs (876-30-209)

4:00 p.m. Strong limits of geometrically finite hyperbolic (152) 3-manifolds. Preliminary report.

R. D. Canary• andY. N. Minsky, University of Michigan, Ann Arbor (876-57-216)

4:30 p.m. Harmonic maps and Thurston's ending lamination (153) conjecture.

Yair N. Minsky, University of Michigan, Ann Arbor (876-53-217)



5:00 p.m. Hyperbolic volume and mod p homology. (154) Marc Culler and Peter B. Shalen*, University of

Illinois, Chicago (876-57-272)

5:30 p.m. A fundamental domain for the Teichmuller modular (155) group.

Bernard Maskit, State University of New York, Stony Brook (876-30-223)

6:00 p.m. Realizability of automorphisms of 3-manifo/d groups (156) and deformation spaces of Kleinian groups.

Richard D. Canary, University of Michigan, Ann Arbor, and Darryl McCullough*, University of Oklahoma (876-20-224)

6:30 p.m. Polynomial iteration and covering for Kleinian groups. (157) F. W. Gehring*, University of Michigan, Ann Arbor,

and G. J. Martin, University of Auckland, New Zealand (876-30-227)

Special Session on Quantum Groups and Regular Algebras, Ill


3:00 p.m. Line modules over the 5-dimensiona/ Sklyanin algebra. (158) Joanna M. Staniszkls, University of Washington

(876-16-263)

3:30 p.m. When does the FRT construction yield a deformation (159) of the matrix bia/gebra?

Samuel D. Schack, State University of New York, Buffalo (876-16-253)

4:00 p.m. Construction of quantum groups from Belavin-Drinfel'd (160) infinitesimals.

Anthony Giaquinto, University of Michigan, Ann Arbor (876-16-225)

4:30 p.m. Quantum Weyl algebras associated to skew (161) polynomial rinds.

James J. Zhang, University of Michigan, Ann Arbor (876-16-222)

5:00 p.m. Prime factor algebras of the coordinate ring of (162) quantum matrices.

K. R. Goodearl, University of California, Santa Barbara, and E. S. Letzter*, Texas A&M University, College Station (876-16-226)

Special Session on Operator Theory and Operator Algebras, IV


3:00 p.m. Finite dimensional operator theory: A new approach. (163) Preliminary report.

Sheldon Axler, Michigan State University (876-15-97)

3:30 p.m. Finding the norm of a Schur multiplier. (164) Carl C. Cowen, Purdue University, West Lafayette

(876-15-74)

4:00 p.m. Spectral theorem for unbounded groups of operators. (165) Preliminary report.

Khrlsto Boyadzhiev*, Ohio Northern University, and Ralph delaubenfels, Ohio University, Athens (876-47-83)

4:30 p.m. Analytic reproducing kernels and factorization. (166) Preliminary report.

Paul J. McGuire*, Gregory T. Adams, Bucknell University, John Froelich and Vern I. Paulsen, University of Houston, University Park (876-47-76)

5:00 p.m. Free convolution of measures with compact support. (167) Preliminary report.

Hari Bercovici*, Indiana University, Bloomington, and Dan Voiculescu, University of California, Berkeley (876-46-167)

5:30 p.m. Reducing subspaces for composition operators on £2. (168) Alan Lambert, University of North Carolina, Charlotte

(876-47-80)

6:00 p.m. Unbounded holomorphic functional calculus. (169) Ralph deLaubenfels, Ohio University, Athens

(876-47-26)

Special Session on Groups and Geometries, Ill


3:00 p.m. Non-finitary, locally finite, simple groups. Preliminary (170) report.

Ulrich Meierfrankenfeld, Michigan State University (876-20-32)

3:30 p.m. Fixed point theorems for group actions on acyclic (171) complexes. Preliminary report.

Yoav Segev, Ben-Gurion University, Israel (876-4 7 -257)

4:00 p.m. On Tilde geometries and geometries related to the (172) Petersen graph. Preliminary report.

A. A. Ivanov, Institute for System Studies, USSR (876-20-52) (Sponsored by Daniel E. Frohardt)

4:30 p.m. Fixed point ratios in exceptional groups of Lie type. (173) Preliminary report.

Daniel Frohardt and Kay Magaard*, Wayne State University (876-20-16)

5:00p.m. Braid group action via GL(n, q) and U(n, q). (174) H. Volklein, University of Florida (876-20-17)

(Sponsored by Daniel E. Frohardt)

5:30 p.m. On the uniqueness of the G2 algebra in characteristic (175) 2.

Daniel Frohardt, Wayne State University, and Peter Johnson*, Kansas State University (876-20-134)

6:00 p.m. Near failure of factorization. Preliminary report. (176) Alberto L. Delgado, Kansas State University

(876-20-239) (Sponsored by Daniel E. Frohardt)

6:30 p.m. Diagram automorphisms and outer automorphisms. (177) Preliminary report.

Antonio Pasini, University of Siena, Italy (876-20-50)

7:00 p.m. A geometry for M 24 •

(178) Richard Margolin, The First Boston Corporation, New York, New York (876-20-244)

Special Session on Control Theory and Partial Differential Equations


3:00 p.m. Controlling quantum-mechanical systems. (179) Katherine Kime, Case Western Reserve University

(876-93-69)


874

·~--- ......................................... . ._, _______________ .. _______ ........ _ .. _____ _



3:30 p.m. Open-loop and feedback optimal controls for (180) heat-diffusion equations. Preliminary report.

Boris Mordukhovich, Wayne State University (876-49-207)

4:00 p.m. Optimal control problems for PDE with boundary (181) conditions of anti-periodic type.

N. H. Pavel, Ohio University, Athens (876-49-208)


5:00 p.m. Computational methods in shape optimization for the (182) Navier-Stokes equations.

Max D. Gunzburger, Virginia Polytech Institute & State University (876-65-122)

5:30 p.m. ConseNation laws in optimization of shape. (183) Vadim Komkov, Air Force Institute of Technology

(876-93-70) (Sponsored by Alan V. Lair)

6:00p.m. Nonsmooth analysis and shape optimization forpde's. (184) Srdjan Stojanovlc, University of Cincinnati

(876-49-163)

Special Session on Differential and Integral Equations, Ill


3:00 p.m. Stokes multipliers for a certain third order differential (185) equation in the vicinity of an irregular singular point.

T. K. Puttaswamy, Ball State University (876-34-63)

3:30 p.m. Sign properties of Green's functions for a family of two (186) point boundary value problems.

Paul W. Eloe*, University of Dayton, and Jerry Ridenhour, Utah State University (876-34-49)

4:00 p.m. Boundary value problems for Lipschitz equations with (187) coefficients bounded in Lr.

Johnny Henderson, Auburn University, Auburn (876-34-04)

4:30 p.m. The Cauchy function for an nth order difference (188) equation.

Allan Peterson, University of Nebraska, Lincoln (876-34-25)

5:00 p.m. Averaging techniques in oscillation theory. Preliminary (189) report.

Lynn Erbe, University of Alberta (876-34-64)

5:30 p.m. On a singular diffusion equation. (190) Hongfei Zhang, Ball State University (876-34-258)

Special Session on Knots and Topological Quantum Field Theory, IV


3:00 p.m. Diagrammatic invariants of knotted cuNes and (191) surfaces.

J. Scott Carter*, University of South Alabama, and Masahlco Saito, UniVersity of Texas, Austin (876-57-218)

3:30 p.m. Smoothings of higher dimensional knots and remarks (192) on simplex equations.

J. Scott Carter, University of South Alabama, and Masahico Saito*, University of Texas, Austin (876-57 -185)

4:00 p.m. 2-categories and 2-knots. (193) John E. Fischer, Jr., Yale University (876-57-14)

(Sponsored by Louis H. Kauffman)

4:30 p.m. Multidimensional integrability, D-algebras, and the (194) D-simplex equations.

Frank Nljhoff, Clarkson University (876-16-13)

5:00 p.m. Knots, tangles and electrical networks. (195) Jay R. Goldman*, University of Minnesota,

Minneapolis, and Louis H. Kauffman, University of Illinois, Chicago (876-57-205)


Special Session on Riccati Equations and Transport Theory, IV


3:00 p.m. Convexity and Riccati flows. Preliminary report. (196) James S. Wolper, Idaho State University

(876-58-251)

3:30 p.m. Geometry of Riccati like equations. Preliminary report. (197) Clyde Martin*, Texas Tech University, and Victor

Shubov, Texas Technical University (876-93-144)


4:30 p.m. Algebraic Riccati equations with operator coefficients. (198) Leiba Rodman, College of William and Mary

(876-47-182)

5:00 p.m. Coupled Riccati equations in differential games. (199) H. Abou-Kandil, Ecole Normale Superieure de

Cachan, France (876-34-72) (Sponsored by Hendrik J. Kuiper)


6:00 p.m. PreseNing positive definiteness in the numerical (200) solution of Riccati and Lyapunov equations.

Luca Dieci, Georgia Institute of Technology (876-34-267)

6:30 p.m. The decomposition method and applications to (201) nonlinear transport and Riccati equation.

George Adomian, General Analytics Incorporated, Athens, Georgia (876-35-96)

Special Session on Topology of Affine Hypersurfaces and Related Number Theory, IV


3:00 p.m. Higher multiplicities and almost free divisors. (202) James Damon, University of North Carolina, Chapel

Hill (876-32-105)

3:30 p.m. Aspherical three-arrangements and cohomology of (203) groups.

Richard Randell, University of Iowa (876-14-75)

4:00 p.m. Coxeter arrangements are hereditarily free. (204) Peter Orlik* and Hiroaki Terao, University of

Wisconsin, Madison (876-14-10)



4:30 p.m. A simple hypergeometric system. Preliminary report. (205) Jean-Luc Brylinskl, Pennsylvania State University,

University Park (876-14-132)

5:00 p.m. On Kouchnirenko's theorem. (206) Pierrette Cassou-Nogues, University of Bordeaux I,

France (876-55-203) (Sponsored by Steven Sperber)

5:30 p.m. Koosterman sums as algebraic integers. Preliminary (207) report.

Benji N. Fisher, Columbia University (876-11-133)

6:00 p.m. Fermat equations and families. (208) David M. Goss, Ohio State University, Columbus

(876-11-228)

6:30 p.m. Local densities as Radon-Nikodym derivatives. (209) David Hayes, University of Massachusetts, Amherst

(876-11-155)

Special Session on Set-Theoretic Topology, Ill


3:00 p.m. Product spaces which are n-irresolvable. (210) Amer Beslagic and Ronnie Levy*, George Mason

University (876-54-139)

3:30 p.m. Normal thin-tall scattered spaces. (211) Peter J. Nyikos, University of South Carolina,

Columbia (876-54-196) (Sponsored by Robert M. Stephenson)

4:00 p.m. A locally compact thin scattered space homeomorphic (212) to each uncountable closed subspace.

Judy Roitman, University of Kansas (876-54-67)

4:30 p.m. First level Baire isomorphisms and dimension. (213) Dmitri B. Shakhmatov, Miami University (876-54-245)

5:00p.m. Ultrafilters and chains from w tow. (214) Saharon Shelah, Hebrew University, Israel, and Juris

Steprans*, York University (876-54-172)

5:30 p.m. Totally antisymmetric function. (215) Krzysztof Ciesielski, West Virginia University

(876-26-56)


Special Session on Function Theory, IV


3:00 p.m. Sobolev mappings with integrable dilation. Preliminary (216) report.

Juha Heinonen• and Pekka Koskela, University of Michigan, Ann Arbor (876-30-214)

3:30 p.m. The degree of regularity of a quasiconformal mapping. (217) Preliminary report.

Pekka Koskela, University of Michigan, Ann Arbor (876-30-213) (Sponsored by Juha M. Heinonen)

4:00 p.m. Sobolev capacity and Poincare domains. (218) David A. Herron*, University of Cincinnati, and Pekka

Koskela, University of Jyvaskyla, Finland (876-30-148)

4:30 p.m. Extension of boundary maps for cylindrical and slit (219) domains.

Manouchehr Ghamsari, University of Cincinnati (876-30-146)

5:00 p.m. Monotonicity properties of mappings with positive (220) Jacobian. Preliminary report.

Juan J. Manfredi, University of Pittsburgh (876-30-215)

5:30 p.m. Asymptotic values and the growth of analytic functions (221) in spiral domains.

J. E. Brennan, University of Kentucky (876-30-164)

6:00 p.m. The radial growth of entire functions with density (222) conditions. Preliminary report.

John Rossi, Virginia Polytechnic Institute and State University (876-30-124) (Sponsored by C. D. Minda)

Session on Analysis


3:00 p.m. Multipliers of families of Cauchy-Stieltjes transforms. (223) R. A. Hibschweiler•, University of New Hampshire,

and T. H. MacGregor, State University of New York, Albany (876-30-77)

3:15p.m. An algebraic description of positive, holomorphic line (224) bundles over flat manifolds.

N. Michelacakis, University College of London, England (876-32-171)

3:30 p.m. On a class of abstract Volterra equations. (225) Sergiu Aizicovici and Yimin Ding*, Ohio University,

Athens (876-45-93)

3:45 p.m. Equivalence of subnormal operators. Preliminary (226) report.

Zhijian Qlu, Virginia Polytechnic Institute and State University (876-45-37)

4:00 p.m. Relative K-cycles and elliptic boundary conditions. (227) Guihua Gong, University of Toronto (876-58-36)

4:15p.m. Non-linear evolution equations with exponential (228) bounding. Preliminary report.

David Gurney, Southeastern Louisiana University (876-47-176)

4:30 p.m. Composition operators on analytic Lipschitz spaces. (229) Kevin M. Madigan, State University of New York,

Albany (876-47-11)

4:45p.m. C*-algebras of weighted composition operators and (230) hyperbolicity of linear extensions of dynamical

systems. Yuri Latushkin, University of Missouri, Columbia (876-47-219)

5:00 p.m. Nonlinear control theory. (231) John Jones, Jr., Air Force Institute of Technology

(876-49-60)

5:15p.m. a-Nagata spaces are linearly iV/1•

(232) M. Jeanne Harris, Fairmont State College (876-54-181)

5:30 p.m. Symmetrizable frame quasi-uniformities. Preliminary (233) report.

Peter Fletcher, Virginia Polytechnic Institute, Worthen Hunsaker, Southern Illinois University, and William Lindgren*, Slippery Rock University of Pennsylvania (876-54-183)

5:45p.m. Topological complexes and finite spaces in computer (234) sciences.

Eflm Khallmsky, Dayton, Ohio (876-54-03)


---·--·--····-·-·······-·-··-·-··--·--·---........... -... , ................. .,_ ............ _. __ , ........... _ ............................ _______ ............................................................................................................................................................................................ .

876


Sunday, November 1

Special Session on Combinatorics and Graph Theory, V


8:30 a.m. Every connected bridgeless graph has a fair, strong (235) orientation. Preliminary report.

Joseph Straight*, State University of New York, College at Fredonia, and Carsten Thommasen, Technical University of Denmark (876-05-116)

9:00 a.m. Principal common divisors of graphs. (236) Gary Chartrand*, Western Michigan University,

Wayne Goddard, University of Pennsylvania, Michael A. Henning, University of Natal, Saba Farrokh, Western Michigan University, and Henda Swart, University of Natal (876-05-85)

9:30 a.m. Modular interval graphs. Preliminary report. (237) F. R. McMorris* and Chi Wang, University of

Louisville (876-05-118)

10:00 a.m. Rainbow coloring of the cube. (238) Ralph Faudree, Richard Schelp, Memphis State

University, Andras Gyarfas, Hungarian Academy of Science, and Linda Lesniak*, Drew University (876-05-35)

1 0:30 a.m. Bandwidth of Husimi trees. (239) Margaret L. Weaver, Eastern Illinois University,

and Douglas B. West*, University of Illinois, Urbana-Champaign (876-05-18) (Sponsored by Terry A. McKee)

Special Session on Hyperbolic Manifolds, Ill


9:00 a.m. Automorphic forms for subgroups of the modular (240) group.

Hershel M. Farkas, The Hebrew University, Israel, and Irwin Kra*, State University of New York, Stony Brook (876-30-232)

9:30 a.m. Oriented G-bordism in dimension two. Preliminary (241) report.

Andy Miller, University of Oklahoma (876-57-270)

10:00 a.m. Simple geodesics in hyperbolic 3-manifolds. (242) Colin Adams, Williams College, Joel Hass*,

University of California, Davis, and Peter Scott, University of Michigan, Ann Arbor (876-57-269)

10:30 a.m. On the v-invariant of some hyperbolic 3-manifolds. (243) Mingqing Ouyang, Ohio State University, Columbus

(876-57-1 08)

Special Session on Quantum Groups and Regular Algebras, IV


9:00a.m. Some 3-dimensional skew polynomial rings. (244) Preliminary report.

Allen D. Bell*, University of Wisconsin, Milwaukee, and S. Paul Smith, University of Washington (876-16-1 07)

9:30 a.m. Differential operators on projective nodes. (245) David J. Kausch, University of Michigan, Ann Arbor

(876-16-168)

10:00 a.m. The co-opposite biproduct, graded Hopf algebras, and (246) Schur's double centralizer theorem.

Davida Fischman* and Susan Montgomery, University of Southern California (876-16-06)

10:30 a.m. Irreducible representations of quantized enveloping (247) algebras constructed from generalized adjoint actions.

David E. Radford, University of Illinois, Chicago (876-16-260)

Special Session on Operator Theory and Operator Algebras, V


9:00 a.m. On the structure of projective Hilbert modules over (248) operator algebras. Preliminary report.

PaulS. Muhly*, University of Iowa, and Baruch Solei, Technion-Israel Institute of Technology, Israel (876-47-55)

9:30 a.m. The soft torus. (249) Ruy Exel, University of New Mexico (876-46-19)

(Sponsored by Frank L. Gilfeather)

1 0:00 a.m. Hochschild cohomology for type II1 factors. (250) Florin Pop*, University of New Mexico, and Roger R.

Smith, Texas A&M University, College Station (876-46-20) (Sponsored by Frank L. Gilfeather)

1 0:30 a.m. Automorphism invariance of the operator-valued (251) Poisson transform.

Raul E. Curto, University of Iowa (876-47-82)

Special Session on Differential and Integral Equations, IV


9:00 a.m. Equivariant degree theory and bifurcation theorems for (252) functional differential equations with symmetries.

Wieslaw Krawcewicz, University of Alberta (876-34-254)

9:30 a.m. Boundedness in functional differential equations. (253) Bo Zhang, Fayetteveille State University (876-34-44)

1 0:00 a.m. Stable periodic solutions in infinite delay systems. (254) Preliminary report.

Roger H. Hering, University of Missouri, Rolla (876-34-61)



Special Session on Knots and Topological Quantum Field Theory, V

9:00 a.m.-11 :20 a.m. Room 58, Rike Hall

9:00 a.m. Topological reciprocity laws and quantum field (255) theories.

Jean-Luc Brylinskl, Pennsylvania State University, University Park, and Dennis A. McLaughlin*, Princeton University (876-22-138)

9:30 a.m. On the Turaev-Viro invariants of lens spaces. (256) Kunio Murasugi*, University of Toronto, and

Shujl Yamada, Kyoto Sangyo University, Japan (876-57 -153)

10:00 a.m. Vassiliev-Gusarov skein modules of3-manifolds. (257) J6zef H. Przytycki, University of California, Riverside

(876-57-141)

10:30 a.m. Polygonal knots. (258) Kenneth C. Millett, University of California, Santa

Barbara (876-57-46)

11:00 a.m. The massive supersymmetric Sine-Gordon quantum (259) field theory 1: Construction of a 8-summable Fredholm

module. Preliminary report. William A. Wood, Indiana University, Bloomington (876-81-115)

Special Session on Riccati Equations and Transport Theory, V


9:00 a.m. Global solutions to operator Riccati equations with (260) unbounded coefficients.

Hendrik J. Kuiper, Arizona State University (876-47-95)

9:30 a.m. Operator Riccati equations for linear quadratic optimal (261) control and differential game.

Kazufumi Ito, North Carolina State University (876-34-266)

10:00 a.m. Riccati equations arising from boundary and point (262) control problems.

Irena Lasiecka, University of Virginia (876-49-229)

10:30 a.m. A multi-level technique for the enumerical solution of (263) infinite dimensional operator Lyapunov and algebraic

Riccati equations. I. G. Rosen* and Chunming Wang, University of California, Los Angeles (876-65-230) (Sponsored by Hendrik J. Kuiper)

Special Session on Topology of Affine Hypersurfaces and Related Number Theory, V


9:00 a.m. On p-adic hypergeometric functions and formal group (264) laws. Preliminary report.

Paul Thomas Young, College of Charleston (876-11-190)

9:30 a.m. A p-adic stationary phase formula. Preliminary report. (265) Diane Meuser, Boston University (876-11-191)

10:00 a.m. The computation of lgusa local zeta functions. (266) Margaret M. Robinson, Mount Holyoke College

(876-11-249) 10:30 a.m. Distribution of weights for certain mixed sums.

(267) Alan Adolphson, Oklahoma State University, and Steven Sperber*, University of Minnesota, Minneapolis (876-11-204)

Special Session on Set-Theoretic Topology, IV


9:00 a.m. Local monotone properties. Preliminary report. (268) Robert E. Buck, Slippery Rock University of

Pennsylvania (876-54-66) 9:30 a.m. On the sigma-algebra of measurable rectangles.

(269) Arnold W. Miller, University of Wisconsin, Madison (876-04-240)

10:00 a.m. Non-metrizable perfectly normal non-Archimedean (270) spaces. Preliminary report.

Franklin D. Tall, University of Toronto (876-54-119) 10:30 a.m. A countably compact, separable space that is not

(271) absolutely countably compact. Preliminary report. Jerry E. Vaughan, University of North Carolina, Greensboro (876-54-221)

Special Session on Function Theory, V


9:00 a.m. The hyperbolic metric in convex regions. (272) Seong-A Kim and David Minda*, University of

Cincinnati (876-30-147) 9:30 a.m. Embeddings of trees in the hyperbolic disk.

(273) Joel M. Cohen, University of Maryland, College Park, and Flavia Colonna*, George Mason University (876-30-1 09)

10:00 a.m. Superharmonic extension and harmonic (274) approximation.

Stephen J. Gardiner, McGill University (876-31-188) 10:30 a.m. Functions of bounded index in several complex

(275) variables. Preliminary report. John T. Anderson* and Mohammad Salmassi, College of the Holy Cross (876-32-73)

Andy R. Magid Associate Secretary Norman, Oklahoma


Combined Membership

List 1992-1993

The Combined Membership List ( CML) is a comprehensive directory of the membership of the American Mathematical Society, the Mathematical Association of America, and the Society for Industrial and Applied Mathematics.

The CML is an invaluable reference for keeping in touch with colleagues and for making connections in the mathematical sciences community in the United States and abroad.

There are two lists of individual members. The first is a complete alphabetical list of all members in all three organizations. For each member, the CML provides his or her address, title, department, institution, and telephone number (if available), electronic address (if indicated), and also indicates membership in the three participating societies. The second is a list of individual members according to their geographic locations. In addition, the CML lists academic, institutional, and corporate members of the three participating societies, providing addresses and telephone numbers of mathematical sciences departments.

1991 Mathematics Subject Classification: 00 ISBN 0-8218-0178-3, 608 pages (softcover), 1992 Individual member $30, List price $50, Institutional member $40 Your ordering code is CMU92NA

All prices subject to change. Prepayment required. Order from: American Mathematical Society, P.O. Box 1571, Annex Station, Providence, Rl 02901-15 71 , or call toll free 800-321-4AMS in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada, please include 7% GST.

Program

The eight-hundred-and-seventy-seventh meeting of the American Mathematical Society (AMS) will be held at the University of Southern California (USC) on Saturday, November 7, and Sunday, November 8, 1992. This meeting will take place concurrently with a meeting of the Southern California section of the Mathematical Association of America (MAA). The invited addresses will be held in the Seeley G. Mudd Building, one block east of the Denny Building, and most other sessions will be held in Kaprielian Hall, north across 36th Place from the Denny Building.

Invited Addresses

By invitation of the Western Section Program Committee, there will be three invited addresses. The speakers, their affiliations, and the titles of their talks are:

Robert K. Lazarsfeld, University of California, Los Angeles, Syzygies of algebraic varieties.

Tomasz S. Mrowka, California Institute of Technology, Gauge theory and embedded surfaces.

Thomas C. Sideris, University of California, Santa Barbara, The life span of 3D compressible and incompressible flow.

Special Sessions

By invitation of the same committee, there will be eight special sessions of selected twenty-minute papers. The special session on Finite and algebraic groups is dedicated to the memory of Daniel Gorenstein. The topics of these sessions, and the names and affiliations of the organizers, are as follows:

Finite and algebraic groups, Michael Aschbacher, California Institute of Technology, Robert M. Guralnick, University of Southern California, and David B. Wales, California Institute of Technology.

Spectral Geometry, Robert Brooks, University of Southern California, and Peter A. Perry, University of Kentucky.

Hyperbolic geometry, Francis Bonahon and Robert Meyerhoff, University of Southern California.

Algebraic and complex geometry, Lawrence Ein, University of Illinois at Chicago.

Dynamical systems, Eugene Gutkin and Nicolai T. A. Haydan, University of Southern California.

Los Angeles, California University of Southern California November 7-8, 1992

Gauge theory and four manifolds, Tomasz S. Mrowka. Topics in geometry and physics, Robert C. Penner,

University of Southern California, and Edward Witten, School of Natural Science, Institute for Advanced Studies.

Nonlinear hyperbolic PDE and fluid mechanics, Gustavo Ponce, University of California, Santa Barbara, and Thomas C. Sideris.

Abstracts for consideration for these sessions should have been submitted by the July 13, 1992 deadline. This deadline was previously published in the Calendar of AMS Meetings and Conferences and in the Invited Speakers and Special Sessions section of the Notices.

Contributed Papers

There will also be sessions for contributed ten-minute papers. Abstracts for consideration of these sessions should have been submitted by the August 3, 1992 deadline previously published in the Calendar of AMS Meetings and Conferences. Late papers cannot be accommodated.

Registration

The meeting registration desk will be located in the lobby of the Denny Research Center, on the southeast comer of Vermont Avenue and 36th Place, and will be open on Saturday, November 7, from 7:30 a.m. to 5:00 p.m. and on Sunday, November 8, from 7:30a.m. to noon. The registration fees are $30 for members of the AMS and the MAA, $45 for nonmembers, and $10 for students or unemployed mathematicians.

Other Organizations

The Southern California Section of the MAA will meet on Saturday, November 7. The invited speakers, their affiliations and the titles of their talks are:

W. A. J. Luxemburg, California Institute of Technology, A theory of infinitesimals: The legacy of Abraham Robinson.

Jerrold E. Marsden, University of California, Berkeley, Revitalization of classical mechanics.

Harris S. Schultz, California State University, Fullerton (the 1992 Southern California MAA Section Distinguished


·····-·-··-·· ..... -... -.. ·--·-····--··············-·· .. ·---·············-···-···--··-···"·"···-·····-··········---------··•"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""'''''''''''''''''"''''''''''''''''"''''''''''''''''''''''''''''''''''''"''''''''''''''''''''''''''

Meetings

Teacher), Math explorations (Yes, real research!) at the pre-college level.

There will be a luncheon at noon at the Upstairs Restaurant in the Dining Commons; the cost is $11 per person. Keith J. Devlin, Colby College, will give the luncheon adddress: What kind of functions arise from an English sentence? Tickets for this luncheon must be purchased in advance by October 30. Reservations may be made by sending a check for $11 for each ticket payable to the Southern California Section, MAA to: Barbara J. Beechler, Department of Mathematics, Pitzer College, Claremont, CA 91711.

Accommodations

Rooms have been blocked for participants at the University Hilton located across from the university on Figueroa Street at Exposition Boulevard. Participants should make their own reservations directly with the hotel, and participation in the AMS-MAA meeting should be mentioned to receive the special rates quoted below. The AMS is not responsible for rate changes or the quality of the accommodations offered by these hotels/motels.

University Hilton 3540 South Figueroa Street Los Angeles, CA 90007 Telephone: 213-748-4141

Single $70

800-244-7331 (within California) 800-872-1104 (outside California)

Double $75

Food Service

On-campus facilities include the Commons Cafeteria, located in the Commons Building, open on Saturday from 9:00 a.m. to 5:00 p.m.; Carl's Junior, located south of the Commons Building, open on Saturday from 9:00 a.m. to 5:00 p.m. and on Sunday from 11:00 a.m. to 5:00p.m.; and Cafe 84, located in the Frank L. King Hall, open on Saturday from 11:00 a.m to 8:00p.m., and on Sunday from 11:00 a.m. to 11:00 p.m. Cafe 84 has a soup, sandwich, and salad bar, as well as a grill, pizza, pasta, pastries, and ice cream. In addition to the

restaurant in the University Hilton, several chains have outlets on Figueroa Street.

Parking

Parking permits are required and cost $5 per day. Participants should park in Parking Structure A and note that the west end of Structure A is closest to the registration area. There are stairwells at each corner of the building, although the only elevator in Structure A is at the northeast corner.

Travel

The campus is located about four miles south of downtown Los Angeles near the intersection of the Santa Monica Freeway (10) and the Harbor Freeway (110). Shuttle service is readily available from the Los Angeles International Airport to the campus. The fare for the "Super Shuttle'' (limo service) from the airport to the University Hilton is $12 per person, each way. To reach the campus by car, exit the Harbor Freeway (110) at Exposition Boulevard. The Hilton is on the right at Figueroa Street, and Main Entrance I to the university is approximately one-quarter mile farther down Exposition Boulevard, at Hoover Street.

Weather and Local Information

The average high temperature in Los Angeles in the month of November is 73°F, and the average low temperature is 52°F. Rain is possible, but not very likely. Hot weather of approximately 90°F is also possible at this time of year. The city of Los Angeles and the surrounding area have many worthwhile museums and other interesting attractions. Those closest to campus are the Los Angeles County Museum of Science and Industry, and the Museum of Natural History located directly opposite the campus, across Exposition Boulevard. The Natural History Museum has recently opened the third largest live insect zoo in the nation, and also has a Discovery Center of hands-on exhibits for children. The Science and Industry Museum runs IMAX theater presentations. Use of the pool and gym at the Lyon University Center is possible by presenting a meeting badge and a $5 entry fee.


*Adams, C., 107 * Akbulut, S., 13 *Austin, D. M., II * Basmajian, A., 95

Berg,M., 71 * Birnir, B., 6, 18 *Boden, H. U ., 59 * Caflisch, R. E., 19 *Canary, R. D., 45 *Casson, A., 106 *Chang, M.-C., 111

Chang, S., 75 *Cohen, R. L., 12 *Cooper, D., 51 *Craig, W., 66 *Culler, M., 33 * D'hoker, E., 120 *Dai,X., 46

Dombroski, M., 23 *Doyle, P., 102 .*Dunbar, W. D., 94 *Ein, L., 55 * Eloranta, K., 7 * Ercolani, N., 87 *Eskin, G., 90 * Feit, W., 78

Fillmore, J.P., 28 *Ford, B. J., 37 *Friedlander, L., 91

Gillman, D. S., 69 *Green, L., 56


Numbers following the names indicate the speakers' positions on the program. • AMS Invited Lecturer * AMS Special Session Speaker

* Hass, J., 50 *Hayward, G., 49

Ho, L.-H., 26 *Hodgson, C., 48 *Holm, D. D., 67 *Hunter, J. K., 20

Jahangiri, M., 25 *Jantzen, J. C., 39 * Kappeler, T., 86

Keem,C.,24 * Kenig, C. E., 85 * Kenyon, R., 8 * Kerckhoff, S., 97 *Kirk, P., 57 * Klassen, E. P., 58 *Krieger, W., 9 *Lalley, S. P., 10 * Lawther, R., 40 eLazarsfeld, R. K., 101 * Lazarsfeld, R., 54 *Lee,R., 60 * Levermore, c. D., 22 *Li, P., 105

Li, Y., 29 * Libgober, A., 110 *Lindblad, H., 62 * Llave, R. d., 98 *Long, D. D., 108 * Lundelius, R., 47 *Lyons, R., 82 *Magaard, K., 41

*Masur, H., 99 *Mazzeo, R., 92 *Mess, G., 109

Mihram, G. A., 73 *Minsky, Y. N., 96 * Moriwaki, A., 52 • Mrowka, T. S., 34 * Mulase, M., 76 *Norton, A., 100 * Ouyang, H., 104 * Ouyang, M., 44 *Paoletti, R., 53

Park, S., 27 *Parker, T. H., 84 *Petersen, P., 93 *Pilch, K., 17 *Ponce, G., 89 * Quenell, G., 103 *Rabin, J., 16 * Ramrnaha, M. A., 63 *Ran, Z., 112 *Ratiu, T., 113 *Reid, A., 32 * Reshetikhin, N., 121 * Rivin, 1., 31 *Robinson, G., 2 * Ruan, Y., 83 * Saleur, H., 119 * Schonbek, M. E., 64 *Schultz, R., 61 *Schwarz, A., 122


*Schwarz, J. H., 15 * Segev, Y., 5 *Seitz, G. M., 36 * Shahriari, S., 3

Sherman, W. R., 70 • Sideris, T. C., 35 *Simon, B., 118 *Sin, P., 1 * Smereka, P., 21 *Smith, S. D., 4 *Solomon, R., 81 * Steinberg, R., 38 *Stern, R. J., 14

Tamari, D., 72 *Temple, B., 88 *Testerman, D., 42 *Thompson, J. G., 79 * Titi, E. S., 65 *Urbanski, M., 114 * Veolklein, H., 80 *Walters, P., 115 *Warner, N., 77 *Weeks, J., 30 *Wojtkowski, M. P., 116

Xia,H., 74 Xu, Y., 68

*Yang, P., 43 *Young, L. S., 117

881

882


The time limit for each contributed paper in the sessions is ten minutes. In the special sessions, the time limit varies from session to session and within sessions. To maintain the schedule, time limits will be strictly enforced.

Abstracts of papers presented in the sessions at this meeting will be found in the October 1992 issue of Abstracts of papers presented to the American Mathematical Society, ordered according to the numbers in parentheses following the listings below.

For papers with more than one author, an asterisk follows the name of the author who plans to present the paper at the meeting.

Saturday, November 7

Special Session on Finite and Algebraic Groups, I

8:30 a.m.-10:50 a.m. Room 144, Kaprielian Hall

8:30 a.m. The 1-cohomology of simple modules for the group of (1) type F4 in characteristic 2.

Peter Sin, University of Florida (877-20-05) (Sponsored by Robert M. Guralnick)

9:00 a.m. Minimal character degrees. (2) Geoffrey Robinson, University of Florida

(877 -20-1 02)

9:30 a.m. A generalization of the conjugation character of a finite (3) group.

Shahriar Shahriari, Pomona College (877-20-101)

10:00 a.m. 2-modular embeddings of monster geometries. (4) Stephen D. Smith, University of Illinois,

Urbana-Champaign (877-20-04)

10:30 a.m. Group actions on finite collapsible simplicial (5) complexes.

Yoav Segev, California Institute of Technology (877 -20-1 03)

Special Session on Dynamical Systems, I


8:30 a.m. Weak turbulence. (6) Bjorn Birnir, University of California, Santa Barbara

(877-35-80)

9:00 a.m. Structure of partially permutative cellular automata. (7) Kari Eloranta, Helsinki University of Technology,

Finland (877-82-29)

9:30a.m. Interval exchanges and a group of paths in R 2 •

(8) Richard Kenyon, Institute Fourier de Mathematics, Universite de Grenobele, France (877-51-43)

10:00 a.m. A class of algebraic subshifts. (9) Wolfgang Krieger, University of Heidelberg, Germany

(877-58-53)

10:30 a.m. Hausdorff and box dimensions of self-affine sets. (1 O) Steven P. Lalley*, Purdue University, West Lafayette,

and Dimitrios Gatzouras, Yale University (877-28-55)

Special Session on Gauge Theory and Four Manifolds, I


8:30 a.m. Floer homology for manifolds with boundary. (11) Preliminary report.

David M. Austin*, University of British Columbia, and Peter J. Braam, University of Oxford, England (877-57-112)

9:00 a.m. Floer homotopy theory. Preliminary report. (12) Ralph L. Cohen, Stanford University (877-57-104)

9:30 a.m. Topology of the Gauge group. Preliminary report. (13) Selman Akbulut, Michigan State University

(877-57-115)

10:00 a.m. Discussion

10:30 a.m. Using Floer's exact triangle to compute Donaldson (14) invariants.

Ronald Fintushel, Michigan State University, and Ronald J. Stern*, University of California, Irvine (877-57-113)

Special Session on Topics in Geometry and Physics, I

8:30 a.m.-10:20 a.m. Room 101, Seeley G. Mudd Building

8:30 a.m. Noncompact symmetries in supergravity and string (15) theories.

John H. Schwarz, California Institute of Technology (877 -82-16) (Sponsored by Robert C. Penner)

9:10a.m. Picard groups of supertori. (16) Jeff Rabin, University of California at San Diego, La

Jolla (877-51-14)

9:50 a.m. Semi-infinite cohomology in two-dimensional quantum ( 17) field theory.

Krzysztof Pilch, University of Southern California (877-81-21) (Sponsored by Robert C. Penner)



Special Session on Nonlinear Hyperbolic POE and Fluid Mechanics, I


8:30 a.m. Nonexistence of breathers. Preliminary report. (18) Bjorn Birnir, University of California, Santa Barbara

(877-35-60)

9:00 a.m. Singularity formation for complex solutions of the 3D (19) Euler equations. Preliminary report.

Russel E. Caflisch, University of California, Los Angeles (877-35-61)

9:30 a.m. Nonlinear waves in bubbly fluids. Preliminary report. (20) John K. Hunter* and Kan Tan, University of

California, Davis (877-35-74)

10:00 a.m. A kinetic theory for bubbly flow. Preliminary report. (21) Peter Smereka*, University of California, Los Angeles,

and Giovanni Russo, University Degli Studi Dell' Aquila, Italy (877-35-73) (Sponsored by Gustavo A. Ponce)

10:30 a.m. Entropic convergence and the linearized limit for the (22) Boltzmann equation. Preliminary report.

C. David Levermore, University of Arizona (877-35-72)

Session on Contributed Papers, I


8:30 a.m. Chebyshev spectra: Are these base states of the (23) universe?

Michael Dombroski, Los Angeles City College (877 -12-58)

8:50 a.m. Primitive linear series on curves. (24) Marc Coppens, Geel, Belgium, Changho Keem•,

Seoul National University, Korea, and Garriet Martens, lnstitut der Universitaet Erlangen-Nuernberg, Germany (877 -14-35)

9:10a.m. Subclasses of univalent functions and the (25) Littlewood-Paley conjecture.

M. Jahangiri, California State University, Bakersfield (877-30-52)

9:30 a.m. Exact subel/iptic estimate for n - 1 forms. (26) Lop·Hing Ho, Wichita State University (877-32-47)

(Sponsored by Hankun Wang)

9:50 a.m. Geometric properties, minimax inequalities, and fixed (27) point theorems on convex spaces.

Sehie Park*, Seoul National University, Korea, J. S. Bae and H. K. Kang, Myong-Ji University, Korea (877-47-39)

10:10 a.m. Euclidean theorems from Laguerre geometry. (28) Preliminary report.

Jay P. Fillmore*, University of California at San Diego, La Jolla, and Arthur Springer, San Diego State University (877-51-56)

10:30 a.m. Vector bundles over curves, generalized KP systems (29) and Prym varieties.

Ylngchen Li* and Motohico Mulase, University of California, Davis (877-14-51)

Special Session on Hyperbolic Geometry, I


9:00 a.m. Canonical decompositions of cusped hyperbolic (30) manifolds.

Makoto Sakuma, Osaka University, Japan, and Jeff Weeks*, Geometry Center, Minneapolis, Minnesota (877-57-31) (Sponsored by Francis Bonahon)

9:30 a.m. Some applications of the hyperbolic volume formula of (31) Lobachevsky and Milnor.

Igor Rlvin, Princeton University (877-57-49)

10:00 a.m. Surface bundle covers of hyperbolic 3-manifo/ds. (32) Alan Reid, Mathematical Sciences Research Institute,

Berkeley (877-57-07)

10:30 a.m. The volume of a hyperbolic 3-manifo/d of Betti number (33) 2.

Marc Culler* and Peter B. Shalen, University of Illinois, Chicago (877-57-93)

Invited Address

11:00 a.m.-11:50 a.m. Room 123, Seeley G. Mudd Building

(34) Gauge theory and embedded surfaces. Tomasz S. Mrowka, California Institute of Technology (877 -99-122)

Invited Address

2:00 p.m.-2:50 p.m. Room 123, Seeley G. Mudd Building

(35) The life span of 3D compressible and incompressible flow. Thomas C. Sideris, University of California, Santa Barbara (877-35-75)

Special Session on Finite and Algebraic Groups, II

3:00 p.m.-6:20 p.m. Room 144, Kaprielian Hall

3:00 p.m. Subgroups of exceptional algebraic groups. (36) Martin Liebeck, Imperial College, England, and Gary

M. Seitz*, University of Oregon (877-20-41)

3:30 p.m. Overgroups of irreducible linear groups. Preliminary (37) report.

Benjamin J. Ford, University of Oregon (877-20-85)

4:00 p.m. Nagata's example. Preliminary report. (38) Robert Steinberg, University of California, Los

Angeles (877-20-32)

4:30 p.m. Representations of quantum groups at a root of unity (39) and of semisimple groups in prime characteristic:

Independence of p. Preliminary report. Henning Haahr Andersen, Aarhus University, Denmark, Jens C. Jantzen*, University of Oregon, and Wolfgang Soergel, Max-Plank Institute for Mathematics, Germany (877-20-84)


......... _, .. _. __ ·······-·····--··-··--·"···-·---·····-----·-··--·-·······-···········-·------------···-··-·-··················-····--·-··" ........................................ _ ....................................... _ ................................................. .

884


Saturday, November 7 (cont'd)

5:00 p.m. Double cosets and clefs. (40) Ross Lawther, California Institute of Technology

(877-20-116) (Sponsored by Robert M. Guralnick)

5:30 p.m. On the irreducibility of symmetric squares. Preliminary (41) report.

Kay Magaard*, Wayne State University, and Donna Testerman, Wesleyan University (877-20-08)

6:00 p.m. Large rank subgroups of finite and algebraic simple (42) groups. Preliminary report.

M. Liebeck, Imperial College, England, J. Saxl, Cambridge University, England, and D. Testerman*, Wesleyan University (877-20-42)

Special Session on Spectral Geometry, I


3:00 p.m. Estimates for conformally invariant equations. (43) Sun-Yung Allee Chang, University of California, Los

Angeles, and Paul Yang*, University of Southern California (877 -53-1 05)

3:30 p.m. The v-lnvariant of Seifert-fibred geometric 3-manifolds. (44) Mingqlng Ouyang, Ohio State University, Columbus

(877-58-28)

4:00 p.m. The convex core and the Laplacian for hyperbolic (45) a-manifolds.

Richard D. Canary, University of Michigan, Ann Arbor (877-58-87)

4:30 p.m. Eta invariants for manifolds with boundary. (46) Xianzhe Dai, University of California, Los Angeles

(877-58-88)

5:00 p.m. Convergence of geometric terms in the Selberg trace (47) formula on degenerating surfaces of finite volume.

Rolf Lundelius, University of Kentucky (877-35-107)

Special Session on Hyperbolic Geometry, II


3:00 p.m. Singular hyperbolic structures and hyperbolic Dehn (48) surgery. Preliminary report.

Craig Hodgson, University of Melbourne, Australia (877-53-91)

3:30 p.m. Could we live in a small universe? (49) Geoff Hayward, University of British Columbia

(877-57-117) (Sponsored by Robert Meyerhoff)

4:00 p.m. Hyperbolic metrics with concave boundary. (50) J. Hass, University of California, Davis (877-57-119)

4:30 p.m. Co-contractible Kleinian groups. Preliminary report. (51) Daryl Cooper* and Darren Long, University of

California, Santa Barbara (877-53-59)

Special Session on Algebraic and Complex Geometry, I


3:00 p.m. Inequality of Bogomolov-Gieseker's type on arithmetic (52) surfaces.

Atsushi Moriwaki, University of California, Los Angeles (877-14-25) (Sponsored by Robert K. Lazarsfeld)

3:30 p.m. Gaussian maps on general algebraic curves. (53) Roberto Paoletti, University of California, Los Angeles

(877-14-24) 4:00 p.m. Linear series on threefolds I. Preliminary report.

(54) Robert Lazarsfeld, University of California, Los Angeles (877-14-26)

4:30p.m. Global generation of lineaar systems on 3-fold II. (55) Preliminary report.

Lawrence Eln, University of Illinois, Chicago (877 -14-27)

5:00 p.m. Algebra-geometric constructions of certain non-linear (56) differential equations.

Larry Green, University of California, Los Angeles (877 -14-99)

Special Session on Gauge Theory and Four Manifolds, II


3:00 p.m. Chem-Simons invariants for manifolds with toral (57) boundary. Preliminary report.

Paul Kirk, Indiana University, Bloomington (877-57-108)

3:30 p.m. Computing spectral flow via cup products. Preliminary (58) report.

Eric P. Klassen*, Florida State University, and Paul A. Kirk, Indiana University, Bloomington (877-57-109)

4:00 p.m. Discussion 4:30 p.m. SU(3) Casson invariants for Brieskorn spheres.

(59) Preliminary report. Hans U. Boden, University of Michigan, Ann Arbor (877-57-110) (Sponsored by Thomas H. Parker)

5:00 p.m. Perturbation of equivariant moduli spaces. Preliminary (60) report.

Ronnie Lee*, Yale University, and lan Hambleton, McMaster University (877-57-96)

5:30 p.m. Unitary nilpotent groups and unstable (61) pseudo-isotopies. Preliminary report.

Slawomir Kwasik, Tulane University, and Reinhard Schultz*, Purdue University, West Lafayette (877-57-83)

Special Session on Nonlinear Hyperbolic PDE and Fluid Mechanics, II


3:00 p.m. A counterexample to local existence in weak spaces (62) for nonlinear wave equations. Preliminary report.

Hans Lindblad, Princeton University (877-35-71) (Sponsored by Gustavo A. Ponce)



3:30 p.m. Upper bounds for the life span of solutions to systems (63) of nonlinear wave equations in two and three space

dimensions. Preliminary report. Mohammad A. Rammaha, University of Nebraska, Lincoln (877-35-70)

4:00 p.m. Lower bounds of rates of decay for solutions to the (64) Navier-Stokes equations.

Maria E. Schonbek, University of California, Santa Cruz (877-35-69) (Sponsored by Gustavo A. Ponce)

4:30 p.m. Global existence and regularity for 3 - D convection in (65) porous media. Preliminary report.

Edrlss S. Titi, University of California, Irvine (877-35-68)

5:00 p.m. Normal forms for water waves. Preliminary report. (66) Walter Craig, Brown University (877-35-62)

5:30 p.m. New dispersive shallow water equations applicable to (67) ocean dynamics.

Darryl D. Holm, Los Alamos National Laboratory (877-35-121) (Sponsored by Gustavo A. Ponce)

Session on Contributed Papers, II


3:00 p.m. Diverging eigenvalues and collapsing manifolds. (68) Youyu Xu, University of California, Los Angeles

(877-53-48)

3:20p.m. The Poincare conjecture holds in (the dunce haf) xi. (69) David S. Gillman, University of California, Los

Angeles (877-57-57)

3:40 p.m. On the Kneser-Haken finiteness theorem. A (70) Sharpness result.

William R. Sherman, University of California, Los Angeles (877-57-98)

4:00 p.m. The analytic proof of higher reciprocity laws. (71) Michael Berg, Loyola Marymount University

(877-11-50)

4:20 p.m. Asynchronous embryonic eel/growth and the theory of (72) lists. Preliminary report.

Dov Tamarl, New York, New York (877-92-11)

4:40 p.m. The ultimate culprit in the decline of mathematics (73) education? Preliminary report.

G. Arthur Mihram•, Princeton, New Jersey, and Danielle Mihram, University of California, Los Angeles (877-98-95)

5:00 p.m. Degeneration of moduli of stable bundles over (7 4) algebraic curves.

Huashi Xia, University of California, Los Angeles (877-14-100)

5:20p.m. On the spectral geometry of2-spheres. (75) Shaoping Chang, Stanford University (877-58-38)

Special Session on Topics in Geometry and Physics, II

3:30 p.m.-4:40 p.m. Room 101, Seeley G. Mudd Building

3:30 p.m. Commuting ordinary versus partial differential (76) operators. Preliminary report.

Motohico Mulase, University of California, Davis (877-51-18)

4:10p.m. Continuum limits of lattice models and N = 2 (77) superconformal coset models.

Nick Warner, University of Southern California (877-82-15) (Sponsored by Robert C. Penner)

Sunday, November 8

Special Session on Finite and Algebraic Groups, Ill


8:30 a.m. Extending Steinberg characters. (78) Walter Felt, Yale University (877-20-44)

9:00 a.m. Realizable sequences of partitions. (79) John G. Thompson, University of Cambridge,

England (877-20-03) (Sponsored by Robert M. Guralnick)

9:30a.m. GLn(q) and PUn(q2 ) as Galois groups overQ. (80) H. Veolklein, University of Florida (877-20-00)

(Sponsored by Robert M. Guralnick)

10:00 a.m. Long maximal subgroups of linear groups. (81) Douglas Brozovic, University of North Texas, and

Ron Solomon•, Ohio State University, Columbus (877-20-33)

10:30 a.m. Sporadic groups of even and p type. (82) Richard Lyons* and Daniel Gorenstein, Rutgers

University, New Brunswick (877-20-36)

Special Session on Gauge Theory and Four Manifolds, Ill


8:30 a.m. Smooth 4-manifolds versus symplectic 6-manifo/ds. (83) Preliminary report.

Yongbin Ruan, Michigan State University (877-57-114)

9:00 a.m. Yang-Mills-Higgs fields on the 4-sphere. Preliminary (84) report.

Thomas H. Parker, Michigan State University (877-57-111)


Special Session on Nonlinear Hyperbolic PDE and Fluid Mechanics, Ill


8:30 a.m. On the Zakharov-Schulman system. Preliminary report. (85) Carlos E. Kenig*, University of Chicago, Gustavo

Ponce, University of California, Santa Barbara, and Luis Vega, University Autonoma de Madrid, Spain (877-35-67)


886


Sunday, November 8 (cont'd)

9:00a.m. On global action-angle variables for periodic KdV, (86) Toda and nonlinear Schroedinger equations.

Preliminary report. Thomas Kappeler, Ohio State University, Columbus (877-35-66) (Sponsored by Gustavo A. Ponce)

9:30 a.m. Branch singularities of nonlinear hyperbolic systems (87) with two speeds. Preliminary report.

Nick Ercolani, University of Arizona (877-35-63) (Sponsored by Gustavo A. Ponce)

10:00 a.m. Shock wave solutions of the Einstein equations. (88) Preliminary report.

Blake Temple*, University of California, Davis, and Joel Smoller, University of Michigan, Ann Arbor (877-35-64)

10:30 a.m. The initial value problem for higher order dispersive (89) equations. Preliminary report.

Gustavo Ponce*, University of California, Santa Barbara, Carlos E. Kenig, University of Chicago, and Luis Vega, University Autonoma de Madrid, Spain (877-35-65)

Special Session on Spectral Geometry, II


9:00 a.m. Spectral theory of the Laplacian in domains with (90) corners. Preliminary report.

Gregory Eskin, University of California, Los Angeles (877-58-86)

9:30 a.m. Analytic torsion and Witten complex. (91) D. Burghelea, Ohio State University, Columbus, L.

Friedlander*, University of Arizona, and T. Kappeler, Ohio State University, Columbus (877-58-01)

10:00 a.m. Analytic surgery and the Eta invariant. (92) Rafe Mazzeo, University of Washington (877-58-90)

10:30 a.m. Sobolev constants, injectivity radius, and volume. (93) Peter Petersen, University of California, Los Angeles

(877-58-34)

Special Session on Hyperbolic Geometry, Ill


9:00 a.m. Deformations of spherical structures on two-bridge (94) knot complements. Preliminary report.

William D. Dunbar, Pennsylvania State University, Erie (877-57-92)

9:30 a.m. Tubes in hyperbolic manifolds and eigenvalue (95) estimates.

Ara Basmajian, University of Oklahoma (877-58-09)

10:00 a.m. Topological rigidity and an extension of a theorem of (96) Cannon and Thurston.

Yair N. Minsky, University of Michigan, Ann Arbor (877-53-77)

10:30 a.m. Deformations of singular hyperbolic structures. (97) Preliminary report.

Steve Kerckhoff, Stanford University (877-53-78)

Special Session on Dynamical Systems, II


9:00 a.m. Rigidity of one-dimensional dynamical Cantor sets. (98) R. de Ia Llave* and R. P. Schafer, University of

Texas, Austin (877-34-02)

9:30 a.m. The Teichmuller geodesic flow. (99) Howard Masur, University of Illinois, Chicago

(877-58-94)


10:30 a.m. Quasiconformal methods for the Denjoy problem on (1 00) T2. Preliminary report.

Alec Norton, University of Texas, Austin (877-58-37)

Invited Address

11:00 a.m.-11 :50 a.m. Room 123, Seeley G. Mudd Building

(1 01) Syzygies of algebraic varieties. Robert K. Lazarsfeld, University of California, Los Angeles (877-14-40)

Special Session on Spectral Geometry, Ill


2:00 p.m. lsospectral plane domains. Preliminary report. (1 02) Peter Doyle, University of California at San Diego, La

Jolla (877-58-106)

2:30 p.m. Spectral diameter estimates fork-regular graphs. (103) Gregory Quenell, Bucknell University (877-58-10)

3:00 p.m. On isospectral deformations on two-step nilmanifolds. (104) He Ouyang, Enertronics Research, Inc., St. Louis,

Missouri (877-58-82)

3:30 p.m. Upper bound of the first eigenvalue for algebraic (1 05) submanifolds. Preliminary report.

Jean-Pierre Bourguignon, Ecole Polytechnic, Peter Li*, University of California, Irvine, and Shin Tung Yau, Harvard University (877-58-89)

Special Session on Hyperbolic Geometry, IV


2:00 p.m. Geometrization of toroidal3-manifolds. (1 06) A. Casson, University of California, Berkeley

(877-57-118) (Sponsored by Francis Bonahon)

2:30 p.m. Tunnel number and volume for hyperbolic 3-manifolds. (107) Colin Adams, Williams College (877-57-76)

3:00 p.m. Constructing representations of braid groups. (108) D. D. Long*, University of California, Santa Barbara,

and J. A. Moody, Columbia University (877-57-45)

3:30 p.m. Seifert fiber spaces and quasi-symmetric groups. (1 09) G. Mess, University of California, Los Angeles

(877-57-120)


.,., .. _ .... ., ... .,_ .......... -...... .,_ .. _____ ..... _ ... ., ........... ., . ., ................. ., ... _ ............... ········---~-·--·--- ;;:;; u Program of the Sessions

Special Session on Algebraic and Complex Geometry, II


2:00 p.m. Discussion

4:00 p.m. Exponential mixing and stochastic stability. (117) L. S. Young, University of California, Los Angeles

(877-58-81)

Special Session on Topics in Geometry and Physics, Ill

2:30 p.m. Position of singularities of hypersurfaces and the (11 0) topology of their complenments. Preliminary report.

A. Libgober, University of Illinois, Chicago (877-14-46)

2:00 p.m.-5:10p.m. Room 101, Seeley G. Mudd Building

3:00 p.m. Discussion

3:30 p.m. Vector bundles of small rank on projective spaces. (111) Mei-Chu Chang, University of California, Riverside

(877 -14-23)

4:00 p.m. Research in algebraic geometry. (112) Zlv Ran, University of California, Riverside

(877 -14-22)

Special Session on Dynamical Systems, Ill


2:00 p.m. Stability analysis of Hamiltonian systems by geometric (113) methods.

Tudor Ratlu, University of California, Santa Cruz (877-58-97)

2:00 p.m. Spectral theory of Neumann Laplacians. (118) Barry Simon, California Institute of Technology

(877-51-17)

2:40 p.m. An algebraic approach to planar coloring problems. (119) Hubert Saleur, Yale University (877-82-12)

(Sponsored by Robert C. Penner)

3:20 p.m. The Toda field equations on arbitrary Riemann (120) surfaces.

Eric D'hoker, University of California, Los Angeles (877-83-20) (Sponsored by Robert C. Penner)

4:00 p.m. On correlation functions in integrable models of (121) quantum field theory.

N. Reshetikhin, Harvard University (877-81-13) (Sponsored by Robert C. Penner)

4:40 p.m. Geometry of quantization of gauge theories. (122) Albert Schwarz, University of California, Davis

(877-81-19) (Sponsored by Robert C. Penner)

2:30 p.m. Fractal properties of invariant subsets for piecewise (114) monotonic maps on the interval.

Mariusz Urbanski, University of North Texas (877-99-30) (Sponsored by Eugene Gutkin)

Lance W. Small Associate Secretary La Jolla, California

3:00 p.m. Topological versions of th Wiener-Wintner theorem. (115) Peter Walters, University of Warwick (877-28-54)

3:30 p.m. Lyapunov exponents of monotone symplectic cocycles. (116) Preliminary report.

Maciel P. Wojtkowski, University of Arizona (877-58-79) (Sponsored by Nicolai T. Haydn)

Matching of Asymptotic Expansions of Solutions of Boundary Value Problems Translations of Mathematical Monographs, Volume 102 • A.M. II' in

This book deals with the solution of singularly perturbed boundary value problems for differential equations. It presents, for the first time, a detailed and systematic treatment of the version of the matching method developed by ll'in and his colleagues. The book covers formal constructions of asymptotic expansions and provides rigorous justifications of these asymptotics. One highlight is a complete asymptotic analysis of Burger's equation with small diffusion in the neighborhood of the gradient catastrophe point. The book is suitable as a text for graduate study in asymptotic methods in calculus and singularly perturbed equations.

1991 Mathematics Subject Classification: 34; 41 ISBN 0-8218-4561-6, 281 pages (hardcover), July 1992 Individual member $101, List price $169, Institutional member $135 Your ordering code is MMON0/1 02NA

& ,.t,l::::::~~ All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepayment ffil ~ s ~ required. Order from: American Mathematical Society, P .0. Box 1571, Annex Station, Providence, Rl 02901-~ • ' ~ 1571, or call toll free 800-321-4AMS (321-4267) in the U.S. and Canada to charge with VISA or MasterCard.

Residents of Canada, please include 7% GST.


CONlEMPORARY MATHEMATICS

Mothemofical Aspects of Classical Aeld Theory

Mark Gotay, Vincent E. Moncrief, and Jerrold E. Marsden, Editors

This book contains the proceedings of the AM8-IMS-SIAM Joint Summer Research Conference on Mathematical Aspects of Classical Field Theory, held in July 1991 at the University of Washington at Seattle. This volume contains thirty refereed papers, both survey and research articles, and is designed to reflect the state of the art as well as chart the future course of the subject. The topics fall into four major categories:

• global analysis and relativity • geometric methods • BRST theory • calculus of variations.

Also included are related topics with a "classical basis", such as geometric quantization, integrable systems, symmetries, deformation theory, and geometric mechanics.

1991 Mathematics Subject Classification: 58, 70, 83 ISBN 0-8218-5144-6, 644 pages (softcover), August 1992. Individual member $47, List price $79, Institutional member $63 Your ordering code is CONM/132NA

p-Adlc Methods In Number Theory

and Algebraic Geometry

Alan C. Adolphson, Steven Sperber, and Marvin D. Tretkoff, Editors

Two meetings of the AMS in the fall of 1989-one at the Stevens Institute of Technology and the other at Ball State University-included Special Sessions on the role of p-adic methods in number theory and algebraic geometry. This volume grew out of these Special Sessions. Drawn from a wide area of mathematics, the articles presented here provide an excellent sampling of the broad range of trends and applications in padic methods.

1991 Mathematics Subject Classification: 11, 14 ISBN 0-8218-5145-4, 241 pages (softcover), August 1992. Individual member $23, List price $39, Institutional member $31 Your ordering code is CONM/133NA

First Announcement

IMPORTANT DEADLINES

AMS Abstracts For Consideration for Special Sessions Of Contributed Papers

MAA Abstracts Of Contributed Papers

EARLY Meetings Preregistration and Housing ORDINARY Meetings

Preregistration/Housing/Tickets Employment Register Preregistration

(Applicants & Employers) MAA Minicourse Preregistration Motions for AMS Business Meeting Hotel Changes and Cancellations

with Service Bureau FINAL Meetings Preregistration (no housing or

tickets) Cancellations for all Banquets (50% refund) Preregistration Cancellations (50% refund)

Expired October 8

Expired October30

November13

November13 November 13 December 13

December7

December 11 December30

January 10

San Antonio Meetings January 13-16, 1993

The Alamo, San Antonio.

WHERE TO FIND IT PAGE

How to Preregister 902 How to Get a Room 903 AMS-MAA Joint Sessions 890 Annual Meeting of the AMS 891 AMS Short Course 931 Annual Meeting of the MAA 893 Other Organizations 899 Other Events of Interest 901 Employment Register 928 Miscellaneous Information 906 Timetable 910 Map 907


Meetings

The Scientific Program The January 1993 Joint Mathematics Meetings, including the 99th Annual Meeting of the AMS, the 76th Annual Meeting of the Mathematical Association of America, the 1992-1993 winter meeting of the Association for Symbolic Logic, and the 1993 annual meetings of the Association for Women in Mathematics and the National Association for Mathematicians, will be held January 13-16 (WednesdaySaturday), 1993, in San Antonio, Texas. Sessions will be held in the San Antonio Convention Center and the Marriott Riverwalk:.

AMS-MAA Invited Addresses By invitation of the. AMS-MAA Joint Program Committee four speakers will address the AMS and MAA on the history or development of mathematics. The names of the speakers, their affiliations, the titles, dates, and times of their talks follow:

George E. Andrews, Pennsylvania State University, Ramanujan, the lost notebook and I, 11:10 a.m. Thursday;

Richard A. Brualdi, University of Wisconsin, Madison, Sign-solvable linear systems and their matrices, 11:10 a.m. Friday;

Robert A. Osserman, Mathematical Sciences Research Institute and Stanford University, The geometry of the universe, 11:10 a.m. Wednesday;

Mary F. Wheeler, Rice University, Mathematical modeling of biodegradation of organic contaminants in ground water, 11:10 a.m. Saturday.

Other AMS -MAA Sessions and Events Special Sessions: There will be three Special Sessions jointly sponsored by the AMS and MAA. Titles, organizers, and days follow:

Environmental modeling, William J, Coles, University of Utah, and B. A. Fusaro, Salisbury State University. Thursday, 8:00a.m. and 2:15p.m.

The state of research in undergraduate mathematics education: problems and prospects, Ed Dubinsky, MAA Committee on Research in Undergraduate Mathematics Education and Purdue University, on Friday at 8:00a.m. and 1:00 p.m., and Saturday at 1:00 p.m.

Mathematics and education reform, Naomi Fisher and Philip D. Wagreich, University of lllinois at Chicago; and Harvey B. Keynes, University of Minnesota, on Wednesday at 8:00a.m. and 2:15p.m., and Thursday at 8:00a.m. This session is also cosponsored by the Mathematicians and Education Reform (MER) Network. The sessions on Wednesday and Thursday mornings will present a variety of issues and projects in education reform spanning precollege and undergraduate mathematics education. The Thursday afternoon session will feature speakers from the MER workshop on Changing the culture: Education and the research community held in March 1992 in Oakland/Berkeley, California.

AMS-MAA Panel Discussion: The AMS-MAA Committee on Preparation of College Teaching (Bettye Anne Case,

Chair) is sponsoring a panel discussion from 9:30 a.m. to 10:55 a.m. on Wednesday, titled Best snapshots from doctoral departments. Through a FIPSE grant, the committee assists programs in eight doctoral departments: University of Cincinnati, Clemson University, Dartmouth College, University of Delaware, Harvard University, Oregon State University, University of Tennessee, and Washington University. This will be a fast-paced presentation which will focus on one outstanding idea or activity at each site, i.e., a best snapshot locally. Handouts will be available for all eight projects.

AMS-MAA Poster Session: From 8:00 a.m. to 10:55 a.m. on Friday there will be a poster session on Calculus reform, cosponsored by the AMS, the Calculus Reform Study Group (Marcelle Bessman, Chair) and CRAFTY, the CUPM subcommittee on Calculus Reform and the First Two Years. The organizers are James F. Hurley, University of Connecticut, and Paul Zorn, St. Olaf College. The session will feature displays of information about and materials from current calculus reform projects of all types. It will bring those interested in working on calculus reform together with project directors who have already gone through the start-up process. Those interested in displaying materials should contact one of the organizers as soon as possible.

Social for First-time Attendees: The AMS Committee on Membership (Frederick W. Gehring, Chair) and the MAA Committee on Membership, (Shirley Huffman, Chair) are again cosponsoring a social hour on Wednesday from 6:00 p.m. to 7:00 p.m. If this is your first national meeting you are especially encouraged to come and meet some old-timers and pick up a few tips on how to survive the environment of a large meeting. Refreshments will be served.

Joint Prize Session and Reception: In order to showcase the achievements of the recipients of various prizes, AMS and MAA are cosponsoring this session at 4:25 p.m. on Friday. A cash bar reception will immediately follow. All participants are invited to attend.

Other Joint Sessions AMS-MAA-NAM Sessions: This program titled Mathematics: A catalyst for educational progress in the year 2000 and beyond-filling the educational pipe line is sponsored by the AAAS-AMS-MAA Committee on Opportunities in Mathematics for Underrepresented Minorities (Gloria F. Gilmer, Chair) and the MAA Committee on Minority Participation (Manuel P. Berriozabal and Sylvia T. Bozeman, Co-chairs). Program A is from 2:15 p.m. to 6:00 p.m. on Wednesday and will feature Precollege access programs in Texas by Manuel Berriozabal of the University of Texas at San Antonio and General Marshall of Huston-Tillotson College; Women in mathematics by Etta Falconer of Spelman College, Mary Gray of American University, and Rhonda Hughes of Bryn Mawr College; Minorities in mathematics by Evelyn Boyd Granville of the University of Texas at Tyler, and Robert Megginson of the University of Michigan. Program B is from 2:15 p.m. to 4:10 p.m. on Thursday and will feature a continuation of Minorities in mathematics by Luis Ortiz-Franco of Chapman


Meetings

University, and Undergraduate research in mathematics by Richard Al6 of the University of Houston, Downtown, Abdulalim Shabazz of Clark Atlanta University, and Richard Tapia of Rice University.

99th Annual Meeting of the AMS January 13-16, 1993

Sixty-Sixth Josiah Willard Gibbs Lecture: The 1993 Gibbs Lecture titled Fluid dynamics and fiber architecture of the heart and its valves will be presented at 8:30 p.m. on Wednesday by Charles S. Peskin, New York University.

Prizes: Three Steele Prizes, the Satter Prize, and the AMS Citations for Public Service will be awarded at the Joint Prize Session on Friday, beginning at 4:25 p.m.

Colloquium Lectures: A series of three Colloquium Lectures on Nonlinear differential equations and Lagrangian coordinates will be given by Luis A. Caffarelli, Institute for Advanced Study. The lectures will be given at 1:00 p.m. daily, Wednesday through Friday.

Invited Addresses: By invitation of the AMS Program Committee for National Meetings, there will be six fiftyminute invited addresses. The names and affiliations of the speakers, their titles, and the days and times they will talk are as follows:

Jim Douglas, Jr., Purdue University, Simulations of flows in porous media, Saturday, 2:15p.m.;

Carolyn Gordon, Dartmouth College, You can't hear the shape of a drum, Thursday, 3:20p.m.;

Wu-Yi Hsiang, University of California, Berkeley, On the maximal density of sphere-packing in Euclidean 3-space, Wednesday, 10:05 a.m.;

Charles S. Peskin, Gibbs Lecturer

Bernd Sturmfels, Cornell University, Sparse systems of polynomial equations, Thursday, 2:15p.m.;

Leon Takhtajan, State University of New York at Stony Brook, Quantum groups: at the gates of the non-commutative world, Friday, 10:05 a.m.;

Alexander Varchenko, University of North Carolina, Chapel Hill, General hypergeometric functions and representation theory of Lie algebras and quantum groups, Friday, 9:00a.m.

Special Sessions: Also by invitation of the AMS Program Committee for National Meetings, there will be Special Sessions of selected twenty-minute papers. (See also the section listing the joint Special Sessions.) The topics of these Special Sessions, the names and affiliations of the mathematicians arranging them, and the tentative days and times they will meet are:

Continuum theory and dynamical systems, Kathleen T. Alligood, George Mason University, and Judy A. Kennedy, University of Delaware. Wednesday, 8:00 a.m. and 2:15 p.m., and Thursday, 8:00 a.m.

History of mathematics, Thomas Archibald, Acadia University and Victor Katz, University of the District of Columbia. Wednesday, 2:15 p.m., and Thursday, 8:00 a.m. and 2:15 p.m.

Banach space theory, Alvaro Arias, University of Texas, San Antonio. Friday, 1:00 p.m., and Saturday, 8:00a.m. and 1:00p.m.

History of general topology, Charles E. Aull, Virginia Polytechnic Institute and State University. Friday, 8:00 a.m. and 1:00 p.m., and Saturday, 8:00 a.m.

Small divisor problems in nonlinear analysis, Melvyn S. Berger, University of Massachusetts, Amherst, and Daniel Goroff, Harvard University. Wednesday, 2:15p.m., Thursday, 2:15 p.m., and one evening session, day and time to be announced.

Commutative algebra, Scott T. Chapman, Trinity University, San Antonio. Friday, 8:00 a.m. and 1:00 p.m., and Saturday, 8:00a.m. and 1:00 p.m.

Combinatorial methods in computational algebraic geometry, David Cox, Amherst College, and Bernd Sturmfels, Cornell University. Wednesday, 8:00 a.m. and 2:15 p.m., and Thursday, 8:00 a.m.

Operator theory and triangular operator algebras, Raul E. Curto, University of Iowa, and David R. Larson, Texas A&M University. Friday, 8:00 a.m. and 1:00 p.m., and Saturday, 8:00 a.m. and 1:00 p.m.

Ordered algebraic structures, Michael R. Darnel, Indiana University, South Bend. Saturday, 8:00a.m. and 1:00 p.m.

C*-algebras: 1943-1993 (a 50-year celebration), Robert S. Doran, Texas Christian University. Wednesday, 8:00 a.m. and 2:15p.m., and Thursday, 8:00a.m.

Differential geometry, Krishan L. Duggal, University of Windsor (Ontario). Wednesday, 2:15p.m., and Thursday, 8:00 a.m. and 2:15p.m.

Stability and asymptotic behavior of difference equations, Saber N. Elaydi and William F. Trench, Trinity University,


Meetings

San Antonio, and John R. Graef, Mississippi State University. Wednesday 8:00a.m. and 2:15p.m., and Thursday, 8:00a.m.

Quadratic forms, Dennis R. Estes, University of Southern California, and Donald James, Pennsylvania State University. Friday, 1:00 p.m. and in the evening at a time to be announced, and Saturday, 8:00a.m. and 1:00 p.m.

Topology and geometry, Robin Forman, Rice University, and John E. Luecke, University 6f Texas, Austin. Wednesday, 8:00 a.m. and 2:15 p.m., and Thlifsday, 8:00 a.m.

Eigenvalues in Riemannian geometry, Dennis DeTurck, University of Pennsylvania, and Carolyn S. Gordon, Dartmouth College. Friday, 8:00a.m. and 1:00 p.m., and Saturday, 1:00p.m.

Dynamics and computation in neural networks, Morris W. Hirsch, University of California, Berkeley, and Halbert White, University of California, San Diego, Department of Economics. Saturday, 8:00a.m. and 1:00 p.m.

Dynamics of systems with infinitely many degrees of freedom, Hans A. Koch, Rafael de Ia Llave, and Charles Radin, University of Texas, Austin. Friday, 1:00 p.m., and Saturday, 8:00a.m. and 1:00 p.m.

Integro-differential equations: stability and control, Xinzhi Liu, University of Waterloo, and Seenith Sivasundaram, Embry-Riddle Aeronautical University. Friday, 8:00 a.m., and Saturday, 8:00a.m. and 1:00 p.m.

Model theory and algebra, David E. Marker, University of Illinois at Chicago, and Philip H. Scowcroft, Wesleyan University. Wednesday, 2:15p.m., and Thursday, 8:00a.m. and 2:15 p.m.

Holomorphic spaces, John E. McCarthy, Washington University in St. Louis. Wednesday, 8:00 a.m. and 2:15 p.m., and Thursday, 8:00a.m. and 2:15p.m.

Low dimensional geometric dynamical systems, Alec Norton, University of Texas, Austin, and Mary Lou Zeeman, University of Texas, San Antonio. Thursday, 2:15 p.m. and Friday, 8:00a.m. and 1:00 p.m.

Modular forms and related topics, L. Alayne Parson, Ohio State University, and Mark Sheingorn, Baruch College. Friday, 1:00 p.m., and Saturday, 8:00a.m. and 1:00 p.m.

Quantum groups, Nikolay Reshetikhin, University of California, Berkeley; Leon Takhtajan, State University of New York, Stony Brook; and Alexander Varchenko, University of North Carolnia, Chapel Hill. Thursday, 2:15 p.m., Friday 1:00 p.m., and Saturday, 8:00a.m.

Abstacts for consideration for presentation in one of these sessions should have been submitted by September 17, 1992, three weeks earlier than the deadline for contributed papers.

Contributed Papers: There will be sessions for contributed papers on Wednesday, Thursday, Friday, and Saturday.

Abstracts should be prepared on the standard AMS form available from the AMS office in Providence or in departments of mathematics, and should be sent to Abstracts, Meetings Department, American Mathematical Society, P. 0. Box 6887, Providence, Rhode Island 02940, so as to arrive by

the abstract deadline of October 8, 1992. A charge of $16 is imposed for retyping abstracts that are not in camera-ready form. Late papers cannot be accepted.

Electronic Submission of Abstracts: This service is available to those who use the 1}3X typesetting system and can be used for abstracts of papers to be presented at this meeting. Requests to obtain the package of files may be sent by electronic mail on the Internet to abs[email protected]. Requesting the files electronically will likely be the fastest and most convenient way, but users may also obtain the package on ffiM or Macintosh diskettes, available free of charge by writing to: Electronic Abstracts, American Mathematical Society, Meetings Department, P.O. Box 6887, Providence, RI 02940. When requesting the Abstracts package, users should be sure to specify whether they want the plain 1}3X, ~-'lEX, or the :u\1}3X package. Again, late papers cannot be accepted.

Other AMS Sessions Committee on Science Policy: The Committee on Science Policy (Frank W. Warner III, Chair) will sponsor an address by a prominent public figure on Wednesday at 4:25 p.m.

The same committee will also sponsor a panel discussion on Resources for excellence in academic mathematical sciences departments on Friday, from 2:30 p.m. to 4:00 p.m. The moderator will be Frank W. Warner Ill, University of Pennsylvania. Panelists include Hyman Bass, Columbia University; William H. Jaco, American Mathematical Society; William E. Kirwan IT, University of Maryland; and Joan ·P. Leitzel, University of Nebraska. Many reports, such as MS2000, David II, etc., make the case for needed reform in college and university mathematical sciences departments in order to meet the challenge of their responsibilities in research, education and service. However, these reports fall short of providing more than some anecdotal evidence of the resources necessary to meet these challenges and fulfill the missions expected of mathematical sciences departments. This panel will explore the broad responsibilities expected of mathematical sciences departments, the current evidence of the resources needed to meet these responsibilites, and the work of the AMS Task Force that has been appointed to study this issue in depth.

Publication costs: are they controlable?: This panel is sponsored by the AMS Library Committee (Nancy Anderson and James L. Rovnyak, Co-Chairs) and will take place on Thursday from 2:15 p.m. to 4:10 p.m. Panelists include I. Edward Block, SIAM, Ruediger Gebauer, Springer-Verlag, and David L. Rodgers, Mathematical Reviews. The moderator will be James L. Rovnyak, University of Virginia.

This committee is also sponsoring a booth in the exhibit hall featuring a presentation by Keith Dennis and Steven Rockey, Cornell University titled Digital facsimilies of classic mathematics books.

AMS-J&\'IEX Presentation: Members of the AMS Technical Support staff will hold an informational seminar on the AMS-u\.1}3X package on Friday from 8:00 a.m. to 9:00 a.m.


....................................... ··························miiili••~•-•••m •••illiiili_iiili .... iiiliiiiliiiiliJill[.&ill[••iiili.iiili•[[f'" ···---··-·--·-··--····-··--·---... ···-········-·------·····---

Meetings

This will not be a course on the use of AMS-:u\.1J3X but rather attendees will learn about its advantages and some reasons why they may wish to use AMS-:u\.113X for their own work. A question and answer session will follow a brief presentation.

Panel Discussion on the Advanced Test of the Graduate Record Examination: This discussion on Friday from 9:35 a.m. to 10:55 a.m., will center around current testing practice and information on recent experiments devoted to alternative testing. Tentative panelists include some members of the Committee of Examiners for the GRE Advanced Mathematics Test (Sylvia T. Bozeman Spelman College; Robert Gilmer, Florida State University; Samuel M. Rankin III, AMS; Paul J. Sally, Jr., University of Chicago; Alan H. Schoenfeld, University of California, Berkeley; and William P. Thurston, MSRI), and Jeff Wadkins, Primary Testing Specialist for the GRE Advanced Mathematics Test, Educational Testing Service. Response from the audience will be solicited.

Committee on Education: The Commitee on Education, Rarnesh A. Gangolli, (Chair), University of Washington, will sponsor this panel discussion on The Federal Coordinating Council for Science, Engineering, and Technology (FCCSET) initiative on education and human resources on Saturday at 8:30a.m. Panelists include Lida K. Barrett, National Science Foundation; Eve Bither, Director of the Program for the Improvement of Practice; Peggy Dufour, Department of Energy and Executive Secretary, FCCSET, Committee on Education and Human Resources; Susan Forman, Mathematical Sciences Education Board; and Harvey B. Keynes, University of Minnesota. The moderator will be the committee Chair.

Graduate Student Activities Mathchats and Graduate Student Reception: All graduate students are invited to informal discussions on Tuesday evening. Well-known mathematicians representing a wide range of disciplines (Lenore Blum, Fan Chung, Ingrid Daubechies, Jim Donaldson, and Ronald L. Graham) will join interested graduate students for informal chats. Departure is from the Convention Center at 6:45 p.m. After a scenic bus tour through San Antonio, the group will arrive at the Cadillac Bar Restaurant and proceed to the upstairs party room. Here, surrounded by hand-hewn limestone walls with twelve-foot windows offering a skyline view of San Antonio, all may partake of a taco and nacho bar. Buses will return to the Convention Center at 9:45 p.m. There is no cost to graduate students for this event; however, be sure to check the appropriate box on the preregistration form.

Other AMS Events Council Meeting: The Council of the Society will meet at 2:00 p.m. on Tuesday.

Business Meeting: The Business Meeting of the Society will take place 5:00p.m. on Thursday. Please note that prizes will not be awarded at the business meeting, and instead will be awarded at a Joint Prize Session to be held on Friday at 4:25p.m.

The secretary notes the following resolution of the Council: Each person who attends a Business Meeting of the Society shall be willing and able to identify himself as a member of the Society. In further explanation, it is noted that each person who is to vote at a meeting is thereby identifying himself as and claiming to be a member of the American Mathematical Society.

The Society has a Committee on the Agenda for Business Meetings. The purpose is to make Business Meetings orderly and effective. The committee does not have legal or administrative power. It is intended that the committee consider what may be called "quasi-political" motions. The committee has several possible courses of action on a proposed motion, including but not restricted to

(a) doing nothing; (b) conferring with supporters and opponents to arrive

at a mutually accepted amended version to be circulated in advance of the meeting;

(c) recommending and planning a format for debate to suggest to a Business Meeting;

(d) recommending referral to a committee; (e) recommending debate followed by referral to a com

mittee. There is no mechanism that requires automatic submission

of a motion to the committee. However, if a motion has not been submitted through the committee, it may be thought reasonable by a Business Meeting to refer it rather than to act on it without benefit of the advice of the committee.

The committee consists of M. Salah Baouendi, Robert M. Fossum (Chair), and Carol L. Walker.

In order that a motion for the Business Meeting of January 14, 1993 receive the service offered by the committee in the most effective manner, it should be in the hands of the secretary by December 14, 1992.

76th Annual Meeting of the MAA January 13-16,1993

Invited Addresses: By invitation of the Program Committee there will be three invited fifty-minute addresses. The names of the speakers, their affiliations, the dates, times, and titles follow:

Peter B. Borwein, Dalhousie University, I am ashamed to tell you to how many figures I carried these computations, having no other business at the time, Wednesday, 2:15p.m.;

Sylvia T. Bozeman, Spelman College, Processing our image of minorities in mathematics, Thursday, 10:05 a;m.;

Robert D. Richtmyer, University of Colorado, Boulder, A special curriculum for exceptional students and integration infinite terms, Wednesday, 3:20p.m.

MonthlY Centennial Celebration: Several special events are scheduled to celebrate the fact that 1993 is the 1 OOth year of the publication of the American Mathematical Monthly.

Three celebration sessions are scheduled, two on Friday afternoon and one on Saturday morning. Deborah Tepper Haimo, University of Missouri at St. Louis and President of the MAA, will make some opening remarks at the first session. Then, Robert A. Rosenbaum, Wesleyan University


···-···-··--·················································-······-······-·······--···········--··························-·······--------··························-···································

Meetings

and Past Editor of the Monthly, will speak on The birth of the Monthly. Paul R. Halmos, Santa Clara University and Past Editor of the Monthly, will discuss the question, Do mathematicians read the Monthly?- Then and now. At the second session, Murray S. Klamkin, University of Alberta, will report on The Monthly problem section, and Andrew M. Gleason, Harvard University, will speak on The Putnam Prize Competition and the Monthly. The Saturday session consists of the following two talks: A pearl of algebra from the Monthly, by Harley Flanders, University of Michigan, Ann Arbor; andRamanujan, the Monthly, and serendipity, by George E. Andrews, Pennsylvania State University.

There will also be a Monthly Centennial Celebration Banquet on Friday evening. Please see the Social Events section for details.

Minicourses: Seventeen Minicourses are being offered by the MAA. The topics, names and affiliations of the organizers, the dates and times of their meetings, and the enrollment limitations of each are as follows:

Minicourse #1: Alternatives to the lecture method in collegiate mathematics, Julian Weissglass, Mathematical Sciences Education Board. Part A is scheduled from 8:00a.m. to 10:00 a.m. on Wednesday, and Part B from 8:00a.m. to 10:00 a.m. on Thursday. Enrollment is limited to 40.

This course will provide participants with information about using alternatives to the lecture method-particularly small group discussion methods. The goal is to enable teachers to get their students actively involved in doing, discussing; and writing about mathematics. Participants will engage in small group learning activity, see video clips, discuss the issues involved and learn about the research literature. Attention will be paid to organizational issues, assessment, and students' reactions.

Minicourse #2: How to make effective use of inexpensive pocket computers to develop the concepts and techniques of calculus, Franklin Demana and Bert K. Waits, Ohio State University. Part A is scheduled from 8:00a.m. to 10:00 a.m. on Wednesday, and Part B from 2:15p.m. to 4:15p.m. on Thursday. Enrollment is limited to 40.

Inexpensive ($100 or less) pocket computers are dramatically changing the way we teach (and students learn) calculus. Participants will use the latest "state of the art" Texas Instruments pocket computers-powerful tools that permit the user to make and test generalizations by looking at a large number of examples quickly, make solving graphically and numerically a realistic and powerful problem solving technique, and make non-contrived examples routine for all students. Topics include limits, continuity, differentiation, integration, optimization, sequences, series, vectors, matrices, and motion simulation.

Minicourse #3: All right! I've got a graphing calculator. What happens next?, Iris B. Fetta, Clemson Vniversity. Part A is scheduled from 8:00a.m. to 10:00 a.m. on Wednesday, and Part B from 2:15p.m. to 4:15p.m. on Thursday. Enrollment is limited to 80.

What is needed before, during and after graphing calculators are in your classroom? The proper use of graphing cal-

culators, students' attitudes, selection of textbooks, available calculator models and the change in instructional process due to the power of the technology will be discussed. Calculatorenhanced activities for algebra, precalculus, business calculus and introductory statistics will be distributed. Those attending will receive tips for and design calculator-active test questions. Participants should bring a graphing calculator and be familiar with its basic operating procedure.

Minicourse #4: Unifying themes in discrete mathematics, Ralph Grimaldi, Rose-Hulman Institute of Technology. Part A is scheduled from 8:00a.m. to 10:00 a.m. on Wednesday, and Part B from 2:15p.m. to 4:15p.m. on Thursday. Enrollment is limited to 80.

As discrete mathematics courses impact the college curricula, some students express concern about the apparent fragmented nature of the concepts. To dispel this feeling of fragmentation, certain unifying themes can serve to interrelate different concepts. Among such themes are:

(i) the function- with its role in enumeration, the analysis of algorithms, finite state machines, and the preservation of discrete structures.

(ii) enumeration- as it reinforces the study of partial orders, equivalence relations, graph theory, and summation formulas.

Minicourse #5: Using supercalculators to enhance instruction and learning in linear algebra, Donald R. LaTorre, Clemson University. Part A is scheduled from 2:15 p.m. to 4:15p.m. on Wednesday, and Part B from 6:00p.m. to 8:00 p.m. on Thursday. Enrollment is limited to 30.

This minicourse will be a hands-on exploration of the appropriate pedagogical use of the HP-48SX supercalculator to enhance instruction and learning in introductory linear algebra. Participants will use customized calculator software to investigate each of the following major themes: elimination methods for solving linear systems, associated factorizations; vector space theory associated with matrices; orthogonality concepts, including QR-factorizations with applications to least squares solutions; eigenvalue-eigenvector considerations; and interative techniques. An HP-48SX calculator will be loaned to each participant.

Minicourse #6: Teaching the introductory statistics course, Donald L. Bently, Pomona College; Robin Lock, St. Lawrence University; Thomas L. Moore, Grinnell College; Mary Parker, Austin Community College; and Jeffrey A. Witmer, Oberlin College. Part A is scheduled from 2:15 p.m to 4:15 p.m. on Wednesday, and Part B from 6:00 p.m. to 8:00 p.m. on Thursday. Enrollment is limited to 80.

The trend in statistics courses is toward courses in which students are actively involved in statistical thinking, application of statistical concepts, and developing an appreciation for data. This minicourse will illustrate ways of doing this in lectures, laboratory sessions, and student projects. Participants will be engaged in the ways recommended for engaging students. Each participant will be provided with handouts describing examples that can be used back home.


•• ••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••• 0 •••••••••••••••••••••••••••-t.Y.-4~-li:.H""~ ""'"'""""'""'"~••••••••"'""'"~~··••"'"""""V"O"~"""'~""~"~""•-••-·•'"-"""-·-~----~~~vv•~·~~~~

Meetings

Minicourse #7: Project CALC: Calculus as a laboratory course, Lawrence C. Moore and David A. Smith, Duke University. Part A is scheduled from 4:30 p.m. to 6:30 p.m. on Wednesday, and Part B from 6:00 p.m. to 8:00 p.m. on Thursday. Enrollment is limited to 80.

Project CALC is a reformed calculus course developed at Duke University with support from the National Science Foundation. The course emphasizes real-world problems, an interactive computer lab, writing about mathematics, and cooperative learning. We will present an overview of the philosophy and structure of the course, a simulation of the laboratory experience, examples illustrating the role of writing in the course and the grading of that writing, and a discussion of the implementation of a reformed calculus course.

Minicourse #8: Environmental models, Roland H. Lamberson, Humboldt State University. Part A is scheduled from 4:30 p.m. to 6:30 p.m. on Wednesday, and Part B from 6:00 p.m. to 8:00p.m. on Thursday. Enrollment is limited to 80.

This minicourse will survey the use of simple mathematical models in analyzing environmental policy and management issues. The object is to introduce the subject in such a way as to 1) give the participants insight into how environmental modeling is carried out, 2) open up the literature to them for further study, and 3) provide them with ideas for incorporating modeling into undergraduate courses. Topics include: viability models for endangered species, models for environmmental regulation and resource management, and decision-making models in conservation biology.

Minicourse #9: Earth algebra: College algebra with applications to environmental issues, Christopher Schaufele and Nancy Zumoff, Kennesaw State College. Part A is scheduled from 8:00a.m. to 10:00 a.m. on Thursday, and Part B from 2:15 p.m. to 4:15 p.m., also on Thursday. Enrollment is limited to 80.

This minicourse is a presentation of the content and methodology of a freshman mathematics course developed by the presenters. Earth Algebra uses elementary equations to build models which can be used to study environmental problems. The course is focused on greenhouse gas emission and global warming; brief modules are being developed which can be used independently. The minicourse provides an overview, and participants will work through two of the modules. Graphing calculators are required.

Minicourse #10: Why, when and how to use CAS calculators in calculus and differential equations instruction, John Kenelly and Gil Proctor, Clemson University. Part A is scheduled from 8:00a.m. to 10:00 a.m. on Friday, and Part B from 1:00 p.m. to 3:00 p.m. on Saturday. Enrollment is limited to 30.

The minicourse will be a hands-on consideration of why the power of CAS calculators is needed in undergraduate mathematics and how their portability gives special advantages in both day-to-day classes and testing. The participants will work specific examples showing when and how to use calculators to enhance instruction in calculus and differential equations.

Part A will concentrate on calculus with an emphasis on differentiation and integration concepts, arc length, power series and selected topics. Part B will focus on differential equations with an emphasis on (1) using graphs to illustrate concepts such as the dependence of the solutions of differential equations on initial conditions, stability, and parameter values, and (2) using computational tools to determine eigenvalues, associated eigenvectors and approximate values of definite integrals.

Minicourse #11: Using group projects in calculus, Stephen ffilbert, John Maceli, Eric Robinson, Diane Schwartz and Stanley Seltzer, Ithaca College. Part A is scheduled from 8:00a.m. to 10:00 a.m. on Friday, and Part B from 1:00 p.m. to 3:00p.m. on Saturday. Enrollment is limited to 80.

Many have recommended using projects and/or cooperative learning in calculus courses. The organizers have been teaching calculus using group projects since Spring 1989. Open-ended projects challenge students to develop problemsolving skills beyond looking for a similar problem solved in the text or class notes. This minicourse will address issues relating to the use of group projects in calculus, including an overview, examples of projects, hands-on experience working in a group on a project, and the impact on the curriculum.

Minicourse #12: Bringing calculus to life, Robert Decker, University of Hartford. Part A is scheduled from 8:00 a.m. to 10:00 a.m. on Friday, and Part B from 1:00 p.m. to 3:00p.m. on Saturday. Enrollment is limited to 80.

The minicourse will focus on the use of graphing calculators in solving problems using real data, some of which is collected from experiments performed in class. The calculus lab manual Bringing Calculus to Life, published by Prentice Hall and written by the presenters, provides the projects which will be addressed. The projects are geared toward a standard Calculus I and II sequence. The Casio FX7700G will be used in the workshop, but any graphing calculator can be used with the manual. Participants are strongly encouraged to bring their own calculator to the workshop in order to gain the greatest benefit; some experience with a graphing calculator would enhance the experience. Loaners will be provided for those who cannot bring their own.

Minicourse #13: Teaching mathematical modeling, J, S. Hartzler, Pennsylvania State University, Harrisburg. Part A is scheduled from 8:00a.m. to 10:00 a.m. on Friday, and Part B from 1:00 p.m. to 3:00 p.m. on Saturday. Enrollment is limited to 80.

This minicourse will deal with the development and implementation of a mathematical modeling capstone course for mathematics majors. Following a discussion of course philosophy, format, and logistics, considerable emphasis will be placed on selection of appropriate modeling projects for students. Projects used successfully in Dr. Hartzler's course will be distributed and discussed. A knowledge of calculus, differential equations, applied statistics and linear algebra will be assumed.

Minicourse #14: Linear algebra, applications and computing, Gareth Williams, Stetson University. Part A is


---------~-------~·---·-Meetings

scheduled from 2:00 p.m. to 4:00 p.m. on Friday, and Part B from 3:15 p.m. to 5:15 p.m. on Saturday. Enrollment is limited to 40.

A workshop on an introductory linear algebra course that meets the needs of students from many disciplines. Important computational ideas will be discussed. Applications will include models of population movement, seriation in archaeology, weather prediction, and space-time. The software packages, demonstrated on a Macintosh, will include Linear Algebra Computer Companion, MATLAB, and Stella. IBM and Macintosh versions of Linear Algebra Computer Companion will be distributed to participants. No previous computing experience necessary.

Minicourse #15: The Harvard calculus reform project: Hands-on experience with the project materials, Sheldon P. Gordon, Suffolk Community College; Deborah Hughes Hallett, Harvard University; William McCallum, University of Arizona; and Thomas W. Tucker, Colgate University. Part A is scheduled from 2:00 p.m. to 4:00 p.m. on Friday, and Part B from 3:15p.m. to 5:15p.m. on Saturday. Enrollment is limited to 40.

This minicourse will familiarize the participants with the philosophy and the materials being developed under the Harvard Calculus Reform Project. It will describe the philosophy behind the project and its implementation at a variety of institutions. The project is based on the Rule ofThree in which most topics are presented geometrically, numerically and symbolically to enhance student understanding of the concepts of calculus. Participants will be provided sample materials to examine, try out and take home to incorporate into their own classes.

Minicourse #16: Instituting a mathematics placement program: Creating order out of chaos in freshman mathematics, Geoffrey Akst, Manhattan Community College/CUNY. Part A is scheduled from 8:00 a.m. to 10:00 a.m on Saturday, and Part B from 3:15 p.m. to 5:15 p.m., also on Saturday. Enrollement is limited to 80.

Members of the MAA Committee on Testing will use lectures, worksheets, and question and answer sessions to present an overview of the task of establishing a mathematics placement program. Topics covered will include: reasonable expectations of a placement program, tests available through the MAA Placement Test Program (PTP), selection or creation of a placement test or series of tests, statistical analysis of test items and tests, methods of establishing a cutoff score, and administration of a placement program.

Minicourse #17: Mathematics in a real and complex world, Frank Wattenberg, University of Massachusetts, Amherst. Part A is scheduled from 8:00 a.m. to 10:00 a.m. on Saturday, and Part B from 3:15p.m. to 5:15p.m., also on Saturday. Enrollment is limited to 80.

This miriicourse describes courses aimed at giving science, nonscience, math, nonmath, and engineering majors the ability to exploit the power of mathematical reasoning and computers to investigate real and engaging problems. Such problems are typically more complex than the artificial

problems found in most mathematics books, and for this reason have been difficult to study within the limited time devoted to mathematics in the undergraduate curriculum. We have developed several courses that teach mathematics in this context. Our first course, aimed at nonscience, nonmath majors was developed as part of the Sloan Foundation New Liberal Arts Program, and we are developing other courses as part of the NSF calculus refonn effort. A second year course intended to replace Calculus ill, Linear Algebra, and ODEs is also currently under development. We will discuss some of the applications we use in these courses. Although we use computers, these courses can be taught successfully with a range of different hardware/software-ranging from high-end personal computers through more modest machines, even graphics calculators.

Participants interested in attending any of the MAA Minicourses should complete the MAA Minicourse Preregistration Form found at the back of this issue and send it directly to the MAA office at the address given on the form so as to arrive prior to the November 13 deadline. Do not send this form to Providence. Please note that these MAA Minicourses are not the AMS Short Course. To check on availibility for onsite registration after the deadline, potential participants are encouraged to call the MAA headquarters at 800-331-1622.

Please note that prepayment is required. Payment can be made by check payable to MAA (Canadian checks must be marked "in U.S. funds"), or VISA or MASTERCARD credit cards.

The registration fee for each of the MAA Minicourses #1, 2, 5, 10, 14 & 15 is $45. All other MAA Minicourses are $36 each.

The MAA Minicourses are open only to persons who register for the Joint Meetings and pay the Joint Meetings registration fee. If the only reason for registering for the Joint Meetings is to gain admission to a MAA Minicourse, this should be indicated by checking the appropriate box on the MAA Minicourse Preregistration Form. Then, if the Minicourse is fully subscribed, full refund can be made of the Joint Meetings preregistration fee. Otherwise, the Joint Meetings preregistration will be processed, and then be subject to the 50% refund rule. Participants should take care when cancelling Minicourse preregistration to make clear their intention as to their Joint Meetings preregistration, since if no instruction is given, the Joint Meetings registration will also be cancelled. Preregistration fonns for the Joint Meetings should be mailed to Providence prior to the deadline of November 13.

Contributed Papers: Contributed papers have been accepted on twelve topics. The topics, organizers, their affiliations, and the probable days they will meet are:

• Assessment programs for the undergraduate major, Charles F. Peltier, Saint Mary's College and James W. Stepp, University of Houston, Wednesday and Thursday mornings.

• "Capstone" courses for senior mathematics majors, Christopher E. Barat and Pamela Crawford, Randolph-


-·----·--·~-~~~'lW!aV'$$$811¥~~\\~diiiTMif

Meetings

Macon College, Friday morning and Saturday afternoon. • Empowering the mathematical community, Gloria F.

Gilmer, Math-Tech, Inc.; Marilyn Frankenstein, University of Massachusetts, Boston; Patricia C. Kenschaft, Montclair State College; and Alvin M. White, Harvey Mudd College, Wednesday morning and Thursday afternoon.

• Impact of non-traditional instructional methods on testing and evaluation, Linda H. Boyd, DeKalb College and Elizabeth Teles, Montgomery College, Maryland, Wednesday and Thursday afternoons.

• Interactive learning environments, Katherine Pedersen, NSF Statewide Systemic Initiative, and Sandra Z. Keith, St. Cloud State University, Wednesday and Thursday mornings.

• Linear algebra, Donald R. LaTorre, Clemson University; Steven J. Leon, University of Massachusetts, Dartmouth; and A. Duane Porter (for the LACSG), University of Wyoming, Wednesday and Friday afternoons, and Thursday evening.

• Mathematics and the arts, Thursday afternoon and Saturday morning, JoAnne S. Growney, Bloomsburg University.

• Recreational mathemagical computing, Michael W. Ecker, Pennsylvania State University, Wilkes-Barre, and Editor/Publisher, Recreational & Educational Computing, Friday morning and Saturday afternoon.

• Recruitment and retention of women in mathematics revisited, Marcelle Bessman, Frostburg State University, Saturday morning and afternoon.

• Teaching mathematics to multicultural and multilingual students, Richard O'Lander, St. John's University, St. Vincent's College, Friday morning and afternoon.

• Use of visualization in the teaching of mathematics, Howard Lewis Penn, United States Naval Academy and James R. King, University of Washington, Friday morning and Saturday afternoon.

• Using data and computers in teaching statistics, Mary Parker, Austin Community College and George Cobb, Mount Holyoke College, Wednesday morning and Thursday afternoon. Presentations are normally limited to ten minutes, although

selected contributors may be given up to twenty minutes. The deadline for submitting papers was September 10. Details were published in the May/June, July/August and September issues of the Notices, and the June issue ofF ocus.

Rooms where sessions of contributed papers will be held are equipped with an overhead projector and screen. Blackboards are not available. Persons having other equipment needs should contact the MAA Associate Secretary (Kenneth A. Ross, Department of Mathematics, University of Oregon, Eugene, OR 97403-1222; electronic mail: [email protected]) as soon as possible, but in any case prior to November 9. Upon request, the following can be made available: one additional overhead projector/screen, 35mm carousel slide projector, or 1/2'' or 3/4'' VHS video cassette recorder with one color monitor.

Organizers are cautioned that requests for equipment made at the meeting may not be able to be satisfied because of budgetary restrictions.

Other MAA Sessions Calculus Reform and the AP Calculus Exam: This panel discussion, scheduled from 9:30 a.m. to 10:55 a.m. on Wednesday, is co-sponsored by the Calculus Reform Study Group and CRAFTY, the CUPM subcommittee on Calculus Reform and the First Two Years. The organizers are Howard Lewis Penn, United States Naval Academy, and George M. Rosenstein, Jr., Franklin & Marshall College. The moderator will be Howard Lewis Penn and panelists will include Kevin Bartkovich, North Carolina School of Science and Mathematics; Daniel Kennedy, Baylor School in Tennessee and Chair of the Test Development Committee for the AP Calculus Exam; Bernard L. Madison, University of Arkansas and member of the Development Committee; J. Jerry Uhl, Jr., University of Illinois and a Director of the Calculus Reform Project, Calculus and Mathematica.

Mathematical Life Outside Academia: Common problems, goals and solutions: This panel discussion is scheduled from 8:00 a.m. to 9:20 a.m. on Thursday, and is sponsored by the Committee on Mathematicians Outside Academia (Patrick D. McCray, Chair). The moderator is Nathaniel Dean, Bell Communications Research. The committee sees its mission as promoting the goals of the MAA among non-academic mathematicians, promoting the welfare and understanding of non-academic mathematicians among the MAA membership as a whole, and encouraging the development of MAA activities which are of special mutual interest to both academic and non-academic members. This panel picks up and develops the theme presented by the panel last January in Baltimore on mathematical life outside academia (subtitled Input from the real world). The focus will be on situations mathematicians outside academia face and ways in which these situations can be addressed. Items for discussion will include: maintaining mathematical currency and familiarity with other sciences; attracting students and countering student apathy; educating students, parents and society; and the need for curricular change.

SUMMA Workshop: Intervention projects for minority pre-college students, Harvey Keynes, University of Minnesota, Minneapolis; Rodolfo Tamez, California State University at Los Angeles; and Irvin Vance, Michigan State University. This workshop is scheduled from 8:00 a.m. to 9:50 a.m. on Thursday and will be directed by William A. Hawkins, Director of SUMMA (Strengthening Underrepresented Minority Mathematics Achievement).

Progress in Mathematics Education using Computer Graphics: Organized by Steven Tanimoto, University of Washington, this panel discussion will take place 2:15 p.m. to 4: 10 p.m. on Thursday. The Committee on Computers in Mathematics Education (Gene Herman, Chair) is sponsoring this event. This panel will present some of the current approaches of using computer graphics in mathematics educa-


Meetings

tion. Computer graphics help make abstract concepts concrete and accessible, and help motivate students to learn mathematics. Objectives of the panel are to stimulate interest in new methods of teaching and learning mathematics through graphics and to foster a dialogue within the community about exciting new instructional approaches and their evaluation.

Assessment- its role in mathematics reform: A panel discussion from 2:15 p.m. to 4:10p.m. on Thursday, sponsored by the Committee on Testing (John G. Harvey, Chair). John Harvey, University of Wisconsin, Madison, is the moderator and the panelists are Wade Curry, Director of the Advanced Placement Program, College Board; John W. Kenelly, Clemson University; Mary M. Lindquist, President of the National Council of Teachers of Mathematics; and Thomas A. Romberg, Director of the National Center for Research in Mathematics. This panel will discuss the ways in which assessment at all levels influences and is influenced by current mathematics curriculum reform efforts. The panel members have experience in designing and administering assessment programs across the entire spectrum of mathematics assessment at both the school and college levels.

CAS Reunion: This has been organized by Donald B. Small, United Sates Military Academy, and is scheduled from 7:00p.m. to 8:30p.m. on Thursday.

Testing User Group: This is a preliminary meeting from 7:30p.m. to 9:30p.m. on Thursday, organized by John G. Harvey, to discuss the creation of a user group consisting of the members of the COT (Committee on Testing) Prognostic Testing Network, the subscribers of the Placement Testing Program, and the participants in the COT minicourses on placement testing. All interested persons are encouraged to attend.

MAA Science Policy Session: This panel discussion is sponsored by the MAA Science Policy Committee, T. Christine Stevens, (Chair), St. Louis University, and is scheduled from 8:00 a.m. to 9:20 a.m. on Friday. The committee Chair will act as moderator.

Precalculus Reform: This is a panel discussion from 9:30a.m. to 10:55 a.m. on Friday, organized by Ben Fusaro, Salisbury State University. The moderator is William F. Lucas, Claremont Graduate School. Precalculus reform seems to be at about the same stage that calculus reform was several years ago. Several precalculus projects with different approaches will be discussed.

Tilting at Windmills- Quantitative Literacy for College Students: This panel, sponsored by the CUPM Subcommittee on Quantitative Literacy Requirements, will discuss subcommittee views on the why, what and how of quantitative literacy. It is scheduled from 9:30 a.m. to 10:55 a.m. on Friday. The participants are Robert Bernhardt, East Carolina University; Donald Bushaw, Washington State University; Larry Curnutt, Bellevue Community College; and Robert Northcutt, Southwest Texas State University. The moderator is the Chair of the committee, Linda R. Sons, Northern Illinois University.

Calculus Reform Today: The Calculus Reform Study Group is sponsoring this informal discussion of current issues in calculus reform. The organizer is the Chair of the Study Group, Marcelle Bessman, Frostburg State University. The session is scheduled on Friday from 1:00 p.m. to 3:00p.m. Particular emphasis will be on the status and transportability of existing programs and on future directions of this reform movement. All persons involved in calculus projects or interested in the calculus reform initiative are encouraged to participate.

1992 Micro-inequities Skits: At 7:30p.m. on Friday, the Committee on the Participation of Women is presenting its sixth program of skits about incidents reported by mathematicians that reveal the current relationship between the sexes within our community. Individually many of these are funny in retrospect, but cumulatively they chip away at women's professional strength like drops of water on a rock. The acting is by mathematicians. There will be a brief opportunity for response between the skits. Formal discussion groups, led by especially prepared mathematicians, will follow the set of skits. Suggestions for skit material and volunteers for acting are welcomed by the CPW Chair, Patricia Clark Kenschaft.

The Alhambra Past and Present- A Geometer's Odyssey: A presentation by Lorraine L. Foster, California State University, Northridge, on Friday evening from 7:30 p.m. to 9:00p.m. The first video outlines the remarkable history of The Alhambra and discusses the many geometric motifs found there. The second describes the seven frieze pattern and seventeen wallpaper patterns by presenting brief characterizations and several examples from The Alhambra of the past and present. Both videos include computer animations. Eight large posters composed of computer-drawn color renditions of Alhambra's patterns will be displayed.

Actuarial Faculty Forum Informal Session on Actuarial Education: Prospective and present actuarial educators are invited to this informal meeting on Friday evening, from 7:30 p.m. to 10:00 p.m., to get together for discussions, brief presentations on pre-actuarial and actuarial programs, questions and answers on actuarial education, etc., organized by the Actuarial Faculty Forum. The contact person is James W. Daniel, University of Texas, Austin, (512-471-7168; electronic mail: [email protected]).

Special Presentation on Research in Undergraduate Education: Patrick W. Thompson, San Diego State University, will speak from 9:00 a.m. to 9:50 a.m. on Saturday on What students do know, don't know, and could know about functions: Implications for undergraduate mathematics education. This presentation is sponsored by the Committee on Research in Undergraduate Mathematics Education (Ed Dubinsky, Chair).

Poetry Reading: This reading, scheduled for Saturday from 1:00 p.m. to 2:00p.m., has been organized by JoAnne Growney, Bloomsburg University and Alvin White, Harvey Mudd College. Persons interested in reading poetry at this session should contact the organizers prior to November 15.


Meetings

Symbolic Computer Systems Panel Discussion: is sponsored by the Committee on Symbolic Computer Systems (Zaven A. Karian, Chair) and organized by Warren Page, New York City Technical College-CUNY. This panel will be held on Saturday from 2:15p.m. to 3:45p.m. Three different applications will be described: one will be given by Zaven Karian, Denison University. The organizer will raise critical issues concerning the instructional use of CAS's. Respondents: Benton Leong, University of Waterloo, will describe exciting, forthcoming technology-based innovations, and Frank Lester, Indiana University will address some of the research-related issues raised.

Student Activities The MAA Committee on Student Chapters, Pi Mu Epsilon, and the AMS are co-sponsoring a Student Hospitality Center in the VIP and Rehearsal Room in the Convention Center which will be open during the same hours the Joint Meetings registration desk is open, from Wednesday morning until3:00 p.m. on Saturday. The center will be a gathering place for all students (undergraduate and graduate) who are attending the Joint Meetings.

There will be a Career Fair on Thursday from noon to 2:00 p.m. sponsored by the MAA Committee on Student Chapters. This special event provides an opportunity for prospective employers of mathematically prepared people to acquaint the academic mathematical community with the needs of such employers and the variety of career opportunities available to those with a mathematical sciences background. The Career Fair is open to all who register for the Joint Meetings. However, high school or undergraduate students or high school teachers interested in attending only the Career Fair, should contact the MAA office in Washington at 202-387-5200 for information.

A special Student Day Program, sponsored by the MAA, will take place on Thursday for local area high school students and their teachers. In addition to the Career Fair, that day will include special presentations for students and teachers on visualization in mathematics and various opportunities for "hands-on" activities.

A Continental Breakfast for MAA Student Chapter Advisors and Section Coordinators, held jointly with Pi Mu Epsilon, is scheduled from 7:00a.m. to 8:00a.m. on Saturday in the Student Hospitality Center.

Student Workshops are being sponsored by the MAA Committee on Student Chapters. Workshop A is scheduled from 1:00 p.m. to 3:00p.m. on Friday, and workshop B is scheduled from 9:00 a.m. to 10:55 a.m. on Saturday.

The Third Annual Student Chapters' Lecture is titled Touring a torus and will be given by Joseph A. Gallian, University of Minnesota, Duluth, at 7:30 p.m. on Friday. The lecture is sponsored by the MAA Committee on Student Chapters.

A Student Chapter Session is sponsored by the MAA Committee on Student Chapters and organized by Deborah

Frantz, Kutztown University; W. Howard Jones, The University of the District of Columbia; and Karen Schroeder, Bentley College. This will serve as a forum for the exchange of ideas among advisors and section coordinators of the student chapters. Each of the fifteen-minute talks will focus on one or several activities implemented by a local chapter or a section. This session is scheduled from 8:00 a.m. to 10:55 a.m. on Saturday.

Other MAA Events Two-Year College Reception: The Committee on Two-Year Colleges is sponsoring an informal reception for two-year college faculty and their friends from 5:30p.m. to 7:00p.m. on Thursday.

Business Meeting: The MAA Business Meeting is scheduled from 4:25 p.m. to 4:55 p.m. on Thursday. This meeting is open to all members of the Association.

Prizes: Prizes will be awarded at the Joint Prize Session beginning at 4:25 p.m. on Friday, and include the Yueh-Gin Gung & Dr. Charles Y. Hu Award for Distinguished Service to Mathematics, the Chauvenet Prize, the Allendoerfer, P6lya and Ford Awards, and several Certificates of Meritorious Service. Awards for Distinguished College or University Teaching will also be presented.

Special Inaugural Teaching Award Session: A special event honoring the 1993 winners of the Awards for Distinguished College or University Teaching of Mathematics is scheduled from 3:30p.m. to 5:00p.m. on Saturday and will be immediately followed by a reception. The recipients will be the first winners of this newly-established prestigious award. Some of the honorees, who will have received their awards at the Prize Session on Friday, will report on the secrets of their success.

Board of Governors: The MAA Board of Governors will meet from 8:30a.m. to 4:00p.m. on Tuesday, January 12. This meeting is open to all members of the Association.

Section Officers: There is a Section Officers' meeting from 4:30p.m. to 6:30p.m. on Wednesday, January 13.

Activities of Other Organizations The Association for Symbolic Logic (ASL) will hold its 1992-1993 winter meeting on Friday and Saturday. The invited speakers, their affiliations, and the days and times they will speak are:

Richard Laver, University of Colorado, Boulder, 9:00 a.m. on Friday;

Eberhard Herrmann, Humboldt University, Berlin, 10:00 a.m. on Friday;

Toniann Pitassi, University of Toronto, 1:00 p.m. on Friday;

Sy Friedman, Massachusetts Institute of Technology, 9:00 a.m. on Saturday;

David Seetapun, University of Chicago, 10:00 a.m. on Saturday.


Meetings

Jan Krajicek, Czechoslovak Academy of Sciences, 1:00 p.m. on Saturday;

Chris Laskowski, University of Maryland, College Park, 2:00 p.m. on Saturday;

Titles for the invited speakers will be announced later. There will also be a session for contributed papers on Friday afternoon at 2:00 p.m.

All interested participants are invited to a cash bar reception on Thursday at 5:30p.m. to be held poolside at the Marriott Riverwalk.

The Association for Women in Mathematics (A WM) will conduct a workshop for women graduate students and postdocs in mathematics similar to the ones held at the recent past Joint Meetings. The AWM has applied for additional funding from the National Science Foundation and the Office of Naval Research to continue this series.

Pending NSF and ONR approval, the A WM will offer funding for travel, subsistence, and registration fees for ten women graduate students and ten women postdocs to attend the AWM Workshop and the Joint Meetings. The Workshop will provide opportunities to present and discuss research and to meet with other women mathematicians at all stages of their careers. The workshop will also include a panel discussion on issues of career development a luncheon, and a dinner.

All mathematicians (female and male) are invited to attend the entire program even though only 20 women will be funded. Departments are urged to help graduate students and postdocs obtain some institutional support to attend the Workshop and the Joint Meetings that follow.

All applications must be postmarked by November 1, 1992 and sent to A WM, Box 178, Wellesley College, Wellesley, MA 02181. For application procedures or additional information contact Jodi Beldotti, Executive Director, at 617-237-7517. (Address and telephone number are subject to change.)

Information on the AWM Workshop Dinner can be found in the Social Events section of this announcement.

The AWM is sponsoring a panel discussion at 3:20p.m. on Wednesday.

The fourteenth annual AWM Emmy Noether Lecture will be given at 9:00 a.m. on Thursday, speaker and title to be announced.

The AWM Business Meeting and Prize Session is scheduled from 4:20 p.m. to 4:50 p.m. on Wednesday. The Louise Hay Award for Contributions to Mathematics Education will be given at this session.

An open reception is planned for 9:30p.m. on Wednesday.

The Consortium for Mathematics and its Applications (COMAP) will hold its Council meeting on Tuesday from 5:00p.m. to 10:00 p.m.

The Interagency Commission for Extramural Mathematics Programs (ICEMAP) will have a session at 7:15 p.m. on Wednesday titled Opportunities at ICEMAP agencies. Representatives from these various agencies will be ()n hand for this discussion with interested participants.

The Joint Policy Board for Mathematics (JPBM) will hold its annual public policy address on Thursday evening at

6:30 p.m. The Honorable Barbara Mikulski (D-Maryland) and the Honorable George Brown (D-California) have been invited to speak. Both are Chairs of congressional committees having to do with science.

The JPBM Committee on Professional Rewards and Recognition (Calvin C. Moore, Chair) will sponsor a discussion on Friday from 1:00 p.m. to 2:30 p.m. concerning its interim report. Presentations will be made by Carolyn Mahoney, California State University, San Marcos and Calvin Moore, University of California, Berkeley, followed by arebuttal by Ruth Gonzales, Exxon Corporation and D. J. Lewis, University of Michigan, Ann Arbor. After the presentations, the group will answer questions from the floor.

The JPBM Mathematics Department Chairs' Committee (Frank Gilfeather, Chair) will sponsor a panel discussion on Friday evening at 7:00 p.m. titled Chairing the mathematics department in the 1990s. This discussion is intended for mathematics department Chairs, associate Chairs, and others interested in or active in departmental or university administration.

The National Association of Mathematicians (NAM) will receive the William W. S. Claytor Lecture at 1:00 p.m. on Saturday, January 16, by FernY. Hunt, Howard University, on Some results on the approximation of invariant measures of finite dimensional mathematics.

At 2:15 p.m. on Friday NAM will have a session on Presentations by recent doctoral recipients, moderated by John W. Alexander, Jr.

NAM will hold a Birds-of-a-feather session on Friday evening at 7:00p.m.

A panel discussion on Underrepresented minorities in the graduate school mathematical pipeline will take place from 9:00 a.m. to 10:00 a.m. on Saturday. The moderator is Robert Bozeman, Morehouse College.

The NAM Business Meeting will take place from 10:00 a.m. to 10:55 a.m. on Saturday, January 16.

The National Science Foundation (NSF) is sponsoring an address from 3:30p.m. to 4:20 p.m. on Wednesday on The fiscal year 1993 budget and opportunities at NSF. The speaker will be the newly appointed Division Director of the Division of Mathematical Sciences.

NSF invites participants at the Joint Mathematics Meetings to meet informally with staff members over the lunch hour (noon to 1:00 p.m.) daily, Wednesday to Saturday, January 13-16.

The NSF will also be represented at a booth in the exhibit area. NSF staff members will be available to provide counsel and information on NSF programs of interest to mathematicians. The booth is open the same days and hours as the exhibits. Times that staff will be available will be posted at the booth.

The Rocky Mountain Mathematics Consortium (RMMC) Board of Directors will meet on Friday from 2:15p.m. to 4:10p.m.


Meetings

Other Events of Interest AMS Information Booth: All meeting participants are invited to visit the AMS Information Booth during the meetings. Complimentary coffee and tea will be served. A special gift will be available for participants, compliments of the AMS. The Membership Manager of the Society will be at the booth to answer questions about membership in the Society.

Book Sales: Books published by the AMS and MAA will be sold at discounted prices somewhat below the cost for the same books purchased by mail. These discounts will be available only to registered participants wearing the official meetings badge. Visa and MasterCard credit cards will be accepted for book sale purchases at the meeting. The book sales will be open the same days and hours as the exhibits.

Exhibits: The book, educational media, and software exhibits will be open 1:00 p.m. to 5:00p.m. on Wednesday, 9:00a.m. to 5:00p.m. on Thursday and Friday, and 9:00a.m. to noon on Saturday. All participants are encouraged to visit the exhibits during the meeting. Participants visiting the exhibits will be asked to display their meeting badge or acknowledgement of preregistration from the Mathematics Meetings Service Bureau in order to enter the exhibit area.

Joint Books, Journals and Promotional Materials Exhibit: This exhibit will be open the same hours as the other exhibits, and affords participants the opportunity to order publications from various commercial publishers not represented at the meeting.

Mathematical Sciences Employment Register: Those wishing to participate in the San Antonio Employment Register should read carefully the important article about the Register which follows this meeting announcement.

Social Events It is strongly recommended that tickets for these events be purchased through preregistration, since only a very limited number of tickets will be available for sale on-site. Tickets purchased through preregistration will be mailed with the badge and program unless the participant instructs otherwise on the Preregistration/Housing Form. In that case, participants can pick up their ticket(s) at the meeting at the same time as their badge and program. To get a 50 percent refuncl, returned tickets must be received by the Mathematics Meetings Service Bureau by December 30. After that date no refunds can be made. Special meals are available at all banquets, upon request, including vegetarian, but this must be indicated on the Preregistration/Housing Form in advance.

Country-Western Social: The life of the cowboy was not all bullets, bottles and branding irons. Occasionally, the hard life was put aside for a little "boot-scooting" and "toetapping"! Come and experience some of this fun as you dance the night away. Western music will set the mood for a lively night of country-western entertainment. Dance instructors will be on hand to help with such favorites as the "Texas two-step", "cotton-eyed Joe", and "Schottish." The fun will take place at

the Villita Assembly Hall in La Villita from 8:00p.m. to 11:00 p.m. on Thursday. Tickets are $10 per person, and a cash bar with light snacks will be available.

Banquet to Honor 25-year Members of AMS: All meeting participants are invited to attend the annual banquet . to honor individuals who have been members of the Society for twenty-five years or more. This banquet provides an excellent opportunity to socialize with fellow participants in a relaxed atmosphere. The banquet will be held on Saturday, January 16, with a cash bar reception at 6:30p.m. and dinner at 7:30 p.m. The attendee who has been a member of the Society for the greatest number of years will receive a special tribute. Each attendee will receive a memento of the occasion and there will be a drawing for door prizes.

The menu includes fresh spinach salad, apple almond chicken, wild rice, seasonal vegetables, dinner rolls, carrot cake, coffee and tea. Vegetarian meals are available by advance request. Tickets are $27 each; the price includes tax and gratuity.

AWM Workshop Dinner: Association for Women in Mathematics will host a dinner after the conclusion of their Workshop on Tuesday at 6:30 p.m. participants are invited to attend the dinner, whether or not they attended the Workshop. The menu will be announced at a later date, and vegetarian meals will be available upon advance request. Tickets are $28 each, including tax and gratuity. Should funding for the Workshop not be approved, this dinner will be canceled.

MER Banquet: The Mathematicians and Education Reform (MER) Network welcomes all mathematicians who are interested in issues in precollege mathematics education to attend the MER Banquet on Wednesday at 6:30p.m. This is an opportunity to make or renew ties with other mathematicians who are involved in educational projects. There will be a brief presentation of the current activities and future plans of the MER Network, but the evening's main feature promises to be lively conversation among the participants. There will be a cash bar beginning at 6:30 p.m. Dinner will be served at 7:30p.m. and includes Southwest bella keye salad, marinated London broil with sherry mushroom sauce, buttered noodles, fresh seasonal vegetables, dinner rolls, chocolate mousse cake, coffee and tea. Vegetarian meals are available by advance request. Tickets are $28 each, including tax and gratuity.

MAA Monthly Centennial Celebration Banquet: The Master of Ceremonies will be the Monthly Editor, John H. Ewing, Indiana University. Speakers will be Richard K. Guy, University of Calgary; Raoul Hailpern, Former Editorial Director of the MAA; Doris Schattschneider, Moravian College; and Herbert S. Wilf, University of Pennsylvania, Philadelphia. This event will take place Friday evening at 7:30 p.m. Dinner includes Southwest bella keye salad, marinated London broil with sherry mushroom sauce, buttered noodles, fresh seasonal vegetables, dinner rolls, chocolate mousse cake, coffee and tea. Vegetarian meals are available upon advance request. Tickets are $27 each; the price includes tax and gratuity.


····························································-····· ···············-·······-··-·- ·············-··-·············-·················-············· ... ·· ------------·····················-·-····-·-····--·········-··-········-···········-·····---···--··--····--···---··--····-·········--·---········-··-

Meetings

How to Preregister and Get a Room

How to Preregister The importance of preregistration cannot be overemphasized. Those who preregister pay fees considerably lower than the fees that will be charged for registration at the meeting. Participants who preregister by the ordinary deadline of November 13 may utilize the housing services offered by the Mathematics Meetings Service Bureau (MMSB).

Joint Mathematics Meetings Member of AMS, ASL, Canadian Mathematical

Society, MAA $115 Emeritus Member of AMS, MAA 30 Nonmember 178 Student/Unemployed 30 Librarians/High School Teachers 30 High School Students enspace 2

Employment Register Employer $125 Additional interviewer (each) 60 Applicant 30 Employer posting fee 30

AMS Short Course Student/Unemployed $ 30 Emeritus Member of AMS, MAA 30 All Other Participants 70

MAA Minicourses (if openings available)

Minicourses #3, 4, 6, 7, 8, 9, 11, 12, 13, 16, 17 $ 36

Minicourses #1, 2, 5, 10, 14, 15 45

Preregistration and registration fees only partially cover expenses of holding meetings. All mathematicians who wish to attend sessions are expected to register and should be prepared to show their badge, if so requested. Badges are required to enter the exhibit area, to obtain discounts at the AMS and MAA Book Sales, and to cash a check with the Joint Meetings cashier. If a preregistrant should arrive too late in the day to pick up his/her badge, he/she may show the acknowledgment of preregistration received from the MMSB as proof of registration.

A $5 charge will be imposed for all invoices prepared when preregistration forms are submitted without accompanying check(s) for the preregistration fee(s), or are accompanied by an amount insufficient to cover the total payments due. We are sorry, but it is not possible for the MMSB to refund amounts less than $2. Preregistration forms received well before the deadline of November 13 which are not accompanied by correct payment will be returned to the participant with a request for resubmission with full payment. This will, of course, delay the processing of any housing request.

An income tax deduction is allowed for education expenses, including registration fees, cost of travel, meals and lodging incurred to (i) maintain or improve skills in one's employment, trade, or business or (ii) meet express requirements of an employer or a law imposed as a condition to retention of employment, job status, or rate of compensation. This is true even for education that leads to a degree. However, the Tax Reform Act of 1986 has introduced significant changes to this area: In general, the deduction for meals is limited to 80% of the cost. Unreimbursed employee educational expenses are subject to a 2% of adjusted gross income floor. There are exceptions to these rules; therefore, one should contact one's tax advisor to determine the applicability of these provisions.

There is no extra charge for members of the families of registered participants, except that all professional mathematicians who wish to attend sessions must register independently.

All full-time students currently working toward a degree or diploma qualify for the student registration fees, regardless of income. Students are asked to determine whether their status can be described as graduate (working toward a degree beyond the bachelors'), undergraduate (working toward a bachelors' degree), or high school (working toward a high school diploma), and make the appropriate indication on the preregistration/housing form.

The librarian registration category refers to any librarian who is not a professional mathematician.

The unemployed status refers to any person currently unemployed, actively seeking employment, and not a student. It is not intended to include any person who has voluntarily resigned or retired from his or her latest position.

Persons who qualify for emeritus membership in either the Society or the Association may register at the emeritus member rate. The emeritus status refers to any person who has been a member of the AMS or MAA for twenty years or more and is retired because of age or long term disability from his or her latest position.

Nonmembers who preregister or register at the meeting and pay the nonmember fee will receive mailings from AMS and MAA, after the meeting is over, containing information about a special membership offer.

Preregistration deadlines: There are three separate preregistration deadlines, each with its own advantages and benefits.

EARLY Preregistration October 30 ORDINARY Preregistration

(and Housing) November 13 FINAL Preregistration

(no Housing, tickets, Employment Register) December 11

EARLY Preregistration: Those who preregister by the EARLY deadline of October 30 will be eligible for a drawing to select the winners of complimentary hotel rooms in San Antonio. Multiple occupancy of these rooms is permissible. The location of rooms to be used in this lottery will be based on the number of complimentary rooms available in the various hotels. Therefore, the free room may not necessarily


Meetings

be in the winner's first choice hotel. Winners will be randomly selected from the names of all participants who preregister by October 30. The winners will be notified by mail prior to December 31. So preregister early! (A list of the winners in Baltimore appears in the section titled How to Get a Room.)

ORDINARY Preregistration: Those who preregister by the ORDINARY deadline of November 13 may still utilize the housing services offered by the MMSB, but are not eligible for the room lottery.

FINAL Preregistration: Those who preregister by the FINAL deadline of December 11 must pick up their badge and program at the meetings. Unfortunately, it is not possible to provide FINAL preregistrants with housing, tickets to special events, or Employment Register preregistration. However, participants may register on-site for the Employment Register and tickets may still be available for purchase at the meetings. Please note that the December 11 deadline is firm and any forms received after that date will be returned and full refunds issued.

ELECTRONIC Preregistration: Preregistration through electronic mail is also available. Anyone wishing to preregister through this method should send a message to [email protected] requesting this service. Amessage will be sent back within 24 hours with instructions on how to complete the format required. Credit card is the ONLY method of payment which can be accepted for electronic preregistration. Forms received through this method will be treated in the same manner as forms received through U.S. mail, and the same deadlines apply. Receipt of the Preregistration/Housing Form and payment will be acknowledged by the MMSB. Participants are advised to bring a copy of this acknowledgement with them to San Antonio. The same deadlines apply as for preregistration by mail.

All EARLY and ORDINARY preregistrants will receive formal acknowledgements prior to the meetings. FINAL preregistrants will receive instead a letter from the MMSB (including receipt of payment) prior to the meetings.

Both EARLY and ORDINARY preregistrants will receive their badge, program, and prepurchased tickets by mail two to three weeks before the meetings, unless they check the appropriate box to the contrary on the Preregistration/Housing Form. So, it is extremely important that the mailing address given on the Preregistration/Housing Form be one at which the participant can receive this mailing. Due to the delays that occur in the U.S. mail to Canada, it is strongly suggested that preregistrants from Canada choose to pick up their preregistration material at the meeting as opposed to having it mailed. There will be a special Registration Assistance desk at the Joint Meetings to assist individuals who either do not receive this mailing or who have a problem with their registration. Please note that a $2 replacement fee will be charged for programs and badges that are mailed but not taken to San Antonio. Unfortunately, it will not be possible to make changes in San Antonio to badges received through the mail before the meetings.

It is essential that the Preregistration/Housing Form (found at the back of this issue) be completed fully and clearly. In the case of several preregistrations from the same family, each family member who is preregistering should complete a separate copy of the Preregistration/Housing Form, but all preregistrations from one family may be covered by one payment. Please print or type the information requested and be sure to complete all sections. Absence of information (missing credit card numbers, incomplete addresses, etc.) causes a delay in the processing of preregistration for that person.

There will be a list of preregistrants sorted by area of mathematical interest posted at the meetings. If you wish to be included in this list, please provide the Mathematical Reviews classification number of your major area of interest on the Preregistration/Housing Form. (A list of these numbers appears on the back of the AMS and MAA abstract forms.) The master copy of this list will be available for review by participants at the Directory of Registrants located near the registration area.

How to Get a Room Participants must preregister by the ORDINARY deadline of November 13 in order to obtain hotel accommodations through the MMSB. Be sure to complete the Housing section of the Preregistration/Housing Form completely, after reading the information in this section thoroughly. Participants are asked to rank all hotels on the form after reviewing the hotel pages.

Physically challenged participants: People with special requirements for housing should make these clear when submitting the Preregistration/Housing Form.

The following participants received complimentary hotel rooms during the Baltimore meetings. They qualified for these rooms by submitting their Preregistration/Housing Form by the EARLY preregistration deadline. Since these rooms can be occupied by as many as four persons, this represented a considerable savings.

Days Inn John Akeroyd Joseph G. Brown

Holiday Inn Leon Brown James L. Rovnyak David Seppala-Holtzman

Marriott Jerry Glynn Bernard Harris

Omni Elsie Anderson William J. Barnier Harriet C. Edwards

Charles R. Diminnie Robert Kennedy

Robert Troyer Michael B. Ward

Meg Hartenstein

Charles Hampton Daniel G. Willis


I

z Sl 0 m C/)

0 "T1 -l ::c m

~ m :IJ

~ z s:: ~ ::c m s:: ~ ~ r C/)

g ~

How to Obtain Hotel Accommodations

The hotels listed below are listed by descending order of rates. This order does not reflect distance from the Convention Center. Estimated distance from the Convention Center is indicated below each hotel name. These hotels are full service hotels. They offer a LIMITED number of nonsmoking rooms and are equipped for the physically challenged. All hotels are in compliance or working towards being in compliance with the Americans with Disabilities Act (ADA). Special attention will be given to participants with special needs and every effort will be taken by the Mathematics Meetings Service Bureau (MMSB) to insure that such participants are placed in hotels that are in compliance with the ADA.

The rates listed below are subject to a 13 percent sales/occupancy tax. Checkin time for all hotels except for the two Marriotts is 3:00p.m .. Checkin time for the Marriotts is 4:00p.m. Checkout time for all hotels except for the Hilton, the Emily Morgan, and the Plaza is noon. Checkout time for the Hilton is 11:00 a.m. Checkout time for the Emily Morgan and the Plaza is 1:00 p.m. Hotels that have sleeping rooms with windows that open are: Marriott Riverwalk, Plaza, Menger, Holiday Inn Riverwalk, and the Travelodge.

Participants desiring confirmed reservations for the following hotels must make the reservations through the MMSB prior to the November 13, 1992 deadline. Reservations, cancellations, and/or changes at these hotels CANNOT be made by calling the hotel directly until after December 16, 1992. Please make all changes to or cancellations of hotel reservations with the MMSB (401-455-4143} in Providence through December 7, 1992. The MMSB cannot accept changes after December 7, 1992; however, changes and cancellations can be called in directly to the hotels after December 16, 1992. Please allow the MMSB and the hotels from December 7 to December 15 to process and input final housing lists and changes. It is imperative that all hotels listed on the back of the preregistration form be numbered in order of preference to insure accurate hotel assignments.

GUARANTEE REQUIREMENTS: $50 by check OR a credit card guarantee with VISA, MasterCard, or American Express (for housing only). American Express cards may be used for housing guarantees only and not for preregistration. For room payments, the hotels accept all major credit cards. Personal checks are accepted with personal identification and a credit card backup at all properties except the Plaza. The Plaza does not accept personal checks from out of state. The Marriott Rivercenter and the Hilton use telecheck approval.

Location Description Single Double Double Triple Triple Quad Quad Suites 2 beds 2 beds 2 beds w/cot 2 beds 2 beds wfcot (starting

rates)

Hyatt Regency 123 Lasoya Street Restaurants, Lounge, Outdoor Pool .30 miles San Antonio, TX 78205 Parking $9.50 valet (In/Out}, $7.50 self

512-222-1234 Children 18 yrs. and younger free

REGULAR $90 $100 $100 $100 $110 $100 $110 $465+

Hilton Palacio Del Rio 200 South Alamo Restaurants, Lounge, Outdoor Pool .06 miles San Antonio, TX 78205-3299 Parking $6 self (In/Out}, $14 valet

512-222-1400, 1-800-HILTONS Children all ages free

REGULAR $83 $93 $93 $103 $103** $113 $113** $325+

STUDENT* $73 $73 $73 $73 $93 $73 $93 N/A

Marriott RiverwaJk 711 East RiverwaJk Restaurant, Lounge, Indoor/Outdoor Pool {HEADQUARTERS} San Antonio, TX 78205 Parking $7 (In/Out}, $10 valet (In/Out} .06 miles 512-224-4555 Indoor/Outdoor Pool

REGULAR $83 $93 $93 $103 $113 $113 $123 $478+

STUDENT* $73 $73 $73 $73 $83 $73 $83 N/A i I

Marriott Rivercenter 101 Bowie Street Restaurants, Lounges, Indoor/Outdoor Pool .10 miles San Antonio, TX 78205 Parking $7 self (In/Out}, $10 valet (In/Out)

I 512-223-1000 Children 16 yrs. and younger free

REGULAR $82 $92 $92 $112 $132 $132 $152 $225 I

STUDENT* $72 $72 $72 $72 $92 $72 $92 N/A -··- ----

All parking rates quoted above are per day rates. Ages listed above for children free in the room apply to children in existing beds only. There is an extra charge for rollaways, where applicable.

* Participant must be a certified student or unemployed to qualify for these rates.

** Rollaway fee for non-family members is an additional $20 per day.

f §"· ~

~ 01 m :D ~

CD

1S ~ c s:: m

.18 z c s:: 01 m :D (10

~

How to Obtain Hotel Accommodations (continued)

Location Description Single Double Double Triple Triple Quad Quad Suites 2 beds 2 beds 2 beds w/cot 2 beds 2 beds wfcot (starting rates)

Plaza San Antonio 555 S. Alamo Street Restaurants, Lounge, Outdoor Pool .10 miles San Antonio, TX 78205 Parking $7 valet (In/Out), $5 self (Resort hotel) 512-229-1000 Children 12 yrs. and younger free

2 Tennis Courts, Bicycles

REGULAR $81 $91 $91 $101 $111 $111 $121 $250

STUDENT* $71 $71 $71 $71 $81 $71 $81 N/A

The Crockett 320 Bonham Street Restaurants, Lounge, Outdoor Pool .20 miles San Antonio, TX 78205-2083 Parking $7 valet (In/Out)


REGULAR $77 $77 $77 $77 $87 $77 $87 $250

STUDENT* $67 $67 $67 $67 $77 $67 $77 N/A

Menger 204 Alamo Plaza Restaurant, Lounge, Outdoor Pool .20 miles San Antonio, TX 78205 Parking $7.95 valet (In/Out), $3.95 self


REGULAR $74 $84 $84 $94 $104 $104 $114 $152

STUDENT* $70 $70 $70 $70 $80 $70 $80 N/A

Emily Morgan 705 E. Houston Street Restaurant, Lounge, Outdoor Pool .80 miles San Antonio, TX 78205 Parking $6.50 self (In/Out)


REGULAR $73 $73 $73 $83 $93 $93 $103 N/A

STUDENT* $63 $63 $63 $63 $73 $63 $73 N/A

Holiday Inn Riverwalk 217 North St. Mary's Street Restaurant, Lounge, Outdoor Pool .50 miles San Antonio, TX 78205 Parking $4 self (In/Out), $5.50 valet

512-224-2500, 1-800-445-8475 Children 16 yrs. and younger free

REGULAR $65 $65 $65 $75 $85 $85 $95 $165

Travelodge on the River 100 Villita Street Restaurant, Lounge, Outdoor Pool .50 miles San Antonio, TX 78205 Parking $4.75+tax self (In/Out)

512-226-2271, 1-800-554-4678 Children 18 yrs. and younger free

REGULAR $65 $65 $65 $75 $83 $75 $83 N/A

All parking rates quoted above are per day rates. Ages listed above for children free in the room apply to children in existing beds only. There is an extra charge for rollaways, where applicable.

* Participant must be a certified student or unemployed to qualify for these rates.

f i

Meetings

Sheraton Hall Bennet Mary Connolly Susanna D. Fishel

Mako Haruta Susan E. Hurley John Stoughton

All participants wishing to preregister for the San Antonio meetings are urged to consider the EARLY deadline of October 30 in order to qualify for the San Antonio n;)Qm Lottery. (See the section titled How To Preregister.)

Participants who did not reserve a room during preregistration and would like to obtain a room at one of the hotels listed on the following pages should call the hotels directly after December 16. However, after that date the MMSB can no longer guarantee availability of rooms or special convention rates.

Participants should be aware that it is general hotel practice in most cities to hold a nonguaranteed reservation until 6:00 p.m. only. When one guarantees a reservation by paying a deposit or submitting a credit card number as a guarantee in advance, however, the hotel usually will honor this reservation up until checkout time the following day. If the individual holding the reservation has not checked in by that time, the room is then released for sale and the hotel retains the deposit or applies one night's room charge to the credit card number submitted.

If you hold a guaranteed reservation at a hotel, but are informed upon arrival that there is no room for you, there are certain things you can request the hotel do. First, they should provide for a room at another hotel in town for that evening, at no charge. (You have already paid for the first night when you made your deposit.) They should pay for taxi fares to the other hotel that evening, and back to the meetings the following morning. They should also pay for one telephone toll call so that you can let people know you are not at the hotel you expected. They should make every effort to find a room for you in their hotel the following day and, if successful, pay your taxi fares to and from the second hotel so that you can pick up your baggage and bring it to the first hotel. Not all hotels in all cities follow this practice, so your request for these services may bring mixed result~, or none at all.

The AMS-MAA Joint Meetings Committee always endeavors to obtain the lowest possible sleeping room rates . for participants at annual meetings. The committee is also responsible for maintaining a sound fiscal position for these meetings. As the meetings have grown in scope and complexity over the years, it has been necessary to find larger facilities with more and more session rooms. Unfortunately, the cost of these facilities is higher than can be covered by the registration fees, and the committee has arranged for all of the hotels to collect an extra $3 per room per night from participants, which will be used to offset the rental cost of the Convention Center. (The rates quoted on the hotel information page include this extra charge.)

Miscellaneous Information Audio-Visual Equipment: Standard equipment in all session rooms is one overhead projector and screen. (Invited 50-

minute speakers are automatically provided with two overhead projectors.) Blackboards are not available. Participants who require audio-visual assistance should come to the Registration Desk.

MAA speakers requiring additional equipment may make written request for one additional overhead projector/screen, 35mm carousel slide projector, or VHS video cassette recorder with one color monitor. Such requests should be addressed to the MAA Associate Secretary (Kenneth A. Ross, Department of Mathematics, University of Oregon, Eugene, OR 97403). These requests should be received by November 9.

All other speakers requiring additional equipment should contact the Audio-Visual Coordinator for the meetings at the AMS office in Providence at401-455-4140, or electronic mail [email protected] by November 9.

Speakers are cautioned that requests for equipment made at the meeting may not be satisfied because of budgetary restrictions.

Child Care: Many hotels have a list of bonded child care services. Participants should inquire at their hotel and are responsible for making individual arrangements.

A Parent/Child Lounge will be located in the San Antonio Convention Center. This room will be furnished with casual furniture, a crib, a changing area, and a VCR and monitor for viewing videotapes. The tapes, appropriate for children, can be checked out at the Telephone Message section of the Registration Desk. Any child using this lounge must be accompanied by a parent (not simply an adult) who must be responsible for supervision of the child. This lounge will be unattended and parents assume all responsibility for their children. This lounge will only be open during the hours of registration and all persons must leave the lounge at the close of registration each day.

Information Distribution: A table is set up in the registration area for dissemination of general information of possible interest to the members.

A second table is set up in the exhibit area for the dissemination of information of a mathematical nature not promoting a product or program for sale.

If a person or group wishes to display information of a mathematical nature promoting a product or program for sale, they may do so in the exhibit area at the Joint Books, Journals and Promotional Materials exhibit for a fee of $35 per item.

If a person or group would like to display material in the exhibit area separate from the Joint Books table, the proponent must reimburse the AMS and MAA for any extra furnishings requested (tables, chairs, easels, etc.) in addition to payment of the $35 per item fee. (This latter display is also subject to space availability.)

The administration of these tables is in the hands of the AMS-MAA Joint Meetings Committee, as are all arrangements for Joint Mathematics Meetings. The following rules and procedures apply.

1. Announcements submitted by participants should ordinarily be limited to a single sheet no more than 81/z'' X 14".


·····································································-···-······················· ····················-·······- ....................................... ------!l!lillllllr""· ... ·--·---·-·--........ _ ... _._ ......... -.... ·-·--···~------Meetings

DOWNTOWN SAN ANTON 10

N

W*' s

0 .25

I 1" = .25 mile I

...... TO ROUTE 10

* San Antonio Convention Center 1. Emily Morgan Hotel 6. Marriott Riverwalk Hotel 2. Hilton Palacio del Rio 7. Menger Hotel 3. Holiday Inn Riverwalk 8. Plaza San Antonio Hotel 4. Hyatt Regency Hotel 9. The Crockett Hotel 5. Marriott Rivercenter Hotel 10. Travelodge on the River


908

Meetings

JOINT MATHEMATICS MEETINGS SPECIAL AIRFARES

1-800-999-9780

TRA VCON, INC., the official travel management firm for the January13-16, 1993 Joint Mathematics Meetings to be held in San Antonio, Texas, has arranged for special discounts aboard American Airlines.*

Save 5% off the lowest published promotional fares, meeting all restrictions. The 5% discount also applies to the new lower roundtrip coach fares. The lowest fares require a Saturday night stay, are subject to airline change/cancellation penalties, and must be purchased at least 14 days prior to departure. These discounted fares can be obtained through TRAVCON, INC.

Each Joint Mathematics Meetings participant will also receive $100,000 flight insurance with each ticket purchased through TRA VCON, INC. aboard any airline.

*American Airlines has been designated as the official airline carrier for the San Antonio Meetings because it provides the most convenient service for the majority of participants from across the country. However, if American Airlines does not provide convenient service from your area, TRA VCON will be happy to inform you of the most convenient flights and lowest available airfare on other airlines.

Your airfare is not guaranteed until ticketed.

Call Today Toll-Free and Save:

1-800-999-9780

Monday-Friday, 9:00 a.m. - 5:00 p.m. EST

TRA VCON, INC. 65 LASALLE ROAD, SUITE 300 WEST HARTFORD, CT 06107

(203) 232-9939 FAX: (203) 232-6310


Meetings

2. A copy of any announcement proposed for either table is to be sent to the Director of Meetings, American Mathematical Society, Post Office Box 6887, Providence, Rhode Island 02940 to arrive at least one week before the first day of the scientific sessions.

3. The judgment on the suitability of an announcement for display rests with the Joint Meetings Committee. It will make its judgments on a case-by-case basis to establish precedents.

4. Announcements of events competing in time or place with the scheduled scientific program will not be accepted.

5. Copies of an accepted announcement for either table are to be provided by the proponent. Announcements are not to be distributed in any other way at the meetings (for example, by posting or personal distribution of handbills).

6. It may be necessary to limit the number of events or the quantity of announcements distributed at a meetings.

7. At the close of registration on Saturday, both tables will be swept clean. Therefore, a proponent who wishes the return of extra copies should remove them before the close of registration.

Mail: All mail and telegrams for persons attending the Joint Meetings should be addressed as follows: Name of Participant, Joint Mathematics Meetings, San Antonio Convention Center, PO Box 2277, San Antonio, TX 78298. Mail and telegrams so addressed may be picked up at the mailbox outside the meetings registration area. U.S. mail not picked up will be forwarded after the meetings to the mailing address given on the participant's registration record.

Petition Table: At the request of the AMS Committee on Human Rights of Mathematicians, a table will be made available in the exhibit area at which petitions on behalf of named individual mathematicians suffering from human rights violations may be displayed and signed by meetings participants acting in their individual capacities.

Signs of moderate size may be displayed at the table, but must not represent that the case of the individual in question is backed by the Committee on Human Rights unless it has, in fact, so voted. Volunteers may be present at the table to provide information on individual cases, but notice must be sent at least seven days in advance of the meetings to the Director of Meetings in Providence (telephone 401-455-4137). Since space is limited, it may also be necessary to limit the number of volunteers present at the table at any one time. The Committee on Human Rights may delegate a person to be present at the table at any or all times, taking precedence over other volunteers.

Any material which is not a petition (e.g., advertisements, resumes) will be removed by the staff. At the end of registration on Saturday, any material on the table will be discarded, so individuals placing petitions on the table should be sure to remove them prior to the close of registration.

Telephone Messages: A telephone message center is located in the registration area to receive incoming calls for

participants. The center is open from January 12 through 16 during the hours that the Registration Desk is open. Messages will be taken and the name of any individual for whom a message has been received will be posted until the message has been picked up at the message center. Once the registration desk has closed for the day there is no mechanism for contacting participants other than calling them directly at their hotel. The telephone number of the message center will be announced later.

Travel: In January, San Antonio is on Central Standard Time. There is regular airline service to the San Antonio International Airport by several major airline carriers. The airport is a little over eight miles from the city center, which takes about ten minutes to reach by taxi.

For Amtrak information calll-800-872-7245. Most major car rental agencies maintain desks at the

airport. The Joint Meetings Committee has designated Hertz as the official car rental company for the meeting. Participants should contact the Hertz representative at 1-800-654-2240 as early as possible and use the meeting number 10934 to take advantage of special rates. These rates are guaranteed one week prior to and one week after the meeting.

For some years now, the AMS-MAA Joint Meetings Committee has engaged a travel agent for the January and August meetings in an effort to ensure that everyone attending these meetings is able to obtain the best possible airfare. Every ticket ordered through the official agency helps to reduce the AMS and MAA costs. This service is being performed by TRAVCON; their advertisement can be found elsewhere in this meeting announcement.

Weather: The location of San Antonio on the edge of the Gulf Coastal Plains results in a modified subtropical climate, predominantly continental during the winter months. The average daily high temperature for January is 62° F, and the daily low 42° F.

AMS-MAA Joint Program Committee Richard A. Askey, Hermann Flaschka, Roger A. Hom (Chair), and Richard A. Tapia.

AMS Program Committee for National Meetings Spencer Bloch, Hermann Flaschka, Robert M. Fossum (exofficio), Dusa McDuff, H. W. Lenstra, Nancy K. Stanton (Chair), and Mary F. Wheeler.

MAA Program Committee for the San Antonio Meeting Richard A. Askey, David W. Ballew (ex-officio), Manuel P. Berriozabal, Linda H. Boyd, James W. Daniel, Leonard Gillman, Roger A. Hom, Maria M. Klawe, Bruce P. Palka (Chair), Don W. Scheuer, Jr., and RobertS. Smith.

Local Arrangements Committee Shair Ahmad (Chair), Don Bailey, W. Wistar Comfort (exofficio), William H. J aco (ex -officio), Carol Redfield, Kenneth A. Ross (ex-officio), David Sanchez, Gene Sims, Marcia P. Sward (ex-officio), and Betty Travis.


Timetable (Central Standard Time)

All sessions are In the San Antonio Convention Center or the Marriott Rlverwalk. The AMS Short Course sessions are In the San Antonio Convention Center.

Monday, ~,.~" /~~·~' January 11 ematical Society Association of America

MORNING AMS SHORT COURSE SERIES Wavelets and applications

8:30 a.m. - 5:30 p.m. SHORT COURSE REGISTRATION

9:15a.m. -10:30 a.m. SHORT COURSE LECTURE #1 Orthonormal wavelet bases on wavelet transforms Ingrid Daubechies

10:45 a.m.- noon SHORT COURSE LECTURE #2 Title to be announced Yves Myer

AFTERNOON

2:00p.m.- 3:15p.m. SHORT COURSE LECTURE #3 Wavelets and fast numerical algorithms Gregory Beylkln

3:30 p.m. - 4:45 p.m. SHORT COURSE LECTURE #4 Adapted waveform analysis, wavelet packets and local cosine libraries Ronald R. Coifman

4:45p.m.- 5:15p.m. Discussion period

Tuesday, /:'~" / ~~~' January 12 hematical Society Association of America

MORNING 8:30a.m. - 4:00p.m. BOARD OF GOVERNORS' MEETING

9:00a.m. - 5:00p.m.

9:15a.m. - 10:30 a.m. SHORT COURSE LECTURE #5 Wavelets and. differential operators with variable coefficients Philippe Tchamitchlan


~~· anizations

/~· Organizations

ASSOCIATION FOR WOMEN IN MATHEMATICS WORKSHOP

······························ ......... .. .... . - ................... ..,1l:l"''lllliillliiiiMBall•a-~~·-~~~~HII-aa!lwaaaillll•mr····-···-··---·--------~-·---·~--···--··-·---

Tuesday, January 12

MORNING (cont'd)

10:45 a.m. - noon

AFTERNOON 2:00p.m.- 3:15p.m.

2:00 p.m. - 7:00 p.m.

3:00p.m. -7:00p.m.

3:30 p.m. - 5:00 p.m.

5:00p.m. -10:00 p.m.

6:30 p.m. - 8:00 p.m.

6:45 p.m. - 9:45 p.m.

Wednesday, January 13

MORNING 7:30 a.m. - 4:00 p.m.

9:00a.m. -9:30a.m.

7:30a.m. - 4:00 p.m.

8:00a.m. - 10:55 a.m.

/'''"" / M~:'::,atical Society

SHORT COURSE LECTURE #6 Nonlinear wavelet methods for recovery of objects from noisy and indirect observations David Donoho

SHORT COURSE LECTURE #7 Adapted bases in analysis and signal processing M. Victor Wickerhauser

COUNCIL MEETING

SHORT COURSE Discussion period

MATHCHATS AND GRADUATE STUDENT RECEPTION

/.merican / M';thematical Society

Timetable

/ematloaJ / As~o~i~tion of America

REGISTRATION FOR JOINT MEETINGS

Gallery

/.athematical / A~;ociation of America

EMPLOYMENT REGISTER

CONSORTIUM FOR MATHEMATICS AND ITS APPLICATIONS COUNCIL MEETING

AWM WORKSHOP DINNER

~ther / O~anizations

EMPLOYMENT REGISTER ORIENTATION SESSION


Gallery

AMS-MAA SPECIAL SESSION Mathematics and education reform, I


Wednesday, January 13 {cont'd)

MORNING (cont'd)

8:00a.m. - 10:55 a.m.

8:00a.m.- 10:00 a.m.

9:30a.m. - 10:55 a.m.

9:30a.m. -10:55 a.m.

912

/''"" / M~~%atical Society

SPECIAL SESSIONS

Continuum theory and dynamical systems, I

Combinatorial methods in computational algebraic geometry, I

C*-algebras: 1943-1993 (a 50-year celebration), I

Stability and asymptotic behavior of difference equations, I

Topology and geometry, I

Holomorphic spaces, I

SESSIONS FOR CONTRIBUTED PAPERS

Timetable

/ema-/ As~~~tion of America

CONTRIBUTED PAPER SESSIONS

Assessment programs tor the undergraduate major, I

Empowering the mathematical community, I

Interactive learning environments, I

Using data and computers in teaching statistics, I

MINICOURSE #1 (Part A) Alternatives to the lecture method in collegiate mathematics

MINICOURSE #2 (Part A) How to make effective use of inexpensive pocket computers to develop the concepts and technigues of calculus

MINICOURSE #3 (Part A) All right! I've got a graphing calculator. What happens next?

MINICOURSE #4 (Part A) Unifying themes in discrete mathematics

AMS-MAA PANEL DISCUSSION Best snapshots from doctoral departments

CALCULUS REFORM STUDY GROUP, AND THE CUPM SUBCOMMITTEE ON CALCULUS REFORM AND THE FIRST TWO YEARS (CRAFTY) PANEL DISCUSSION Calculus reform and the AP calculus exam


................................................................................................................................................................. ·-··-··· -------Wednesday, January 13 (cont'd)

MORNING (cont'd) 10:05 a.m.- 10:55 a.m.

11:10a.m.- noon

AFTERNOON 1 :00 p.m. - 2:00 p.m.

1 :00 p.m. - 5:00 p.m.

2:15p.m.- 3:05p.m.

2:15 p.m. - 6:00 p.m.

/_ / Ma~:%atical Society

INVITED ADDRESS On the maximal density of spherepacking in Euclidian 3-space Wu-Yi Hsiang

Timetable

/sna-/ A::~~tion of America

AMS-MAA INVITED ADDRESS The geometry of the universe

Robert A. Osserman

COLLOQUIUM LECTURE I Nondifferential equations and Lagrangian coordinates Luis A. Caffarelli

BOOK SALE North Banquet Hall


EXHIBITS North Banquet Hall

INVITED ADDRESS I am ashamed to tell you to how many figures I ca"ied these computations, having no other business at the time Peter B. Borwein

AMS-MAA SPECIAL SESSION Mathematics and education reform, II

SPECIAL SESSIONS Continuum theory and dynamical systems, II

History of mathematics, I

Small divisor problems in nonlinear analysis, I

Combinatorial methods in computational algebraic geometry, II

C*-algebras: 1943-1993 (a 50-year celebration), II

Stability and asymptotic behavior of difference equations, II

Topology and geometry, II

CONTRIBUTED PAPER SESSIONS Impact of non-traditional instructional methods on testing and evaluation, I

Linear algebra, I


I

913

Wednesday, January 13 (cont'd)

AFTERNOON (cont'd)

2:15p.m.- 6:00p.m.

2:15p.m.- 4:15p.m.

2:15p.m.- 6:00p.m.

3:20 p.m. - 4:10 p.m.

3:20 p.m. - 4:20 p.m.

3:30 p.m. - 4:20 p.m.

4:20 p.m. - 4:50 p.m.

4:25 p.m. - 5:30 p.m.

4:30 p.m. - 6:30 p.m.

4:30 p.m. - 6:30 p.m.

914

/,,., / M~%atical Society

SPECIAL SESSIONS

Model theory and algebra, I

Holomorphic spaces, II

Differential geometry, I


Timetable

/ ..... ,"" / As~o~~tion of America

MINICOURSE #5 (Part A) Using supercalculators to enhance instruction and learning in linear algebra

MINICOURSE #6 (Part A) Teaching the introductory statistics course

AMS-MAA-NAM SESSIONS Mathematics: A catalyst for educational progress in the year 2000

and beyond-Filling the educational pipeline

COMMITTEE ON SCIENCE POLICY GOVERNMENT SPEAKER Speaker and title to be announced

Program A

INVITED ADDRESS A special curriculum for exceptional students and integration in finite terms Robert D. Rlchtmyer

NSF PRESENTATION

AWM PANEL DISCUSSION

The fiscal year 1993 budget and opportunities at NSF

SECTION OFFICERS' MEETING

MINICOURSE #7 (Part A) . Project CALC: Calculus as a laboratory course

MINICOURSE #8 (Part A) Environmental models

AWM BUSINESS MEETING


························-······················································-· .. ··········-······-················--------

Wednesday, January 13 (cont'd)

EVENING

6:00 p.m. - 7:00 p.m.

6:30 p.m. - 8:00 p.m.

7:15p.m.- 8:15p.m.

8:30 p.m. - 9:30 p.m.

9:30 p.m. - 11 :00 p.m.

Thursday, January 14

MORNING

7:30 a.m. - 4:00 p.m.

/ rlca' / M~~%atical Society

JOSIAH WILLARD GIBBS LECTURE Fluid dynamics and fiber architecture of the heart and its valves Charles S. Peskin

/merican / M~thematical Society

Timetable

/ ""'"'""' / As~o~~tion of America

SOCIAL FOR FIRST TIME ATIENDEES

/.athematical / A~~~ciation of America


Gallery

MATHEMATICIANS AND EDUCATION REFORM NETWORK BANQUET

ICEMAP SESSION Opportunities at ICEMAP agencies

AWM RECEPTION

~ther / o~'anizations

8:00 a.m. - 9:00 a.m. EMPLOYMENT REGISTER DISTRIBUTION OF SCHEDULES

9:00 a.m. - 5: 00 p.m.

8:00 a.m. - 10:55 a.m.

EMPLOYMENT REGISTER INTERVIEWS

AMS-MAA SPECIAL SESSION Mathematics and education reform, Ill

AMS-MAA SPECIAL SESSION Environmental modeling, I


Thursday, January 14 (cont'd)

MORNING (cont'd)

8:00 a.m. - 10:55 a.m.

8:00 a.m. - 10:00 a.m.

8:00 a.m. - 9:20 a.m.

8:00 a.m. - 9:50 a.m.

9:00 a.m. - 9:50 a.m.

916

/_ / M~:%atical Society

SPECIAL SESSIONS Continuum theory and dynamical systems, Ill

History of mathematics, II

Combinatorial methods in computational algebraic geometry, Ill

C*-algebras: 1943-1993 (a 50-year celebration), Ill

Differential geometry, II

Stability and asymptotic behavior of difference equations, Ill

Topology and geometry, Ill

Model theory and algebra, II

Holomorphic spaces, Ill


Timetable

/ ematioal / As~o~~tion of America

CONTRIBUTED PAPER SESSION Assessment programs for the undergraduate major, II

Interactive learning environments, II

MINICOURSE #1 (Part B) Alternatives to the lecture method in collegiate mathematics

MINICOURSE #9 (Part A) Earth algebra: College algebra with applications to environmental issues

COMMITTEE ON MATHEMATICIANS OUTSIDE ACADEMIA PANEL DISCUSSION Mathematical life outside academia: common problems, goals and solutions

SUMMA WORSHOP Intervention projects for minority pre-college students


/, / Or~~~f~ations

AWM EMMY NOETHER LECTURE Title and speaker to be announced


MORNING (cont'd)

9:00 a.m. - 5:00 p.m.

9:00 a.m. - 5:00 p.m.

10:05 a.m.- 10:55 a.m.

11:10a.m.- noon

AFTERNOON noon -1:00 p.m.

noon - 2:00 p.m.

1 :00 p.m. - 2:00 p.m.

2:15p.m.- 3:05p.m.

2:15p.m.- 4:10p.m.

2:15p.m.- 4:10p.m.

-------··-~--------

/"''" / M~~%atical Society


Timetable

/.~~ / As~o~~tion of America



INVITED ADDRESS Processing our image of minorities in mathematics Sylvia T. Bozeman

AMS-MAA INVITED ADDRESS Ramanujan, the lost notebook and I

George E. Andrews

COLLOQUIUM LECTURE, II Nondifferential equations and Lagrangian coordinates Luis A. Caffarelli

INVITED ADDRESS Sparse systems of polynomial equations Bernd Sturmfels

NATIONAL SCIENCE FOUNDATION Informal discussion group

CAREER FAIR

AMS-MAA SPECIAL SESSION Environmental modeling, II

SPECIAL SESSIONS History of mathematics, Ill

Small divisor problems in nonlinear analysis, II

Differential geometry, Ill

Model theory and algebra, II/

Holomorphic spaces, IV

Low dimensional geometric dynamical systems, I

CONTRIBUTED PAPER SESSIONS Empowering the mathematical community, II

Impact of non-traditional instructional methods on testing and evaluation, II

Mathematics and the arts, I

Using data and computers in teaching statistics, II


---------111111111111111'"''''"''''''''''''''''''''''''''"''''"''''''"''"'"''"'"''''"''''"''-''"''"'''"----····---······--·-·····-·-········-··-···--"-----··-

Timetable

Thursday, ~~" ft~ma- fo January 14 (cont'd) matical Society ation of America zations

AFTERNOON (cont'd) SPECIAL SESSION STUDENT CONTRIBUTED PAPER

2:15 p.m. - 4:10 p.m. Quantum groups, I SESSION

SESSIONS FOR CONTRIBUTED COMMITTEE ON COMPUTERS IN PAPERS MATHEMATICS EDUCATION

PANEL DISCUSSION Progress in mathematics education using computer graphics

2:15p.m.- 4:10p.m. LIBRARY COMMITTEE PANEL DISCUSSION COMMITTEE ON TESTING Publication costs: are they controllable? PANEL DISCUSSION

Assessment: its role in mathematics reform

AMS-MAA-NAM SESSIONS Mathematics: A catalyst for educational progress in the year 2000

and beyond-Filling the educational pipeline Program B

2:15p.m.- 4:15p.m. MINICOURSE #2 (Part B) How to make effective use of inexpen-sive pocket computers to develop the concepts and techniques of calculus

MINICOURSE #3 (Part B) All right! I've got a graphing calculator. What happens next?

MINICOURSE #4 (Part B) Unifying themes in discrete mathematics

MINICOURSE #9 (Part B) Earth algebra: College algebra with

3:20p.m.- 4:10p.m. INVITED ADDRESS applications to environmental issues

You can't hear the shape of a drum Carolyn Gordon

4:25 p.m. - 4:55 p.m. MAA BUSINESS MEETING

5:00 p.m. - 5:30 p.m. AMS BUSINESS MEETING

5:30 p.m. - 7:30 p.m. TWO-YEAR COLLEGE RECEPTION



EVENING 6:00 p.m. - 8:00 p.m.

6:30 p.m. - 7:30 p.m.

7:00 p.m. - 8:30 p.m.

7:30p.m. -10:00 p.m.

7:30 p.m. - 9:30 p.m.

Friday, January 15

MORNING

7:30 a.m. - 4:00 p.m.

9:00 a.m. - 5:00 p.m.

8:00 a.m. - 10:55 a.m.

8:00 a.m. - 9:20 a.m.

/ "'"' / M~:~atical Society

Timetable

/ematioal / As~:~~tion of America

MINICOURSE #5 (Part B) Using superca/culators to enhance instruction and learning in linear algebra

MINICOURSE #6 (Part B) Teaching the introductory statistics course

MINICOURSE #7 (Part B) Project CALC: Calculus as a laboratory course

MINICOURSE #8 (Part B) Environmental models

JOINT POLICY BOARD FOR MATHEMATICS SESSION

CAS REUNION

CONTRIBUTED PAPER SESSION Linear algebra, Part B

TESTING USER GROUP

/.merican / M';thematical Society

.. . /.athematical

/ A~~ociation of America


Gallery

EMPLOYMENT REGISTER INTERVIEWS

AMS-MAA SPECIAL SESSION The state of research in undergraduate mathematics education: problems and prospects, I

SCIENCE POLICY SESSION


~ther / O~anizations

919

....................................................................................................................................................................................... ______ _ Timetable

Friday, ~= ~~ml~ fo January 15 (cont'd)

matical Society ation of America zations

MORNING (cont'd) SPECIAL SESSIONS CONTRIBUTED PAPER SESSIONS

8:00 a.m. • 10:55 a.m. History of general topology, I "Capstone" courses for senior mathematics majors, I

Commutative algebra, I Recreational mathemagical computing, I

Operator theory and triangular operator algebras, I

Teaching mathematics to multicultural and multilingual students, I

Eigenvalues in Riemannian geometry, I

Use of visualization in the teaching of lntegro-differential equations: stability mathematics, I and control, I

Low dimensional geometric dynamical systems, II


8:00 a.m. • 10:55 a.m. AMS·MAA POSTER SESSION

Calculus reform

8:00 a.m. • 10:00 a.m. MINICOURSE #1 0 {Part A) Why, when and how to use CAS calcula· tors in calculus and differential equations instruction

MINICOURSE #11 {Part A) Using group projects in calculus

MINICOURSE #12 {Part A) Bringing calculus to life

MINICOURSE #13 {Part A) Teaching mathematical modeling

9:30a.m. ·10:55 a.m. PANEL DISCUSSION Precalculus reform

CUPM SUBCOMMITTEE PANEL DISCUSSION Tilting at windmills-Quantitative literacy for college students


Friday, January 15 (cont'd}

MORNING (cont'd)

9:00 a.m. - 9:50 a.m.

9:00 a.m. - 10:00 a.m.

9:00 a.m. - 5:00 p.m.

9:00 a.m. - 5:00 p.m.

9:35 a.m. - 10:55 a.m.

10:00 a.m. -11:00 a.m.

10:05 a.m. -10:55 a.m.

11:10a.m .. - noon

AFTERNOON

noon - 1 :00 p.m.

1 :00 p.m. - 2:00 p.m.

1:00 p.m.-4:10p.m.

1:00. p.m.-4:10p.m.

Timetable

/''"'' / M~~~atical Society

INVITED ADDRESS General hypergeometric functions and representation theory of Lie algebras and quantum groups Alexander Varchenko


PANEL DISCUSSION Advanced test of the graduate record examination

INVITED ADDRESS Quantum groups: at the gates of the non-commutative world Leon Takhtajan

/ amatloal / As~:~~tion of America



AMS-MAA INVITED ADDRESS Sign-solvable linear systems and their matrices

Richard A. Brualdi

COLLOQUIUM LECTURE, Ill Nonlinear differential equations and Lagrangian coordinates Luis A. Caffarelli

NATIONAL SCIENCE FOUNDATION Informal Discussion Group

AMS-MAA SPECIAL SESSION The state of research in undergraduate mathematics education: problems and prospects, II

SPECIAL SESSIONS Banach space theory, I


ASSOCIATION FOR SYMBOLIC LOGIC INVITED ADDRESS Title to be announced Richard Laver

I

ASL INVITED ADDRESS Title to be announced Eberhard Herrmann

ASL INVITED ADDRESS Title to be announced Toniann Pitassi

921

.......................... -··-···-··"··-.. ···········-.. ··-······· ······-·--·-············· ·····················-····················-· ... ··-------Friday, January 15 (cont'd)

AFTERNOON (cont'd)

1 :00 p.m. - 4:10 p.m.

1 :00 p.m. - 3:00 p.m.

1 :00 p.m. - 2:30 p.m.

2:00 p.m. - 3:50 p.m.

2:00 p.m. - 4:00 p.m.

2:15p.m.- 4:10p.m.

922

/,oan / M~~~atical Society

SPECIAL SESSIONS History of general topology, II

Commutative algebra, II

Operator theory and triangular operator algebras, II

Quadratic forms, I

Eigenvalues in Riemannian geometry, II

Dynamics of systems with infinitely many degrees of freedom, I

Low dimensional geometric dynamical systems, Ill

Modular forms and related topics, I

Quantum groups, II


Timetable

/emallcal / A::~~tion of America

CONTRIBUTED PAPER SESSIONS Linear algebra, Ill

Teaching mathematics to multicultural and multilingual students, II

STUDENT WORKSHOP A

CALCULUS REFORM STUDY GROUP Calculus reform today

JPBM COMMITTEE ON PROFESSIONAL REWARDS AND RECOGNITION DISCUSSION

MINICOURSE #14 (Part A) Linear algebra, applications and computing

MINICOURSE #15 (Part A) The Harvard calculus reform project: Hands-on experience with project materials


ASL CONTRIBUTED PAPER SESSION

ROCKY MOUNTAIN MATHEMATICS CONSORTIUM BOARD OF DIRECTORS' MEETING

Friday, January 15 (cont'd)

AFTERNOON (cont'd)

2:15p.m.- 3:05p.m.

2:30 p.m. - 4:00 p.m.

3:20p.m.- 4:10p.m.

4:25 p.m. - 6:25 p.m.

7:00 p.m. - 9:00 p.m.

7:00 p.m. - 9:00 p.m.

7:30p.m. - 8:20 p.m.

7:30 p.m. - 900 p.m.

7:30 p.m. - 9:00 p.m.

7:30 p.m. - 9:30 p.m.

7:30 p;m. - 10:00 p.m.

..................................................... ~ --------IIJIRf::£'111111.!1!4'1!ii:J~!!i!! ..• R .. ifflti ....

/_ / M~:~atical Society

COMMITTEE ON SCIENCE POLICY PANEL DISCUSSION Resources for excellence in academic mathematical sciences departments

Timetable

/ematiool / As~o~~tion of America

MONTHLY CENTENNIAL CELEBRATION, SESSION I The birth of the Monthly Robert A. Rosenbaum

Do mathematicians read the Monthly? Then and now. Paul R. Halmos

MONTHLY CENTENNIAL CELEBRATION, SESSION II The Monthly problem section Murray S. Klamkin

The Putnam Prize Competition and the Monthly Andrew M. Gleason

AMS-MAA PRIZE SESSION I

NATIONAL ASSOCIATION OF MATHEMATICIANS SESSION Presentations by recent doctoral recipients

NAMSESSION Birds of a feather

JPBM DEPARTMENT CHAIRS PRESENTATION

Chairing the Mathematics Department in the 1990s

THIRD ANNUAL STUDENT CHAPTERS' LECTURE Touring a torus Joseph A. Gallian

COMMITTEE ON THE PARTICIPATION OF WOMEN SPECIAL PRESENTATION 1992 Micro-inequities skits

VIDEO PRESENTATIONS The Alhambra past and presentA geometer's odyssey

MAA MONTHLY CENTENNIAL BANQUET

ACTUARIAL FACULTY FORUM


-------·····················--····-················"····-·"··-·······-···············-·······-···--·-·······-·-·-···-··--····-········--.. ·······

Timetable

Saturday, ~~" ~~·- ~· January 16 matical Society ation of America zations

MORNING

7:30 a.m. - 3:00 p.m. REGISTRATION FOR JOINT MEETINGS Gallery

8:00 a.m. - 10:55 a.m. SPECIAL SESSIONS CONTRIBUTED PAPER SESSIONS

Banach space theory, II Mathematics and the arts, II

History of general topology, Ill Recruitment and retention of women in mathematics revisited, I

Commutative algebra, Ill

STUDENT CHAPTER

Operator theory and triangular opera-SESSION

tor algebras, Ill

Quadratic forms, Ill

Dynamics and computation in neural networks, I

Dynamics of systems with infinitely many degrees of freedom, II

lntegro-differential equations: stability and control, II

Modular forms and related topics, II

Ordered algebraic structures, I

Quantum groups, Ill


8:00a.m. -10:00 a.m. MINICOURSE #16 (Part A) Instituting a mathematics place-ment program: Creating order out ·of chaos in freshman mathematics

MINICOURSE #17 (Part A) Mathematics in a real and complex world

8:30 a.m.-10:00 a.m. COMMITTEE ON EDUCATION PANEL DISCUSSION The Federal Coordinating Council for Science, Engineering, and Technology (FCCSET) initiative on education and human resources ASL INVITED ADDRESS

9:00 a.m. - 9:50 a.m. Title to be announced SyFriedman


Saturday, January 16 (cont'd)

MORNING (cont'd)

9:00 a.m. - 10:00 a.m.

9:00 a.m. - 10:55 a.m.

9:00 a.m. - noon

9:00 a.m. - noon

10:00 a.m. -10:55 a.m.

10:00 a.m. - 11:00 a.m.

10:05 a.m.- 10:55 a.m.

11:10 a.m.- noon

AFTERNOON

noon - 1:00 p.m.

1 :00 p.m. - 2:00 p.m.

1 :00 p.m. - 2:00 p.m.

1 :00 p.m. - 5:30 p.m.

________ .............................................. . American

Mathematical Society

Timetable

Mathematical Association of America

Other Organizations

-T~------------------------r--------------------------r-------------------------


COMMITTEE ON RESEARCH IN UNDERGRADUATE EDUCATION SPECIAL PRESENTATION What students do know, don't know, and could know about functions: Implications for undergraduate mathematics education Patrick W. Thompson

STUDENT WORKSHOP B



MONTHLY CENTENNIAL CELEBRATION, SESSION Ill A pearl of algebra from the Monthly Harley Flanders

Ramanujan , the Monthly, and serendipity George E. Andrews

AMS-MAA INVITED ADDRESS Mathematical modeling of biodegradation of organic contaminants in ground water

Mary F. Wheeler

NATIONAL SCIENCE FOUNDATION Informal Discussion Group

POETRY READING

AMS-MAA SPECIAL SESSION The state of research in undergraduate math

ematics education: problems and prospects, Ill


NAM PANEL DISCUSSION Underrepresented minorities in the graduate school mathematical pipeline

NAM BUSINESS MEETING

ASL INVITED ADDRESS Title to be announced David Seetapun

ASL INVITED ADDRESS Title to be announced Jan Krajicek

NAM CLAYTOR LECTURE Some results on the approximation of invariant measures of finite dimensional mathematics FernY. Hunt

925

AFTERNOON (cont'd)

1 :00 p.m. - 5:30 p.m.

1:00 p.m. - 3:00 p.m.

2:00 p.m. - 3:00 p.m.

926

Timetable

American Mathematical Society

SPECIAL SESSIONS Banach space theory, Ill

Commutative algebra, IV

Operator theory and triangular operator algebras, IV

Ordered algebraic structures, II

Quadratic forms, IV

Eigenvalues of Riemannian geometry, Ill

Dynamics and computation in neural networks, II

Dynamics of systems with infinitely many degrees of freedom, Ill

lntegro-differential equations: stability and control, IV

Modular forms and related topics, Ill


Mathematical Association of America

CONTRIBUTED PAPER SESSIONS "Capstone" courses for senior mathematics majors, II

Recreational mathemagical computing, II

Recruitment and retention of women in mathematics revisited, II

Use of visualization in the teaching of mathematics, II

MINICOURSE #10 (Part B) Why, when, and how to use CAS calculators in calculus and differential equations instructions

MINICOURSE #11 (Part B) Using group projects in calculus

MINICOURSE #12 (Part B) Bringing calculus to life

MINICOURSE #13 (Part B) Teaching mathematical modeling


Other Organizations

ASL INVITED ADDRESS Title to be announced Chris Laskowski

Saturday, January 16 (cont'd)

AFTERNOON (cont'd)

2:15p.m.- 3:05p.m.

2:15p.m.- 3:45p.m.

3:15p.m.- 5:15p.m.

3:30 p.m. - 5:00 p.m.

7:30p.m. -10:00 p.m.

/,oan / M~~%atical Society

INVITED ADDRESS Simulations of flows in porous media Jim Douglas, Jr.

25-YEAR MEMBER BANQUET

Timetable

/.mat .. , L-~~~tion of America

COMMITTEE ON SYMBOLIC COMPUTER SYSTEMS PANEL DISCUSSION

MINICOURSE #14 (Part C) Linear algebra, applications and computing

MINICOURSE #15 (Part B) The Harvard calculus reform project: Hands-on experience with the project materials

MINICOURSE #16 (Part B) Instituting a mathematics placement program: Creating order out of chaos in freshman mathematics

MINICOURSE #17 (Part B) Mathematics in a real and complex world

SPECIAL INAUGURAL TEACHING AWARD SESSION


/, / Or~~~~~ations

927

Mathematical Sciences Employment Register January 13, 14, & 15 San Antonio Convention Center

Overview of the 1993 Employment Register The Mathematical Sciences Employment Register, held annually at the Joint Mathematics Meetings in January, provides opportunities for mathematical scientists seeking professional employment to meet employers who have positions to be filled. Job announcements and brief resumes, prepared by employers and applicants respectively, are assigned code numbers and circulated to preregistered participants in advance and at the meetings, so that members of each group may determine which members of the other group they would like to have an opportunity to interview. Requests for interviews are submitted on forms that are turned in at the Employment Register desk by all participants the day before interviewing begins. The algorithm used in the interview scheduling program selects interviews solely from among the requests submitted by employers and applicants. Since it does NOT compare an applicant's brief resume with an employer's job announcement, participants should be aware that interviews between poorly matched participants may occur, if requested.

A new and substantially improved algorithm for scheduling employer-applicant interviews will be used at the San Antonio Employment Register. For the first time, priority will be given to certain classes of employer and applicant requests. Most importantly, mutual requests (requests where an applicant and employer have each asked to interview the other) will be given the highest priority. An improvement over previous years' schedules for employers is that they may expect to see most of the applicants they request. And applicants now have the opportunity to designate a limited number of their requests as "high priority" requests. The system will implement these priorities while still scheduling a maximal, or near-maximal, number of total interviews over the two days at the Register. The new system is based on computer code developed by J.P. Jarvis, D.R. Shier, and M. Myers of the Department of Mathematical Sciences, Clemson University, under a contract with the AMS sponsored jointly by AMS and Mathematical Association of America.

One significant procedural change at the 1993 Employment Register will be the collection of ALL interview requests at one time on Wednesday; therefore, participants must appear to submit their request/availability forms by 4:00 p.m. Wednesday, since the entire two-day interview schedule will be produced Wednesday night.

Preregistration Procedures for Applicants Preregistration is an important step in Employment Register participation that offers several advantages to applicants: • Each applicant's typed resume form will be photographi

cally reproduced in the December 1992 issue of Employment Information in the Mathematical Sciences, which will be distributed in advance to all preregistered employers. Applicant resume forms received after November 13 cannot be included in ElMS. No changes can be made to the form after the November 13 deadline.

• Employment Register preregistration fee for applicants is $30. The on-site registration fee is $60. In addition, all participants must also pay appropriate preregistration fees, or the higher on-site registration fees, for the Joint Meetings.

• Preregistered applicants will receive their badge, program, and Employment Register materials two to three weeks in advance of the meeting, unless they indicate otherwise. This year, the package will include the complete job announcements received from preregistered employers. Applicants may preregister by submitting the Joint Meet-

ings Preregistration/Housing form and applicant resume form (all found in the back of this issue) to the Mathematics Meetings Service Bureau by November 13, 1992. These forms must be accompanied by payment of the appropriate fees. Those who preregister for the Joint Meetings after November 13 must register for the Employment Register on-site. Please follow the instructions on preparation of the applicant resume form (found near the resume form in the back of this issue).

Applicants not planning to attend Applicants seeking professional positions in the mathematical sciences who do not plan to attend the meeting in San Antonio


may submit resumes for publication in the December issue of ElMS if they use the Mathematical Sciences Employment Register Form for Applicants at the back of this issue and observe the deadline of November 13. There is no charge for this service. (Applicants' resumes will not be posted at the Employment Register if the applicant is not attending the meeting.)

Preregistration Procedures for Employers Employers are encouraged to preregister one or more interviewers for the Employment Register. The fee for preregistered employers is $125 for the first interviewer, and $60 for each additional interviewer. On-site registration fees are $175 for the first interviewer and $75 for each additional interviewer. Preregistered employers, and employers registered on-site, must also register for the Joint Meetings and pay the appropriate Joint Meetings fee.

This year employer forms submitted by preregistered employers will be photographically reproduced in a booklet which will be distributed to all preregistered applicants. Employers will receive their badges, programs, and Employment Register material in advance, including the December issue of Employment Information in the Mathematical Sciences, which contains all the resume forms of preregistered applicants.

To preregister employers should submit the Employer form and the Joint Meetings Preregistration/Housing form (both found in the back of this issue), along with payment of the appropriate fees, to the Mathematics Meetings Service Bureau by November 13, 1992.

One employer form should be submitted for each position, or set of positions, for which interviews will be conducted. The number and names of co-interviewers must be listed on the employer form and the interviewers will be assigned to adjacent tables. All co-interviewers should preregister at the same time.

Each interviewer listed on an employer form will be charged separate Joint Meetings and Employment Register fees; however, the "additional interviewers" listed on the form will be charged a lower Employment Register fee. If individuals from an institution want to interview separately for different positions, they will be assigned a separate code number and will each pay "first interviewer" fees.

It is the policy of some institutions to pay directly for employer fees. If a payment of this type is made separately from the submission of the preregistration materials, it is important that the institution's fiscal department include the name of the department and interviewer with their payment so that proper credit can be made in Providence.

Employers Not Planning to Interview Employers who do not plan to participate in the Employment Register may display a job description. This description must be submitted on the employer form which appears in the back of this issue, with the appropriate box checked indicating that no interviews will take place. A fee of $30 is charged for this service. If the form is received in the Providence

office (with payment) by the November 13 deadline, it will appear in the Winter List of Employers. Forms received with payment in the Providence office after that deadline will be displayed at the meeting along with the on-site postings. For on-site postings, the fee must be paid at the Joint Mathematics Meetings Registration Desk. Participants should inform the cashier that they would like to post a job description but are not planning to interview and should obtain the proper receipt in order to receive the form necessary for posting. Forms are available at the Employment Register desk.

Registration On-Site Applicants and employers who do not preregister by November 13 may register on-site in San Antonio at the Joint Meetings Registration desk. They must bring their receipt to the Employment Register desk between 7:30 a.m. and 4:00 p.m. on Wednesday, January 13 to receive their materials. Every effort should be made to type the applicant resume or employer form (found in the back of this issue) and bring it to the Register. Forms of on-site applicants and employers will be assigned a code number and displayed at the Employment Register. Unlike previous years, there will be no on-site registration for the Employment Register after 4:00 p.m. Wednesday, January 13.

1993 Employment Register Schedule Wednesday, January 13 7:30a.m. Distribution of Employment Register material for on-site registrants and preregistered participants who did not receive materials by mail. 9:00 a.m. Short (optional) orientation session. 9:30 a.m. - 4:00 p.m. Submission of all interview request forms for both Thursday and Friday interviews. This applies to both preregistered and on-site registrants. Those who do not submit interview request sheets by 4:00 p.m. will be unable to participate in the Employment Register on Thursday and Friday. N.B. No interviews are held on Wednesday. Thursday, January 14 8:00 a.m. Distribution of interview schedules for both Thursday and Friday. 9:00 a.m. - 5:00p.m. Interviews. Friday, January 15 9:00 a.m. -5:00p.m. Interviews.

This year the interview requests for both days will be submitted by 4:00 p.m. on Wednesday, January 13. (No changes can be made to the form once it has been submitted.) All participants in the 1993 Employment Register must submit their interview request/availability forms between 9:30 a.m. and 4:00 p.m. on Wednesday or they will not be included when the interview scheduling program runs Wednesday night. This applies to all employers and applicants, whether preregistered or on-site registrants. Forms submitted with preregistration achieve preregistration for the Employment Register only. These forms do not automatically


................................................ -·····-··-·············· ...................................................... ._ ............................. _________ ... _ ............................................. _._. ________ .,_._ ................... _ .. _. ________ .. _ ....•.... _____ .. _ .... _ ... _. Meetings

include the participants in the interviewing process. Fifteen-minute intervals are allowed for interviews, in

cluding two or three minutes between successive interviews. The interviews are scheduled in half-day sessions: Thursday morning and afternoon, and Friday morning and afternoon, amounting to four half-day sessions for interviews. Participants may choose to indicate unavailability for one or more sessions when they submit interview request forms. However, once scheduled, participants need to make a good faith effort to meet each appointment. Employers or applicants who must cancel an interview should fill out a cancellation form at the Employment Register desk well in advance.

Advice to Applicants Mathematicians seeking employment who participate in the Employment Register should be aware of some objective information concerning recent Employment Registers: • At the 1992 Employment Register in Baltimore, the ratio

of applicants to interviewers was close to six applicants to one interviewer.

• On the first day of interviewing in Baltimore, the average number of interviews for each applicant was between three and four.

• Applicants whose highest degree is a master's or bachelor's should be aware that most jobs listed have required a doctorate.

• Most jobs listed have been academic positions. • In Baltimore, only 8% of employers interviewing repre

sented Ph.D.-granting mathematical sciences departments. • Over 50% of the employers interviewing at the Employ

ment Register in Baltimore indicated on their employer forms that they were restricted by their institution or company to hiring only U.S. Citizens or Permanent Residents.

Applicants should keep in mind that intervi~ws arranged by the Employment Register represent only an initial contact with the employers, and that hiring decisions are not ordinarily made during or immediately following such interviews. Applicants are advised to bring a number of copies of their vita or resume so that they may leave them with prospective employers.

December Issue of Employment Information in the Math-ematical Sciences (ElMS)

The periodical ElMS publishes five issues per year listing open positions in academic, governmental, and industrial organizations, primarily in North America. ElMS is a joint project of the American Mathematical Society (publisher), the Mathematical Association of America, and the Society for Industrial and Applied Mathematics.

The December issue of ElMS contains resumes of persons seeking professional positions in the mathematical sciences. Resumes of applicants taking part in the Employment Register and those not attending will be included in the December 1992 issue provided they are received before the November 13 deadline. Other mathematical scientists who wish to be

included may have their resumes printed if the same deadline is observed.

Additional copies of the December issue of ElMS will be for sale at the AMS Exhibit and Book Sale at the meeting. The price at the meeting is $10. Any copies remaining after the meeting will be available from the Providence office of the Society for $17 each.

Winter List of Employers The Winter List of Employers consists of the position listings submitted by the employers who preregistered for the Employment Register, and those who submitted job descriptions by November 13 but are not interviewing. It will be distributed to the applicants participating in the Register. Others may purchase the Winter List of Employers at the AMS Exhibit and Book Sale at the meeting for $10 each. Any copies remaining after the meeting will be available from the Providence office of the Society for $17 each. The list will not be updated with employers who register at the meeting.

List of Retired Mathematicians Available for Employment The List of Retired Mathematicians will be included in the December and January issues of the publication ElMS. Retired mathematicians who are interested in being included in the list may send the following information to the Coordinator, Mathematical Sciences Employment Register, P.O. Box 6887, Providence, RI 02940.

1. Full name 2. Mailing address 3. Highest degree, year, university 4. Most recent employment, institution 5. Type of position desired 6. Academic or industrial employment preferred 7. Date available for employment (month/year) 8. Geographic location preferred

The deadline for receipt of this information is November 13. Offprints of the list will be available from the Mathematical Sciences Employment Register at the above address.

The Mathematical Sciences Employment Register is sponsored by the American Mathematical Society, the Mathematical Association of America, and the Society for Industrial and Applied Mathematics; it is operated by members of the AMS staff under the general supervision of the AMS-MAA-SIAM Committee on Employment Opportunities.

Questions about the Employment Register should be addressed to the Employment Register Coordinator, the American Mathematical Society, at 401-455-4142, or by electronic mail: CAK®MATH.AMS.ORG. A telephone number will be announced at a later date that will be in service during the hours the Register is open in San Antonio. Participants should note that this telephone number is to be used for contacting the Employment Register desk and is not for contacting participants nor for taking messages. Those who wish to leave messages should call the message center telephone number which will be announced in a future update of the San Antonio meeting announcement.


American Mathematical Society Short Course Series

Introductory Survey Lectures on

Wave lets and Applications San Antonio, Texas, January 11-12, 1993

The American Mathematical Society, in conjunction with its ninety-ninth Annual Meeting, will present a two-day Short Course titled "Wavelets and Applications" on Monday and Tuesday, January 11-12, 1993, at the Convention Center in San Antonio, Texas. The program is under the direction of Ingrid Daubechies · of Rutgers Univeristy and AT&T Bell Laboratories.

The concept of wavelets is a synthesis of ideas from very different fields, ranging from the analysis of integral operators in pure mathematics to the design of efficient compression techniques for speech in electrical engineering. The basic feature of wavelets is that each of them is localized in space (or time) and scale; a decomposition of the object at hand into wavelets is therefore a decomposition into well-localized components, each with its own scale. All this is possible with orthonormal wavelet bases, which are associated with fast numerical algorithms. The Short Course will explain the mathematics of orthonormal wavelet bases and other orthonormal bases with good time-frequency localization properties; it will also give descriptions of several applications of wavelets.

Monday, January 11, 1992 Ingrid Daubechies, Rutgers University and AT&T Bell Lab

oratories, Orthonormal wavelet bases and other wavelet transforms

Yves Meyer, Universite Paris-Dauphine, Title to be announced Gregory Beylkin, University of Colorado, Boulder, Wavelets

and fast numerical algorithms Ronald R. Coifman, Yale University, Adapted waveform

analysis, wavelet-packets, and local cosine libraries

Thesday, January 12, 1992 Philippe Tchamitchian, Faculte des Sciences et Techniques

de Saint-Jerome, Wavelets and differential operators with variable coefficients

David Donoho, Stanford University, Nonlinear wavelet methods for recovery of objects from noisy and indirect observations

M. Victor Wickerhauser, Washington University, St. Louis, Adapted bases in analysis and signal processing

Synopses and accompanying reading lists follow. Lecture notes will be mailed to those who preregister and will be available at the Short Course registration desk for those registering on-site.

Advance registration fee: $70 ($30 student/unemployed/ emeritus). On-site registration fee: $85 ($40 student/ unemployed/emeritus). Registration and housing information can be found in this issue of the Notices. See the section How to preregister and get a room in the meetings section.

Synopses and Reading Lists: Orthonormal wavelet bases and wavelet transforms (Ingrid Daubechies). "Wavelets" are families of functions generated by taking translates and dilates of one single function (in the simplest case and in one dimension; in higher dimensions one starts from a small number of functions). These wavelets can then be used as the basic building blocks out of which all the elements of a wide variety of function spaces can be constructed. One likes to choose the original wavelet so that both it and its Fourier transform are reasonably well localized. As a result, all the different translates and dilates are well-localized in "time" and "frequency", and decomposing an arbitrary function f into wavelets corresponds to decomposing it simultaneously in time and frequency. An attractive feature of using wavelets is that the "sizes" of the different pieces after decomposing f can be used to give upper and lower bounds on the norm off in many function spaces (such as LP with 1 < p < oo, Sobolev, Holder, Besov, ... ,).

Depending on the application, one can choose to have very redundant wavelet families, which give a richly detailed time-frequency picture, and where the wavelet can be chosen almost arbitrarily (provided it has zero integral), or on the contrary to eliminate redundancy completely, ending up with (orthonormal) wavelet bases, where the basic wavelet has to satisfy many constraints. Constructing such orthonormal wavelet bases turns out to be related to a technique in electrical engineering called subband coding, with a few new twists.

The lecture will discuss the wavelet transform in its different guises, and point to the many precursor ideas in different fields of which wavelets can be discovered a synthesis. It will then go on to the explicit construction of numerically effective wavelet bases, and discuss their properties.


------------·--··-·-···-·--·--···-···-·····-·-----........... -····----·· .. ·······-···· .. -·-···--··-···-··-····-······---···· .. ··-······ Short Course Series

[1] I. Daubechies, Ten lectures on wavelets, SIAM-CBMS series (1992)

[2] S. Mallat, Multiresolution approximation and wavelets, Trans. Amer. Math. Soc. 315 (1989), 69-88

[3] Y. Meyer, Ondelettes et operateurs, 1: Ondelettes, Hermann (Paris, 1990)

[4] R. Strichartz, How to construct wavelets, to appear in the MAA Monthly Bulletin, (1992)

Wavelets and fast numerical algorithms (Gregory Beylkin). Wavelet based algorithms in numerical analysis are similar to other transform methods in that vectors and operators are expanded into a basis and the computations take place in this new system of coordinates. However, due to the recursive definition of wavelets, their controllable localization in both space and wave number (time and frequency) domains, and the vanishing moments property, wavelet based algorithms exhibit a number of new and important properties.

For example, the multiresolution structure of the wavelet expansions brings about an efficient organization of transformations on a given scale and of interactions between different neighboring scales. Moreover, wide classes of operators (e.g. Calder6n-Zygmund operators) which naively would require a full (dense) matrix for their numerical description, have sparse representations in wavelet bases. For these operators, sparse representations lead to fast numerical algorithms, e.g., an 0( -logE N) algorithm for the evaluation of N x N matrices on vectors, or an 0(- logE N) algorithm for matrix multiplications, where E is the desired accuracy. Since the performance of many algorithms requiring multiplication of dense matrices has been limited by 0(N3) operations, these fast algorithms address a critical numerical issue.

We note that wavelet based algorithms provide a systematic generalization of the Fast Multipole Method (FMM) and its descendents. (FMM was originally designed for computing potential interactions between N particles in 0( -logE N) operations. It would seem to be impossible to do this calculation in less than N'2 computations, since this is the number of interactions).

These topics will be the subject of the lecture. Starting from the notion of multiresolution analysis, we will consider the socalled nonstandard form (which achieves decoupling among the scales) and the associated fast numerical algorithms. Examples of nonstandard forms of several basic operators (e.g., derivatives) will be computed explicitly.

[1] B. Alpert, G. Beylkin, R. R. Coifman, and V.Rokhlin, Wavelets for the fast solution of second-kind integral equations, SIAM Journal of Scientific and Statistical Computing, to appear 1992. Technical report, Department of Computer Science, Yale University, New Haven, CT (1990)

[2] G. Beylkin, On the representation of operators in bases of compactly supported wavelets, SIAM J. Numer. Anal., to appear 1992

[3] G. Beylkin, R. R. Coifman, and V. Rokhlin, Fast wavelet transforms and numerical algorithms I, Comm. Pure and Appl. Math. 44, (1991), 41-183. Yale University Technical Report YALEU/DCS/RR-696; August 1989

[4] G. Beylkin, R. R. Coifman, and V. Rokhlin, Wavelets in numerical analysis, Wavelets and Their Applications, Jones and Bartlett, (1992), 181-210

[5] L. Greengard and V. Rokhlin, A fast algorithm for particle simulations, J. Comp. Phys., 73 (1) (1987), 325-348

Adapted waveform analysis wavelet-packets and local cosine libraries (Ronald R. Coifman). Adapted wave form analysis, refers to a collection of FFT-like adapted transform algorithms. Given a function or an operator, these methods provide a special orthonormal basis relative to which the function is well represented, and the operator is described by a sparse matrix.

The selected basis functions are chosen inside predefined libraries of oscillatory localized functions (waveforms) so as to minimize the number of parameters needed to describe our object. These algorithms are of complexity N log N, opening the door for a large range of applications in signal and image processing, as well as in numerical analysis.

Our goal is to describe and relate traditional methods of phase space Fourier microlocalization methods to wavelet, wavelet-packet based algorithms by making explicit their relative role in analysis and computation.

Starting with a recent refinement of the windowed sine and cosine transforms, we will derive an adapted local sine transform, show its relation to wavelet and wavelet-packet analysis, and describe an analysis tool-kit illustrating the merits of different adaptive and nonadaptive schemes.

We end with sample applications to signal and image compression, Numerical Analysis, P.D.E., and Operator Theory.

[1] R. Coifman, Adapted multiresolution analysis, computation, signal processing and operator theory, ICM-90 (Kyoto)

[2] R. Coifman, Y. Meyer, and V. Wickerhauser, Wavelet Analysis and Signal Processing, Conference Proceedings on Wavelets, Lowell, MA(1991)

[3] R. Coifman and Y. Meyer, Remarques sur I' analyse de Fourier a fenetre, C. R. Acad. Sci. Paris 312, Serle I (1991), 259-261

[4] I. Daubechies, Orthonormal bases of compactly supported wavelets, Communications on Pure and Applied Mathematics XLI (1988), 909-996

[5] E. Laeng, Une base orthonormale de L 2(R), dont les elements sont bien localises dans I' espace de phase et leurs supports adaptes a toute partition symetrique de l'espace des frequences, C. R. Acad. Sci. Paris 311, Serle I (1990), 677-680

Wavelets and differential operators with variable coefficients (Philippe Tchamitchian). A typical example of the kind of operators we have in mind is L = DAD, in dimension 1, where Dis the derivation, in its self-adjoint form, and A stands for the pointwise multiplication by a bounded function a, defined on the whole line, complex-valued with Re a ~ 1.

Following T. Kato, such an operator is defined through its associated bilinear form, and its domain in L2(R) is an exotic funtional space, except when a is regular enough.

The purpose of this lecture is to show how one can use wavelets bases to simultaneously analyze the differential operator D and the multiplication operator A, in the cases where a is lipschitzian (regular case) and where a is not (rough case). This will be heavily based upon the localization and (eventually adapted) cancellation properties of wavelets bases.


Short Course Series

The analysis of the operator D already strongly uses this set of properties and, as a result, the wavelets appear to almost diagonalize D.

In the regular case, where there is no theoretical mystery with the definition of L, we are interested in numerical computations. We will show that Bony' s paraproduct provides a numerically good approximation of the usual product, which can be used to design new adaptive and fast algorithms.

In the rough case, a different approach is needed, where emphasis is made upon the cancellation properties of the wavelets to be used. By adapting the wavelets in a suitable sense, we will show how one can characterize the domain of L, and draw some other consequences.

In conclusion, we will discuss the preceding methods, describe the state of the art in several dimensions, and single out some open problems.

The definitions and standard results on L can be found in T. Kato, Perturbation theory for linear operators, Springer-Verlag, New York (1966)

The main source about wavelets bases and applications to differential operators with smooth coefficients or, more generally, pseudo-differential operators is

Y. Meyer, Ondelettes et operateurs I, II, Hermann, Paris (1990)

The analysis of the square root of L, in the rough case, is performed in

R. R. Coifman, Y. Meyer, Ondelettes et operateurs III, Hermann, Paris (1991)

The domain of L, in the rough case, is characterized in P. Auscher, Ph. Tchamitchian, Ondelettes et conjecture de Kato, Note

aux C.RA.S., t. 313, Serle I, (1991), 63-66

Nonlinear wavelet methods for recovery of objects from noisy and indirect observations (David Donoho). The problem of recovering signals, spectra, images, and other objects from indirect and/or noisy data occupies science and technology on all scales, from extragalactic astronomy to medical scanning to molecular spectroscopy. It has also generated an extensive literature proposing methods of smoothing, deconvolution, and reconstruction by basically linear methods (linear filtering, kernel smoothing, Fourier damping, least-squares smoothing splines).

Wavelet methods are forcing a re-evaluation of all such methods, and the theory on which they are based. It turns out that very simple nonlinear methods operating in the wavelet domain possess properties which, in theory, render them able to achieve a quality of reconstruction beyond that offered by the current state-of-the-art. Moreover, the visual quality of reconstruction is better also. Traditional methods are not very well suited to real sky maps, brains, etc. Such real objects exhibit spatial variability which simple linear schemes cannot handle well, whereas nonlinear wavelet methods are automatically spatially adaptive. Wavelet methods allow certain theoretical objectives, such as determining how much to smooth a noisy image, which were the object of intense research on the part of many workers, to be put on a completely new footing and solved by algorithmically very simple methods. The fact that, in theory, such simple methods

actually outperform previous methods, often dramatically, is based on new inequalities in multivariate decision theory developed for the needs of wavelet estimation.

This talk will describe some of the background of smoothing, deconvolution, and other inverse problems, some theoretical objectives for rating quality of solutions, and put these together to describe some of the nice optimality properties that wavelet methods offer, both for estimating objects of unknown smoothness, for estimating spatially variable objects, and for solving inverse problems. This work is part of ongoing research with lain Johnstone of Stanford, Gerard Kerkyacharyan of Amiens, and Dominique Picard of Paris.

[1] D.L. Donoho and I.M. Johnstone, New Minimax Problems, Wavelet Thresholding, Adaptive Smoothing. Manuscript. (available by anonymous ftp to playfair.stanford.edu.)

[2] Ideal Spatial Adaptation via Wavelet Shrinkage. Manuscript. (anonymous ftp to playfair.stanford.edu)

[3] Nonlinear Solution of Linear Inverse Problems by WaveletVaguelette Decomposition. Manuscript. (anonymous ftp to playfair.stanford.edu)

Adapted bases in analysis and signal processing (M. Victor Wickerhauser). Various function spaces and commonlystudied operators are much easier to manipulate when represented in an appropriate basis. Traditionally, this has been done with bases of eigenfunctions or with explicit special function bases having particular properties. For example, the sequence of functions { eikxhEz is useful for representing periodic functions destined to be differentiated. The modem approach is to use a general collection of "atoms" to span many function spaces; the function space to which such a superposition belongs is determined by the size of the coefficients. The idea is to pick atoms whose transforms by interesting operators are easy to compute or estimate, thereby getting easy continuity proofs and functional calculi for the operators. Exactly the same problem arises in signal processing, with the added twist that the numerical complexity of practical problems forces us to find efficient bases, i.e., those in which the signals of interest have short expansions.

Recently there has been considerable interest in the construction of orthonormal bases of functions that are well localized in both space and frequency. The exponential functions eikx do not have any time localization, and are therefore ill-suited for studying transient signals or operators that do not commute with translation (i.e., variable coefficient differential operators). Instead, we can use smooth orthonormal wavelets [6] and wavelet packets [3], and orthogonal windowed trigonometric functions [2, 1]. In the lectures I will describe some of these surprisingly simple and elegant recent discoveries. For example, any smooth periodic orthonormal basis yields an orthonormal basis of smooth compactly-supported functions. This fact can be used to build smooth compactly-supported orthonormal bases on certain manifolds.

I will also discuss an algorithm for choosing a basis best adapted to a given signal. We may limit our choice to a large family of rapidly computable basis functions. For example, wavelets are smooth functions of compact support (or possibly rapid decay), which can be made by iterating


.......................................................................................................................................... -.... ____________ ·-··-··-··-·····-·-·-·---··-··-··-·-·······--··-··-·····-··-Short Course Series

multiplier operators called quadrature mirror filters, chopping £ 2 into orthogonal subspaces graded by scale. It is possible to recursively decompose these subspaces to obtain wavelet packets, functions that possess characteristic frequencies as well as scales and positions. Then to every disjoint dyadic cover of the line there corresponds an orthonormal basis, forming a kind of library of basis functions. An optimal basis with respect to one of various cost functionals may be selected from this library [ 4]. Since wavelet packets are like musical notes, the optimal basis is like the easiest instrument on which to play a piece of music. The expansion in this best basis is just the piece scored for the chosen instrument. The analogy with music is apt, since the method works very well for acoustic signal processing [7]. Both the projection and the selection algorithms are fast, and both generalize to higher dimensions. The 2-dimensional best-basis algorithm was used by the FBI to design a fingerprint image compression standard.

I will also discuss numerical algorithms whose complexity can be reduced by the basis choice algorithm, such as principal orthogonal factor analysis [8] and vector quantization in transform coding and signal compression.

[1] P. Auscher, G. Weiss, and M. V. Wickerhauser, Local sine and cosine bases of Coifman and Meyer and the construction of smooth wavelets, Wavelets-A Tutorial in Theory and Applications, C. K. Chui (ed.) ISBN 0-12-174590-2, Academic Press, Boston, MA (1992), 237-256

[2] R. R. Coifman andY. Meyer; Remarques sur I' analyse de Fourier a fen8tre, C. R. Acad. Sci. Paris 312, Serle I (1991), 259-261

[3] R. R. Coifman, Y. Meyer, and M. V. Wickerhauser, Wavelet analysis and signal processing, Wavelets and Their Applications, Jones and Bartlett, Boston, MA, ed. Ruskai et al., ISBN 0-86720-225-4 (1992), 153-178

[ 4] M. V. Wickerhauser and R. R. Coifman, Entropy based methods for best basis selection, IEEE Transactions on Information Theory 32, (March 1992), 712-718

[5] I. Daubechies, Orthonopnal bases of compactly supported wavelets, Communications on Pure and Applied Mathematics XLI (1988), 909-996

[6] S. G. Mallat, Multiresolution approximation and wavelet orthonormal bases of L 2(R), Transactions of the AMS 315 (1989), 69-87

[7] M. V. Wickerhauser, Acoustic signal compression with wavelet packets, Wavelets-A Tutorial in Theory and Applications, C. K. Chui (ed.) ISBN 0-12-174590-2, Academic Press, Boston, MA (1992), 679-700

[8] M. V. Wickerhauser, Fast approximate factor analysis, Curves and Surfaces in Computer Vision and Graphics II, SPIE Proceedings Volume 1610, ISBN 0-8194-0747-X, Boston, MA (1991), 23-32

What is MathDocSM?

934

Math Doc is the document delivery service offered by the American Mathematical Society for users of MR, CMP, and MathSci® who wish to obtain copies of original articles.

This service is particularly useful for items that cannot be easily obtained through interlibrary loan. Examples of such inaccessible items would be articles in Chinese journals that are available in a very small number of United States libraries and Russian collections that are printed in limited quantities.

With access to over 800,000 items in mathematics and related subjects, MathDoc has over a 95% success rate in locating and supplying articles in books, collections, and conference proceedings within three working days.

The price for each item is $14 for the first ten pages or less and $2.50 for each succeeding ten pages or less;

plus copyright royalties* and postage. An invoice is sent with the requested item. There is a 5% discount for VISA and MasterCard prepayments. Documents are mailed first class within North America and airmail elsewhere. Express mail services are available. For documents sent via fax, please add $.50 per page in North America and $1.00 per page elsewhere.

To place an order, please write to MathDoc Document Delivery, Mathematical Reviews, 416 Fourth Street, P.O. Box 8604, Ann Arbor, Ml 48107-8604 USA, or telephone 313-996-5268 and ask for MathDoc. Fax 313-996-2916. Electronic requests may be sent via Internet to [email protected] or thro.ugh DIALOG's DIALORDER or DIALMAIL.

* MathDoc complies with copyright laws and adds copyright royalties, when applicable. Math Doc is affiliated with Copyright Clearance Center (CCC), Salem, MA . ., Math Sci is a registered trademark of the American Mathematical Society. sM Math Doc is a service mark of the American Mathematical Society.

Anlerican Mathernatical Society - Mathernatical Reviews


Invited Addresses at AMS Meetings

The individuals listed below have accepted invitations to address the Society at the times and places indicated. For some meetings, the list of speakers is incomplete. Invited addresses at Sectional Meetings are selected by the Section Program Committee, usually twelve to eighteen months in advance of a meeting. Members wishing to nominate candidates for invited addresses should send the relevant information to the Associate Secretary for the Section who will forward it to the Section Program Committee.

San Antonio, TX, January 1993 Please see the first announcement of this meeting elsewhere in this issue.

Knoxville, TN, March 1993 Paul R. Blanchard Richard A. Tapia Olav Kallenberg Michelle L. Wachs

Washington, DC, April1993 Fan R. K. Chung Joel Sprock Leopold Flatto A. Zamolodchikov

Dekalb, IL, May 1993 Susan J. Friedlander Clark Robinson Russell D. Lyons

Vancouver, British Columbia, Canada August 1993

Robert E. Gompf (AMS-CMS) Louis Nirenberg H. Blaine Lawson (AMS-CMS) (AMS-CMS) Carl McMullen (AMS-CMS) Jill Pipher (AMS-CMS)

Syracuse, NY, September 1993 Tadeusz Iwaniec James M. Renegar Charles A. McGibbon Alvany Rocha

College Station, TX, October 1993 Steven P. Lalley Theodore A. Slaman Gilles Pisier Stephan A. Stolz

Invited Addresses and Special Sessions

Organizers and Topics of Special Sessions

The list below contains all the information about Special Sessions at meetings of the Society available at the time this issue of the Notices went to the printer. The section below entitled Information for Organizers describes the timetable for announcing the existence of Special Sessions.

January 1993 Meeting in San Antonio, Texas Associate Secretary: W. Wistar Comfort

Deadline for organizers: Expired Deadline for consideration: Expired

Please see the first announcement of this meeting elsewhere in this issue.

March 1993 Meeting in Knoxville, Tennessee Southeastern Section Associate Secretary:

Joseph A. Cima (until 1/31193) Robert J. Daverman (after 1/31/93)

Deadline for organizers: Expired Deadline for consideration: December 15, 1992

David F. Anderson and David E. Dobbs, Commutative ring theory

Bettye Anne Case, Interventions to assure success: calculus through junior faculty

Ben G. Fitzpatrick and Suzanne M. Lenhart, Optimal control and applications

Alexandre S. Freire and Conrad P. Plaut, Variational problems in geometry

Don B. Hinton and Kenneth Shaw, Sturm-Liouville operators, applications, and extensions

Tim Kelley, Numerical methods in optimization John C. Mayer, Continua theory and dynamical systems Balram S. Rajput and Jan Rosinski, Stochastic processes Michelle L. Wachs, Algebraic combinatorics

April1993 Meeting in Salt Lake City, Utah Western Section

Associate Secretary: Lance W. Small Deadline for organizers: Expired

Deadline for consideration: January 6, 1993


.. • .. ••• .. ••••• • ..·~·.··· • • w ~ y • , ••·..••• mlill iR!lJ__t\.~~_;r..· ·..· · ·· · ·..·..· · · .


April 1993 Meeting in Washington, DCEastern Section

Associate Secretary:W. Wistar Comfort (until 1/31/93)Lesley M. Sibner (after 1/31/93)

Deadline for organizers: ExpiredDeadline for consideration: January 6, 1993

Roy L. Adler and Leopold Flatto, Geodesic jlOl1JS, hyperbolicgeometry, and symbolic dynamics

Joseph A. Ball and Cora S. Sadosky, Dilation and interpolation: operator theoretic methods

John J. Benedetto and Rodney B. Kerby, Wavelets in samplingtheory and signal processing

Joseph E. Bonin, Geometric methods in conlbinatoricsNathamel Dean, Graph theoryEdward Frenkel, Mathematical physicsAnant P. Godbole and Gary J. Sherman, Undergraduate

research in applied mathematicsAnant P. Godbole and Gary J. Sherman, Undergraduate

research in pure mathematicsValentina S. Harizanov and James C. Owings, Pure and

applied recursion theoryKevin G. Hockett and E. Arthur Robinson, Ergodic theory,

dynamical systems, and applicationsVictor J. Katz, History ofmathematicsYongwu Rong, Low dimensional topologyJoel Sprock, Nonlinear elliptic problems in geometry and

physics

May 1993 Meeting in DeKalb, IllinoisCentral Section

Associate Secretary: Andy R. MagidDeadline for organizers: Expired

Deadline for consideration: February 3, 1993

Gregory S. Ammar, Advances in linear algebra: theory,computation, application

Michael A. Filaseta and Carl Pomerance, Number theorySusan J. Friedlander, Mathematical topics injluid dynamicsZoltan Furedi, CombinatoricsAndrew J. Granville, Analytic number theoryFrank Harary, Beautiful graph theoryMohsen Pourahmadi, Stochastic processesJeanne LaDuke, History ofmathematicsLinda R. Sons, Function theoryJoel H. Spencer, Probabilistic methodsPeter Waterman, Discrete groups

August 1993 Meeting in Vancouver,

British Columbia, CanadaAssociate Secretary: Lance W. SmallDeadline for organizers: November 11, 1992Deadline for consideration: April 27, 1993

David M. Austin, Four-manifolds(AMS-CMS)Nassif Ghoussoub, Variational methods in partial differential

equations (AMS-CMS)Linda Keen, Dynamical systems (AMS-CMS)James L. Lewis and Barry Mazur, Algebraic cycles (AMS

CMS)Ram M. Murty and Rajiv Gupta, Number theory (AMS-CMS)

Gregory Verchota, Harmonic analysis techniques in partialdifferential equations (AMS-CMS)

September 1993 Meeting in Syracuse, New YorkEastern Section

Associate Secretary: Lesley M. SibnerDeadline for organizers: December 17, 1992Deadline for consideration: April 27, 1993

October 1993 Meeting in Heidelberg, Germany(Joint Meeting with the DeutscheMathematiker-Vereinigung e.V.)

Associate Secretary: Robert M. FossumDeadline for organizers: Decenlber 23, 1992Deadline for consideration: April 27, 1993

October 1993 Meeting in College Station, TexasCentral Section

Associate Secretary: Andy R. MagidDeadline for organizers: January 22, 1993Deadline for consideration: July 14, 1993

Randall K. Campbell-Wright, Carl C. Cowen, and Barbara D.MacCluer, Composition operators on spaces of analyticfunctions

David R. Larson, Non selfadjoint operator algebrasEfton L. Park, Noncommutative differential geometrySung Yell Song and Paul M. Terwilliger, Algebraic combina

torics

January 1994 Meeting in Cincinnati, OhioAssociate Secretary:

Joseph A. Cima (until 1/31/93)Robert J. Daverman (after 1/31/93)

Deadline for organizers: April 5, 1993Deadline for consideration: September 23, 1993

March 1994 Meeting in Lexington, KentuckySoutheastern SectionAssociate Secretary:

Joseph A. Cima (until 1/31/93)Robert J. Daverman (after 1/31/93)

Deadline for organizers: June 18, 1993Deadline for consideration: To be announced

March 1994 Meeting in Manhattan, KansasCentral Section

Associate Secretary: Andy R. MagidDeadline for organizers: June 25, 1993

Deadline for consideration: To be announced

June 1994 Meeting in Eugene, OregonWestern Section

Associate Secretary: Lance W. SmallDeadline for organizers: September 7, 1993


October 1994 Meeting in Stillwater, OKCentral Section

Associate Secretary: Andy R. MagidDeadline for organizers: January 28, 1994



--··-~-·-·-~--·--·-----···--·-·---~~~'1~11


January 1995 Meeting in Denver, Colorado Associate Secretary: Andy R. Magid

Deadline for organizers: April 20, 1994 Deadline for consideration: To be announced

March 1995 Meeting in Chicago, Illinois Central Section

Associate Secretary: Andy R. Magid Deadline for organizers: June 24, 1994


January 1996 Meeting in Orlando, Florida Associate Secretary: Lance W. Small

Deadline for organizers: April 12, 1995 Deadline for consideration: To be announced

March 1996 Meeting in Iowa City, Iowa Central Section

Associate Secretary: Andy R. Magid Deadline for organizers: June 22, 1995


Information for Organizers Special Sessions at Annual and Summer Meetings are held under the supervision of the Program Committee for National Meetings (PCNM). They are administered by the Associate Secretary in charge of that meeting with staff assistance from the Meetings Department in the Society office in Providence.

According to the "Rules for Special Sessions" of the Society, Special Sessions are selected by the PCNM from a list of proposed Special Sessions in essentially the same manner as individuals are selected to give Invited Addresses. The number of Special Sessions at a Summer or Annual Meeting is limited. The algorithm that determines the number of Special Sessions allowed at a given meeting, while simple, is not repeated here, but can be found in "Rules for Special Sessions" on page 614 in the April 1988 issue of the Notices.

Each person selected to give an Invited Address is invited to generate a Special Session, either by personally organizing one or by having a Special Session organized by others. Proposals to organize a Special Session are sometimes requested either by the PCNM or by the Associate Secretary. Other proposals to organize a Special Session may be submitted to the Associate Secretary in charge of that meeting (who is an ex-officio member of the committee and whose address may be found below). These proposals must be in the hands of the PCNM at least nine months prior to the meeting at which the Special Session is to be held in order that the committee may consider all the proposals for Special Sessions simultaneously. Proposals that are sent to the Providence office of the Society, to the Notices, or directed to anyone other than the Associate Secretary will have to be forwarded and may not be received in time to be considered for acceptance.

It should be noted that Special Sessions must be announced in the Notices in such a timely fashion that any member of

the Society who so wishes may submit an abstract for consideration for presentation in the Special Session before the deadline for such consideration. This deadline is usually three weeks before the deadline for abstracts for the meeting in question.

Special Sessions are very effective at Sectional Meetings and can usually be accommodated. The processing of proposals for Special Sessions for Sectional Meetings is handled in essentially the same manner as for Annual and Summer Meetings by the Section Program Committee. Again, no Special Session at a Sectional Meeting may be approved so late that its announcement appears past the deadline after which members can no longer send abstracts for consideration for presentation in that Special Session.

The Society reserves the right of first refusal for the publication of proceedings of any Special Session. These proceedings appear in the book series Contemporary Mathematics.

More precise details concerning proposals for and organizing of Special Sessions may be found in the "Rules for Special Sessions" or may be obtained from any Associate Secretary.

Proposals for Special Sessions to the Associate Secretaries

The programs of Sectional Meetings are arranged by the Associate Secretary for the section in question: Western Section

Lance W. Small, Associate Secretary Department of Mathematics University of California, San Diego La Jolla, CA 92093 Electronic mail: [email protected] (Telephone 619-534-3590)

Central Section

Andy R. Magid, Associate Secretary Department of Mathematics University of Oklahoma 601 Elm PHSC 423 Norman, OK 73019 Electronic mail: [email protected] (Telephone 405- 325- 6711)

Eastern Section

W. Wistar Comfort, Associate Secretary (until January 31, 1993) Department of Mathematics Wesleyan University Middletown, CT 06457 Electronic mail: [email protected] (Telephone 203-347 -9411)

Lesley M. Sibner, Associate Secretary (beginning February I, 1993) Department of Mathematics Polytech University of New York Brooklyn, NY 11201-2990 (Telephone 718-260-3505)

Southeastern Section

Joseph A. Cima, Associate Secretary (until January 31, 1993) Department of Mathematics University of North Carolina, Chapel Hill Chapel Hill, NC 27599-3902 Electronic mail: [email protected] (Telephone 919-962-1050)



Robert J. Davennan, Associate Secretary (beginning February 1, 1993) Department of Mathematics University of Tennessee Knoxville, TN 37996-1300 (Telephone 615-974-6577)

As a general rule, members who anticipate organizing Special Sessions at AMS meetings are advised to seek approval at least nine months prior to the scheduled date of the meeting. No Special Sessions can be approved too late to provide adequate advance notice to members who wish to participate.

Proposals for Special Sessions at the October 1-3, 1993 meeting in Heidelberg, Germany, only, should be sent to Professor Fossum at the Department of Mathematics, University of Illinois, Urbana, ll 61801, Telephone: 217-244-1741, email:[email protected].

Information for Speakers A great many of the papers presented in Special Sessions at meetings of the Society are invited papers, but any member of the Society who wishes to do so may submit an abstract for consideration for presentation in a Special Session, provided it is received in Providence prior to the special early deadline announced above and in the announcements of the meeting at which the Special Session has been scheduled. Contributors should know that there is a limitation in size of a single Special Session, so that it is sometimes true that all places are filled by invitation. Papers not accepted for a Special Session are considered as ten-minute contributed papers.

Abstracts of papers submitted for consideration for presentation at a Special Session must be received by the Providence office (Meetings Department, American Mathematical Society, P. 0. Box 6887, Providence, RI 02940) by the special deadline for Special Sessions, which is usually three weeks earlier than the deadline for contributed papers for the same meeting. The Council has decreed that no paper, whether invited or contributed, may be listed in the program of a meeting of the Society unless an abstract of the paper has been received in Providence prior to the deadline.

Electronic submission of abstracts is available to those who use the 1}3X typesetting system. Requests to obtain the package of files may be sent electronically via the Internet to

[email protected]. Requesting the files electronically likely will be the fastest and most convenient way, but users may also obtain the package on IBM or Macintosh diskettes, available free of charge by writing to: Electronic Abstracts, American Mathematical Society, Meetings Department, P.O. Box 6887, Providence, RI 02940, USA. When requesting the abstracts package, users should be sure to specify whether they want the plain '!FX, .AA4S-1}3X, or the U\.1]3X package.

Number of Papers Presented Joint Authorship

Although an individual may present only one ten-minute contributed paper at a meeting, any combination of joint authorship may be accepted, provided no individual speaks more than once. An author can speak by invitation in more than one Special Session at the same meeting.

An individual may contribute only one abstract by title in any one issue of Abstracts, but joint authors are treated as a separate category. Thus, in addition to abstracts from two individual authors, one joint abstract by them may also be accepted for an issue.

Site Selection for Sectional Meetings Sectional Meeting sites are recommended by the Associate Secretary for the Section and approved by the Committee of Associate Secretaries and Secretary. Recommendations are usually made eighteen to twenty-four months in advance. Host departments supply local information, ten to twelve rooms with overhead projectors for contributed paper sessions and Special Sessions, an auditorium with twin overhead projectors for invited addresses, and registration clerks. The Society partially reimburses for the rental of facilities and equipment, and for staffing the registration desk. Most host departments volunteer; to do so, or for more information, contact the Associate Secretary for the Section.


Call For Topics For 1994 Conferences

Suggestions are invited from mathematicians, either singly or in groups, for topics for the various conferences that will be organized by the Society in 1994. The deadlines for receipt of these suggestions are given below, as well as some relevant information about each of the conferences. An application form to be used when submitting suggested topic(s) for any of these conferences (except the Short Course Series) may be obtained by writing to the Meetings Department, American Mathematical Society, P.O. Box 6887, Providence, RI 02940; or by telephone: 401-455-4146; FAX 401-455-4004; email: [email protected].

Individuals willing to serve as organizers should be aware that the professional meetings staff in the Society's Providence office will provide full support and assistance before, during, and after each of these conferences, thereby relieving the organizers of most of the administrative detail. Organizers should also note that for all conferences, except Summer Research Conferences, it is required that the proceedings be published by the AMS and that proceedings of Summer Research Conferences are frequently published. A member of the Organizing Committee must be willing to serve as editor of the proceedings.

All suggestions must include (1) the names and affiliations of proposed members and the chair of the Organizing Committee; (2) a one- to two-page description addressing the focus of the topic, including the importance and timeliness of the topic, and estimated attendance; (3) a list of the recent conferences in the same or closely related areas; ( 4) a tentative list of names and affiliations of the proposed principal speakers; and (5) a list of likely candidates who would be invited to participate and their current affiliations. Individuals submitting conference suggestions are requested to recommend sites or geographic areas which would assist the Meetings staff in their selection of an appropriate site.

1994 AMS-IMS-SIAM Joint Summer Research Conferences in the

Mathematical Sciences These conferences, jointly sponsored by the AMS, the Institute for Mathematical Statistics (IMS), and the Society for Industrial and Applied Mathematics (SIAM), emulate the scientific structure of those held at Oberwolfach and represent diverse areas of mathematical activity, with emphasis on areas cur-

rently especially active. Careful attention is paid to subjects in which there is important interdisciplinary activity at present. A one-week or two-week conference may be proposed. Topics for the eleventh series of one-week conferences being held in 1992 are: Conformal field theory, topological field theory, and quantum groups; Cohomology, representations, and actions of finite groups; Nielsen theory and dynamical systems; The Penrose transform and analytic cohomology in representation theory; Wavelets and applications; Commutative algebra: syzygies, multiplicities and birational algebra; Change-point problems; Control and identification of partial differential equations; and Adaptive designs.

If proceedings are published by the AMS, they appear as volumes in the series Contemporary Mathematics.

Deadline For Suggestions: February 1, 1993

Call for Topics for 1994 AMS Short Course Series

The AMS Short Courses consist of a series of introductory survey lectures and discussions which take place over a period of two days prior to and during the Joint Mathematics Meetings held in January and August each year. Each theme is a specific area of applied mathematics or mathematics used in the study of a specific subject or collection of problems in one of the physical, biological, or social sciences, technology, or business.

Current and recent topics: Wavelets and applications (January 1993), New scien

tific applications of geometry and topology (January 1992), Unreasonable effectiveness of number theory (August 1991), Probabilistic combinatorics and its applications (January 1991), Combinatorial games (August 1990), Mathematical questions in robotics (January 1990), Cryptology and computational number theory (August 1989), and Matrix theory and applications (January 1989). Proceedings are published by the Society as volumes in the series Proceedings of Symposia in Applied Mathematics, with the approval of the Editorial Committee.

Deadline for Suggestions: December 1, 1992.

Submit suggestions to: AMS Meetings Department, P.O. Box 6887, Providence, RI 02940; FAX: 40i-455-4004; email: [email protected].


1993 Summer Research Institute

Stochastic analysis Cornell University, Ithaca, New York, July 11-30

The forty-first Summer Research Institute sponsored by the American Mathematical Society will be devoted to Stochastic Analysis and will be held at Cornell University from July 11-30, 1993. The Co-Chairs of the Organizing Committee are Mike Cranston, University of Rochester; Rick Durrett, Cornell University; and Mark Pinsky, Northwestern University. The speakers were selected with the advice of a committee that consists of Rodrigo Banuelos, Purdue University; Peter Baxendale, University of Southern California; Hans Follmer, Universitat Bonn; Nobuyuki Ikeda, University of Osaka; Paul Malliavin, Universite Pierre et Marie Curie; Alain Sznitman, ETH Zurich, and Ruth Williams, University of California, San Diego.

The topic was selected by the 1992 AMS Committee on Summer Institutes whose members at the time were: Craig Evans, Nicholas Katz, Barbara Lee Keyfitz, Brian Parshall (chair), Francois Treves, and Edward Witten.

In recent years there have been exciting interactions between probability theory and analysis, geometry, and mathematical physics, with these three fields furnishing a rich source of problems for probability theory. The conference will highlight recent achievements in the field and promising directions for future research. The meeting will be divided into six two-and-one-half day periods (Sunday morning to Tuesday noon, Wednesday morning to Friday noon, etc.) that will feature the following topics in the order indicated:

1. Stochastic ordinary differential equations (7/11-7/13) 2. Applications to analysis (7/14-7/16) 3. Applications to geometry (7/18-7/20) 4. Stochastic flows (7/21-7/23) 5. Infinite-dimensional problems (7/25-7/27) 6. Stochastic partial differential equations (7/28-7/30)

The institute will have. approximately 66 one-hour lec-tures, 11 in each period. To allow time and energy for informal discussions there will be no short talks or parallel sessions. The precise content of the meeting will reflect the interests of the following list of speakers who have indicated that they will attend: L. Arnold, R. Banuelos, P. Baxendale, G. BenArous, E. Bolthausen, J. Brossard, K. Burdzy, R. Carmona, R. Dalang, B. Davis, D. Dawson, B. Driver, D. Elworthy, M. Emery, H. Follmer, L. Gross, T. Hida, E. Hsu, N. Ikeda, W. Kendall, Y. Kifer, S. Kotani, P. Kotelenez, N. Krylov, H. Kunita, S. Kusuoka, T. Kurtz, R. Leandre, F. Ledrappier, J.F. Le Gall, Y. Le Jan, T. Lindstrom, M. Liao, T. Lyons, P. Malliavin, P. March, S. Molchanov, C. Mueller, D. Nualart, B.

0ksendal, E. Pardoux, E. Perkins, R. Pinsky, M. Rockner, C. Rogers, B. Rozovskii, T. Shiga, I. Shigekawa, A. Sznitman, A. Truman, A.S. Ustunel, S. Watanabe, V. Wihstutz, R. Williams andZ. Zhao.

It is anticipated that the institute will be partially funded by a grant from the National Science Foundation. Proceedings will be published in the AMS series titled Proceedings of Symposia in Pure Mathematics. It is expected that the papers for the proceedings will closely parallel the content of the lectures and will be distributed to the conference participants at the time of the lectures.

All persons who are interested in this topic are welcome to attend. The organizerers anticipate being able to provide partial support for travel and subsistence for young researchers, especially women and minorities. Those interested in receiving an invitation to participate in the institute should send the following information to: Summer Institute Conference Coordinator, American Mathematical Society, P.O. Box 6887, Providence R.I. 02940, prior to April 1, 1993, or through electronic mail to [email protected].

Please type or print the following: 1. Full name 2. Mailing address

· 3. Telephone number and area code for office and home, FAX number, and electronic mail address

4. Which week or weeks you wish to attend 5. Your scientific background relevant to the institute topic 6. Financial assistance required (or indicate if no support

required).

Information on housing, dining, travel, and the local area will be sent to invited participants in the Spring. Each participant will be required to pay a Conference fee. Questions about the scientific program can be addressed to any of the organizers, preferably by email to [email protected], [email protected], or [email protected]. Questions about local arrangements should be sent to Rick Durrett via email or write to him at Department of Mathematics, White Hall, Cornell University, Ithaca, NY 14853-7901.

Requests for invitations will be forwarded to the Organizing Committee for consideration up to the deadline of Aprill. All applicants will receive formal invitations. Participants receiving financial support will be notified beginning in mid-May.


Winter Meeting of the Canadian Mathematical Society

December 13-15, 1992

Tentative Program

The Canadian Mathematical Society (CMS) and the Centre de Recherches Mathematiques (CRM) de l'Universite de Montreal cordially invite all mathematicians to the 1992 Winter Meeting of the Society. The meeting will be held at the Ramada Renaissance Hotel du Pare (3625 Avenue du Pare, Montreal).

Principal Speakers The names and affiliations of the principal speakers and the tentative days and times they will talk are as follows:

R. Langlands, Princeton University, Sunday, December 13, at 9:00 a.m.

W. Diffie, BNR, Mountain View, Sunday, December 13, at 1:30p.m.

D. W. Stroock, Massachusetts Institute of Technology, Monday, December 14, at 1:30 p.m.

H. Saleur, Yale University, Tuesday, December 15, at 1:30p.m.

D. Joseph, University of Minnesota at Minneapolis, Monday, December 14, at 9:00a.m.

Coxeter-]ames Lecturer The Coxeter-James Lecture will be given by J, F. Jardine, University of Western Ontario, on Monday, December 14, at 1:30p.m.

Symposia Special Sessions in five domains will take place with session organizers and invited speakers as follows:

Lfunctions and arithmetic geometry, K. Murty, University of Toronto, organizer; J. Arthur, University of Toronto; R. Gupta, University of British Columbia; R. Langlands, Princeton University; N. Nygaard, University of Chicago; R. Murty, McGill University; K. Ribet, University of California at Berkeley; D. Rohrlich, Boston University; D. Roberts, University of Toronto; C. Schoen, Duke University; and N. Yui, Queen's University.

Cryptology, G. Brassard, Universite de Montreal, organizer; C. H. Bennett, Yorktown Heights; V. Bhargava, University of Victoria; C. Crepeau, Universite de Paris-Sud; W. Diffie, BNR, Mountain View; J. Feigenbaum, AT&T, New York; S. Rudich, Carnegie-Mellon University.

Stochastic analysis, J, Taylor, McGill University, organizer; J. P. Anker, Nancy; B. Davis, Purdue University; C. Herz, McGill University; D. Jerison, Massachusetts Institute of Technology; E. Perkins, University of British Columbia; J. Quastel, University of California at Davis; T. Salisbury, York University; P. Sawyer, University of Ottawa; B. Schmuland, University of Calgary; D. W. Stroock, Massachusetts Institute of Technology; and N. Varopoulos, Universite de Paris.

Quantum groups, Y. St-Aubin, Universite de Montreal, organizer; Robert Bedard, Universite du Quebec a Montreal; P. Cartier, IHES; A. Joyal, Universite du Quebec a Montreal; V. Kac, Massachusetts Institute of Technology; G. Lusztig, Massachusetts Institute of Technology; N. Reshetikin, Harvard University; M. Rosso, University of California at Berkeley; H. Saleur, Yale University; S. Spiridonov, Universite de Montreal; and L. Vinet, Universite de Montreal.

Computational fluid mechanics, A. Fortin, Ecole Polytechnique, organizer; J. Baranger, Universite de Lyon; Y. Demay, University of Sophia-Antipolis; M: Fortin, Universite de Laval; J. J. Gervais, Unversite de Laval; R. Guenette, Universite de Laval; D. Joseph, University of Minnesota at Minneapolis; M. Renardy, Virginia Polytechnical Institute; and J. C. Saut, Universite de Paris-Sud.

Mathematics Education There will be a session on Mathematics Education organized by G. Schmidt, McGill University. The Plenary Speaker will be Stan Wagon, Smith College, who will deliver his address on Tuesday, December 15, at 9:00a.m. The general theme of the Education Session will deal with computers in college and university level education.

Contributed Papers Contributed papers of 15 minutes' duration are invited. Registration and abstract forms may be requested from the CMS office, 577 King Edward, Ottawa, Ontario, Canada, KIN 6N5, telephone: (613)564-2223,FAX: (613) 789-1539. The deadline for receipt of abstact forms (and registration fees) for inclusion in the November issue of Notes of the Canadian Mathematical Society, was September 15. To be eligible to present a contributed paper, ALL abstract forms (and registration fees) must be received before October 15.


·-··············· .................... -... ·--···--·· .. ------·-····-·················-·· .... ·-· .. ·--···- ·····--···-····-·-··----· .. -·-.. ·----------·-··----·······-··-·-··--····-----··-·-·--·-·----··-Winter Meeting of the Canadian Mathematical Society

Hotel Accommodations A large block of hotel rooms has been reserved at the Ramada Renaissance Hotel du Pare, located in downtown Montreal. Please contact the hotel directly if you wish to make a reservation. Be sure to make your reservation before October 12 and to mention that you are attending the CMS meeting in December to obtain the special rates quoted below (in Canadian dollars).

Ramada Renaissance 3625 Avenue du Pare, Montreal, H2X 3P8, Telephone:

(514) 288-6666, Telex: 055-60066, FAX:(514) 288-2469. Single room: $ 99 CDN per night Double room: $111 CDN per night

Transportation Ramada Renaissance Hotel du Pare is located in downtown Montreal on Avenue du Pare. It is just north of Sherbrooke Street and just east of McGill University. If you travel by car, park in the hotel reserved lot. To reach the hotel by public transportation, take the subway (Metro) in the direction of Place-des-Arts station (green line). From Place-des-Arts station, take the 129 bus on Jeanne-Mance Street to the hotel.

From either of the two Montreal airports (Dorval if you're coming from a Canadian city or the United States, and Mirabel for international flights) the airport bus (Aerocar) is the cheapest way to get into the center of the city ($8.50 CDN from Dorval and $11.75 CDN from Mirabel). We suggest you get off at Terminus Berri, from where you can reach the hotel by public transportation or by taxi (about $10 CDN). If you take a taxi from the airport to the hotel, it will cost you about $55 CDN from Mirabel and $25 CDN from Dorval.

Registration Fees (in Canadian dollars)

*CMS/AMS/MAA Members with grants

*CMS/AMS/MAA Members without grants

*Non-Members Students or Retired Faculty Education Session Only One day fee

Before Oct. 15

$150

60 200

50 60 75

After Oct. 15

$175

90 240

50 75 75

*This fee includes a ticket to the Monday night banquet.

Further Information For further information regarding the program, please contact Louis Pelletier, Local Arrangements Committee, CMS Winter '92, Centre de Recherches Mathematique, Universite de Montreal, PO Box 6128, Station A, Montreal Quebec, Canada, H3C 3J7, Telephone: (514) 343-2197, FAX: (514) 343-2254, electronic mail: pelletl @ere.umontreal.ca.

Scientific Program Committee Yvan St-Aubin (Montreal); Gilles Brassard (Montreal); Andre Fortin (Ecole Polytechnique); Michel Fortin, (Laval), Chair; Kumar Murty (Toronto); and John Taylor (McGill).

Local A"angements Committee Francis Clarke, (CRM, Montreal), Chair; Martin Goldstein (CRM, Montreal; and Louis Pelletier (CRM, Montreal).

The Canadian Mathematical Society extends its thanks to NSERC for its support of these symposia.


1992 Symposium on Some Mathematical Questions in Biology Cell Biology

Denver, Colorado, November 1992

The twenty-sixth annual Symposium on Some Mathematical Questions in Biology, focusing on Cell Biology, will be held during the annual meeting of the American Society for Cell Biology, November 15-19, 1992, at the Colorado Convention Center in Denver, Colorado. The symposium is sponsored by the American Mathematical Society, the Society for Industrial and Applied Mathematics (SIAM), and the Society for Mathematical Biology (SMB).

The AMS-SIAM-SMB Committee on Mathematics in the Life Sciences serves as the Organizing Committee for the symposium. The committee members are Jack D. Cowan, James W. Curren, Marcus W. Feldman, Eric S. Lander, Marc Mangel (Chair), and James D. Murray. Byron Goldstein and Carla Wofsy serve as organizers.

There will be sessions on Monday and Tuesday afternoons, November 16 and 17, each including three invited lectures on mathematical and biophysical approaches to problems in cell biology. The speakers and their topics are: Micah Dembo (Los Alamos National Laboratory), Modeling cell adhesion; Elliot

Elson (Washington University School of Medicine, St. Louis), Interpretation of measurements of cellular deformability; Byron Goldstein (Los Alamos National Laboratory), Cell activation through the aggregation of cell surface receptors; Jennifer Linderman (University of Michigan, Ann Arbor), Cell-cell interactions and the activation of T cells in an immune response; George Oster (University of California, Berkeley), The dynamics of single-motor molecules; and Michael Reed (Duke University), The transport of organelles in axons.

Proceedings of the symposium will be published by the AMS in the series Lectures on Mathematics in the Life Sciences.

Discount airfares are available from United Airlines for travel November 12-22, 1992. Call 1-800-521-4041 and refer to file number 524YM.

For further information on the symposium, contact the Symposium Conference Coordinator, AMS, P.O. Box 6887, Providence, RI 02940, or [email protected] by electronic mail.

The International Congress of Mathematicians 1994 - Preliminary Announcement

The next International Congress of Mathematicians will be held in Ziirich, Switzerland, from August 3 to August 11, 1994, under the auspices of the International Mathematical Union. The lectures will be held at the Kongresshaus of the city of Zurich and in lecture theatres at the Federal Institute of Technology (ETHZ) and at the University of Zurich.

The Swiss Mathematical Society has entrusted a committee with the organization of the congress. The president of this committee is Henri Carnal and the secretary is Christian Blatter. The administration of the participants (hotel reservations, etc.) has been delegated to a professional congress organizer.

The First Announcement containing further details and an application form will be distributed in July 1993. Please write to the following address for further information:

ICM94 International Congress of Mathematicians

ETHZentrum CH-8092 Zurich

Switzerland


Mathematical Sciences Meetings and Conferences

THIS SECTION contains announcements of meetings and conferences of interest to some segment of the mathematical public, including ad hoc, local, or regional meetings, and meetings or symposia devoted to specialized topics, as well as announcements of regularly scheduled meetings of national or international mathematical organizations. (Information on meetings of the Society, and on meetings sponsored by the Society, will be found inside the front cover.) AN ANNOUNCEMENT will be published in the Notices if it contains a call for papers, and specifies the place, date, subject (when applicable), and the speakers; a second announcement will be published only if there are changes or necessary additional information. Once an announcement has appeared, the event will be briefly noted in each issue until it has been held and a reference will be given in parentheses to the month, year, and page of the issue in which the complete information appeared. Asterisks (*) mark those announcements containing new or revised information. IN GENERAL, announcements of meetings and conferences held in North America carry only date, title of meeting, place of meeting, names of speakers (or sometimes a general statement on the program), deadlines for abstracts or contributed papers, and source of further information. Meetings held outside the North American area may carry more detailed information. In any case, if there is any application deadline with respect to participation in the meeting, this fact should be noted. All communications on meetings and conferences in the mathematical sciences should be sent to the Editor of the Notices, care of the American Mathematical Society in Providence. DEADLINES for entries in this section are listed on the inside front cover of each issue. In order to allow participants to arrange their travel plans, organizers of meetings are urged to submit information for these listings early enough to allow them to appear in more than one issue of the Notices prior to the meeting in question. To achieve this, listings should be received in Providence SIX MONTHS prior to the scheduled date of the meeting. EFFECTIVE with the 1990 volume of the Notices, the complete list of Mathematical Sciences Meetings and Conferences will be published only in the September issue. In all other issues, only meetings and conferences for the twelve-month period following the month of that issue will appear. As new information is received for meetings and conferences that will occur later than the twelve-month period, it will be announced at the end of the listing in the next possible issue. That information will not be repeated until the date of the meeting or conference falls within the twelve-month period.

1992

1992. IMACS Symposium on Symbolic Computation in Engineering Design, IDN, Lille, France. (Jul./Aug. 1990, p. 746) 1992. IMACS International Conference on Computational Physics, Univ. of Colorado, Boulder, CO. (Oct. 1990,,p. 1141)

October 1992

October 1992. Workshop on Superprocesses and Interacting Systems, Centre de Recherches Mathematiques, Universite de Montreal, Montreal, Quebec, Canada. (Apr. 1992, p. 348) 15-17. Jumelage 92, Mathematical Sciences Institute, Ithaca, NY. (Apr. 1992, p. 348) 15-17. Interface and Layer Dynamics, Research Institute for Mathematical Sciences, Kyoto University. (Jul./Aug. 1992, p. 627) 15-19. SIAM Conference on Applications

944

of Dynamical Systems, Salt Lake City, UT. (Mar. 1992, p. 249)

* 16-17. Fourteenth Midwest Probability Col-loquium, Northwestern Univ., Evanston, IL.

INVITED SPEAKERS: _I. Kesten (two lectures on first- and last-passage percolation); T. McConnell and S. Evans (one lecture). INFORMATION: M. Pinsky, Dept. of Math., Northwestern U., Evanston, IL 60208; email: [email protected].

16-17. 1992 Mathematical Sciences Department Chairs Colloquium, Arlington, VA. (Sep. 1992, p. 768) 17. Three Decades of Numerical Linear Algebra at Berkeley: A Conference in Honor of the Sixtieth Birthdays of Beresford Parlett and William Kahan, University of California, Berkeley. (Mar. 1992, p. 249) 18-24. Geometrie, Oberwolfach, Federal Republic of Germany. (Feb. 1991, p. 148) 19-21. The Fourth Symposium on the Frontiers of Massively Parallel Computation, McLean, VA. (Dec. 1991, p. 1340)


19-23. Modeles Arch et Applications a Ia Finance, Marseille, France. (Jan. 1992, p. 54) 19-23. Fourth International Symposium on Orthogonal Polynomials and their Applications, Evian, France. (Feb. 1992, p. 148)

20-23. Second Beijing International Conference on System Simulation and Scientific Computing-BICSC '92, Beijing, China. (Jan. 1992, p. 54) 21-23. Documents, Computation, and Preference, Washington, DC. (Apr. 1992, p. 349)

21-25. Workshop on Conservative Systems and Quantum Chaos, Fields Institute for Research in Mathematical Sciences, Waterloo, Ontario. (Jul./Aug. 1992, p. 627)

* 22-23. Conference on Modular Forms and Number Theory to Celebrate the 80th Birthday of Joe Lehner, Swarthmore College, Swarthmore, PA.

INVITED SPEAKERs: G. Andrews, A.O.L. Atkin, B. Berndt, D. Bressoud, L. Ehrenpreis, H. Iwaniec, M. Knopp, M. Newman, L.A. Parson, D. Rosen, M. Sheingorn, Sister A. Heath and others. INFORMATION: D. Rosen (215-543-2752, drosen1 @cc.swarthmore.edu.) and M. Knopp (215-664-3534 or 215-787-7589), 410 Lancaster Ave., Apt. 221, Haverford, PA 19041.

22-24. General and Geometric Topology and Related Problems, Research Institute for Mathematical Sciences, Kyoto University. (Jul./Aug. 1992, p. 628)

22-24. Mathematical Analysis of Phenomena in Fluid and Plasma Dynamics, Research Institute for Mathematical Sciences, Kyoto University. (Jul./Aug. 1992, p. 628) 22-25. Semi-Annual Regional Workshop in Dynamical Systems and Related Topics, Penn State University, State College, PA. (May/Jun. 1992, p. 493)

22-30. Forty-sixth Conference and Congress of the International Federation for Information and Documentation, Madrid, Spain. (May/Jun. 1991, p. 477)

* 23-24. Two-Day Conference on Computa-tional Geometry, SUNY Stony Brook, NY.

PRoGRAM: The field of computational geometry has rapidly emerged as a field of intense research in computer science and many related disciplines. The goal of this workshop is to increase the awareness of the state of the art in computational geometry among industry and mission-oriented agencies, and to better expose the academic community to problems of practical interest. In addition to invited lectures, there will be short presentations, a problem session, and ample time for informal discussions. Contributed talks are encouraged and will be accomodated as time permits.

·····················~;§I·--·····-

INVITED SPEAKERS: M. Bern (Xerox), B. Chazelle (Princeton), C. Hoffman (Purdue), D. Huttenlocher (Cornell), J. O'Rourke (Smith), and G. Wilfong (AT&n. INFORMATION: T. Mills, 516-632-9125. For accomodations, call Holiday Inn ExpressStony Brook at 516-471-8000 or Three Village Inn 516-751-0555.

25-31. Stochastische Analysis, Oberwolfach, Federal Republic of Germany. (Feb. 1991, p. 148)

26-30. Holomorphic Mappings and Diophantine Geometry, Research Institute for Mathematical Sciences, Kyoto University. (Jul./Aug. 1992, p. 628)

27-29. NSFilloD's National SBIR Conferences, Washington, DC. (Sep. 1992, p. 768)

27-31. International Workshop on Modern Group Analysis: Advanced Analytic and Computational Methods in Mathematical Physics, Acireale (Catania), Italy. (May/Jun. 1992, p. 493)

28-November l. Symposium on Trends in Discrete Mathematics, Bielefeld, Germany. (Sep. 1992,p. 1992,p. 769)

30-31. Seventh Annual Pi Mu Epsilon Regional Undergraduate Mathematics Conference, St. Norbert College, DePere, WI. (Jul./Aug. 1992, p. 628) 30-November 1. Central Section, Wright State University, Dayton, OH.

INFORMATION: W. Drady, American Mathematical Society, P.O. Box 6887, Povidence, RI02940.

31. Differential Geometry Day, Eastern Illinois University, Charleston, IL. (May/Jun. 1992,p.493)

November 1992

November 1992. The International LieLobachevsky Colloquium Dedicated to the Anniversaries of Sophus Lie's 150 birthday and Nikolai Lobachevski's 200 birthday, Tartu (Estonia). (Feb. 1992, p. 148)

November 1992. Workshop on Stochastic Control, Centre de Recherches Mathematiques, Universite de Montreal, Montreal Quebec, Canada. (Apr. 1992, p. 349)

1-6. The First Pan American Conference on Pre-Columbia Mathematics, Astronomy, and Modes of Thought, Univ. Francisco Marroquin, Guatamala City and Tikal. (Dec. 1991, p. 1340)

1-7. Kombinatorik, Oberwolfach, Federal Republic of Germany. (Feb. 1991, p. 148)

2-4. Colloque Mathematique-Informatique, Marseille, France. (Jul./Aug. 1992, p. 628)

2-6. Workshop on Symbolic Dynamics, Mathematical Sciences Research Institute, Berkeley, CA. (Jan. 1992, p. 54)

Meetings and Conferences

2-20. Fourth Autumn Course on Mathematical Ecology, Trieste, Italy. (Jul./Aug. 1992,p.628)

4-6. Mathematical Methods for Wave Phenomena in Fluids and Their Application, Research Institute for Mathematical Sciences, Kyoto University. (Jul./Aug. 1992, p. 628)

4-6. Fundamental Technologies in Numerical Computation, Research Institute for Mathematical Sciences, Kyoto University. (Jul./ Aug. 1992,p.628)

4-6. Structure of Solutions of Partial Differential Equations, Research Institute for Mathematical Sciences, Kyoto University. (Jul./ Aug. 1992, p. 628)

5-8. Eighteenth Annual Conference of the American Mathematical Association of Two Year Colleges, Indianapolis, IN. (Jul./Aug. 1992,p.628)

* 7. Graph Theory Day 24, Worcester Poly-technic Institute, Worcester, MA.

SPONSOR: Mathematics Section ofthe New York Academy of Sciences. PRoGRAM: Invited Speakers are K.P. Bogart (Dartmouth College), J.E. Graver (Syracuse University), and D. Kleitman (MIT). Short contributions on current topics in graph theory are welcome. ORGANIZERS: A. Bagchi, P.R. Christopher, J.W. Kennedy, L.V. Quintas, and B. Servatius. INFORMATION: Brigitte Servatius, Mathematical Sciences Dept., Worcester Polytechnic Institute, Worcester, MA 01609-2276; 508-831-5361; [email protected].

7-11. Mathematics and Molecular Biology III: Computational Approaches to Nucleic Acid Structure and Function, Santa Fe, NM. (May/Jun. 1992, p. 494)

8-14. Numerische Integration, Oberwolfach, Federal Republic of Germany. (February 1991, p. 148)

8-14. Third Austrian Symposium on the History of Mathematics, Neuhofen an der Ybbs (Lower Austria). (Mar. 1992, p. 249)

9-11. Fundamental Problems in Quantum Field Theory, Research Institute for Mathematical Sciences, Kyoto University. (Jul./Aug. 1992, p. 628)

9-13. IMA Workshop on Control and Optimal Design of Distributed Parameter Systems, Institute for Mathematics and its Applications, University of Minnesota. (Nov. 1991, p. 1171)

9-13. Introduction to Industrial Engineering, Seattle, WA. (Spe. 1992, p. 769)

10-13. Interdisciplinary Studies on Number Theory, Research Institute for Mathematical Sciences, Kyoto University. (Jul./Aug. 1992, p. 628)

13-15. Second Joint Meeting of the Midwest Conference on Ordinary Differential


Equations and the Southeastern-Atlantic Regional Conference on Differential Equations, University of Kentucky, Lexington, KY. (Apr. 1992, p. 349)

14-16. The Third Biennial Conference of the Allahabad Mathematical Society, Allahabad, India. (May/Jun. 1991, p. 477)

15-20. An Applications Symposium on Optics, Electro-Optics, and Lasers in Industry, Boston, MA. (Feb. 1992, p. 148)

15-21. Komplexitatstheorie, Oberwolfach, Federal Republic of Germany. (Feb. 1991, p. 148)

16-18. Workshop on Higher Dimensional Geometry, Mathematical Sciences Research Institute, Berkeley, CA. (Jan. 1992, p. 54)

16-18. Hardy Spaces and Uniform Algebras, Research Institute for Mathematical Sciences, Kyoto University. (Jul./Aug. 1992, p.629)

16--20. International Congress on Numerical Methods in Engineering and Applied Sciences, University of Concepcion, Concepcion, Chile. (Jul./Aug. 1991, p. 646)

16-20. IMA Period of Concentration: Flow Control, Institute for Mathematics and its Applications, University of Minnesota. (Sep. 1991, p. 840)

16-20. The Fifth Annual High Performance Computing and Communication ConferenceSupercomputing 92, Minneapolis, MN. (Sep. 1992,p. 769)

16--20. Automorphic Forms and L-functions, Research Institute for Mathematical Sciences, Kyoto University. (Jul./Aug. 1992, p. 629)

16-22. Workshop on Normal Forms, Homoclinic Bifurcations and Chaos, Fields Institute for Research in Mathematical Sciences, Waterloo, Ontario. (Apr. 1992, p. 350)

17-19. NSFilloD's National SBIR Conferences, Phoenix, AZ. (Sep. 1992, p. 769)

18-20. Mathematical Optimization and its Applications, Research Institute for Mathematical Sciences, Kyoto University. (Jul./Aug. 1992,p.629)

20-22. Academic Knowledge and Power, University of Maryland, College Park, MD. (May/Jun. 1992, p. 494)

22-26. Geometry of Hamiltonian Systems, Conference Center "Woudschoten", The Netherlands. (Sep. 1992, p. 770)

23-25. European Symposium on Research in Computer Security, Toulouse, France. (Feb. 1992, p. 148)

23-27. Seminaire Sud-Rbodanien de Geometrie, Marseille, France. (Jan. 1992, p. 54)

24-26. Spectral and Scattering Theory for Differential Equations, Research Institute for Mathematical Sciences, Kyoto University. (Jul./Aug. 1992, p. 629)

24-26. Theory and Applications in Com-

945

puter Algebra, Research Institute for Mathematical Sciences, Kyoto University. (Jul./Aug. 1992,p.629) 29-December 5. Theory of Large Deviations, Oberwolfach, Federal Republic of Germany. (Feb. 199l,p. 148) 30-December 2. Algorithm, Fractal, and Dynamical Systems, Research Institute for Mathematical Sciences, Kyoto University. (Jul./ Aug. 1992, p. 629)

December 1992

* 1. 1992 Science and Technology Symposium "Clinical 1\ials and Statistics", Washington, DC.

PROGRAM: This symposium will focus on the interaction between statistics and strategy issues that occur in designing comparisons of drugs and clinical procedures. INVITED SPEAKERS: P. Meier (U. Chicago), M. Zelen (Harvard), J. Wittes (Statistics Collaborative), D. Feigal (FDA), and H. Tilson (Burroughs-Wellcome). INFORMATION: Board on Mathematical Sciences, National Research Council, NAS. 312, 2101 Constitution Ave., NW, Washington, DC 20418; 202-334-2421; FAX: 202-334-1597; email [email protected].

2-4. Workshop on Curves, Abelian Varieties, and their Moduli, Mathematical Sciences Research Institute, Berkeley, CA. (Jan. 1992, p. 54) 4-5. International Workshop on Matrix Methods for Statistics, University of Auckland, Auckland, New Zealand. (Feb. 1992, p. 148)

* 4--5. Workshop on Control and PDE's, Temple University, Philadelphia, PA.

PROGRAM : There will be nine one-hour talks on control, PDE's, and related areas in probability and financial economics. INVITED SPEAKERS: W.H. Fleming, I. Kai"atzas, A.J. Krener, T.G. Kurtz, S.E. Shreve, H.M. Soner, P.E. Souganides. INFORMATION: 0. Hijab, Dept. of Math., Temple U., Philadelphia, PA 19122; email: hi jab @euclid.math.temple.edu.

6-12. Theory and Numerical Methods for Initial-Boundary Value Problems, Oberwolfach, Federal Republic of Germany. (Feb. 1991, p. 148) 7-11. IMACS Symposium on Scientific Computing and Mathematical Modelling, Bangalore, India. (May/Jun. 1991, p. 477) 7-11. Algebraic Number Theory-Recent Developments and Their Backgrounds, Research Institute for Mathematical Sciences, Kyoto University. (Jul./Aug. 1992, p. 629) 8-11. International Conference on Computer Science and Control, Paris, France.

946

--------····-·······················-·····················-···············-·· ·········-·········-···--···························--···················· Meetings and Conferences

(April 1992, page 350) 11-16. Workshop on Generalized InversesComputational Techniques and Applications, Indian Statistical Institute, Delhi, India. (Mar. 1992, p. 249) 13-19. Asymptotische Statistik, Oberwolfach, Federal Republic of Germany. (Feb. 1991, p. 148)

* 14-18. Compugraphics '92: Second International Conference on Computational Graphics and Visualization Techniques, Calouste Gulbenkian Foundation, Lisbon, Portugal.

PROGRAM: Devoted to the maturing field of computational graphics, the conference aims at gathering together all interested individuals to discuss the current situation, future directions, and research and educational goals. The conference will include invited lectures, papers, panels, a computer image show, and an exhibition. PAPER AND PANEL PROPOSALS: Traditional graphics and descriptive geometry, engineering graphics and computerized drafting, theoretical graphics and classical geometry, computer graphics and image synthesis, computational geometry and computer-aided geometric design, geometric and solid modeling, computer-aided design and manufacturing, computer-aided engineering and engineering design, scientific visualization and supercomputing, finite element and other numerical methods, artificial intelligence and expert systems, computer assisted instruction and education, graphics standards and user-interface methodology, physically-based modeling and animation, and natural scene simulation and fractal modeling. INFORMATION: Compugraphics '92, c/o H.P. Santo, Conference and Program Committee Chair, Dept. of Civil Engineering, 1ST-Advanced Technical Institute, Technical University of Lisbon, Av. Rovisco Pais, 1, 1096 Lisboa Codex, Portugal, tel: +351-1-848-2425 or +351-1-847-3421/34, ext. 2351; FAX: +351-1-89-7650/9242; email: d 1663 @ eta.ist. pt.

15-17. Third IMA Conference on Mathematics Signal Processing, University of Warwick, England. (Feb. 1992, p. 149) 17-19. Algebraic Combinatorics, Research Institute for Mathematical Sciences, Kyoto University. (Jul./Aug. 1992, p. 629) 27-31. Holiday Symposium on Lie Group Representations and Combinatorics, New Mexico State University, Las Cruces, NM. (Sep. 1991, p. 840)

1993

1992-1993. Mittag-Lefller Institute's Academic Program for 1992-1993: Special Problems in Mathematical Physics, Djursholm,


Sweden. (Nov. 1991, p. 1171) Spring 1993. IMACS Symposium on Mathematical Modelling, Wiener Neustadt, Germany. (Jan. 1992, p. 54) 1993. Second IMACS International Conference on Computational Physics, Univ. of Colorado, Boulder, CO. (Jan. 1992, p. 55)

January 1993

1-3. International Symposium on Statistical Physics, Salt Lake City, Calcutta, India. (Jul./Aug. 1992, p. 629) 3-7. International Conference on Scientific Computation and Difl'erential Equations, Auckland, New Zealand. (May/Jun. 1991, p.477) 3-9. Grundlagen der Geometrie, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 55) 3-9. Extensions of Buildings and Geometries, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 55)

* 4--8. International Conference on Scientific and Differential Equations "SCADE '93", Auckland, New Zealand.

PRoGRAM: This conference continues the series of meetings on numerical ordinary differential equations held in recent years in Toronto, London, and Helsinki. The scope will be widened on this occasion to include other related areas of applied mathematics and scientific computation. It is also a celebration of the 60th birthday of J. Butcher of the University of Auckland. INFORMATION: H. Gerlach, Dept. of Math. and Stat., Univ. of Auckland, Private Bag 92019, Auckland, New Zealand; tel: +64 9 373 7999, ext. 8816; FAX: +64 9 373 7457; email: gerlach @mat.aukuni.ac.nz.

4--9. Advances in Computational Mathematics, India International Center, New Delhi, India. (Feb. 1992, p. 149) 5. Short Course on Nonlinear Dynamics and Chaos, Arizona State University, Tempe, AZ. (Sep. 1992, p. 770) 6-9. Dynamics Days Arizona, Twelfth Annual International Workshop, Arizona State University, Tempe, AZ. (Sep. 1992, p. 770) 7-11. Conference on Evolution Equations, Louisiana State University, Baton Rouge, LA. (Sep. 1992,p. 770) 10-15. First Panamerican Workshop in Applied and Computational Mathematics, Simon Bolivar University, Caracas, Venezuela. (May/Jun. 1992, p. 494) 10-16. Computational Methods for Nonlinear Phenomena, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 55) 12-14. Topology and Field Theory of 3-4 Dimensional Algebras, Research Institute

..................................................................................................................................................................................... ______ _ for Mathematical Sciences, Kyoto University. (Jul./Aug. 1992, p. 629)

13-16. Joint Mathematics Meetings, San Antonio, TX. (including the annual meetings of the AMS, AWM, MAA, and NAM)

INFORMATION: H. Daly, AMS, P.O. Box 6887, Providence, RI 02940.

15-16. 1992-1993 ASL Winter Meeting, San Antonio, TX. (May/Jun. 1992, p. 495) 15-17. International Conference on Com· plex Analysis and its Applications, Hong Kong University of Science and Technology, Hong Kong. (Sep. 1992, p. 771) 17-22. 1993 IEEE International Symposium on Information Theory, San Antonio, TX. (Feb. 1992,p. 149)

17-23. Combinatorial Optimization, Oberwolfach, Federal Republic of Germany. (Jan. 1992,p.55)

18-21. Numerical Analysis of Partial Differ· ential Equations in Engineering and Related Topics, Research Institute for Mathematical Sciences, Kyoto University. (Jul./Aug. 1992, p. 630)

20--22. Hyperfunctions and Differential Equations, Research Institute for Mathematical Sciences, Kyoto University. (Jul./Aug. 1992, p. 630) 24-30. Optimale Steuerung Partieller Dif· ferentialgleichungen, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 55) 25-27. Fourth ACM-SIAM Symposium on Discrete Algorithms (SODA), Austin, Texas. 25-29. IMA Workshop on Robotics, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN. (Nov. 1991, p. 1171)

26-28. The Development of Algebraic Toplogy, Research Institute for Mathematical Sciences, Kyoto University. (Jul./Aug. 1992, p. 630)

31-February 6. Asymptotics and Adaptivity in Computational Mechanics, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 55)

February 1993

1-3. IMA Minisymposium on Biological Control of Movement, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN. (Nov. 1991, p. 1172)

5-7. Representation Theory and Analysis on Homogeneous Spaces in Memory of Lawrence Corwin, Rutgers University, New Brunswick, NJ. (Sep. 1992, p. 771) 7-11. The 29th Australian Applied Mathematics Conference (AMC '93), Hochstens, .Hahndorf, South Australia. (Sep. 1992, p. 771) ·7 -13. Partielle Differentialgleichungen, Ober-


wolfach, Federal Republic of Germany. (Jan. 1992,p.55) 8-17. IMA WorkshoponNonsmoothAnaly· sis and Geometric Methods in Deterministic Optimal Control, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN. (Mar. 1992, p. 250) 14-20. Applicable Algebra, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 55)

15-19. 1993 Mathematics-in· Industry Study Group, Melbourne, Australia. (Sep. 1992, p. 771)

* 15-19. International Conference on Math· ematics, Computer, Control, and Investments, Moscow, Russia.

PROGRAM: The main goal of this conference is: mathematical modelling of the control and investment processes for making grounded macroeconomical decisions for the regional department development and automatizing of the production processes. The work of the conference will be divided into four sections: 1). forecasts of the regional and department investment; 2). mathematical modelling of the control processes; 3). computer-aided design; 4). computerizing of production processes and scientific researches. INFORMATION: I. Yaroshevskaya, Head of Sector of Visiting-Programs, CNII Project, Arch. Vlasova St., 51, Moscow, 117393, Russia; FAX: (095) 128 05 90; email: [email protected]; tel: (095) 128 05 92.

21-27. Curves, Images, Massive Computation, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 55) 22-28. Workshop on Pattern Formation and Symmetry Breaking, Fields Institute for Research in Mathematical Sciences, Waterloo, Ontario. (Apr. 1992, p. 351) 25-March 1. A Conference on Numerical Analysis with Automatic Result Verification, Lafayette, LA. (May/Jun. 1992, p. 495) 28-March 6. Medical Statistics: Statistical Methods for Risk Assessment, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 55)

March 1993

7-13. Mathematische Stochastik, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 55) 14-20. Gewohnliche Differentialgleichungen, Oberwolfach, Federal Republic of Germany. (Jan. 1992,p.55) 15-18. Arithmetic Geometry with an Emphasis on Iwasawa Theory, Arizona State University, Tempe, AZ. (Sep. 1992, p. 771) 15-19. IMA WorkshoponSystemsandCon·


trol Theory for Power Systems, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN. (Nov. 1991, p. 1172)

17-20. Pure and Applied Linear Algebra: The New Generation, University of West Florida, Pensacola, FL. (May/Jun. 1992, p. 495) 21-27. Analysis auf Lokalsymmetrischen Riiumen, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 55)

* 22-24. Sixth SIAM Conference on Parallel Processing for Scientific Computing, Norfolk, VA. (Please note date chage from Mar. 1992, p. 250)

PROGRAM: Contributed presentations in lecture and poster format are invited in all areas consistent with the following conference themes: GRAND CHALLENGE PROBLEMS-A). Applications: aerodynamics, biological simulations and computations, climate and ocean modeling, ground water transport and remediation; B). Infrastructure: distributed computing, large-scale data analysis, visualization, parallel environments and tools, and scalable parallel algorithms and libraries. CALL FOR PAPERS: When submitting your 100-word abstract, be sure to indicate the type of presentation for which you wish to be considered-a 30-minute, 20-minute, or a poster presentation. For a 30-minute presentation, submit a 750--1000-word extended abstract.

22-28. Workshop on Pattern Formation in Earth Sciences and Biology, Fields Institute for Research in Mathematical Sciences, Waterloo, Ontario. (Apr.1992,p. 351)

28-April 3. Combinatorial Convexity and Algebraic Geometry, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 56) 29-April 2. Workshop on Diophantine Geometry, Mathematical Sciences Research Institute, Berkeley, CA. (May/Jun. 1992, p. 495)

April1993

4-7. First International Cont'erence on Mathematical Linguistics, Barcelona, Spain. (Sep. 1992, p. 772) 4-10. Topics in Pseudo-Differential Op· erators, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 56) 5-9. IMA Thtorial: Design and Analysis of Adaptive Systems, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN. (Nov. 1991, p. 1172) 8-10. Clifford Algebras in Analysis, University of Arkansas, Fayetteville, AR. (Sep. 1992, p. 772) 9-10. Western Section, University of Utah, Salt Lake City, Utah.

947

INFORMATION: W. Drady, AMS, P.O. Box 6887, Providence, RI 02940.

11-17. Arbeitsgemeinschaft mit Aktuellem Thema, Oberwo1fach, Federal Republic of Germany. (Jan. 1992, p. 56)

12-16. IMA WorkshoponAdaptiveControl, Filtering, and Signal Processing, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN. (Nov. 1991, p. 1172)

12-16. GAMM-Jahrestagung 1993, Dresden, Germany. (Sep. 1992, p. 772)

14-16. Seventh SEFI European Seminar on Mathematics in Engineering Education, Eindhoven University of Technology, The Netherlands. (Feb. 1992, p. 149)

14-16. The Mathematics of Food Production, Processing, and Presentation, Belfast, Great Britain. (Sep. 1992, p. 772)

·* 14-23. International Conference in Abstract Analysis, Kruger National Park, Republic of South Africa.

PRoGRAM: The conference will be devoted to various aspects of abstract analysis such as: Banach space theory, Banach lattices and positive operators, operator theory, operator algebras, semi-groups of operators, vector measures, locally convex spaces. CHAIRMAN: J. Swart, University of Pretoria, SA. INTERNATIONAL STEERING COMMITTEE: R. Aron (Kent State U.), A. Pelczynski (Polish Academy of Sciences), J. Diestel (Kent State U.). INVITED SPEAKERS: R.M. Aron (Kent State U.), J. Diestel (Kent State U.), P.O. Dodds (Flinders U.), P. Enflo (Kent State U.), J.J. Grobler (Potchefstroom U. for CHE), H. Jarchow (U. of Zurich), H. Konig (U. of Kiel), V. Lomonosov (Kent State U.), D. Lubinsky (U. of the Witwatersrand), W.A.J. Luxemburg (Caltech), R. Nagel (U. T\ibingen), A. Pelczynski (Polish Academy of Science), G. Pisier (U. of Paris), N. Sauer (U. of Pretoria), Z.-J. Ruan (U. oflllinois). INFORMATION: J. Swart, Dept. of Math. and Applied Math., Univ. of Pretoria, 0002 Pretoria, South Africa, FAX: 27/12/43 4853; email: wsk0007 @upvm2.up.ac.za.

15-22. Symposium on Analytic and Geometric Aspects of Hyperbolic Geometry: Research Level Workshop, University of Warwick, Coventry, UK. (Mar. 1992, p. 250)

18-24. The Arithmetik of Fields, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 56)

18-24. Mathematische Grundlagen und Numerische Verfahren bei Transsonischen Stromungen, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 56)

19-21. SIAM Conference on Mathematical and Computational Issues in the Geo-

948


sciences, Houston, TX. (Jul./ Aug. 1992, p. 631) 25-May 1. Low Dimensional Dynamics, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 56)

27-29. NSF/DoD's National SBIR Conferences, Minneapolis, MN. (Sep. 1992, p. 772)

* 30-May 2. Third Midwestern Geometry Conference, Mizzou, Columbia campus of the University of Missouri.

PRoGRAM: The aim of the conference is to give geometers in the midwest a chance to keep abreast of activity in the field; also grad students are encouraged to attend. Four plenary talks of one hour each and a number of contributed talks of fifteen to twenty minutes each (with much time left over for informal discussions). A limited amount of funding of travel expenses may be available. INVITED SPEAKERS: S. Goldberg, J. Lott, and J. Wolfson. INFORMATION: The Organizing Committee, J.K. Beem, A.D. Helfer, J. Segert, Dept. of Math., Univ. of Missouri, Columbia, MO 65211; [email protected]; tel: Beem 314-882-7877; Helfer 314-882-7283; Segert 314-882-6953; FAX: 314-882-1869.

May 1993

* 2-4. Workshop on Operator Algebras, Institute for Advanced Studies in Mathematics, Technion, Haifa, Israel.

PRoGRAM: The program will cover various topics from the theory of algebras of operators on a Hilbert space with an emphasis on the nonselfadjoint theory. INFORMATION: B. Solei, Dept. of Math., Technion, Haifa 32000, Israel; mar3600@ technion.technion.ac.il.

3-7. IMA Thtorial: Verification Issues in Discrete Event Systems, as well as Performance and Control, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN. (Nov. 1991, p. 1172) 3-9. Workshop on Ecological Systems, Fields Institute for Research in Mathematical Sciences, Waterloo, Ontario. (Apr. 1992, p. 352) 9-15. Reelle Algebraische Geometrie, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 56) 9-17. Jerusalem Combinatorics '93, Hebrew University of Jerusalem, Israel. (Jul./ Aug. 1992, p. 631)

10-12. IMACS Symposium on Signal Processing and Neural Networks-SPANN '93, Universite du Quebec at Montreal, Canada. (Jan. 1992, p. 56)

10-14. IMA Workshop on Discrete Event Systems, Manufacturing Systems, and Communication Networks, Institute for Mathe-


matics and its Applications, University ofMinnesota,Minneapolis,MN.(Nov.1991,p.1172)

* 10-14. The Tenth International Symposium on Applied Algebra, Algebraic Algorithms, and Error Correcting Codes, San Juan de Puerto Rico.

CONFERENGE TOPICS: Error correcting codes, theory and applications; algebraic algorithms; computational methods and complexity issues in computational algebra and geometry; and cryptography and security. INFORMATION: T. Mora, Dipt. di Math., Via L.B. Alberti 4, 1-16132, Genova, Italy; FAX: 39-10-3538769; tel: 39-10-3538739; email: [email protected] or 0. Moreno, Dept. Math., U. of Puerto Rico, Rio Piedras, Puerto Rico 00931; FAX: 1-809-7510625; tel: 1-809-7653263; email: o...moreno @upr 1.upr.clu.edu.

16-22. Mathematical Problems in Viscoelastic Flows, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 56)

* 18-21. Eighth Annual Conference on Struc-ture in Complexity Theory, San Diego, CA.

PROGRAM COMMITTEE: E. Allender, R. Beigel, J. Cai, J. Feigenbaum, S. Homer, K.J. Lange, J. Lutz, S. Mahaney, H. Straubing, J. Toran. CONFERENCE TOPICS: All areas of computational complexity theory, including: structure of complexity classes, relativizations, finite model theory, applications of recursion theory, descriptive complexity, interactive proof systems, cryptographic complexity, parallel complexity classes, and circuit complexity. CALL FOR PAPERS: Send 11 copies of an extended abstract to the program chair: S. Homer, Comp. Sci. Dept., Boston Univ., Boston, MA 02215; email: [email protected]. INFORMATION: J. Royer, Dept. of Comp. and Inf. Sci., Syracuse Univ., Syracuse, NY 13244; email: [email protected].

20-23. International Conference on Approximation Probability and Related Fields, University of California, Santa Barbara, CA. (May/Jun. 1991, p. 477)

21-22. Central Section, Northern lllinois University, DeKalb, IL.

INFORMATION: W.S. Drady, AMS, P.O. Box 6887, Providence, RI 02940.

23-29. Differentialgeometrie im Grossen, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 56)

24-27. COMPEURO '93, Paris-Evry, France. (Jul./Aug. 1992, p. 631)

* 26-29. First International Conference on Dynamic Systems and Applications, Morehouse College, Atlanta, GA.

CONFERENCE TOPICS: Analytical and com-

putational methods in the areas of differential equations, integral equations, integradifferential equations, discrete analogs of these equations, and applications of these equations to science and engineering. CALL FOR TOPICS: Authors are invited to submit, before March 30, 1993, an abstract containing the topic of talk, a summary of talk not to exceed one typed page, full address of each author, along with telephone and FAX number, and email address to address below. INFORMATION: M. Sambandham, Conference Coordinator, Dept. of Math., Morehouse College, Atlanta, GA 30314; email: [email protected]; 404-215-2614; FAX: 404-880-8522.

30--June 1. Canadian Society for the History and Philosophy of Mathematics, Carleton University, Ottawa, Ontario, Canada. (Sep. 1992,p. 772)

30--June 5. Funktionalanalysis und Nichtlineare Partielle DitTerentialgleichungen, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 56)

June 1993

June 1993. Fourth IMACS International Symposium on Computational Acoustics, Cambridge,England. (Jan. 1992, p. 56)

June 1993. GAMM/IFIP - Workshop on Stochastic Optimization: Numerical Methods and Technical Applications, Neubiberg/ Miinchen, Germany. (Sep. 1992, p. 773)

2-5. Ninth Biennial Conference of the Association of Christians in the Mathematical Sciences, Westmont College, Santa Barbara, CA. (Sep. 1992, p. 773)

6--9. Annual Meeting of the Statistical Society of Canada, Wolfville, Nova Scotia, Canada. (Feb. 1992, p. 149) 6--12. Analysis auf Kompakten Varietiiten, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 56)

7-10. SIAM Conference on Mathematical and Numerical Aspects of Wave Propagation Phenomena, University of Delaware, Newark, DE. (Jul./Aug. 1992, p. 631) 7-11. IMA Thtorial: Mathematical Theory which Has become an Integral P!p't of Modern Financial Economics, Institdte for Mathematics and its Applications, University of Minnesota, Minneapolis, MN. (Nov. 1991, p. 1172)

7-13. Workshop on Pattern Formation and Cellular Automata, Fields Institute for Research in Mathematical Sciences, Waterloo, Ontario. (Apr. 1992, p. 352)

13-19. Differential-Algebraic Equations: Theory and Applications in Technical Simulation, Oberwolfach, Federal Republic of

-·--·•m Meetings and Conferences

Germany. (Jan. 1992, p. 56) 14-17. The Fifth Asian Logic Conference, National University of Singapore, Singapore. (May/Jun. 1992, p. 496) 14-18. IMA Workshop on Mathematical Finance, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN. (Nov. 1991, p. 1172) 14-18. Linear Logic Workshop, Mathematical Sciences Institute, Cornell University, Ithaca, NY. (May/Jun. 1992, p. 496)

15-18. Third IMACS International Workshop on Qualitative Reasoning and Decision Technologies-QR&DT-3, Polytechnique of Barcelona, Spain. (Jan. 1992, p. 56) 20--26. Konvexgeometrie, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 56)

21-25. Twenty-second Conference on Stochastic Processes and their Applications, Amsterdam, The Netherlands. (Sep. 1992, p. 773) 21-25. Graphs on Surfaces, Johns Hopkins University, Baltimore, MD. (Sep. 1992, p. 773)

*21-25. Fifth International Conference on Formal Power Series and Algebraic Combinatorics, University of Florence, Florence, Italy.

PRoGRAM: The purpose of the conference is to thoroughly explore the relationships between combinatorics and computer science and their applications to other parts of mathematics and science. ·The conference will consist of 7 invited 50-minute talks, 27 contributed 30-minute communications, a poster session, and software demonstrations. The official languages are English, French, and Italian. ORGANIZING COMMITTEE: G. Aguzzi, E. Barcucci, F. Brenti, J.M. Fedou, E. Grazzini, R. Johnson, R. Mantaci, R. Pinzani (chair), and M.C. Verri. CONFERENCE TOPICS: Formal power series in relation to combinatorics, computer science, and control theory; combinatorics on words and formal languages; algebraic and enumerative combinatorics; orthogonal polynomials, q-analogues; combinatorics and group representations; algorithms and data structures; and computer algebra. INVITED SPEAKERS: F. Bergeron, R. Cori, M. Fliess, C. Itzyhson, A.M. Odlyzko, G.C. Rota, R. Stanley. CALL FOR PAPERS: Please send three copies of an extended abstract (maximum 10 pages) to the chairman of the organizing committee (Address below) by November 15, 1992. INFORMATION: R. Pinzani, Dipt. di Sistemi e Informatica, Via Lombroso, 6117, 1-50134- Italy; FAX: (55) 4223935; email: [email protected].

23-26. Convergence in Ergodic Theory and Probability, Ohio State University, Columbus,


OH. (May/Jun. 1992, p. 496) 27-July 3. Algebraische K-Theorie, Oberwolfach, Federal Republic of Germany. (Jan. 1992,p.57)

* 29-July 2. Number Theoretic and Algebraic Methods in Computer Science, International Center of Scientific and Technical Information (ICSTI), Moscow. (Sep. 1992, p. 773)

July 1993

4-9. Fifth International Fuzzy Systems Association World Congress, Seoul, Korea. (Mar. 1992, p. 250) 4-10. Freie Randwertprobleme, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p.57) 4-10. Fifth International Congress on Algebraic Hyperstructures and Applications, lasi, Romania. (Sep. 1992, p. 773) 6--9. European Multigrid Conference '93, Amsterdam, The Netherlands. (May/Jun. 1992, p. 496) 7-10. The Second International Conference on Fluid Mechanics (ICFM-11), Beijing, China. (Sep. 1992, p. 773) 11-17. Nonlinear Evolution Equations, Solutions and the Inverse Scattering Transform, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 57) 12-16. SIAM Annual Meeting, Philadelphia, PA. (Mar. 1992, p. 251)

* 12-16. Chaotic Numerics (An International Workshop on the Approximation and Computation of Complicated Dynamical Behavior), Deakin University, Geelong, Australia.

KEYNOTE SPEAKERS: W.-J. Beyn (U. of Bielefeld), S.N. Chow and J.K. Hale (Georgia Inst. of Tech.), J. Lorenze (U. of New Mexico). CALL FOR PAPERS: Short talks or computing demonstrations from conference participants are invited. INFORMATION: P.E. Kloeden, School of Comp. and Math., Deakin University of Geelong 3217, Victoria, Australia; email: [email protected] or K.J. Palmer, Dept. of Math. and Comp. Sci., U. of Miami, Coral Gables, FL 33124; email: [email protected].

12-23. Conference on Universal Algebra and Category Theory, Mathematical Sciences Research Institute, Berkeley, CA. (May/Jun. 1992, p. 496) 18-24. Dynamische Systeme, Oberwolfach, Federal Republic of Germany. (Jan. 1992; p. 57)

25-31. Geometric Methods in Theoretical and Computational Mechanics, Oberwolfach, Federal Republic of Germany. (Jan. 1992,p.57)

949

* 26-30. NATO Advanced Research Workshop: Classical and Axiomatic Potential Theory, Les Arcs, Savoy, France.

PRoGRAM: Subject to availability of NATO funding, attendance by invitation only. ORGANIZERS: J. Bliedtner, Frankfurt; D. Feyel, Paris; M. Goldstein, Montreal; K. GowriSankaran, Montreal; W.K. Hayman, York; I. Netuka, Praha. KEYNOTE SPEAKERS: The organizers and D. Armitage (Belfast), N. Bouleau (Paris), A. Eremenko (West Lafayette), H. Foellmer (Bonn), W. Hansen (Bielefeld), W. Hengartner (Ste. Foy, Canada), A. de la Pradelle (Paris), T. Murai (Nagoya), J.-M. Wu (Urbana). INFORMATION: M. Goldstein or K. GowriSankaran, Dept. of Math. and Stats., McGill Univ., 805 Sherbrooke W., Montreal, Canada, H3A 2K6; email: gowri@ math.mcgill.ca.

August 1993

1-7. Abelsche Gruppen, Oberwo1fach, Federal Republic of Germany. (Jan. 1992, p. 57) 1-14. Groups 93 Galway/St. Andrews, Galway, Ireland. (May/Jun. 1992, p. 496) 2-6. Second Gauss Symposium, Munich, Germany. (May/Jun. 1992, p. 497) 2-6. International Symposium on the Mathematical Theory of Networks and Systems, Regensburg, Germany. (Sep. 1992, p. 774) 2-13. Georgia International Topology Conference, University of Georgia, Athens, GA. (May/Jun. 1992, p. 497) 4-6. SIAM Conference on Simulation and Computational Probability, San Francisco, CA. (Jul./Aug. 1992, p. 632) 7-21. Semigroups and their Applications, York, England. (Sep. 1992, p. 774) 8-14. Konstruktive Approximationstheorie,

· Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 57) 9-12. Joint Statistical Meetings, San Francisco, CA. (Nov. 1991, p. 1172) 9-13. Sixth International Conference on Structural Safety and Reliability (ICOSSAR '93),Innsbruck,Austria.(Sep. 1992,p. 774) 13-17. Second International Colloquium on Numerical Analysis, Plovdiv, Bulgaria. (Dec. 1991, p. 1341)

* 14-17. First Workshop on Oscillation The-ory, Plovdiv, Bulgaria.

ORGANIZING COMMITTEE: D. Bainov (Secretary), V. Covachev (Secretary), G. Ladas (Chair), V. Petrov, P. Popivanov, I. Stavroulakis, W. Trench, J. Wiener, S. Zlatev. INFORMATION: D. Bainov, P.O. Box 45, 1504 Sofia, Bulgaria.

15-21. Noncommutative Algebra and Rep-

950


resentation Theory, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 57) 16-19. Third SIAM Conference on Linear Algebra in Signals, Systems, and Control, University of Washington, Seattle, WA. (Jul./Aug. 1992, p. 632) 16-20. First European Nonlinear Oscillations Conference, Hamburg, Germany. (Sep. 1992,p. 774) 17-20. The Mathematical Heritage of Sir William Rowan Hamilton, Dublin, Ireland. (May/Jun. 1992, p. 497) 17-20. International Symposium on Statistics with Non-precise Data, Innsbruck, Austria.(Sep. 1992,p. 774) 17-21. Second International Conference on Finite Fields: Theory, Applic;ations, and Algorithms, University of Nevada, Las Vegas. (sep. 1992, p. 774) 18-22. Fourth International Colloquium on Differential Equations, Plovdiv, Bulgaria. (Dec. 1991,p. 1341) 22-28. Special Complex Varieties, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 57) 22-29. Twenty-ninth International Congress of History of Science, Zaragoza, Spain. (Apr. 1992, p. 352) 23-28. International Conference on Algebra Dedicated to the Memory of M.I. Kargapolov, Krasnoyarsk, Russia. (Jul./Aug. 1992,p.632) 25-September 3. Forty-ninth Biennial Session of the International Statistical Institute, Firenze, Italy. (Nov. 1991, p. 1172) 29-September 4. Random Graphs and Combinatorial Structures, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 57) 30-September 3. Inverse Problems: Principles and Applications in Geophysics, Technology, and Medicine, Potsdam (near Berlin), Germany. (Sep. 1992, p. 774)

September 1993

5-11. Novikov Conjectures, Index Theorems and Rigidity, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 57)

* 5-11. Nonlinear Numerical Methods and Rational Approximation, University of Antwerp, Belgium.

PRoGRAM: Each of the following sessions will be introduced by a one-hour survey lecture. All other participants are invited to present a 20-minute research talk. Sessions: The emphasis will be on Pade approximation, rational interpolation, rational -approximation, continued fractions and orthogonal polynomials. For each of these topics, multivariate and multidimensional problems, applications, error analysis, and software development are welcome.


ORGANIZER: A. Cuyt (UIA, Antwerp). INVITED SPEAKERS: A. Gonchar (Moscow), M. Gutknecht (Zurich), W.B. Jones (Boulder, U.S.), D. Lubinsky (S. Africa), E. Saff (U.S.). INFORMATION: A. Cuyt, Dept. of Math. and Comp. Sci., U. of Antwerp (UIA), Universiteitsplein 1, B-2610 Wilrijk-Antwerp, Belgium, tel: (32) 3/820.24.07; FAX: (32) 3/820.22.44; email: [email protected].

5-12. First World Conference on Branching Processes, Varna, Bulgaria. (May/Jun. 1992, p. 497) 12-18. Topologie, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 57) 13-17. Fourth European Software Engineering Conference, Garmisch, Germany. (Jul./Aug. 1992, p. 632) 13-18. Different Aspects of Differentiability, Warsaw, Poland. (May/Jun. 1992, p. 497) 19-25. Mathematical Game Theory, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 57) 22-23. Central Section, Texas A&M University, College Station, TX.

INFORMATION: W.S. Drady, AMS, P.O. Box 6887, Providence, RI 02940.

26-0ctober 2. Diophantische Approximationen, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 57)

October 1993

3-9. Arbeitsgemeinschaft mit AktueUem Thema, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 57) 17-23. Geometrie, Oberwolfach, Federal Republic of Germany. (Jan. 1992, p. 57) 25-29. Third SIAM Conference on Geometric Design, Seattle, WA. (Jul./Aug. 1992, p. 632)

* 27-30. Seventh International Conference on Domain Decomposition Methods, Penn State University, State College, PA.

INFORMATION: Ms. R. Manning, Dept. of Math., Penn State Univ., University Park, PA 16802; 814-865-7527; FAX: 814-865-3735; email: [email protected].

31-November 6. Algorithmische Methoden der Diskreten Mathematik, Oberwolfach, Federal Republic of Germany. (Mar. 1992, p. 251)

The following new announcements wiD not be repeated until the criteria in the last paragraph in the box at the beginning of this section are met.

................... ····························-------------~1§"-""" Meetings and Conferences

June 1994

*Summer 1994. Summer Regional CentersTRANSIT, Ohio State University, Columbus, OH.

PRoGRAM: The Ohio State University invites applications for an NSF project to establish school/university teams as regional technology centers. Regional team training will be provided through summer in-service sessions and academic year follow-up conferences at Ohio State. Local living expenses with stipend support for precollege team members is available. Regional teams will help create and/or revise inservice training modules. Regional center teams will begin training teachers as school technology specialists during Summer 1994 at their regional sites. Deadline for completed applications is February 15, 1993.

INFORMATION: TRANSIT, c/o F. Demana and B. Waits, The Ohio State University, Math. Dept., 231 West 18th Ave., Columbus, QH 43210; 614-292-7223.

July 1994

* 11-15. Fourteenth IMACS World Congress on Computational and Applied Mathematics, Georgia Institute of Technology, Atlanta, GA.

PRoGRAM: Sessions in the multitude of areas of computational and applied mathematics are invited. SCIENTIFIC COMMITTEE: W.F. Ames, Chair; Y.H. Berthelot, L. Dieci, J.P. Gilmore, J. Herod, M. Ingram. CALL FOR PAPERS: Deadline for contributed papers is December 1, 1993. INFORMATION: W.F. Ames, World Congress 14, School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160; FAX: 404-853-9112; email: [email protected]; 404-894-3953.

August 1994

* 3-11. The International Congress of Mathematicans 1994, Ziirich, Switzerland. (Please note update to Mar. 1992, p. 249)

PRoGRAM: The next International Congress of Mathematicians will be held in ZUrich under the auspices of the International Mathematical Union. The lectures will be held at the Kongresshaus of the city of ZUrich and in lecture theatres at the Federal Institute of Technology (ETHZ) and at the University of ZUrich. The Swiss Mathematical Society has entrusted a committee with the organization of the Congress. The president of this committee is H. Carnal and the secretary is C. Blatter. The administration of the participants (hotel reservations, etc.) has been delegated to a professional congress organizer. The first announcement containing further details and an application form will be distributed in July 1993. INFORMATION: ICM 94, International Congress of Mathematicians, ETH Zentrum, CH-8092 Ziirich, Switzerland.

Translations of Mathematical Monographs

Multidimensional Residues and Their Applications A. K. Tsikh Volume 103

Tsikh's book presents a systematic account of residues associated with holomorphic mappings and indicates many applications. The book begins with preliminaries from the theory of analytic sets, together with material from algebraic topology that is necessary for the integration of differential forms over chains. Tsikh then presents a detailed study of residues associated with mappings that preserve dimension (local residues). There is also a treatment of residues associated with mappings that reduce dimension-that is, residues of semimeromorphic forms, connected with integration over tubes around nondiscrete analytic sets.

1991 Mathematics Subject Classification: 32 ISBN 0-8218-4560-8, 188 pages (hardcover), July 1992 Individual member $71, List price $119, Institutional member $95 Your ordering code is MMON0/103NA

American Mathematical Society. All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepayment required. Order from: American Mathematical Society, P. 0. Box 1571, Annex Station, Providence, Rl 02901-1571, or call toll free 800-321-4AMS in the U.S. and Canada to charge with VISA or Master Card. Residents of Canada, please include 7% GST.


New Publications Offered by the AMS

L__A_o_vA_N_c_E_s_I_N_s_o_v_IE_T_M_A_:r_H_E_M_AT_I_c_s____,ll L __ c_o_N_T_E_M_P_o_R_A_R_v_M_A_:r_H_E_M_A_:r_lc_s _ __.

" ' Sovw 1

MATHJC~L\ I JC S

Topics In Nonpanunelrlc Estlmatlon

llZ.·-•

Topics in Nonparametric Estimation R. Z. KhasminskiT, Editor Volume 12

This book contains papers presented at the Seminar on Mathematical Statistics held at the Institute for Problems of Information Transmission of the Academy of Sciences in the former Soviet Union. Founded in the mid-1960s, this seminar is still active today and

attracts most of the researchers in Moscow who are interested in mathematical statistics. The topics covered include density, regression, and image estimation, adaptive estimation, stochastic approximation, median estimation, sequential experimental design, and large deviations for empirical measures. This collection is distinguished by the high scientific level of the papers and their modern approach. This book will be of interest to scientists and engineers who use probability and statistics, to mathematicians and applied statisticians who work in approximation theory, and to computer scientists who work in image analysis.

Contents A. Samarov, Lower bound for the integral risk of density function estimates; A. S. Nemirovskii, On nonparametric estimation of functions satisfying differential inequalities; A. P. Korostelev and A. B. Tsybakov, Asymptotically minimax image reconstruction problems; 0. V. Lepskii, On problems of adaptive estimation in white Gaussian noise; B. T. Polyak and A. B. Tsybakov, On stochastic approximation with arbitrary noise (the KW-case); E. N. Belitser and A. P. Korostelev, Pseudovalues and minimax filtering algorithms for the nonparametric median; A. Yu. Veretennikov, On large deviations for ergodic process empirical measures; V. G. Spokolnyl, On asymptotically optimal sequential experimental design.

1991 Mathematics Subject Classification: 60F10, 60035, 62005, 62007, 62Kxx,62L12,62L20,62~05,62~20;60J05,60J10,60J60,68Tl0 ISBN 0-8218-4111-4, LC 91-640741, ISSN 1051-8037 150 pages (hardcover), October 1992 Individual member $59, List price $99, Institutional member $79 To order, please specify ADVSOV/12N

The Madison Symposium on Complex Analysis

The Madison Symposium on Complex Analysis Edgar Lee Stout and Alexander Nagel, Editors Volume 137

This volume contains the proceedings of a Symposium on Complex Analysis,

• held at the University of Wisconsin at Madison in June 1991 on the occasion of the retirement of Walter Rudin. During the

week of the conference, a group of about two hundred mathematicians from many nations gathered to discuss recent developments in complex analysis and to celebrate Rudin's long and productive career. Among the main subjects covered are applications of complex analysis to operator theory, polynomial convexity, holomorphic mappings, boundary behavior of holomorphic functions, function theory on the unit disk and ball, and some aspects of the theory of partial differential equations related to complex analysis. Containing papers by some of the world's leading experts in these subjects, this book reports on current directions in complex analysis and presents an excellent mixture of the analytic and geometric aspects of the theory.

Contents P. Ahern and W. Rudin, Hulls of3-spheres in IC 3 ; H. Alexander, On the totally real spheres of Ahern and Rudin and Weinstein; E. Amar, Dominant sets on the unit sphere ofiC"; S. Bell, The Cauchy transform, the Szego projection, the Dirichlet problem, and the Ahlfors map; C. Berenstein, D.-C. Chang, D. Pascuas, and L. Zalcman, Variations on the theorem of Morera; F. Berteloot, A remark on local continuous extension of proper lzolomorphic mappings; T. Bloom, A multivariable version of the Miintz-Szasz theorem; J, Bruna and J, M. Ortega, On A 00 interpolating sets lying on curves; L. Bungart, Vanishing cup products on pseudoconvex CR manifolds; J, F. Carlson and D. N. Clark, Ext for Hilbert modules; D.-C. Chang, S. G. Krantz, and E. M. Stein, Hardy spaces and elliptic boundary value problems; J, Chaumat and A.-M. Chollet, Representation integral de certaines classes de jets de Whitney; M. Christ, A class of hypoelliptic PDE admitting non-analytic solutions; W. C. Connett and A. L. Schwartz, Fourier analysis off groups; B. Coupet, Uniform extendibility of automorphisms; D. Cruz-Uribe, SFO, The class L log L with weights; J. P. D'Angelo, The geometry of proper holomorphic maps between balls; P. Duren, D. Khavinson, H. S. Shapiro, and C. Sundberg, Contractive zero-divisors in Bergman spaces; F. Forelli, The theorem of F. and M. Riesz for unbounded measures; F. Forstneric, Intersections of analytic and smooth discs; J, E. Fornress and N. Sibony,

Use the order form in the back of this issue or call800-321-4~S (800-321-4267) in the U.S. and Canada to use VISA or ~asterCard.

952 NOTICES OF THE AMERICAN MAfHEMATICAL SOCIETY

""""" """'" " " "'""""""""""" ""~~---~§'~'\\11 '-@ ~r


Critically finite rational maps on lP' 2 ; J, Globevnik, A disc in the ball approaching the boundary non-nontangentially; A. Alexandrou Himonas, On hypoellipticity for sums of squares of vector fields; F. Jafari, Composition operators in Bergman spaces on bounded symmetric domains; S. Kallman, Isotopic embeddings of affine algebraic varieties into C "; W. Krolikowski and E. Ramirez de Arellano, Polynomial solutions of the Fueter-Hurwitz equation; S.-Y. Li, Corona problem of several complex variables; D. Ma, Sharp estimates of the Kobayashi metric near strongly pseudoconvex points; P. R. Mercer, Proper maps, complex geodesics and iterates of holomorphic maps of convex Domains in C "; C. Mueller, On the polynomial hull of moo balls; Y. Nishimura, Analytic automorphisms of C 2 which preserve the coordinate axes; M. Putinar and N. Salinas, Analytic transversality and nullstellensat:: in Bergman space; J, P. Rosay, On the radial maximal function and the Hardy Littlewood maximal function in wedges; M.-C. Shaw, Local and semi-global existence theorems for 8b on CR manifolds; D. Sarason, Making an outer fimction from two inner functions; A. Stanoyevitch, Arclength formulas in conformal mapping; D. A. Stegenga and K. Stephenson, Sharp geometric estimates of the distance to VMOA; E. L. Stout, On the one-dimensional extension property; T.V. Tonev, Analytic r -almost-periodic structures in algebra spectra; D. C. Ullrich, Recurrence for lacunary cosine series; J, Wermer, Maximum modulus algebras.

1991 Mathematics Subject Classification: 32-xx, 30-xx; 47-xx, 42-xx ISBN 0-8218-5147-0, LC 92-23702, ISSN 0271-4132 478 pages (softcover), October 1992 Individual member $29, List price $49, Institutional member $39 To order, please specify CONM/137N

TRANSLATIONS OF MATHEMATICAL MONOGRAPHS

'l'ranlllattoaeol

MATHEMATICAL MONOGRAPHS

Confotmal MappingS and Boundruy Value Problems

·---

Conformal Mappings and Boundary Value Problems Guo-Chun Wen Volume 106

This book presents a systematic exposition of the theory of conformal mappings, boundary value problems for analytic and harmonic functions, and the relationship between the two subjects. It is suitable for use as an undergraduate or graduate level textbook, and exercises are included.

The first three chapters recount existence and uniqueness theorems of conformal mappings from simply and multiply connected domains to standard domains, some properties of analytic functions, harmonic functions and schlicht meromorphic functions, and representations of conformal mappings. In the remaining three chapters, the basic boundary value problems for analytic and harmonic functions ate discussed in detail, including some new methods and results obtained by the author. For example, the Riemann-Hilbert boundary value problem with piecewise continuous coefficients in a multiply connected domain is covered in chapter five, and some irregular oblique derivative problems are treated in chapter six.

Contents Some properties of analytic and harmonic functions; Conformal mappings of simply connected domains; Conformal mappings of multiply connected domains; Applications of integrals of Cauchy type to boundary value problems: The Hilbert boundary value problem for analytic funcitons on multiply connected domains; Basic boundary value problems for harmonic functions; Appendix !. A

brief introduction to quasiconformalmappings; Appendix 2. Some connections between integral equations and boundary value problems.

1991 Mathematics Subject Classification: 30C35, 30099, 30E25; 30C20, 30C60, 30C75 ISBN 0-8218-4562-4, LC 92-14225, ISSN 0065-9282 303 pages (hardcover), October 1992 Individual member $59, List price $99, Institutional member $79 To order, please specify MMON0/106N

-"' MATifEMATICAL MONOGRAPHS

Selected Problems In Real Analysis ........... u.o.llall-. ........... A.N.l'odlllao;ylav

Selected Problems in Real Analysis B. M. Makarov, M. G. Goluzina, A. A. Lodkin, and A. N. Podkorytov Volume 107

This book is intended for students wishing to deepen their knowledge of

·--- mathematical analysis and for those teaching courses in this area. It differs

from other problem books in the greater difficulty of the problems, some of which are well-known theorems in analysis. Nonetheless, no special preparation is required to solve the majority of the problems. Brief but detailed solutions to most of the problems are given in the second part of the book. This book is unique in that the authors have aimed to systematize a range of problems that are found in sources that are almost inaccessible (especially to students) and in mathematical folklore.

Contents Introduction; Sequences; Functions; Series; Integrals; Asymptotics; Functions (continuation); Lebesgue measure and the Lebesgue integral; Sequences of measurable functions; Iterates of transformations of an interval; Answers; Appendix I-ll.

1991 Mathematics Subject Classification: 26-01, 28-01 ISBN 0-8218-4559-4, LC 92-15594, ISSN 0065-9282 370 pages (hardcover), October 1992 Individual member $67, List price $112, Institutional member $90 To order, please specify MMON0/107N

__ ., MATHEMATICAL

MONOGRAPHS

Tensor Spaces and Exlerlor Algebra

·----·

Tensor Spaces and Exterior Algebra Takeo Yokonuma Volume 108

This book explains, as clearly as possible, tensors and such related topics as tensor products of vector spaces, tensor algebras, and exterior algebras. You will appreciate Yokonuma's lucid and methodical treatment of the subject. This book is useful in undergraduate and

graduate courses in multilinear algebra. Tensor Spaces and Exterior Algebra begins with basic notions

associated with tensors. To facilitate understanding of the definitions, Yokonuma often presents two or more different ways of describing one object. Next, the properties and applications of tensors are developed, including the classical definition of tensors and the description of relative tensors. Also discussed are the algebraic foundations of tensor calculus and applications of exterior algebra to determinants and to geometry. This book closes with an examination of algebraic systems with bilinear multiplication. In particular, Yokonuma discusses the



theory of replicas of Chevalley and several properties of Lie algebras deduced from them.

Contents Definition of tensor products; Tensor and tensor algebras; Exterior algebra and its applications; Algebraic systems with bilinear multiplication. Lie algebras; References for the english edition.

1991 Mathematics Subject Classification: 15A69; 15A75 ISBN 0-8218-4564-0, LC 92-16721, ISSN 0065-9282 131 pages (hardcover), October 1992 Individual member $41, List price $69, Institutional member $55 To order, please specify MMON0/108N

-of


.........

--Nonlinear Semigroups lsao Miyadera Volume 109

This book presents a systematic exposition of the general theory of nonlinear contraction semigroups in Banach spaces and is aimed at students and researchers in science and engineering as well as in mathematics. Suitable for use as a textbook in graduate courses and seminars, this self-contained

book is accessible to those with only a basic knowledge of functional analysis. After prerequisites presented in the first chapter, Miyadera covers the basic properties of dissipative operators and nonlinear contraction semigroups in Banach spaces. The generation of nonlinear contraction semigroups, the Komura theorem, and the Crandall-Liggett theorem are explored, and there is a treatment of the convergence of difference approximation of Cauchy problems for w-dissipative operators and the Kobayashi generation theorem of nonlinear semigroups. Nonlinear Semigroups concludes with applications to nonlinear evolution equations and to first order quasilinear equations.

Contents Basic results of functional analysis; Dissipative operators; Semi groups of nonlinear contractions; Generation of semi groups of nonlinear contractions; Cauchy's problems for evolution equations; Convergence and pertllrbation of nonlinear semigroups; Quasilinear partial differential equations of first order.

1991 Mathematics Subject Classification: 47H20, 47H06; 35F25, 35025 ISBN 0-8218-4565-9, LC 92-11318, ISSN 0065-9282 230 pages (hardcover), October 1992 Individual member $59, List price $99, Institutional member $79 To order, please specify MMON0/109N

-of


B.V.SIJGu

·---

Introduction to Complex Analysis Part II. Functions of Several Variables B. V. Shabat Volume 110

Since the 1960s, there has been a flowering in higher-dimensional complex analysis. Both classical and new results in this area have found numerous applications in analysis,

differential and algebraic geometry, and, in particular, contemporary mathematical physics. In many areas of modern mathematics, the mastery of the foundations of higher-dimensional complex analysis has become necessary for any specialist. Intended as a first study of higher-dimensional complex analysis, this book covers the theory

of holomorphic functions of several complex variables, holomorphic mappings, and submanifolds of complex Euclidean space.

Contents Holomorphic functions of several variables; Basic geometric concepts; Analytic continuation; Meromorphic functions and residues; Some problems of geometric function theory.

1991 Mathematics Subject Classification: 32-01, 32-02 ISBN 0-8218-4611-6, LC 92-19985, ISSN 0065-9282 371 pages (hardcover), October 1992 Individual member $110, List price $183, Institutional member $146 To order, please specify MMONO/llON

PROCEEDINGS OF THE STEKLOV INSTITUTE

Ar-J-.q( ........ -·-CiaamCIIIII:JiaQIIItQIIII ----a.A..CIUIIOM 'ftillfiD-

OF MATHEMATICS

Galois Theory, Rings, Algebraic Groups and Their Applications Volume 183

This collection consists of original work on Galois theory, rings and algebras, algebraic geometry, group representations, algebraic K -theory, and some of their applications.

This volume was prepared in honor of Professor Dmitri1 Konstantinovich

Faddeev, Corresponding Member of the Academy of Sciences of the USSR (renamed Russian Academy of Sciences), Laureate of the State Prize, and President of the Leningrad Mathematical Society (renamed St. Petersburg Mathematical Society).

Contents V. A. Andrunakievich and Yu. M. Ryabukhin, Closure operators on algebras, and strongly regular algebras; M. I. Bashmakov, Rational points on elliptic curves; N. A. Vavilov, On subgroups of split classical groups; V. E. Voskresenslui, Computation of the volumes of some classical fundamental domains of the group of integral matrices; S. V. Vostokov, On an elementary abelian p-extension of a multidimensional local field; N. L. Gordeev, On algebras of invariants of finite groups; V. A. Gritsenko, The Maass space for SU(2, 2). Heeke rings and zeta-functions; P. M. Gudivok and E. Ya. Pogorilyak, On modular representations of finite groups over integral domains; Yu. A. Drozd, Finite modules over pure Noetherian algebras; A. E. Zalesskfi, The eigenvalue 1 of matrices of complex representations of finite Chevalley groups; E. I. Zel'manov and A. I. Kostrikin, A theorem on sandwich algebras; V. A. Iskovskikh, A simple proof of a theorem of Gizatullin; V. V. lshkhanov, On the imbedding problem with nonabelian kernel of order p4 ; B. B. Lur'e, On universally solvable imbedding problems; Yu. I. Manin, Superalgebraic curves and quantum strings; A. S. Merkur' ev, Generators and relations for the Brauer group of a field; A. V. Mikhalev, Extension of multiplicative isomorphisms of semiprime rings to their orthogonal completions; L. A. Nazarova, V. M. Bondarenko, and A. V. Rolter, Tame partially ordered sets with involution; A. N. Parshin, Galois cohomology and the Brauer group of local fields; V. P. Platonov and V. V. Benyash-Krivets, Character rings of representations of finitely generated groups; D. A. Suprunenko, On conjugacy in the special linear group; A. A. Suslin, K 3 of a field and the Bloch group; I. R. Shafarevich, On Luroth's problem; A. V. Yakovlev, Galois extensions with solvable group; V. I. Yanchevskfi, Reduced norms of simple algebras over function fields.

(continued)



1991 Mathematics Subject Class~fication:06,11,12,13,14,15,16,17,19,20,81ISBN 0-8218-3140-2, LC 91-39412, ISSN 0081-543X269 pages (softcover), 1992Individual member $90, List price $150, Institutional member $120To order, please specify STEKLOll83N

Operator Theory witha Random Potential,and Some Questionsof Statistical PhysicsV. N. Popov, EditorVolUlne 184

This collection is devoted to problenlsof operator theory with a random potentialand a number of problems of statisticalphysics. For the Schrc)dinger operator

with a potential randomly depending on tilne, rnean wave operators,and the mean scattering operator are cOlnputed. and it is shown that theaveraged dynamics behaves like free dynamic~ in the linlit of infinitetime. Results of applying the method of functional integration to saIneproblems of statistical physics are presented: the theory of systenls withmodel Hamiltonians and their dynanlics, ferrornagnetic systenls of spin1/2, Coulomb and quantum crystals.

This collection is intended for specialists in spectral theory andstatistical physics.

ContentsS. E. Cheremshantsev, Theory of scattering b.va Brownian particle; V. N.Popov, The theory of model Hamiltonians and the method q{fllflctional

integration; S. A. Fedotov, An evolution operator and the d.vnamics (d'model

systems; V. N. Popov and S. A. Fedotov, Diagram technique for spin 1/2ferromagnetic systems; V. S. Kapitonov and V. N. Popov, A functional

approach to the theory of Coulomb cr)'stals; V. I. Vozyakov and V. N. Popov,Afunctional approach to the theory q{quantum crystalli:ation,

1991 Mathematics Subject Class~fication:81, 82; 28ISBN 0-8218-3139-9, LC 91-24484, ISSN 0081-5438259 pages (softcover), 1991Individual member $95, List price $159, Institutional member $127To order, please specify STEKLO/184N

Current MathematicalProblems of Mechanicsand Their ApplicationsA. A. Barmin, EditorVolume 186

This volunle contains selected reportsdeli vered at the Jnternational conferenceon "Modern Inat helnatical probielns ofmechanics and their applications", whichtook place in Moscow in 1987 on the

occasion of the 80th birthday of Acadelnician L. I. Sedov. The papersare devoted to a wide range ofproblenls of Inodern Inechanics, includinggeneral relativity and gravitation, construction and investigation ofmodels of continuum mechanics, gas dynamics (\vith due regard tophysical and chemical processes), hydn)lnechanics, hydrodynalnicstability and turbulence, magnetohydrodynanllcs, electrodyn:.unics, andnonlinear problems of mechanics of deformable solid body, Containingoriginal results by well-known specialists, thi" book is of interest tospecialists in Inechanics and mathematics.

(continued)

ContentsL. I. Sedov, On acceleration o( gravitational fl)rCt' in A1inkoH'ski space:

P. (;ermain, Some recent contrihutions to mechanics (~( material continua;

C. Jacob [Iacob], On gas jets with a prescrihed compressihili!)' law; V. N.Shchelkachev, Spccial.!lJoture,\ (~{mathemati('al solutions q{problems connected

with the in\'estigation ql one-dimensional./lows in multidimensional spaces;

V. V. Struminskii. A new met/wd q{ soh'in,g the s.vstern <1' kinetic eL/lUItions .!l)f

gas mixtures; G. Yu. Stepanov, A10dels of an il1viscidfluid in the theory (~{

detachedflows: (;. G. Chernyi, The mechanism o{ anomalously IOH resistLlnce

to the motion oj' hodies in solid media; V. N. Sal'nikov [Saljnikovl andP. Gryglaszewski., The natural/low (~{a "power" Iwn-Newtonian fluid on a

vertical heated plate; 1\1. L. Lidov, EstimatioJi (~{thi' parameter,s' o{motiof7 under

the action of nonmodelahle accelerations; Yu. P. l.Jadikov-Roev, The existence

and motion <?j' magneto-vortex rings in the atmosphere; V. P. Korobeinikov,V. V. Markov, L. I. Sedov, and I. S. Men'sho\', On tlze nonhonw,geneity q{density./ields hehind a ,\hoc1. wave propagating through a dust-gas mixture:

G. A. Tirskii, IV10dds not of' /Vavier-Stokes type in prohlems ol super- and

Izypersonictlow ahollt hOllies hv a viscous gas; A. L. Gonor. .4nalytic solution (~t

a nonlinear prohlem olentry ora thin COIlC Into ajluid: S. S. Grigoryan, On the

stru('[ure and dvnamics oj'the llnil'erse; Yu. N. Belyaev and I. M. Yavorskaya,Prohlems oj'stahilitv and the heginf1lng (~{ chaos l!l closed hydrodynamic

.floH's: S. A. Regirer, Continuum models (~l the mOl ion (~{ a collection of living

organisrns; (). S. Ryzhov. Boundary value prohlems q{ the asymptotic theory

ol hydrodynamic stahiliry: A. G. Kulikovskii, Pecllliarities (~{the heha\'ior (~{

nonlinear quasitrans\'(!rse wares in an elastic medium H'ith a small anisotropy;

V. V. Gogosov, A. Va. Sinlono,,'skii, and G. A. Shaposhnikova, f(vdrodynamics

of l1lagneticfluids, Some models and exam!Jles q{ their applications: I. S.Shikin, l\;fagnetoh.vdrodynamics (~{ a magneti:ed plasma; A. A. Barmin andV. S. lJspenskii, Peculiarities (~l MHD j!OH'S connected H'ith the switching-qf{

rl the electrical conducti\'itv ol a mediwn: M. E. Eglit, The dynamics q{snow avalanches; A. B. Vatazhin, Electrohydrodynamic turbulent ,floH's;

N. (;. Vasetskaya, On the motion o{ a polymer ml )lecule in a .fluid ; A. (;.Terent'ev, Nonstationary l1lotion q{ hodies in afluuI : I. P. Semenova and A. E.Yakubenko, The ('l'olution o{ solitary perturhatiolls on the sw:face q{ a .film (~{

viscous.fluid running dOH'n a vertical wall; P. Yu. Georgievskii and V. A. Levin.Supersonic ,flow o\'cr a hod)' with a heat supply ahead q( it ; M. N. Esmail andV. V. Markov, Nwnerical simulation q{dynamic contact angles; N. L. Vasil'eva.G. L. Sedova, A. V. Filippov, and L. T. Chernyi. Electrohydrodynamic mode/.\

(~l charging Llerosol particles in the atmosphere; R. K. T. Hsieh, L>lIeers

in coupled elastic nzaterials and their induced mu/tipole characten:ations;

A. T. I1'ichev, On properties qf a nonlinear evolzaion equal/on (~ljUth order

descrihing ware proces.\'es in media with Heak dispersion; A. G. Tsypkin, On

the energy-momentum tensor (~l martel" in the speCial theory (~l relatn'it.v,

1991 Mathematics Suhject Classification: 35,,49,73,76, 78.82,83, 86,92,93ISBN 0-8218-3138-0. LC 91- 17128. ISSN 0081-5438267 pages (softcover), 1991Individual member $95, List price $159, Institutional Inember $127To order, please specify STEKLOll86N

Boundary Value Problemsof Mathematical Physics.XIVO. A. Ladyzhenskaya,EditorVolulne 188

This collection contains papers onthe theory of quasilinear elliptic andparabolic equations, perturhation theoryfor the Schrc)(linger operator with a

periodic potential, spectral properties of the ahstract '-lcattenng Inatrix.the properties of solutions of linear tinle-dependent problenls in solvingproblems of the dynatnics of a viscous fluid \vith free (unKnown)boundaries. the theory of dynarnical systenl~ and attractors generated


.... ,_ .. _ ....... _ ... _. ___ , __ , __ ._ .. _________ .. _ .. _ .. _________ , .. ________ _ New Publications Offered by the AMS

by initial-boundary value problems for the equations of motion of linear viscoelastic fluids, and the differential properties of solutions of variational problems of the mechanics of viscoplastic media.

Contents I. V. Denisova, A priori estimates of the solution of a linear time-dependent problem connected with the motion of a drop in a fluid medium; A. V. Ivanov, On the regularity of generalized solutions of quasilinear degenerate parabolic systems of second order; A. V. Ivanov and P. Z. Mkrtychyan, A weighted estimate of the gradient for generalized solutions of quasilinear degenerate parabolic equations; N. A. Karazeeva, A. A. ~ot·siolis [Cotsiolis], and A. P. Oskolkov, On dynamical systems generated by initial-boundary value problems for the equations of motion of linear viscoelastic fluids; Yu. E. Karpeshina, Perturbation theory for the Schrodinger operator with a periodic potential; G. A. Seregin, On differential properties of extremals of variational problems of the mechanics ofviscoplastic media; A. V. Sobolev and D. R. Yafaev, Spectral properties of the abstract scattering matrix; V. A. Solonnikov, On an initial-boundary value problem for the Stokes systems arising in the study of a problem with a free boundary.

1991 Mathematics Subject Classification: 35, 47, 76; 73 ISBN 0-8218-3141-0, LC 67-6187, ISSN 0081-5438 239 pages (softcover), 1991 Individual member $79, List price $132, Institutional member $106 To order, please specify STEKL0/188N

Contents

Theory of Functions S.M. Nikol'skiT, Editor Volume 190

The papers in this collection are devoted to the theory of orthogonal series, approximation theory, applications of function-theoretic methods to the study of differential equations, as well as other topical trends in analysis.

A. S. Belov, On the coefficients of cosine series with nonnegative partial sums; S. V. Bochkarev, Bases in function spaces and the Franklin system; A. P. Buslaev, Vectors with continuous sign and nonlinear spectral analysis of matrices; G. G. Gevorkyan, Some theorems on unconditional convergence and a majorant of Franklin series and their application to the spaces Re Hp; R. D. Getsadze, On divergence in measure of general multiple orthogonal Fourier series; M. I. D'yachenko, On some properties of multiple Fourier series and transforms; S. V. Konyagin, On divergence of a subsequence of the partial sums of multiple trigonometric Fourier series; V. G. Krotov, Estimates for maximal operators connected with boundary behavior, and their applications; V. Z. Meshkov, Weighted differential inequalities and their application for estimating the rate of decrease at infinity of solutions of second-order elliptic equations; Yu. V. Netrusov, Metric estimates of the capacities of sets in Besov spaces; K. L Oskolkov, Series and integrals of I. M. Vinogradov and their applications; A. A. Pekarskil, Best rational approximations in the complex domain; A. A. Talalyan, On uniqueness and integrability of multiple trigonametric series.

1991 Mathematics Subject Classification: 15, 26, 28, 30, 31, 35, 42, 46; 32, 41 ISBN 0-8218-3143-7, LC 92-6648, ISSN 0081-5438 265 pages (softcover), 1992 Individual member $117, List price $195, Institutional member $156 To order, please specify STEKL0/190N

Statistical Mechanics and the Theory of Dynamical Systems N. N. Bogolyubov, Jr., Editor Volume 191

This volume contains articles covering a wide range of current directions in modem statistical mechanics and dynamical systems theory. Scientists, researchers, and students working in

mathematical physics and statistical mechanics will find this book of great interest. Among the topics covered are: phase transition problems, including superconductivity and superfiuidity; methods of nonequilibrium statistical mechanics and fluctuation theory; quantum collective phenomena; superradiance; spin glasses; polaron problems; chains of Bogolyubov equations and kinetic equations; algebraic aspects of quantum-dynamical semigroups; the collective variables method; and qualitative properties of classical dynamical systems.

Contents N. N. Bogolyubov, On a new method in the theory of superconductivity; N. N. Bogolyubov, Jr., A. N. Kireev, A. M. Kurbatov, and D.P. Sankovich, Some problems in polaron theory; D. V. Anosov, How curves on the universal covering plane that cover nonselfintersecting curves on a closed swface can go to infinity; N. M. Bogolyubov and V. E. Korepin, The mechanism of Cooper pairing in the one-dimensional Hubbard model; V. N. Popov, Quantum crystallization of a nonideal Bose gas; Yu. A. Tserkovnikov, On the theory of a nonideal Bose gas; N. N. Bogolyubov, Jr. and A. S. Shumovskli, Collective quantum effects in the problem of interaction of electromagnetic radiation with a medium; V. P. Kovrov and A. M. Kurbatov, The concept of Bogolyubov quasimeans in the theory of disordered systems; V. A. Moskalenko and S. P. Kozhukar', An axial model for quadrupolar glasses; D. P. Sankovich, Infrared bounds in the theory of phase transitions; Ya. G. Sinal', On limit theorems for Weyl multiple trigonometric sums; A. S. Kholevo, Stochastic representations of quantum dynamical semigroups; D. N. Zubarev and V. G. Morozov, Nonequilibrium statistical ensembles in kinetic theory and hydrodynamics; Yu. L. Klimontovich, Dynamical and statistical methods in the theory of nonequilibrium processes; I. P. Pavlotskll, Bogolyubov chains and the Vlasov and Wigner kinetic equations in post-Galilean approximation; S. V. Peletminskil, Superfluidity in a model for a Fermi liquid; D. Ya. Petrina, The thermodynamic limit of solutions of the Bogolyubov equations; I. R. Yukhnovskil', The grand partition function in the method of collective variables and its application to the investigation of the liquid-gas phase transition.

1991 Mathematics Subject Classification: 11, 45, 46, 47, 57, 58, 81, 82; 42, 70 ISBN 0-8218-3144-5, LC 92-16440, ISSN 0081-5438 243 pages (softcover), September 1992 Individual member $117, List price $195, Institutional member $156 To order, please specify STEKL0/191N



L_ _________ v,_o_E_o_TA_P_E_s ________ ~l Ll ________ M_J_sc_E_L_L_A_N_Eo_u_s ________ ~ Physics and the Mysteries of Space Michael Atiyah

From the earliest times, the geometry of space has been intimately involved with physics. As science has evolved and our understanding has deepened, the relations between geometry and physics have become subtler and more complex. At the present time, fundamentally new ideas from both areas are dramatically

altering conceptions about the nature of the universe. In this videotaped presentation, Sir Michael Atiyah, one of the foremost mathematicians of this century, discusses some of the recent deep connections that have been discovered between mathematics and quantum physics. Starting with the viewpoints of Euclid and Newton, Atiyah moves on to current ideas growing out of Jones' work on knots in 3-space and Donaldson's work on 4-manifolds. In describing how Witten has brought these developments into contact with quantum field theory, Atiyah shows how quantum field theory is in itself an effort to understanding the structure of a vacuum. A witty, engaging, and clear-sighted lecturer, Atiyah makes this fascinating topic accessible to audiences with a general scientific background.

1991 Mathematics Subject Classification: 51, 53, 55, 57, 58, 81 ISBN 0-8218-8076-4 NTSC format on 1/2" VHS videotape; approx. 60 minutes, 1992 Individual member $29.95, List price $49.95, Institutional member $39.95 To order, please specify VIDE0/81N

On the Maximum Principle Louis Nirenberg

Roughly speaking, the maximum principle asserts that under certain conditions, a solution of a linear elliptic equation (or inequality) assumes its maximum on the boundary of its domain. For years this principle has proven to be an extremely useful and flexible tool in the study of nonlinear and linear equations. New and sufficient conditions

for the maximum principle, and new variations on it, are constantly being discovered. This videotape captures a lecture on the maximum principle by the celebrated analyst Louis Nirenberg. Nirenberg explains the method of moving planes and how the maximum principle provides a simplified approach to this method. He then uses this method to prove symmetry and monotonicity of solutions of certain boundary value problems. Exceptional in clarity of presentation, this lecture starts with the fundamentals and concludes with an intriguing and nontrivial problem that demonstrates the power of the maximum principle. This videotape is an excellent supplement for a course in analysis or differential equations and is accessible to undergraduate mathematics majors.

1991 Mathematics Subject Classification: 35, 49, 53 ISBN 0-8218-8077-2 NTSC format on 112" VHS videotape; approx. 60 minutes, 1992 Individual member $29.95, List price $49.95, Institutional member $39.95 To order, please specify VIDE0/82N

f992-f993

Assistantships and Graduate Fellowships in the Mathematical Sciences

AmsrlcanMalhemllficalSoclety

Assistantships and Graduate Fellowships in the Mathematical Sciences, 1992-1993

This publication is an indispensible source of information for students seeking support for graduate study in the mathematical sciences. Providing data from a broad range of academic institutions, it is also a valuable resource

for mathematical sciences departments and faculty. Assistantships and Graduate Fellowships brings together a

wealth of information about resources available for graduate study in mathematical sciences departments in the U.S. and Canada. Information on the number of faculty, graduate students, and degrees awarded (B.A.s, M.A.s, and Ph.D.s) is listed for each department when provided. Stipend amounts and the number of awards available are given, as well as information about foreign language requirements and the acceptability of critical, expository, or historical theses for the doctoral degree. Numerous display advertisements from mathematical sciences departments throughout the country provide additional information.

Also listed are sources of support for graduate study and travel, summer internships, and graduate study in the U.S. for foreign nationals. Finally, a list of reference publications for fellowship information makes Assistantships and Graduate Fellowships a centralized and comprehensive resource.

1991 Mathematics Subject Classification: 00 ISBN 0-8218-0180-5, ISSN 1040-7650 134 pages (softcover), October 1992 Individual member $10, List price $17, Institutional member $17 To order, please specify ASST/92N

Combined Membership List, 1992-1993

The Combined Membership List (CML) is a comprehensive directory of the membership of the AMS, the Mathematical Association of America, and the Society for Industrial and Applied Mathematics.

There are two lists of individual members. The first is a complete alphabetical list of all members in all

three organizations. For each member, the CML provides his or her address, title, department, institution, and telephone number (if available), electronic address (if indicated), and also indicates membership in the three participating societies. The second is a list of individual members according to their geographic locations. In addition, the CML lists academic, institutional, and corporate members of the three participating societies providing addresses and telephone numbers of mathematical sciences departments.

The CML is distributed on request to AMS members in evennumbered years. MAA members can request the CML in odd-numbered years from the MAA. The CML is an invaluable reference for keeping in touch with colleagues and for making connections in the mathematical sciences community in the United States and abroad.

(continued)



1991 Mathematics Subject Classification: 00 ISBN 0-8218-0178-3

and computer science, as well as to librarians and others needing access to this kind of bibliographic information.

608 pages (softcover), October 1992 Contents Individual member $30, List price $50, Institutional member $40

To order, please specify CMU92/93N Introduction; Computer science technical reports; Institution codes and names; Author index.

Computer Science Technical Reports: Selected Holdings at Stanford University

Technical reports have functioned as the preprint literature for the field of computer science. Over the past thirty years, Stanford University has collected these reports on a regular basis from approximately 100 computer science

1991 Mathematics Subject Classification: OOA15, 68-00 ISBN 0-8218-0009-4, LC 92-27736 1160 pages (softcover), October 1992 List price $198 To order, please specify CSTRPf/N

ERRATA

departments and research groups worldwide. This publication is a listing of 36,364 reports in the Stanford collection. The reports are listed in order by institution name and, within the institution listings, by report number. In addition, there is a list of institution names and codes and an· author index. This publication is useful to researchers in mathematics

George W. Mackey is the author of The Scope and History of Commutative and Noncommutative Harmonic Analysis. This title has an ISBN of 0-8218-9903-1. These facts were incorrectly reported in the July/ August Notices.

958

Advances in Soviet Mathematics

Properties of Global Attractors of Partial Differential Equations A. V. Babin and M. I. Vishik, Editors Volume 10

The four papers in this volume examine attractors of partial differential equations, with a focus on investigation of elements of attractors. Considered here is the dependence of attractors on singular perturbations of the equations. The theory of unbounded attractors of equations without bounded attracting sets is also covered. All of the articles are systematic and detailed, furnishing an excellent review of new approaches and techniques developed by the Moscow school.

1991 Mathematics Subject Classification: 35, 58, 76 ISBN 0-8218-4109-2, 172 pages (hardcover), July 1992 Individual member $64, List price $106, Institutional member $85 Your ordering code is ADVSOV/10NA

American Mathematical Society. All prices subjectto change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepayment required. Order from: American Mathematical Society, P.O. Box 1571, Annex Station, Providence, RI 02901-1571, or call toll free 800-32l-4AMS in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada, please include 7% GST.


Miscellaneous

Personals Mohan Ramachandran, of Purdue University, has accepted a position as Assistant Professor of Mathematics at SUNY at Buffalo.

Deaths Volker H. Baumann, of Ruhr University, died on June 16, 1992, at the age of 63. He was a member of the Society for 32 years.

George Y. Cherlin, of Mt. Shasta, California, died on August 5, 1992, at the age of 68. He was a member of the

Society for 17 years. Teresa Cohen, Professor Emeritus

of Pennsylvania State University, died on August 10, 1992, at the age of 100. She was a member of the Society for 73 years.

Daniel Gorenstein, of Rutgers University, died on August 26, 1992, at the age of 69. He was a member of the Society for 48 years. (A more extensive article is being prepared for a future issue of the Notices.)

E. C. Klipple, Professor Emeritus of Texas A&M University, died on June

13, 1992, at the age of 85. He was a member of the Society for 59 years.

Stylianus Pichorides, of the University of Crete, died on June 18, 1992, at the age of 51. He was a member of the Society for 12 years.

Isador M. Sheffer, ofWarmMineral Springs, Florida, died on July 20, 1992, at the age of 90. He was a member of the Society for 65 years.

Robert L. Sternberg, of Noank, Connecticut, died on October 17, 1991, at the age of 69. He was a member of the Society for 41 years.

Memorial Gifts and Commemorative Gifts to the American Mathematical Society You have an opportunity to honor the memory of a colleague, friend

or family member with a memorial gift in support of the Society's work to promote mathematical scholarship and research.

addition, an acknowledgment will be sent to you upon receipt of the gift, and your name will be listed in the Notices annual listing of Contributions.

If you would like to make a donation, please complete the attached form and return it to the address below. The Society will acknowledge your gift by sending notification to the person you designate. In

Memorial gifts to the Society, or gifts in honor of sp.ecial occasions, are a distinctive way to remember a colleague, friend or family member while supporting the work of the American Mathematical Society.

Enclosed is my (our) memorial gift of$. _______ to the American Mathematical Society.

Please print

Donor'sname __________________ Streetaddress. __________________ _

City/Stare/~P----------------------------------------0 In Memory of _________________ 0 In Honor of _________________ _

Please indicate whom the AMS should notify: Name ____________________ Streetaddress. __________________ _

City/State/~P----------------------------------------

Please make checks payable to the American Mathematical Society and send them to the following address: American Mathematical Society • P. 0. Box 1571 • Annex Station • Providence, RI 02901-1571

For further irifonnation contact the AMS Development Office at 401-455-4114

To use VISA or MasterCard*, send to: American Mathematical Society • P. 0. Box 6248 • Providence, RI 02940-6248

OVISA 0 MasterCard Card number:--------------- Expiration date: _______ _ Signarure: __________________________________________ _

* Please note: A minimum gift of $20.00 is requested on Visa or MasterCard.

0 Please check if you do not wish this information to be printed in the Notices annual listing of contributions.


Visiting Mathematicians (Supplementary List)

The list of visiting mathematicians includes both foreign mathematicians visiting in the United States and Canada, and Americans visiting abroad. Note that there are two separate lists.

Name and Home Country

Assmus, E. F., Jr. (U.S.A.) Rauch, Jeffrey B. (U.S.A.)

Abramovici, F. (Israel) Adachi, Toshiaki (Japan) Beauzamy, Bernard (France) Billig, Yuly (Russia) Bogomolov, F. (Russia) Chen, Shaozhu (China) Diederich, Klas (Germany) Dokuchaev, Michael A.

(Ukraine)

Elsner, L. (Germany) Gonclaves, Jairo (Brazil) Gyoja, Akihiko (Japan) Hochberg, Kenneth (Israel) Hosakawa, Hiroshi (Japan) Ivanov, A. A. (Russia) Ivanov, Kamen (Bulgaria)

Katsuda, Atsushi (Japan) Kim, Roil (Korea) Kimura, N. (Japan) Kimura, Tatsuo (Japan) Lan, Yi-zhong (China) Liao, Xiaosin (China)

Lin, Huaxin (China) Liu, Z. (China) Makroglou, Athena (Greece)

Montesinos, Vincente (Spain) Muller, Daniel (Portugal) Pang, Michael (Hong Kong) Pawell, Angela (Germany) Picardello, M. (Italy) Platonov, V. P. (Russia) Pourabdollah, M. A. (Iran)

960

American Mathematicians Visiting Abroad Host Institution

INRIA, France Ecole Normale Superieure, France

Field of Special Interest

Discrete Mathematics Partial Differential Equations

Visiting Foreign Mathematicians University of Calgary Johns Hopkins University Kent State University University of Alberta University of Maryland University of Alberta University of Michigan University of Alberta

University of Calgary University of Alberta Johns Hopkins University Cornell University Johns Hopkins University University of Michigan University of Alberta

Johns Hopkins University University of California, Riverside University of Maryland Johns Hopkins University University of Maryland University of Alberta

SUNY at Buffalo Kent State University Oregon State University

Kent State University Temple University University of California, Riverside Oregon State University University of Maryland University of Michigan University of Alberta

Geophysics Spectral Geometry Analysis Lie Theory Algebraic Geometry Differential Equations Several Complex Variables Algebra

Numerical Analysis Algebra Prehomogeneous Vector Spaces Probability and Stochastic Processes Prehomogeneous Vector Spaces Algebra Approximation Theory/Numerical

Problems Spectral Geometry Algebraic Geometry Algebraic Number Theory Prehomogeneous Vector Spaces Algebraic Number Theory Differential Equations

Analysis Computer Algebra Differential Equations and Applied

Mathematics Analysis Time Series Analysis Analysis Freeboundary Value Problems Representation Theory Algebra Harmonic Analysis


Period of Visit

9/92- 11192 9/92- 5/93

7/92- 6/93 2/93- 4/93 8/92- 10/92 4/92- 6/93 8/92- 1/93 9/92- 1/93 1193- 4/93 9/92- 4/93

8/92- 12/92 9/92- 4/93 1193- 4/93 8/92 - 12/92

12/92- 3/93 9/92- 5/93 9/92- 12/92

1/93- 3/93 7/92- 6/93 8/92- 6/93 2/93- 4/93 8/92- 6/93 1/93- 4/93 6/93- 8/93 9/92- 6/93 6/92- 12/92 9/92- 6/93

9/92- 8/93 10/92- 4/93 7/92- 6/93 8/92- 6/93 8/92- 1193 1/93- 4/93 8/92- 9/93

Visiting Mathematicians

Name and Home Country

Premet, Aleksander (Russia)

Rapinchuk, Andrei (Russia)

Ryan, Raymond (Ireland)

Sato, Fumihiro (Japan)

Shekhtman, Boris (Russia)

Sunada, Toshikazu (Japan)

Yano, Tamaki (Japan)

Zafarani, Jafar (Iran)

Host Institution

University of California, Riverside

University of Michigan

Kent State University

Johns Hopkins University

University of California, Riverside



Kent State University

Field of Special Interest

Algebra: Lie Theory

Representation Theory

Analysis

Prehomogeneous Vector Spaces

Functional Analysis

Spectral Geometry

Prehomogeneous Vector Spaces

Functional Analysis

Period of Visit

7/92- 6/93 9/92- 5/93 7/92- 8/93 2/93- 4/93 7/92- 6/93 3/93- 5/93 9/92- 3/93 9/92- 8/93

American Mathematical Society

TRANSLATIONS Series 2 • Volumes 148 & 150

Algebra and Analysis A. D. Aleksandrov, 0. V. Belegradek, I. A. Bokut', and Yu. L. Ershov, Editors

This collection consists of lectures delivered at the First Siberian Winter School, "Algebra and Analysis," held in March 1987 at a retreat near Kemerovo. The school was organized by Kemerovo State University and the Institute of Mathematics of the Siberian Branch of the Academy of Sciences of the USSR. The conference drew more than 100 participants from Novosibirsk, Kemerovo, Omsk, Moscow, St. Petersburg, and other cities. The papers concern current research on the interface of algebra and analysis.

1991 Mathematics Subject Classification: 05, 14, 15, 16, 17, 22, 28, 34, 51, 53, ISBN 0-8218-3700-1, 112 pages (hardcover), February 1991, Indiv. mem. $40, List $66, Inst. mem. $53 Your ordering code is TRANS2/148NA

Spectral Theory of Operators S. G. Gindikin, Editor

This volume focuses on the spectral theory of differential operators. The emphasis is on

estimates of the number of negative eigenvalues of elliptic differential operators and on the analysis of asymptotical distribution of eigenvalues. This collection provides an excellent overview of problems in the field, for Gindikin ranks among the leading Soviet specialists in this area of research.

1991 Mathematics Subject Classification: 34, 47; 58, ISBN 0-8218-7500-0, 176 pages (hardcover), March 1992 lndiv. mem. $67, List $112, Inst. mem. $90 Your ordering code is TRANS2/150NA

All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepayment required. Order from: American Mathematical Society, P.O. Box 1571, Annex Station, Providence, RI 02901-1571, or call toll free 800-321-4AMS in the continental U.S. and Canada to charge with VISA or MasterCard. Canada residents, please include 7% GST.


New Members of the AMS

ORDINARY MEMBERS Frank A Adrian, Portland, OR lmdad Ahmed, London, England Shin Ichi Aihara, Science Univ of

Tokyo, Japan Ma de la Paz Alvarez-Scherer,

Mexico Mehdi Eghbali Amlashi, Ferdowsi

Univ of Mashhad, Iran Ali R Ansari, Limerick, Republic of

Ireland Matthew J Appel, Lexington, VA Mansour A Asiry, Abha, Saudi

Arabia S A Avdonin, Saint Petersburg State

Univ, Rep of Russia Ansuman Bagchi, Worcester

Polytechnic Institute, MA Helen Mary Barnett, Glenwood, MD Luis M Barreira, Institute Superior

Technology, Lisbon, Portugal Robert John Betts, Boston, MA Bazarcan Nuroldinovich Biyarov,

Kazakh State Univ, Alma Ata, Rep of Kazakhstan

Benny S Budiman, Blacksburg, VA Paolo Caldiroli, SISSA, Trieste,

Italy Mark A Caprio, Oglethorpe Univ,

Atlanta, GA Lisa Josephine Carbone, Columbia

Univ, New York Mauro Carfora, Univ of Pavia, Italy Carol A Carpenter, Miami, FL Guang-jun Chen, Qufu Normal Univ,

Shandong, People's Republic of China

Qing Ming Cheng, Northeast Univ of Technology, Shenyang, People's Republic of China

Kwon Cho, Pohang Institute of Science & Technology, Korea

Marguerite E Choy, Silver Spring, MD

Chris Cole, Newport Beach, CA Thomas W Golthurst, San Diego, CA Catherine M Comiskey, Dublin City

Univ, Republic of Ireland Denis R Dancanet, Pittsburgh, PA George Daneluk, Piscataway, NJ Gholarnreza Danesh-Naroie,

Southampton, England Mehdi-Reza Darvishzadeh, Univ of

Tehran, Iran Ruchira S Datta, Concord, CA

Anthony K Dean, Elgen, IL Dewayne R Derryberry, Tempe, AZ Elwood Gene Edwards, New York,

NY Sigurd Elkjaer, Frederikserg,

Denmark Joseph H Engel, Bethesda, MD Juan R Esteban, Univ Autonoma de

Madrid, Spain Mark D Fairbrother, New Brighton,

MN Johnny L Fan, Livingston, NJ Bei Ye Feng, Academia Sinica,

Beijing, People's Republic of China

Kelly F Finn, Cedar Rapids, IA Mikael Dan Forsberg, Stockholm,

Sweden Jurgen Helmut Friedrich, Delitzsch,

Germany Marina B Frost, Vancouver, WA Terence J Gaffney, Northeastern

Univ, Boston, MA I A Galiullin, Moscow Aviation

Institute, Rep of Russia Oscar J Garay, Univ of Granada,

Spain Pedro J Geraldo Cabrera, Cabimas,

Venezuela Jacqueline R Grace, State Univ of

New York, New Paltz Robert Grino Cubero, Barcelona,

Spain Jan R F Th Groesbeek, VSP B V,

Zeist, Netherlands Cheryl Phyllis Grood, Ann Arbor,

MI Hendra Gunawan, Jurusan

Matematika ITB, Bandung, Indonesia

Jens Gustedt, Technical Univ of Berlin, Germany

Noboru Hamada, Osaka Women's Univ, Japan

Robert Mark Hamer, Princeton, NJ Phillip E Hanna, Poughkeepsie, NY Richard S Harness, Univ of Bahrain,

Isa Town Mary Ellen Hedges, Kenmore, NY Robert P Hedges, Kenmore, NY D John Hill Jr, Wyomissing, PA Gary Stephen Hlebinsky, Orange

Park, FL Christine B Hoag, PWS-Kent

Publishing, Boston, MA

Earl W Hobbs, Ferguson, MO Thomas Hoffrnann-Ostenhof, Univ of

Vienna, Austria Peter Augustine Hogan, Univ

College of Dublin, Republic of Ireland

Max-Olivier Hongler, Ecole Polytechnic Federale, Lausanne, Switzerland

Craciun Iancu, Univ of Cluj-Napoca, Romania

Deborah A Jackson, Poultney, VT Keith James, Brooklyn, NY Laura Kay Jelinek, Oshkosh, WI Ja A Jeong, Seoul National Univ,

Korea Alan J Karasin, White Plains, NY Elias G Katsoulis, Univ of Alabama,

Tuscaloosa Hubert Kiechle, Univ of Arizona,

Thcson Serpil Kocabiyik, Univ of Western

Ontario, London, Canada Menachem Kojman, Hebrew Univ of

Jerusalem, Israel Vanessa T Kosmala, Boone, NC Andras Kramli, Institute of Computer

& Automation, Budapest, Hungary

Eric Irwin Kuritzky, Hyattsville, MD Arpad Kurusa, Bolyai Institute,

Szeged, Hungary Jack Yu Lee, Brooklyn, NY Lev Lerman, Nizhny Novgorod, Rep

of Russia Mark Alun Lewis, Univ of

Washington, Seattle Yiwei Li, Greenbelt, MD Kun Hui Liu, Northern Jiaotong

Univ, Beijing, People's Republic of China

Julie H Lutz, Washington State Univ, Pullman

Costas T Lymberis, Rumson, NJ JoDee Lynn Lymbumer, Brooklyn,

NY Wanda Lee Mammel, Holmdel, NJ Oleg I Marichev, Chaillpaign, IL Jonathan Christopher Mattingly,

Charlotte, NC Michael A McAnulty, Worthington,

MA Charles C McCauley, NeuroSym

Corporation, Houston, TX


Jill F McGowan, Howard Univ, Washington, DC

William D McQuain, Blacksburg, VA

Keith Charles Miller, Baltimore, MD Kurt Mislow, Princeton Univ, NJ Derek Stanford Nalls, Austin, TX Thomas W Nielsen Jr, Denver, CO Roger M Nisbet, Univ of California

Santa Barabara Ion Nistor, Polytechnic Institute of

Iasi, Romania Alaxander Nofech, Purdue Univ,

West Lafayette, IN Graham Hilton Norton, Univ of

Bristol, England Jun O'Hara, Max Planck Institute for

Mathematics, Bonn, Germany Edward P Osipov, Institute of

Mathematics, Novosibirsk, Rep of Russia

Christina M Osvoldik, Burlington Flats, NY

Jose Antonio Oubina, Univ of Santiago, Spain

Stanislav Z P8kuliak, Institute for Theoretical Physics, Kiev, Rep of Ukraine

Francisco Palacios-Chaves, Malaga, Spain

Nikos G Pantelelis, Athens, Greece Russell W Parker, Univ of Texas at

El Paso Bryan J Petty, Pittsburgh, PA David Thomas Piccirilli, Needham,

MA Ratnam Pirapakaran, Wiley College,

Marshall, TX Andrew John Plater, Boston Univ,

MA Victor Joseph Pollara, Praha,

Czechoslovakia Roman A Polyak, ffiM, Yorktown

Heights, NY Joannis A Polyrakis, National

Technical Univ, Athens, Greece Constantin Petre Popa, Univ of

Bucharest, Romania James C Powers, Pembroke Pines,

FL Norman J Preston, Parma, OH Marko Razpet, Ljubljana, Slovenia Krzysztof Reczek, Univ of Mining &

Metallurgy, Krawkow, Poland

Edel Reiso, Norsk Hydro A S, Bergen, Norway

Kathleen A Roach, John Wiley & Son's Incorporated, NY

Michael A Roche, Utica, NY Eugene Dmitrievich Rodionov, Altai

State Univ, Barnaul, Rep of Russia

Michael P Rolfes, Cincinnati, OH Errol G Rowe, Silver Spring, MD Alexander Saldarriaga, Miami, FL S Halleck Scheick, Nashville, TN Gary A Schoenagel, Wildwood, FL Nicolai N Shopolov, Sofia, Bulgaria Mikhail Alexandrovich Shubin,

Northeastern Univ, Boston, MA George M Shuttic, Vienna, VA Aleksandr A Solovev, Chelyabinsk,

Rep of Russia Vladimir Soloviev, Institute for High

Energy Physics, Moscow, Rep of Russia

William Lawrence Spain, Texas A&M Univ, College Station

Samuel William Spero, Cleveland Heights, OH

Zvezdelina Entcheva Stankova, Univ of Minnesota-Duluth

Raymond C Stofer, Glide, OR Ants Tauts, Tallinn, Rep of Estonia Kirk J Thieroff, Fairless Hills, PA M I Tulyaganova, Tashkent, Rep of

Uzbekistan Martha A Turner, New Orleans, LA Scott Alan Twaro, Brunswick, OH Athanssios Tzouvaras, Aristotle Univ

of Thessaloniki, Greece Luis Valero, Madrid, Spain Sunita Vatuk, Oakland, CA Francisco Jose Vazquez Polo, Las

Palmas, Spain Sudha Veeraraghavan, San Antonio,

TX Bogdan Vernescu, Worcester

Polytechnic Institute, MA Juan M Viano Rey, Univ de Santiago

de Compostela, Spain Sebastiana Vigna, Milan, Italy Daniel L Weese, Monument, CO Jean S Werner, Mansfield Univ of

Pennsylvania Richard Douglas West, West Point,

NY Luther Marshall Wilkes, McRae, GA John Wirth Jr, Albuquerque, NM Andrew Neal Woods, Mississippi

State, MI Chi Shing Yeung, Tsuen Wan, Hong

Kong Stan Taira Yoshinobu, Glendale, CA Ellen Talitha Young, Woodward, OK Michael E Zeidler, Milwaukee, WI Sarah N Ziesler, Univ of Wisconsin,

Madison Katherine J Zoka, Kingston, PA

RECIPROCITY MEMBERS Australian Mathematical Society

George Alver Willis

Berliner Mathematische Gesellschaft e. V. Michael Boehm

New Members of the AMS

Dansk Matematisk Forening Tom Hoholdt Amo B J Kuylaars

Deutsche Mathematiker-Vereinigung e. V. Gerd Heinlein Ruth Kellerhals Adalbert Kerber Otto Kerner Ulrich Kohlenbach Burkhard Kulsharnmer

Israel Mathematical Union Jonathan S B Aaronson

Korean Mathematical Society Geun Bin Im Dae-Kyung Kim Jong In Lim Jong An Park Suk Im Yoon

London Mathematical Society Yousef Saleh Alshaniafi David Anthony Donaghy Huseyin Gakalli Dina Ghinelli-Smit Philip John Maher Roy Nelson John Roger Shackell Gerald Peter Shannon Richard M Thomas

Malaysian Mathematical Society Amer Nordin Darus

Mathematical Society of Japan Hideto Asashiba Masarni Ito Akio Kawauchi Hiroshi Matsuyarna Yasumasa Nishiura Shigeru Sakaguchi Masahiro Yamamoto

Mathematical Society of the Republic of China C-S Chien

Societe Mathematique Suisse Jacques Edouard Boillat Bernard Dacorogna Erich Gradel Stephan Morgenthaler Tommy Norberg Constantin P Piron

Societe Mathematique de Belgique Marc Coppens

Societe Mat/zematique de France Charles Degnenon Yves Derriennic Patrick Foulon Jean-Pierre Loheac Ali Suleyman Ustunel

Societe de Mathematiques Appliquees et Industrielles Michel C Pierre

Sociedad Matematica Mexicana Uranda Valentina Carnda Fernando Ongay-Larios

Michael V Shapiro

Sociedad de Matematica de Chile Alejandro 0 Figneroa

Sociedade Brasileira de Matematica Aplicada e Computacional Jocelyn Freitas Bennaton

Sociedade Brasileira de Matematica Neptali Romero

Societat Catalana de Matemiitiques Enric Colet Fossas Joan-Caries Lario Joaquim Navarro Sandalinas Artur Nos Nicolau Jordi Saludes Pelegri Viader

Suomen Matemaattinen Yhdistys Matti Jutila Markku Niemenmaa Esa Antero Tuunala

Svenska Matematikersamfundet Hakan Hedenmalm Kurt Johansson Timo Jaakko Koski Henrik Shahgholian Sven Leif Svensson

Unione Matematica Italiana Giovanni Andreatta Gabriele Bianchi M Boratynski Umberto Mosco Luciano Pandolfi Giuseppe Paxia Gian Pietro Pirola Fabio Tardella

Wiskundig Genootschap Eduardo Wismeijer

NOMINEE MEMBERS California State University

Sacramento Lonnie Larson

Caltech David Joseph Hill

City College (CUNY) George Jacob

Claremont Graduate School Cynthia Ann Bea Mark Linn Greenwood

College of Staten Island, CUNY Nixon Etienne

Eastern Illinois University Venkata Guru Guhan

George Mason University Majid Esmaeilian

Indiana University, Northwest Matthew Dean Dunscombe Denise Eileen Eckholm Diana Susan Lecea Patrice Lynn Norenberg

Iowa State University Pamela J Reich


Marshall University Chung Long Chen

Michigan State University Whitney Pamela Johnson

New York University, Courant Inst Peter J Krey Jr

Rocliford College Steven William Siekierski

SUNY, College at Brockport Charles Xiaoping Zhang

Stetson University William J Adams

Union College Susan L Smith

University of California, Los Angeles Seung Wan Han

University of Illinois at Urbana-Champaign Vivek Chawla

University of Kentucky Ramprasad Balasubramanian

University of Laval Daniel Le Roux

University of Massachusetts, Dartmouth Jorge Vicencio

University of Miami Eric Jose Avila-Vales Leticia M Oropesa Anne E Sanders

University of Montreal Amar Baouche

University of Notre Dame Birgit Galemann

University of Puerto Rico, Rio Piedras Ana Judith Cavero de Avalos Adrian Diaz Maria de Lourdes Zayas Torres

University of Washington Sunghoi Ku

University of Windsor Jianlin Guo Jeffrey J Hooper Dongsheng Liu Wieslawa Teresa Obuchowska Yu Qin

Western Carolina University Ronda S Pollack

Western Kentucky University Kristy Lynn Belt Cindy Wilson Dougherty Dulce Gae Goodman

York University Xiaomin Dong Chaoyang Guo Jiarning Sun Artur Hideyuki Tomita Zhiyu Wu Jinyuan Zhou

963

Stipends for Study and Travel

• Information from the October 1991 issue not yet confirmed. The dates have been updated for the coming year.

Graduate Support American Association for the Advancement of Science. Summer Fellowship. Provides support for twenty-five outstanding students in the natural and social sciences and engineering as intern reporters, researchers, and production assistants in the mass media for 10 weeks during the summer with a $400/week stipend. (Exceptional undergraduate or postdoctoral students will also be considered.) Fellows will work for radio and television stations, newspapers and magazines and will have their travel expenses and stipends paid by the AAAS. Fellows will have the opportunity to: observe and participate in the process by which events and ideas become news; improve their communication skills by teaming to describe complex technical subjects in a manner understandable by the public; and increase their understanding of editorial decision-making and the manner in which information is effectively disseminated. Each fellow will: attend an orientation and evaluation session in Washington, DC; begin the internship in mid-June; and submit an interim and final report to AAAS to help evaluate the program. Interested students should write for more information and application procedures to: Manager, Mass Media Science and Engineering Fellows Program, American Association for the Advancement of Science, 1333 H Street, N.W., Washington, DC 20005. Application deadline will be about January 15, 1993.

American Association of University Women (AAUW) Educational Foundation. American Fellowships. Postdoctoral and dissertation fellowships for women who are citizens or permanent residents of the U.S. Applicants for the postdoctoral fellowships must hold a doctoral degree by the application deadline, November 16. The Founders Fellowship provides $25,000 for a senior scholar in any field; other fellowships provide $20,000-$24,500, and some have disciplinary restrictions. The dissertation fellowships provide stipends of $13,500, for the final year of writing the dissertation. An applicant must have completed all coursework, passed all

examinations, and have had the dissertation proposal or plan approved by the application deadline. For more information, contact: AAUW Educational Foundation, American Fellowships, 1111 16th Street, NW, Washington, DC 20036; telephone: 202-728-7603.

American Association of University Women (AAUW) Educational Foundation. Career Development Grants. These grants are intended to support women who are continuing their self-development through higher education. Funding is provided to women who are preparing themselves to re-enter the work force, change careers, or advance a current career. Special consideration is given to AAUW members who submit qualified applications. Preference is given to applicants pursuing non-traditional coursework. These grants are onetime only awards. Minority women are encouraged to apply. Candidate eligibility: These grants are open to women who: are U.S. citizens or permanent residents; hold a baccalaureate degree; have received last degree five or more years ago; plan to pursue coursework at a fully accredited two or four year college or university, or at a technical school that is licensed, accredited, or approved by the Federal Veterans Administration; and, enroll in courses that are pre-requisites for professional employment plans. Funds are provided for tuition, fees, books, transportation (to/from/at school), and dependent care. Funds are not available for the final year of terminal degree professional programs (i.e., MBA, JD, MD, etc.). Ph.D. candidates may apply only for funding for coursework; not for dissertation research or writing. Candidates who fulfill eligibility requirements of other fellowship programs offered by the AAUW Educational Foundation will not be considered for funding from this grant and therefore, must apply to the appropriate program. Deadline: January 2. Award Range: $1,000- $5,000. AAUW Educational Foundation, Ca-. reer Development Grants, 1111 16th Street, NW, Washington, DC 20036; telephone: 202-728-7603.

American Association of University Women (AAUW) Educational Foundation. Eleanor Roosevelt Fund Teacher Fellowship. Created as the first programmatic component of the Eleanor Roosevelt Fund for Women and Girls, the purpose is two-fold. First, it recognizes and rewards good teachers and second, it enables teachers to improve their


Stipends

ability to teach girls. Candidate eligibilty: This program is open to full-time female classroom teachers who: are U.S. citizens or permanent residents; teach at U.S. public schools in grades K-12; teach math and/or science or interdisciplinary approach to subjects; have at least 5 consecutive years full-time teaching experience; plan to continue teaching for the next five years; and can demonstrate commitment to educational opportunities for women and girls through work in the classroom, the school district and the community. Award range: $1,000-$10,000. The amount of the award depends on the period of study undertaken. Teachers are not required to have sabbaticals from the school district. Coursework and/or research can be conducted during the summer or part-time. AAUW Educational Foundation, ERF Teacher Fellowships, 1111 16th Street, NW, Washington, DC 20036; telephone: 202-728-7603.

American Association of University Women (AAUW) Educational Foundation. Selected Professions Fellowships. These are awarded to women who are citizens or permanent residents of the U.S. in designated fields. The fields of law, medicine and the MBA program are open to minority women only. Fellowships for master's degree candidates, including those enrolled in one-year programs, are available for the final year of study in computer/information science, mathematics/statistics, architecture, and engineering (includes, for engineering only, the final year of Ph.D.). The fellowships, which range from $5,000 to $9,500, are for full-time study. The deadline is December 15, for all fields of study except MBA (February 1) and Engineering Dissertation (November 15). For more information, contact: AAUW Educational Foundation, Selected Profession Fellowships, 1111 16th Street, NW, Washington, DC 20036; telephone: 202-728-7603.

American Society for Engineering Education. ONR Graduate Fellowship Program. About 50 36-month fellowships will be granted by the Office of Naval Research to support study and research leading to a doctoral degree in one of the following fields: electrical engineering, computer science, naval architecture and ocean engineering, materials science, applied physics, aerospace/mechanical engineering, oceanography, mathematics, biological/biomedical sciences, cognitive/neural sciences, and chemistry. Applicants must be citizens of the U.S. (of any age) who have not attended graduate school since receiving their baccalaureate degree. The fellowships, tenable at U.S. institutions offering doctoral degrees in the designated science and engineering disciplines, offer a stipend of $15,000 per 12-month year. In addition, ONR will provide the affiliated institution, on behalf of each Fellow, full tuition and fees, and will provide $2,000 per year to the Fellow's department. The application deadline is January 15, 1993. Application materials are available from the American Society for Engineering Education (ASEE), Eleven Dupont Circle, Suite 200, Washington, DC 20036; 202-986-8516 or 202-986-8525.

American Statistical Association (ASA). See listing in the Postdoctoral Support section for information.

Associated Western Universities (AWU). A WU is a contractor for the U.S. Department of Energy, providing fellowships for faculty members and students who desire to become involved in energy-related research at one of the cooperating DOE laboratories or centers in the western U.S. For information telephone or write to Associated Western Universities, Inc., 4190 South Highland Drive, Suite 211, Salt Lake City, Utah 84124; 801-278-0799.

Bunting-Cobb Graduate Residential Fellowships for Women. Women graduate students enrolled in math, science, or engineering programs at Rutgers University's Graduate School on its New Brunswick campus have a special opportunity. Douglass College, the largest women's college in the nation, offers the Bunting-Cobb Graduate Residential Fellowship program. The Fellowship includes stipends of $2,000 or $4,000 as well as room and board for the academic year in the Bunting-Cobb Math, Science, and Engineering Hall. Bunting-Cobb Fellows serve as mentors to the undergraduates in the residence hall. The hall is equipped with a microcomputer room and a resource library. For information about the Bunting-Cobb Fellowship, please contact Dr. Ellen F. Mappen, Director, Douglass Project for Rutgers Women in Math, Science, and Engineering at 908-932-9197. For information about graduate study at Rutgers, please contact Ms. Beverly Tarter at 908-932-7711.

California State Graduate Fellowships. The state offers fellowships of up to $6,490 to cover tuition and fees only, for residents of California who attend accredited graduate or professional schools located in California with the intent to become college or university faculty members. Write to California Student Aid Commission, Graduate Fellowship Program, P.O. Box 510621, Sacramento, California 94245-0621. The application deadline for 1993-1994 awards is March 2, 1993.

Center for Naval Analyses (CNA). Summer Employment. CNA is engaged in a broad spectrum of operations research and systems analysis studies for the U.S. Navy, Marine Corps, and other government agencies. Opportunities are available for graduate students in operations research, economics, engineering, mathematics, physics, and statistics. Assignments include analysis related to force level planning, manpower, logistics, and operational effectiveness. U.S. citizenship required. Submit resume to Mr. Paul M. Moke, Employment Manager, Center for Naval Analyses, 4401 Ford Avenue, Alexandria, Virginia 22302-0268.

Committee on Institutional Cooperation. C/C Predoctoral Fellowships in the Sciences, Mathematics and Engineering. Fellowships are offered to African Americans, American Indians, Mexican Americans and Puerto Ricans for gradu-


Stipends

ate study leading to the Ph.D. The fellowships provide full tuition plus an annual stipend of at least $9,500 for each of five years. They may be used at any of these thirteen CIC universities: University of Chicago, University oflllinois at Urbana-Champaign, University of illinois-Chicago, Indiana University, University of Iowa, University of Michigan, Michigan State University, University of Minnesota, Northwestern University, Ohio State University, Purdue University, University of Wisconsin-Madison, University of WisconsinMilwaukee, or Pennsylvania State University. The deadline for applications for the 1993-1994 academic year is January 5, 1993. Detailed information about the program can be obtained by writing to the CIC Predoctoral Fellowships Program, Kirkwood Hall-111, Indiana University, Bloomington, Indiana 47405 or by calling toll-free 1-800-457-4420.

Fellowships in Mathematics and Molecular Biology. The Program in Mathematics and Biology has graduate and postdoctoral fellowship support available, but requires that there be both a mathematical and a biological component in the proposal. Current topics in the Program include geometry and topology of nucleic acids, sequence analysis of DNA, molecular dynamics, and mapping functions and algorithms for DNA, and protein structure prediction. Other areas with both a mathematical and biological component will be considered. Fellowships can be held at any University or College in the United States. Application deadline is March 1, 1993. Women and minorities are encouraged to apply. Funding can begin between August 1, 1993 and January 1, 1994. For information and application materials contact: Program in Mathematics and Molecular Biology, 103 Donner Laboratory, University of California, Berkeley, CA 94720; email [email protected]; FAX: 510-642-4071.

• Fellowships in Residence at the Smithsonian Institution. See listing in the Postdoctoral Support section for more information.

Florida Endowment Fund. TheM cKnight Doctoral Fellowship Program. McKnight Doctoral Fellowship provides up to $5,000 in tuition and fees plus an annual stipend of $11,000 to 25 African-American citizens to pursue Ph.D. degrees at participating Florida universities. Applicants must hold or be receiving a bachelor's degree from a regionally accredited college or university. Contingent upon successful academic progress, the maximum length of the award is five years. The Florida Endowment Fund provides the first three years and the student's university continues funding at the same level of support for an additional two years. Detailed information and application packets can be obtained by writing or calling: The Florida Endowment Fund for Higher Education, 201 E. Kennedy Boulevard, Suite #1525, Tampa, FL 33602; 813-272-2772. The deadline for applications for Fall 1993 is: January 15, 1993.

Ford Foundation Predoctoral and Dissertation Fellowships for Minorities. Predoctoral and dissertation fellow-

ships consisting of annual stipends of $11,500 and $18,000 respectively are available to minorities enrolled in researchbased doctoral programs in mathematics, engineering, and other fields. These will be offered on a competitive basis to individuals who are citizens or nationals of the U.S., and who are members of the following groups: Alaskan Natives (Eskimo or Aleut), Native American Indians, Black/African Americans, Mexican Americans/Chicanos, Native Pacific Islanders (Polynesian or Micronesian), and Puerto Ricans. The predoctoral awards also include an allowance to the awardee's university in lieu of tuition and fees. Students interested in the 1993 doctoral fellowships may obtain application materials from the Fellowship Office, National Research Council, 2101 Constitution Avenue, N.W., Washington, DC 20418. The deadline for applications is November 8, 1992. Students interested in the 1993 predoctoral and dissertation fellowship should contact The Fellowship Office at the above address in September 1992 or ca11202-334-2872.

Georgia Institute of Technology. President's Fellowships. These stipends of $4,000 for twelve months are awarded to a selected number of highly qualified U.S. nationals who intend to pursue doctoral degrees. The awards are highly competitive; selection is based on academic criteria and evidence of scholarship. Participants are expected to maintain high academic standing. The Fellowships are intended to supplement other forms of support and can be extended for three additional years based on academic performance and research potential. Graduate Research/Teaching Assistantships. Usually awarded at a one-third time basis at a salary of $10,628 per twelve months, plus waiver of all tuition and fees. Appointments are based primarily on scholarship and ability to contribute to ongoing programs of the school. Prospective students who consider themselves highly qualified for an award should include with their application for admission a letter describing in as much detail as possible their qualifications and needs. Write to the Dean, College of Computing, Georgia Institute of Technology, Atlanta, Georgia 30332-0280.

Daniel and Florence Guggenheim Foundation. Fellowships for U.S. and Canadian residents interested in jet propulsion, energy conversion, fluid mechanics and flight structures. For information on flight structures, write to the Department of Civil Engineering and Engineering Mechanics, Columbia University. For information on applied physics and materials science; dynamics and control systems; energy conversion, propulsion, and combustion; energy and environmental policy; flight science and technology; and fluid mechanics, and computational and experimental fluid mechanics, write to the Director of Graduate Studies, Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544.

Fannie and John Hertz Foundation Fellowships. The stipend is $16,000, plus $8,000-$10,000 cost-of-education allowance per nine month year. Offered on the basis of academic (A- undergraduate GPA) and research performance,


Stipends

recommendations, and personal technical interview, for the support of personal and institutional expenses during graduate education directed toward the Ph.D. degree in applied physical sciences. Tenable at the Department of Applied Science of the Davis Campus, and at all campuses of the University of California; California Institute of Technology; CarnegieMellon University; The University of Chicago; Cornell University; Courant Institute of Mathematical Sciences, New York University; Georgia Institute of Technology; Harvard University; Johns Hopkins University; University of Illinois at Urbana-Champaign; Massachusetts Institute of Technology; Polytechnic Institute of New York; Princeton University; Rensselaer Polytechnic Institute; Rice University; University of Rochester; Stanford University; University of Texas at Austin; Texas A& M University; Vanderbilt University; University of Washington, Seattle; University of Wisconsin, Madison and Yale University, New Haven, Connecticut. Application deadline is October 23. Applicants should write to the Office of the Graduate Dean at these institutions, or write directly to the Hertz Foundation, Box 5032, Livermore, California 94551-5032.

• Hughes Aircraft Company Fellowships. Masters and Doctoral Fellowships are awarded on a competitive basis to qualified individuals in Engineering and Science for study at selected universities in the fields of electrical, mechanical, aerospace or systems engineering, computer science, mathematics, or physics. Most are awarded on a work-study basis. U.S. citizenship is required. G.P.A. must be at least 3.0/4.0. Write to the Hughes Aircraft Company, Corporate Fellowship Office, Technical Education Center, P.O. Box 45066, Bldg. C1/B168, Los Angeles, California 90045-0066.

Hubert H. Humphrey Doctoral Fellowships. Awards are made by the U.S. Arms Control and Disarmament Agency (ACDA) to stimulate interest in the study of arms control in universities around the country by supporting unclassified doctoral dissertation research in the field. Applicants must be U.S. citizens or nationals and must have completed all requirements for the doctorate, except the dissertation, at a U.S. college or university. (Law students are also eligible.) The stipend will be $5,000 for a 12-month period, plus applicable tuition and fees of up to $3,400 for one year. Application deadline is March 15, for the 12-month award period beginning in either September or the following January. For application materials write: Hubert H. Humphrey Fellowship Program, U.S. Arms Control and Disarmament Agency, Washington, DC 20451.

Kosciuszko Foundation. Scholarships and grants for Americans of Polish background. Eligibility: 1). Full-time graduate students in the U.S.; 2). U.S. citizens of Polish descent; 3). Poles who are permanent residents of the U.S.; and 4). Americans of non-Polish descent who are pursuing studies/research relating to Polish subjects. Scholarships are granted for one year. Consideration is given to financial need of each applicant. Application deadline is January 15, 1993. For in-

formation write to Scholarship and Exchange Programs, the Kosciuszko Foundation, 15 East 65th Street, New York, New York 10021-6595; 212-734-2130; FAX: 212-628-4552.

Laboratory Graduate Participation. Supports full-time thesis and dissertation research at participating DOE research facilities for M.A. and Ph.D. candidates majoring in the life, physical, and social sciences; mathematics; and engineering. Applicants must be U.S. citizens who have completed all requirements for the degree except thesis or dissertation research. The annual stipend is $12,000-$14,400 plus certain tuition and fees and additional allowances for dependents. Additional information and application materials may be obtained from Science/Engineering Education Division, Oak Ridge Associated Universities, P.O. Box 117, Oak Ridge, Tennessee 37831-0117.

National Science Foundation. Graduate Fellowships. Three-year awards available to citizens or nationals of the U.S. for full-time study leading to master's or doctoral degrees in science (including mathematics). Awards made only to students who have completed less than one year of graduate study in science or engineering. Stipends of $14,000 proposed for 1993-1994 for a 12-month tenure. No dependency allowances. Education allowance paid to fellowship institution. Application deadline November 8. Further information and application materials may be obtained from the Fellowship Office, National Research Council, 2101 Constitution Avenue, Washington, DC 20418; 202-334-2872.

National Science Foundation. Minority Graduate Fellowships. Awarded for study or work leading to the master's or doctoral degrees, these fellowships are granted for periods of three years. They are open to U.S. citizens or nationals who are members of an ethnic minority group underrepresented in the advanced levels of the U.S. science personnel pool, i.e., American Indian, Native Alaskan (Eskimo or Aleut), Black/African American, Hispanic, or Native Pacific Islander (Polynesian or Micronesian). The stipend is $14,000 proposed for 1993-1994 for 12-month tenures. No dependency allowances. Education allowance paid to fellowship institution. The deadline for applications is November 8. Application materials may be obtained from the Fellowship Office, National Research Council, 2101 Constitution Avenue, Washington, DC 20418; 202-334-2872.

Office of Naval Research. Graduate Fellowship Program. ONR will award up to 50 thirty-six month fellowships for study and research at U.S. institutions offering doctoral degrees in specified engineering, science, and math disciplines. Participants must be U.S. citizens. Fellows selected in 1993 will receive $15,000 for the first year of tenure. ONR will pay the institution full tuition and fees and provide $2,000 to the Fellow's department. ONR Fellowships awarded in this eleventh year of the program will be for study and research in eleven major disciplines: Electrical Engineering, Computer Science, Naval Architecture and Ocean Engineering, Materials Sci-


............................................................................................................................................................. ......._ ............ -.................................................................................... -....................................... .

Stipends

ence, Applied Physics, Aerospace/Mechanical Engineering, Biological/Biomedical Sciences, Cognitive/Neural Sciences, Mathematics, Chemistry, and Oceanography. Deadline for applications is January 15, 1993. Application materials may be obtained from the American Society for Engineering Education (ASEE), 11 Dupont Circle, Suite 200, Washington, DC 20036; 202-986-8516 or 202-986-8525.

Purdue University. Frederick N. Andrews Fellowships, Black and Other Ethnic Minority Doctoral Fellowships, and Teaching Fellowships. Andrews Fellowships: The stipend is $14,000 for twelve months with tuition and fees remitted except for $205 per semester and $102.50 for summer session. Fellowships are renewable for one year upon satisfactory performance in coursework. Fellows may hold additional University employment up to one-quarter time as teaching or research assistants. Minority Fellowships: The stipend is $12,000 for twelve months with all tuition and fees remitted. Fellowships are renewable for up to two years upon satisfactory performance in coursework. Fellows may hold additional University employment up to one-quarter time, as teaching or research assistants. Teaching Fellowships: The stipend is $16,000 for twelve months with tuition and fees remitted except for $205 per semester and $102.50 for summer session. Fellows usually teach four hours per week and fellowships are renewable upon satisfactory performance in coursework. For application forms and information, write to Graduate Office, Department of Mathematics, 1395 Mathematical Sciences Building, Purdue University, West Lafayette, IN 47907-1395.

Sigma Delta Epsilon, Graduate Women in Science. Awards of $1,500- $4,000 for one year, nonrenewable, are available on a competitive basis to those who hold a degree from a recognized institution of higher learning in all the natural sciences (physical, environmental, mathematical, computer and life sciences), are currently involved in research or have an approved research proposal. Appointments will be made irrespective of race, nationality, creed or age. Applications from women are especially encouraged. Application deadline is December 1. Announcement of awards will be made by the following July 1. Further information and application forms may be obtained from Sigma Delta Epsilon, Graduate Women in Science, Inc., 111 East Wacker Dr., Suite 200, Chicago, IL 60601-4298.

University of California, Los Angeles. Biostatistical Training in AIDS. The UCLA Department of Biostatistics has traineeships in AIDS which pay all tuition fees and a monthly stipend. We offer support to both predoctoral and postdoctoral students. Training leading to the doctorate includes courses in Biostatistics, Mathematical Statistics, and AIDS and provides collaboration experiences with AIDS researchers. Postdoctoral fellowship training is arranged specifically for each fellow. Fellows with doctorates in Biostatistics or Statistics will take the AIDS courses, · collaborate with AIDS researchers, and work on their own statistical research projects. Postdoctoral fellows with a doctorate in other fields will take

biostatistics courses, AIDS courses, and work on their own research projects. This federally funded program requires permanent residence in the U.S. or U.S. citizenship. We encourage applications from qualified women and minority candidates. AAIEOE. Contact: Dr. Peter A. Lachenbruch, UCLA Department of Biostatistics, Los Angeles, CA 90024-1772.

Zonta International Foundation. Amelia Earhart Fellowship Awards. Established in honor of Amelia Earhart, Zonta member from 1928-1937, the Fellowships recognize excellence and encourage and support women in aerospace related science and engineering. Forty $6,000 grants to women for graduate study in aerospace-related science or engineering are awarded annually. Qualifications for the Fellowships are: A graduate degree preparatory for advanced study and research in a qualifying area of science or engineering; a superior academic record and evidence of potential; and an acceptance by an institution offering fully accredited graduate courses and degrees in aerospace-related sciences and engineering. Deadline for applications is December 1. Applications available after September. For more information: Zonta International, 557 W. Randolph St., Chicago, IL 60661-2206; 312-930-5848; FAX: 312-930-0951.

Postdoctoral Support Air Force Office of Scientific Research. Research Contracts and Grants. Mathematicians and computer scientists are encouraged to submit proposals through their organizations for research support. Research areas include mathematics of dynamics and control, physical mathematics and applied analysis, computational mathematics, optimization and discrete mathematics, signal processing, probability and statistics, software and systems, artificial intelligence, neural computation systems, and electromagnetics. Research proposals should be forwarded to the Director of Mathematical and Computer Sciences, Air Force Office of Scientific Research (AFOSR/NM), Bolling AFB, DC 20332-6448.

American Association for the Advancement of Science. 1993-1994 Congressional Science and Engineering Fellowships. Fellows spend one year working as special legislative assistants on the staffs of members of Congress or congressional committees, beginning in September 1993. The program includes an orientation on congressional and executive branch operations and a year-long seminar program on issues involving science and public policy. To provide a unique public policy learning experience, to demonstrate the value of such science-government interaction, and to make practical contributions to the more effective use of scientific and technical knowledge in government. A prospective fellow must demonstrate exceptional competence in some area of science or engineering; have a good scientific and technical background; and have a strong interest and some experience in applying personal knowledge toward the solution of societal problems. Candidates should be postdoctoral to mid-career


Stipends

scientists or engineers. AAAS will sponsor two Fellows. The stipend is $40,000 plus an allowance for relocation and travel expenses. Deadline for receipt of applications by AAAS is January 15, 1993. American Association for the Advancement of Science, 1333 H. St., NW, Washington, DC 20005; 202-326-6600.

American Association for the Advancement of Science. Science, Engineering and Diplomacy Fellowships. One-year fellowships are available for work as staff officers in the State Department and in the Agency for International Development. The Fellow must demonstrate exceptional competence in some area of science or engineering, be flexible, and have a strong interest or some experience in applying knowledge toward the solution of problems in the area of foreign affairs. A secret security clearance must be obtained after selection. Salaries are at the GS 12 level depending upon education and experience. Deadline for receipt of applications is January 15. For application materials and more specific information on assignment possibilities write to Science, Engineering and Diplomacy Fellows Program, AAAS, 1333 H Street, N.W., Washington, DC 20005.

American Association for the Advancement of Science. Summer Environmental Science and Engineering Fellows Program. Fellows will spend ten weeks working as special research consultants with the Office of Research and Development (ORD) of the U.S. Environmental Protection Agency (EPA) in Washington, DC. Fellows will undertake a detailed, future-oriented research project of mutual interest to the Fellow and one of EPA's research or program offices and prepare a report at the completion of the summer's work. The program includes a week-long orientation to EPA and relevant congressional and executive branch operations, as well as a weekly seminar program on environmental issues and science, technology and public policy. The purpose of the fellowship program is to assist ORD in identifying and assessing the significance of long-range environmental problems and opportunities. Prospective fellows must be postdoctoral to mid-career professionals, show exceptional competence in a relevant professional area, have a broad professional background, and have a strong interest and some experience in applying scientific or other professional knowledge toward the identification and assessment of future environmental problems. Persons may apply from any physical, biological, or behavioral science field, any field of engineering, or any other relevant professional field. Applicants must be residents of the U.S. The stipend is $950 per week plus nominal relocation and travel expenses. The deadline for receipt of applications is January 15, 1993. American Association for the Advancement of Science, 1333 H. St., NW, Washington, DC 20005; 202-326-6600.

American Association of University Women (AAUW) Educational Foundation. American Fellowships. See the listing in the Graduate Support section for information.

American Association of University Women (AAUW) Educational Foundation. Career Development Grants. See the listing in the Graduate Support section for information.

American Mathematical Society Centennial Fellowships. Postdoctoral Fellowships. These fellowships are intended to provide enhanced research opportunities to mathematicians who are several years past the Ph.D., who have a strong research record, but who have not had extensive postdoctoral research support in the past. Applicants should have received the Ph.D. degree between January 1, 1981, and December 31, 1986, and should not have had the equivalent of more than two years of full-time postdoctoral support. The stipend for fellowships awarded for 1993-1994 has been set by the Trustees of the Society at $41,500 for nine months. In addition, there will be an expense allowance of $1,350. Applicants must be citizens or permanent residents of a country in North America. The fellowship may be combined with other stipends and/or part-time teaching; this option can be used to extend the award to cover a period of up to two years. For further information about the acceptability of such arrangements, individuals should contact the Secretary of the Society. The number of fellowships to be awarded is small and depends on the amount of money contributed to the program. The Trustees have arranged a matching program from general funds in such fashion that funds for at least one fellowship are guaranteed. Because of the generosity of the AMS membership, it has been possible to award two or three fellowships a year for the past six years. The deadline for receipt of applications is December 1, 1992. Awards will be announced in February 1993, or earlier if possible. For application forms, write to the Executive Director, American Mathematical Society, P.O. Box 6248, Providence, Rl 02940. (It should be noted that completed application and reference forms should NOT be sent to this address, but to the address given on the forms.)

American Philosophical Society. Postdoctoral research grants of up to $4,000 (averaging $2,000) for candidates with Ph.D. for at least one year to aid specific research projects. Grants contribute toward travel expenses, food and lodging, photoduplication, and some other research costs. Tenable abroad and in U.S. The Committee on Research meets in February, April, June, October, and December. For application forms, please briefly describe your project and proposed budget in a letter to: Committee on Research, American Philosophical Society, 104 South Fifth Street, Philadelphia, Pennsylvania 19106.

American Society for Engineering Education. NASA -ASEE Summer Faculty Fellowships. Programs in science and engineering research in collaboration with the National Aeronautics and Space Administration research centers; for U.S. citizens who are faculty or research members (with at least two years experience) of institutions of higher education. Stipends will be $900/week for ten weeks, plus trave allowance. Application deadline is January 15, 1993. For published


Stipends

announcement write to NASA-ASEE Summer Faculty Fellowships, American Society for Engineering Education, Suite 200, Eleven Dupont Circle, N.W., Washington, DC 20036; 202-986-8525/202-986-8500.

American Society for Engineering Education. Navy-ASEE Sabbatical Leave Program. This program allows science and engineering faculty the opportunity to conduct research at Navy Laboratories while on sabbatical leave. Participants in the program will receive a monthly stipend making up the difference between salary and sabbatical leave pay from their home institution. In addition, participants will receive reimbursement for travel to and from the laboratory site and a relocation allowance for those who must relocate their residence during their sabbatical leave tenure. Appointments must be for at least one quarter or semester. Applications for the program will be accepted at any time throughout the year. For information, write to: Navy-ASEE Faculty Research Programs Director, Eleven Dupont Circle, Suite 2000, Washington, DC 20036.

• American Society for Engineering Education. Navy- ASEE Summer Faculty Research Programs. Programs in math, science and engineering research at the laboratories and R&D centers of the Navy; for U.S. citizens who are faculty or research members of institutions of higher education. Stipends will be given at various levels, plus travel and relocation allowances. Application deadline is January 15. For a program announcement write to Navy Summer Faculty Program, American Society for Engineering Education, Suite 200. Eleven Dupont Circle, N.W., Washington, DC 20036.

American Statistical Association (ASA). Senior Research Fellowship Program. The ASA/NSF/NIST Senior Research Fellowship Program, which is cosponsored by the National Science Foundation (NSF) and the National Institute of Standards and Technology (NIST), invites applications for Fellowships and Associateships at NIST during the 1993-1994 academic year. The Fellowships are intended for senior researchers, while the Associateships are for advanced graduate students and recent Ph.D.s. In particular, the program seeks fellows with a strong interest in cross-disciplinary research in process modeling and optimization. Areas of research that fit NIST's research mission and facilities include: Statistical approaches in materials processing and measurement; on-line control in automated manufacturing; statistical computing, design, modeling, and simulation of measurement processes; design of experiments; graphical data analysis; and statistical image processing. Stipends of the Senior Research Fellows will be commensurate with qualifications and experience, and fringe benefits will be provided. Appointments will last three to nine months. Applications are due January 15, 1993 for Fellows and February 17, 1993 for Associates. For application information, contact Carolee Bush, ASA/NSFINIST Research Program, American Statistical Association, 1429 Duke St., Alexandria, VA 22314-3402; 703-684-1221. For information on research topics and other aspects of the program,

contact Ruth Varner, Coordinator, ASA/NSFINIST Research Program, Statistical Engineering Division, National Institute of Standards and Technology, Administration Bldg., Room A337, Gaithersburg, MD 20899; 301-975-2839. Women and minorities are encouraged to apply.

The Bunting Institute of Radcliffe College. Science Scholar Fellowships. The Bunting Institute provides fellowships to postdoctoral scientists who have received the Ph.D. two years prior to appointment to work on projects that will make a contribution to their fields and advance their careers. Open to women scientists who are U.S. citizens in the fields: astronomy, molecular and cellular biology, biochemistry, chemistry, cognitive and neural science, computer science, electrical engineering, aerospace/mechanical engineering, geology, materials science, mathematics, physics, naval architecture and ocean engineering, oceanography, and all fields that relate to the study of oceans. Office space; stipend $31,300 plus research expenses; one-year appointment; access to Harvard/Radcliffe libraries and facilities. Deadline for applications is October 15, 1992 (postmarked). Write or call for application and information to: Science Scholar Fellowship Program, The Bunting Institute of Radcliffe College, 34 Concord Avenue, Cambridge, Massachusetts 02138; 617-495-8212.

California Institute of Technology. Harry Bateman Research Instructorships. Offered by Mathematics at the California Institute of Technology. Open· to men and women (of any age) who have recently received their doctorate in mathematics. Appointments are for one year and are renewable for one additional year. The annual salary for academic year 1992-1993 is $37,000. Duties include teaching one course for the full academic year. Please send applications by January 1 if possible. Inquiries or requests for application forms should be addressed to Professor M. Aschbacher, Professor and Executive Officer for Mathematics, 253-37 Sloan Laboratory, Pasadena, California 91125. Caltech is an Affirmative Action/Equal Opportunity Employer. Women and minorities are encouraged to apply.

Cornell University. Possible H. C. Wang Assistant Professorship. During one of the years, the holder of a Wang Assistant Professorship will have a teaching load of two courses in the first semester and one in the second; otherwise, it will be two courses per semester. Salary $32,000. The Assistant Professorship is nonrenewable after a three-year term. Applications and letters of reference should be addressed to Recruiting Committee, Department of Mathematics, White Hall, Cornell University, Ithaca, New York 14853-7901.

Courant Institute. Visiting Memberships and Courant Institute Instructorships. The Courant Institute is a center for advanced training and research in the mathematical sciences. It has long been a leader in mathematical analysis, applied mathematics, and computational science, with special emphasis on partial differential equations and their applications.


•••••••••••••••••• ••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••·••·•••••••·•••••• ••••••••m••••••••••••••••••••••••••••••••••••••••••--~~: ---------~~ij·---!!!f"'••••-m•••••m-• .. •~~~~-~··•---------•-•m•·--·•-••••• Stipends

Its scientific activities include an extensive array of research seminars and advanced graduate courses. Each year a limited number of positions are awarded to postdoctoral scientists. Applicants must have a Ph.D. in mathematics or an affiliated discipline. Preference is given to recent Ph.D.s. Courant Institute Instructorships are ordinarily for a two-year term, including summer salary; they carry a teaching load of one course per semester. Visiting Memberships are ordinarily for a one-year term, but carry no teaching duties; extension or renewal may be possible. For an application form and further information write to: Visiting Membership Committee, Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY 10012-1185. Applications for the 1993-1994 academic year are due by December 15, 1992. NYU is an Equal Opportunity/Affirmative Action Employer.

Dartmouth College. John Wesley Young Research Instructorships. Two instructorships are normally awarded by Dartmouth College each year. Teaching duties are one course for two quarters and two courses for one quarter (or two courses for two quarters) and are of a varied and nonroutine nature. The academic-year salary of $34,000 is supplemented by a two-month resident research stipend of $7,556, for a total of $41,556. Appointments are for two years and are not renewable. Applicants should write to Department of Mathematics and Computer Science, Dartmouth College, Hanover, New Hampshire 03755 (Attention: Recruiting). Applicants are advised to apply promptly, and no later than January 15, 1993.

Fellowships in Mathematics and Molecular Biology. See listing in the Graduate Support section for information.

• Fellowships in Residence at the Smithsonian Institution. Smithsonian Fellowships support research in residence at the Smithsonian Institution, in association with the staff, using the Institution's resources. Early contact with the potential advisor is strongly recommended. Awards are based upon merit and are open to all qualified individuals, without reference to race, color, religion, sex, national origin, age, or condition of handicap of any applicant. Deadline for Smithsonian Fellowships: January 15, 1993. Senior Postdoctoral Fellowships for postdoctoral scholars more than seven years beyond the degree. Term: three to twelve months. Annual stipend: $26,000 plus allowances. Postdoctoral Fellowships for postdoctoral scholars up to seven years beyond the degree. Term: six to twelve months. Annual stipend: $21,000 plus allowances. Predoctoral Fellowships for doctoral candidates to conduct dissertation research. Term: six to twelve months. Annual stipend: $13,000 plus allowances. Ten-week Graduate Student Fellowships for graduate students to conduct independent research. Stipend: $3,000. For more information about Smithsonian Fellowships and academic appointments, write or call: Office of Fellowships and Grants, Smithsonian Institution, Desk P, Suite 7300 L'Enfant Plaza, Washington,

DC 20560; 202-287-3271. Please include area of study, dates of graduate degrees received and/or expected.

Ford Foundation Postdoctoral Fellowships for Minorities. Administered by the National Research Council, these fellowships are sponsored by the Ford Foundation. Applicants must be U.S. citizens who are members of one of the designated minority groups: American Indians and Alaskan Natives (Eskimo or Aleut), Black/African Americans, Mexican Americans/Chicanos, Native Pacific Islanders (Micronesians and Polynesians), or Puerto Ricans, who are engaged in college or university teaching, and hold a doctoral degree. Tenure of the one-year fellowship provides postdoctoral research experience at an appropriate nonprofit institution of the Fellow's choice. The stipend is $25,000 with a travel and relocation allowance of $3,000. No dependency allowance is available. The employing institution is encouraged to supplement the Fellow's stipend. The program will also provide a cost-ofresearch allowance of $2,000 for each Fellow in residence that is meant as partial support for the Fellow's study and research program. The deadline for the submission of applications is January 1993. Further information and application materials may be obtained from the Fellowship Office, National Research Council, 2101 Constitution Avenue, N.W., Washington, DC 20418; 202-334-2860.

• Fulbright Scholar Program. The Fulbright Scholar Program include 300 grants in research and 700 grants in university lecturing for periods ranging from two months to a full academic year. There are openings in over 100 countries with some opportunity for multi -country research. Fulbright awards are granted in virtually all disciplines. Scholars in all academic ranks, retired faculty and independent scholars are eligible to apply. Benefits include round-trip travel; maintenance allowance to cover living costs of grantee and family; and other supplemental allowances. Basic eligibility requirements are U.S. citizenship; Ph.D. or comparable professional qualifications; university or college teaching experience; and, for selected assignments, proficiency in a foreign language. Application deadlines vary. For more information and applications, call or write Council for International Exchange of Scholars, 3007 Tilden St., N.W., Suite M-500, Washington, DC 20008-3009; 202-686-7866.

John Simon Guggenheim Memorial Foundation Fellowships. Fellowships are on an advanced professional level. U.S. or Canadian citizenship or permanent residence is required. Fellowships are also offered to citizens or permanent residents of Latin America and the Caribbean. Application deadline: October 1 for the U.S. and Canada competition; December 1 for the Latin American and Caribbean competition. Approximately 175 awards are made, averaging approximately $26,000 in 1992. For more information write to John Simon Guggenheim Memorial Foundation, 90 Park Avenue, New York, New York 10016.


........... _ ..................................................................................................... - .......... _ ........................................ _______ ............................................................................................................................................ .. Stipends

Harvard University. Benjamin Peirce Lectureships. Rank of Assistant Professor. The appointments are for three years with a starting salary of approximately $40,900 (for the nine-month academic year) which can be augmented by teaching in the summer school or by working on a research contract if funds are available. The teaching commitment is six hours per week of lectures including a half course on any topic of the lecturer's choice. Application forms may be obtained by writing to: Benjamin Peirce Lectureships, Department of Mathematics, Harvard University, One Oxford Street, Cambridge, Massachusetts 02138. Applications must be filed by Decemb~r 28, 1992. Harvard is an Equal Opportunity/Affirmative Action Employer, and particularly encourages applications from women and minority candidates.

IBM Thomas J. Watson Research Center. Mathematical Sciences Department Postdoctoral Research Fellowships. These fellowships provide an opportunity for scientists of outstanding ability to pursue their own research interests in pure or applied mathematics while interacting closely with Department members in an atmosphere in which basic research is combined with exposure to technical problems arising in a mathematically oriented industry. Candidates (of any age) must have no more than five years of postdoctoral professional experience when the fellowship commences. Fellowships have a period of one year, extendable to two years depending on mutual interest in continuation. The stipend will be generally in the range of $58,000 to $63,000 per year, depending on experience. To apply, submit the following by December 15, 1992: resume; thesis summary; thesis or reprints of publications based on thesis, if available;· bibliography with reprints of principal papers; research proposal containing an abstract of approximately 200 words for the period of the fellowship; and three or more letters of reference, including one from your thesis adviser. The letters of reference should arrive separately, but must be received by the above date. Resume must list applicant's visa status. Direct all material to Committee on Postdoctoral Fellowships, Department of Mathematical Sciences, IBM Research Center, Post Office Box 218, Yorktown Heights, New York 10598. Applicants will be notified individually as soon as the Committee has reached a decision on the application. The Research Center is located in Westchester County about thirty miles north of New York City.

Indiana University, Bloomington. V aclav Hlavatj Research Assistant Professorships. This position is intended for mathematicians with recent doctorates who show definite promise in research and teaching. Inquiries and requests for application forms should be addressed to Recruitment Committee, Department of Mathematics, Indiana University, Bloomington, Indiana 47405. Preference will be given to applications received before January 1, 1993. Indiana University is an Equal Opportunity/Affirmative Action Employer.

Institute for Advanced Study Memberships. The School of Mathematics will grant a limited number of memberships, some with financial support, for research in mathematics at the Institute during the academic year 1993-1994. Candidates must have given evidence of ability in research comparable at least with that expected for the Ph.D. degree. Application blanks may be obtained from The School of Mathematics, Institute for Advanced Study, Princeton, New Jersey 08540, and should be returned (whether or not funds are expected from some other source) by December 1, 1992. An Equal Opportunity/ Affirmative Action Employer.

Institute for Mathematics and its Applications (IMA). Postdoctoral* Memberships. The IMA will award up to 15 12-month research memberships with starting date approximately September 1, 1993. The postdoctoral* terms will include the academic year program on Emerging Applications of Probability, September 1993 to June 1994. All requirements for a doctorate should be completed by September 1, 1993. Applicants must show evidence of mathematical excellence, but they do not need to be specialists in the field. The following materials must be submitted: (1) personal statement of scientific interest, research plans, and reasons for wishing to participate in the Emerging Applications of Probability program. (This is an essential part of the application.); (2) Curriculum vitae and a list of publications; (3) Three letters of recommendation, to be sent directly to the IMA. All material should arrive by January 15, 1993. Senior memberships are also available. Preference will be given to supplementary support for persons with sabbatical leaves, fellowships, or other stipends. All correspondence should be sent to: Visiting Membership Committee, Institute for Mathematics and its Applications, University of Minnesota, 514 Vincent Hall, 206 Church Street S.E., Minneapolis, MN 55455-0436 U.S.A. The University of Minnesota is an equal opportunity educator and employer, and specific;llly invites and encourages applications from women and minorities. *The actual hiring title will be "Research Associate".

Institute for Mathematics and its Applications (IMA). Postdoctorates* in Industrial Mathematics. The IMA will award up to 8 one-to-two year positions in Industrial Mathematics, effective September 1, 1993. These appointments are in addition to the regular IMA 1993-1994 postdoctoral program in "Emerging Applications of Probability" and are funded jointly by the NSF and by industry. They are designed to prepare mathematicians for research careers involving industrial interaction. Applicants should have received their Ph.D. in Mathematics or Applied Mathematics by September 1, 1993. Familiarity with pde and/or numerical analysis is desired, but no knowledge in engineering is required. Postdoctorates* will spend 50% effort in the IMA program and 50% effort working with scientists from industry on one of the following topics: (1) Signal processing and computational ocean acoustics; (2) Diffractive optics; Maxwell equations in periodic structure; (3) Computational fluid mechanicsviscous free-surface flows; (4) Scattering of electromagnetic


------------·--~~~~~----------lt--11---························-··········--············--························· Stipends

waves from complex objects; (5) Magneto-optic recording media; the writing process; (6) Semiconductors; (7) Solid state physics and computational chemical physics; (8) Problems in mathematical photography; (9) Air quality modeling; (10) Control theory; (11) Imaging analysis; (12) Micromagnetics; and (13) Near-infared imaging. The following materials must be submitted: (1) Personal statement of scientific interest, research plans and reasons for wishing to participate in the program. (This is an essential part of the application.) (2) Curriculum vitae and a list of publications. (3) Three letters of recommendation, to be sent directly to the IMA. All material should arrive by January 15, 1993. All correspondence should be sent to: Industrial Mathematics Postdoctorate Membership Committee, Institute for Mathematics and its Applications, University of Minnesota, 514 Vincent Hall, 206 Church Street S.E., Minneapolis, MN 55455-0436 U.S.A. The University of Minnesota is an equal opportunity educator and employer, and specifically invites and encourages applications from women and minorities. *The actual hiring title will be "Research Associate".

Los Alamos National Laboratory. Postdoctoral Research Fellowship. Research opportunities are granted in many areas of experimental and theoretical physics, chemistry, mathematics, computer science, materials science, biological sciences, environmental science, geoscience, and many engineering fields. Candidates must be recipients of a doctoral degree within the past three years. Appointments are available for two years, subject to renewal for a third year. Starting salary: $38,133-$40,164. A postdoctoral committee meets to review candidates for postdoctoral appointments in February, May, August, and December. Los Alamos National Laboratory is an Equal Opportunity Employer. For additional information, write to Mary Anne With, Mail Stop P-290, Los Alamos National Laboratory, Los Alamos, New Mexico 87545.

Los Alamos National Laboratory. J. Robert Oppenheimer Research Fellowship. Research opportunities are granted in many areas of experimental and theoretical physics, chemistry, mathematics, computer science, materials science, biological sciences, environmental science, geoscience, and many engineering fields. Candidates must be recipients of a doctoral degree within the past five years and must show clear and definite promise of becoming outstanding leaders in scientific research. Appointments are for two years, subject to renewal for a third year. Starting salary: $60,060. Application deadline: mid-November each year. Los Alamos National Laboratory is an Equal Opportunity Employer. For additional information, write to Mary Anne With, Mail Stop P-290, Los Alamos National Laboratory, Los Alamos, New Mexico 87545.

Massachusetts Institute of Technology. C.L.E. Moore Instructorships in Mathematics. Offered by the Department of Mathematics at the Massachusetts Institute of Technology. Open to mathematicians with doctorates who show definite promise in research. The base salary will be at least $35,000,

and the teaching load is six hours per week in one semester and three hours per week in the other. Appointments are for one year and are renewable for two additional years. Applicants please send (a) a vita; (b) a description of the research in your thesis and other work you have done (1-3 pages); and (c) the research which you plan for next year. Application should be sent, by December 31 if possible, to the Department of Mathematics, Room 2-263, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139. M.I. T. is an Equal Opportunity Employer.

Mathematical Sciences Institute (MSI) at Cornell University. The MSI is beginning its search for postdoctoral visitors for the academic year beginning August 1993. The Institute supports research in the following areas: Symbolic Methods in Algorithmic Mathematics, Stochastic Analysis, and the Mathematics of Nonlinear Systems. For information about the Institute and about the research in algorithmic mathematics and stochastic analysis, please contact: MSI, 409 College Avenue, Ithaca, NY 14850; 607-255-8005. For information about research in nonlinear systems, please contact: J.G. Glimm, Dept. of Applied Mathematics and Statistics, SUNY Stony Brook, Stony Brook, NY 11794-3600; 516-632-8370. MSI prefers scientists who are not more than five years beyond the doctoral degree. Women and minority candidates are encouraged to apply. Candidates are eligible for academic year appointments with possible extension to a second year. The salary is $34,500 for nine months, plus benefits. The deadline for 1993-1994 applications is January 4, 1993, and awards will be made February 15, 1993. In addition to a curriculum vitae, three letters of recommendation are required. One letter should come from the thesis advisor. Reprints of published articles are appreciated. MSI is partially funded by the U.S. Army Research Office. Cornell University is an equal opportunity, affirmative action employer.

Mathematical Sciences Research Institute (MSRI). Research Fellowships. The Institute will award about 20 yearlong research fellowships with starting date September 1993 for new and recent Ph.D.s. The stipend will be at least $30,000. The year 1993-1994 features a yearlong program on Differential Geometry, and half-year program on Dynamical Systems and Probabilistic Methods for PDE's; but some awards will be made in other areas, so applications from candidates in all fields are welcome. Application forms can be obtained by writing to the Mathematical Sciences Research Institute, 1000 Centennial Drive, Berkeley, California 94720; 510-642-0143. Files must be complete by November 30, 1992.

Mathematical Sciences Research Institute (MSRI). Research Professorships. These awards are intended for midcareer mathematicians; the applicant's Ph.D. should be 1987 or earlier. An award for a full academic year will be limited to a ceiling of $30,000 and normally will not exceed half the applicant's salary. Appointments can be made for a portion of the year; the $30,000 ceiling and half salary limit would then be prorated. It is anticipated that between six and ten awards


Stipends

will be made. In addition to the basic stipend, there will be an award for round trip travel to MSRI. In 1994-1995, MSRI will feature two programs: Automorphic Forms and Low Dimensional Systems. Research Professorships are directed to applicants in all fields of the mathematical sciences. There are also Senior Memberships, which normally offer smaller awards. An applicant can apply for both (but only one award will be made per applicant). Women and minority applicants are especially encouraged to apply. Application forms should be obtained by writing to the Mathematical Sciences Research Institute, 1000 Centennial Dr., Berkeley, CA 94720; 510-642-0143. Deadline for applications is September 30, 1993.

The Michigan Society of Fellows. Horace H. Rackham School of Graduate Studies, The University of Michigan. The Michigan Society of Fellows was founded in 1970 through grants from the Ford Foundation and Horace H. Rackham Graduate School for the purpose of promoting academic and creative excellence in the arts, sciences and professions. The objective of the program is to support individuals selected for outstanding achievement, professional promise, and interdisciplinary interests. We invite applications from qualified candidates for three-year postdoctoral fellowships at The University of Michigan. Candidates must have received the Ph.D. degree between January 1, 1990, and September 1, 1993. Fellows are appointed as Assistant Professors/Postdoctoral Scholars with departmental affiliations. They spend the equivalent of one academic year teaching; the balance of time is devoted to their own scholarly research and creative work. Applications will be screened by faculty in relevant University of Michigan departments. Final selections will be made by the Senior Fellows of the Society. Four new Fellows will be selected for three-year terms beginning September 1993. The initial stipend will be $26,000. Completed applications are due October 15, 1992. Please send requests for application materials to Michigan Society of Fellows, 3030 Rackham Building, The University of Michigan, Ann Arbor, Michigan 48109-1070; 313-763-1259.

Michigan State University. MSU Postdoctoral Research Positions in Mathematics. One or more two-year positions will be available for new or recent Ph.D.s who show strong promise in research and teaching. These positions will begin in the Fall of 1993, with a starting salary of at least $34,000. Teaching duties will be kept to a minimum to maximize research time and interaction with faculty. The teaching load is three (3-credit) semester courses per year. NSF postdoctoral fellowships or other awards may be held concurrently for a further reduction in teaching load. An applicant should send a vita as well as a brief statement of research interests and arrange to have sent three letters of recommendation commenting on the applicant's research and teaching abilities. All application materials should be addressed to The Hiring Committee, Department of Mathematics, Michigan State University, East Lansing, MI 48824-1027; email: 21144hir-

[email protected]. The deadline for applications is December 1, 1993. MSU is an Equal Opportunity/Affirmative Action Employer.

National Center for Atmospheric Research. Advanced Study Program. Postdoctoral Fellowships are offered for highly qualified atmospheric scientists, and scientists from related disciplines, who wish to continue basic research in the atmospheric sciences. Appointments are for a one-year period with a possible extension for an additional year. Stipends are $31,500 for recent recipients of the Ph.D. and are adjusted annually in June. The application deadline is January 8, 1993. Inquiries should be sent to Barbara McDonald, Advanced Study Program, NCAR, P.O. Box 3000, Boulder, Colorado 80307-3000.

• National Research Council. Research Associateship Programs. These programs provide scientists and engineers opportunities for postdoctoral research, free from administrative duties, in a variety of scientific disciplines and fields of specialization. The programs are conducted in cooperation with thirty selected federal organizations with one hundred laboratories at approximately sixty geographic locations in the United States. Many programs are open to senior investigators as well as recent Ph.D.s. Most are also open to foreign nationals as well as U.S. citizens. Applications for these competitive awards will be received by the National Research Council until January 15, 1993, (December 15, 1992 for NASA awards). Appointments will be made in the spring. In some programs additional deadlines are April15 and August 15 with awards announced in July and November respectively. Annual stipends range from $27,150 to $42,000, depending on laboratory of application. Further information and application materials can be obtained from Associateship Programs (GR430/M1), National Research Council, 2101 Constitution Avenue, N.W., Washington, DC 20418; Fax: 202-334-2759.

National Science Foundation. Career Advancement Awards. These awards are intended for women who already have established research careers and are seeking to dramatically forward their career in their current field or, more commonly, to change direction. Eligibility is limited to U.S. citizens, nationals, or permanent residents. Applicants may have had prior research support, federal or otherwise. Awards are limited to a maximum of $50,000 for a period of 12 months with an additional $10,000 for equipment, if needed. Up to 10% of these funds may be used to defray administrative expenses in lieu of direct costs. These awards are not renewable. Proposals must be received by Janaury 15 of each year. Ten copies of the proposal should be submitted to NSF disciplinary programs through standard institutional channels. For more information write to: Women's Program, Human Resources Development, National Science Foundation, Washington, DC 20550; 202-357-7456.

National Science Foundation. Computer Science Research. Grants support research concerned with such topics as the-


............................................................................. ___ ~~~--~~-!i!li~•••••••~~-•r·--···-----~--... ~----Stipends

oretical foundations of computer science, software systems science, programming languages and compilers, software engineering, numeric, symbolic, and geometric computation, and computer systems, which includes graphics. Guidelines on eligibility and proposal preparation are available in "Grants for Scientific and Engineering Research." For this brochure and additional information write: Division of Computer and Computational Research, National Science Foundation, 1800 G Street, N.W., Washington, DC 20550.

National Science Foundation. Mathematical Sciences Postdoctoral Research Fellowships. (With Research Instructorship Option). The format of the 1993 Fellowship program has not been significantly changed from that of 1992. The stipend portion of the awards will consist of support for two nine-month academic years and six summer months, for a total of 24 months of support. The awardee will have two options for the academic years' stipend: as full-time support for any eighteen academic-year months in a three-year period, in intervals not shorter than three consecutive months (the Research Fellowship Option), or as a combination of full-time and half-time support over a period of three academic years, usually as one academic year full-time and two academic years half-time (the Research Instructorship Option). The stipend will be paid at the rate of $2,750 per full-time month or $1,375 per halftime month, for a total of $66,000 for the eighteen academic months and six summer months. Deadline for applications is October 15, 1992; awards will be announced on or about February 15, 1993. For further details write to the Office of Special Projects, Room 339, Division of Mathematical Sciences, National Science Foundation, 1800 G Street, N.W., Washington, DC 20550 or call202-357-3453.

• National Science Foundation. Postdoctoral Fellowships in Japan. In an effort to strengthen ties between U.S. and Japanese researchers in science and engineering, the National Science Foundation (NSF) established in 1988 a "Japan Initiative." The initiative includes a number of programs designed to increase the number of American researchers who can operate with ease in Japan's research community and follow developments in the Japanese research literature. As part of the program, the NSF coordinates two postdoctoral fellowship programs. The first, sponsored by the Japan Society for the Promotion of Science, will award 25 fellowships to conduct research in Japanese university laboratories or at other institutions affiliated with the Japanese Ministry of Education, Sciences, and Culture. The 12-month research visits are open to U.S. citizens or nationals not more than 35 years of age. The program provides airfare for the awardee, a monthly stipend, a modest housing allowance, medical insurance, and a language-training allowance. Through the second program, sponsored by the Science and Technology Agency of Japan, approximately 35 young American researchers will have the opportunity to collaborate with Japanese colleagues at nonacademic research facilities in Japan. The awards may be held for 6 - 24 months and provide a monthly stipend, travel, housing, medical insurance, and research-related expenses.

The Research Development Corporation of Japan will provide language training for the participants at Tsukuba Science City. To be eligible, applicants must be no more than 35 years of age. The deadline for both programs is November 1. For more information, request NSF publications 88-52 and 88-98 from Forms and Publications Unit, Room 232, National Science Foundation, Washington, DC 20550, or electronically through either Bitnet (pubs@NSF) or Internet ([email protected]). Include the publication numbers, your name, and a complete mailing address.

National Science Foundation. Research Planning Grants for Women. These awards are made to help increase the number of new women investigators participating in NSF's Research Programs and to assist those who have not previously developed a successful independent proposal for federally funded research to develop a more competitive NSF disciplinary research proposal. The grantee is expected to submit a full research proposal to NSF subsequent to the completion of the research planning grant. The grants are limited to $18,000 up to 18 months. Up to 10% of these funds may be used to defray administrative expenses in lieu of direct costs. Eligibility is limited to women who have not served as principal or coprincipal investigators on independent federal research awards and to women who are U.S. citizens, nationals, or permanent residents. Proposals must be received by January 15 of each year. Ten copies of the proposal should be submitted to NSF disciplinary programs through standard institutional channels. For more information write to: Women's Program, Human Resources Development, National Science Foundation, Washington, DC 20550; 202-357-7456.

National Science Foundation. Visiting Professorships for Women(VPW). This program enables women scientists and engineers experienced in independent research to undertake advanced research at a university or research institution. In addition to research, the visiting professor undertakes lecturing, counseling, and other interactive activities. These may be done at the graduate or undergraduate level, be directed to the community at large, or involve some combination of such activities. Applicants must hold a doctorate (or have equivalent experience) in a field of research supported by NSF, and have independent research experience. Candidates must be citizens or permanent resients of the U.S. The usual award is for twelve months for a full- or part-time professorship. Awards for one academic semester will be considered, as will proposals for periods of up to 24 months. The amount of the award will be determined by the work to be performed; past VPW awards have ranged from approximately $30,000 to $235,000. Proposals must be submitted by November 1 of each year. For more information contact the VPW Program Director at 202-357-7456 or write to obtain a Visiting Professorship Program announcement to: Program Director, Visiting Professorships for Women, Graduate Education and Research Development, National Science Foundation, Washington, DC 20550.


-······-·-··············--········--···············---··--··········•"""""""''""'""'"""""'''"'''"--"•'"'"'' ____________ .. , __ .. _, ______ ............ _ ................................................................ ,_, ...................................... .

Stipends

Office of Naval Technology (ONT). Postdoctoral Fellowship Program. The ONT sponsors this program at a number of Naval R&D centers and laboratories. The program is designed to significantly increase the involvement of creative and highly trained scientists and engineers from academia and industry in scientific and technical areas of interest and relevance to the Navy. Scientific research and technological developments are pursued to address problems such as: Hydrodynamics, aerodynamics, acoustics, electronic devices, biotechnology, oceanography, computer hardware and software, material science, target detection and surveillance, weaponry, directed energy, biomedicine, signal processing, simulation, training, construction, and logistics. The ONT Program provides approximately forty new postdoctoral appointments per year. Fellowship awards will be based upon the technical quality and relevance of the proposed research, recommendations by the Navy laboratories or centers, academic qualifications, reference reports, and availability of funds. Application deadlines are January 1, April 1, July 1, or October 1. Anyone interested must contact the research facility at which they are interested in working in order to develop a suitable research proposal. Proposals developed with the host facility stand the greatest chance of success in the selection process. The awards are for one year and are renewable for a second year, given satisfactory performance and availability of funds. The stipend for the first year is $36,000 (minimal experience). A travel and relocation allowance will be paid. To be eligible, participants must be citizens of the U.S. and have received their Ph.D., Sc.D., or equivalent within seven years of the date of application. For information, write to ONT Postdoctoral Program, Projects Office, ASEE, Eleven Dupont Circle, Suite 2000, Washington, DC 20036.

OTA Morris K. Udall Congressional Fellowship Program. The Office of Technology Assessment is seeking qualified candidates from academia, private industry, and the public sector for its Congressional Fellowship Program. Up to six Fellows will be selected for a 1-year appointment in Washington, DC beginning in September 1993. The program is open to men and women of all disciplines who have demonstrated exceptional competency in the physical or biological sciences, engineering, law, economics, environmental and social sciences, or public policy. Candidates must have completed research and training at the doctoral level, or have equivalent experience. Salaries will range from $35,000--$70,000 per year, based on the Fellow's current salary and/or training and experience. In some instances a Fellow may accept a salary supplement from his or her parent institution. Applications and letters of reference must be received by January 31, 1993. For application information, contact Morris K. Udall Congressional Fellowship, Personnel Office, Office of Technology Assessment, 600 Pennsylvania Ave., S.E., Washington, DC 20003; 202-224-8713.

President's Commission on White House Fellowships. The White House Fellowships offer outstanding Americans early in their careers the opportunity to serve for one year, September

through August, as special assistants to Cabinet Officers, to the Vice-President, or to members of the President's senior staff. The Fellowships are open to all U.S. citizens, with the exception of civilian employees of the Federal Government. Applications for the 1993-1994 Fellowships may be obtained from The President's Commission on White House Fellowships, 712 Jackson Place, N.W., Washington, DC 20503. Telephone 202-395-4522. The application deadline is December 15, 1992.

Purdue University. Research Assistant Professorship. These positions are intended for recent Ph.D.'s who can benefit from and contribute to an active research environment. Appointments are for the two academic years 1993-1995, and are nonrenewable. The normal teaching load is two courses per semester; there will be a one course reduction during the spring semester of 1994. Advanced courses are encouraged; the Department presently has 180 graduate students. The beginning academic year salary will be $37,500. In addition, a stipend of $7,500 will be available for research in residence during the summer of 1994. Candidates are expected to have a Ph.D. degree in mathematics prior to September 1993. Selection will be based primarily on outstanding research potential ir. an area where some interaction with present faculty seems likely. APPLICANTS MUST MENTION AT LEAST ONE PURDUE FACULTY MEMBER WITH WHOM THEY EXPECT TO HAVE INTERESTS IN COMMON. Applications, including a vita, brief description of research interests, and three letters of recommendation, one of which addresses teaching, should be sent to Leonard Lipshitz, Head, Department of Mathematics, Purdue University, West Lafayette, Indiana 47907-1395. The deadline for applications is January 18 1993. Purdue University is an Equal Opportunity/Affirmative Action Employer.

Rice University. Griffith Conrad Evans Instructorships. Postdoctoral appointments for two to three years for promising research mathematicians with research interests in common with the active research areas at Rice. Applications received by December 31, 1992 will receive thorough consideration. Rice University encourages applications from women and minority group members. Inquiries and applications should be addressed to Chairman, Evans Committee, Department of Mathematics, Rice University, Box 1892, Houston, Texas 77251.

• Rutgers, The State University of New Jersey. Department of Mathematics, New Brunswick, NJ, anticipates the following open positions beginning September 1992. Hill Assistant Professorships. These are three-year non-renewable positions. Candidates should have recently received the Ph.D., show outstanding promise in research ability in pure or applied mathematics, and have concern for teaching. Normal course load approx. 6 hours per semester but one course teaching reduction provided in two of the three years, resources permitting. Send resume and at least three letters of recommendation to Search Committee, Department of Mathematics, Rutgers


...................................................................................................... ill-illllllliiiiiiiiBHilllllll-illllllliiiiiiiiiiWW_!!lii .. illlli-?!!lii-Bti!H?????illlli ......

Stipends

University, New Brunswick, NJ 08903 as soon as possible. Indicate position desired and give # of your area of specialty according to AMS Mathematics Subject Classification. Rutgers University is an Equal Opportunity/Affirmative Action Employer.

Sigma Delta Epsilon, Graduate Women in Science. See the listing in the Graduate Support section for information.

Sloan Foundation. Research Fellowships. Unrestricted grants made to selected university scientists in the physical sciences, mathematics, applied mathematics, economics, and in neuroscience. Candidates must be members of the regular faculty, though not necessarily in a tenured position, at a recognized college or university in the United States or Canada. Candidates do not apply but are nominated by their department chairmen or other scientists. For information write to the Sloan Research Fellowships, Alfred P. Sloan Foundation, 630 Fifth Avenue, New York, New York 10111.

U.S. Department of Energy (DOE). Special UniversityLaboratory Cooperation. Participants engage in laboratoryapproved projects in a program designed to increase the interactions and flow of information between universities and DOE laboratories. Included is research in applied mathematics and computer science. Inquiries should be addressed to the Director at any of the following organizations: Associated Western Universities, 4190 South Highland Drive, Suite 211, Salt Lake City, UT 84124. Argonne Division of Education Programs, 9700 South Cass Avenue, Argonne, lllinois 60439; Brookhaven National Laboratory, Upton, New York 11973; Northwest College and University Association for Science (NORCUS), 390 Hanford St., Richland, Washington 99352-1620; Oak Ridge Associated Universities, P.O. Box 117, Oak Ridge, Tennessee37831-0117.

• U.S. Department of Health and Human Services, National Institutes of Health, supports postdoctoral training in specified areas of biomedical and behavioral research. Applicant must have earned an appropriate degree and arranged for appointment to an institution and acceptance by a sponsor who will supervise the training research experience. U.S. citizenship or lawful admittance to the U.S. for permanent residence is required. Announcements and application kits available from Office of Grants Inquiries, Division of Research Grants, National Institutes of Health, Bethesda, Maryland 20892. An enclosed self-addressed gummed mailing label will expedite handling.

University of California. President's Fellowship Program. The University of California offers postdoctoral fellowships to enhance the competitiveness of outstanding minority and women scholars for academic appointments at major research universities such as the University of California. Awards are for one academic year with the possibility of renewal for a second year pending demonstration of satisfactory progress. Stipends start at $26,000 plus health benefits and up to $4,000

for research expenses. Applicants must be U.S. citizens or permanent residents, and hold a Ph.D. degree from an accredited University. Preference is given to minority and women candidates historically underrepresented in higher education. Applications are encouraged from African-Americans, American Indians, Asian Americans, Filipinos, Mexican-Americans and Latinos, and from white women in Physical Sciences, Mathematics and Engineering. Further information and application materials may be obtained from: University of California, 300 Lakeside Drive, 18th Floor, Oakland, CA 94612-3550; 510-987-9500. Application and information materials will be available in the Fall. The application deadline is December 14, 1992. An Equal Opportunity, Affirmative Action Employer.

University of California, Los Angeles. Biostatistical Training in AIDS. See listing in the Graduate Support section for more information.

University of California, Los Angeles. Earle Raymond Hedrick Assistant Professorships in Mathematics. The Department of Mathematics, University of California, Los Angeles, announces the availability of two appointments for the year 1993-1994, subject to administrative approval. These awards will be made to mathematicians with recent Ph.D.'s who show strong promise in research. The appointment will be for three years, at an annual salary of $39,600 in the first year. The teaching load will be three hours per week for two quarters and six hours per week for one quarter. One course may be an advanced course in the candidate's research area. Requests for application forms should be sent by electronic mail to [email protected] or in writing to Thomas M. Liggett, Chair, Department of Mathematics, University of California, 405 Hilgard Avenue, Los Angeles, California 90024-1555, Attn: Staff Search. Preference will be given to applications completed by January 1, 1993. UCLA is an Equal Opportunity/Affirmative Action Employer.

University of California, San Diego. S. E. Warschawski Assistant Professorship. The S. E. Warschawski Assistant Professorship is a special two-year position. The nine-month salary is $40,000. Candidates (of any age) should possess a recent Ph.D. degree (received no earlier than 1990) in mathematics or expect to receive one prior to July 1993. All areas of specialization will be considered. Selection will be based primarily on demonstrated research achievement. Teaching experience is desirable. To apply, please submit your placement file including vitae and publications, and arrange for three letters of reference to be sent to the "Faculty Search Committee," Department of Mathematics, 0112, University of California, San Diego, 9500 Gilman Dr., La Jolla, California 92093-0112. Please indicate primary research area (field and #) using the AMS Mathematical Review Classification List. All applications received by January 4, 1993 will receive thorough consideration. All supporting material must be received no later than January 11, 1993. In compliance with the Immigration Reform and Control Act of 1986, individuals


-------- .............................. ._.-.. ._ ........................... _._ .................. _ ........................ -_ ............... _ .. ____ ...... . Stipends

offered employment by the University of California will be required to show documentation to prove identity and authorization to work in the United States before hiring can occur. UCSD is an equal opportunity/affirmative action employer.

University of Chicago. Assistant Professorships and Leonard Eugene Dickson Instructorships in Mathematics. The Dickson Instructorships are intended for new or recent Ph.D.'s. Appointment is for two years, with a possible third year renewal; annual salary of at least $38,500. The Assistant Professorships are intended for people with two or more years of postdoctoral experience. Appointment is for three years, salary is competitive. Application deadline is January 1, 1993. Further information and application forms may be obtained from the Appointments Secretary, Department of Mathematics, University of Chicago, 5734 S. University Avenue, Chicago, Illinois 60637.

University of Cincinnati. Charles Phelps Taft Postdoctoral Fellowships. These fellowships are intended to afford scholars who have demonstrated unusual ability for creative research the opportunity to enhance their education through additional study and research. Applicants must have been awarded the Ph.D. degree during the past five years or have completed all degree requirements by September 1 of the year in which the tenure will begin. Applications must include a research plan and the name of a University of Cincinnati faculty member, if known, with whom the applicant would like to study. Ten departments, including the Department of Mathematical Sciences, compete for three awards. Tenure is for one academic year and involves no teaching duties; however, teaching is allowed for additional compensation. The award carries an annual stipend of $25,000, plus moving expenses up to $500, and a research allowance of $1,000. Health insurance, single coverage, is included. Deadline is February 1, 1993. Inquiries should be sent to Taft Postdoctoral Fellowships, Mail Location 627, University of Cincinnati, Cincinnati, Ohio 45221. The deadline for the complete application is February 1.

University of lllinois at Urbana-Champaign. The Chancellor's Postdoctoral Fellowship Program. Purpose: To assist underrepresented minority faculty members in developing their careers as scholars. Awards: One year (possibly a second year) to promising applicants in all academic fields. Stipends: $25,000 and up, some transportation costs, health coverage funds, and some research-related expenses. Eligibility: U.S. citizens or permanent residents; appropriate terminal degree in hand or before appointment begins; preference to high achievers in disciplines of limited postdoctoral opportunities. Application: Curriculum vitae; sample publications, a dissertation or dissertation chapters; a statement of proposed research; a separate one-page statement of what is to be accomplished during the fellowship year; and letters of reference from three evaluators. Deadline: Application and letters by December 1, 1992; announcement of awards before March 25, 1993.

University of Michigan, Ann Arbor. Assistant Professorships and T. H. Hildebrandt Research Assistant Professorships. Designed to provide mathematicians with favorable circumstances for the development of their research talents. Preference is given to persons of any age having their Ph.D. less than two years. The teaching load is two courses per term for Assistant Professorships and one and one-half courses per term for the Hildebrandt Professorships. The stipend for the academic year 1993-1994 will be competitive and determined later; there is a good possibility of additional income during the summer. Appointments are for three years. NSF postdoctoral fellowships may be held simultaneously providing a reduction in teaching load. Applicants should submit completed application form and request at least three letters of recommendation. Letters should contain comments on applicant's mathematical promise, teaching ability, and personality. Applications should be accompanied by a research plan and an indication of senior faculty at Michigan with whom they have a common research interes.t and who might mentor them. First preference will be given to applications completed, and supported by three or more letters, prior to January 4. Applications should be made to D.J. Lewis, Chairman, Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1003. Affirmative Action Employer.

University of Pennsylvania. Hans Rademacher Instructorship. This post-doctoral position has been instituted in the Mathematics Department in honor of Hans Rademacher, a member of the department from 1934 to 1962. Appointment will be for two years, beginning July 1, 1993. Applicants should have received a Ph.D. in mathematics before start of the appointment, but no earlier than 1991, and are expected to show promise of significant accomplishment. The position carries a reduced academic year teaching load of one course each semester. Salary will be at least $34,000 and there is an additional discretionary research fund of $1,500. A letter of application, vitae and publications, and three letters of recommendation should be received by December 15, 1992. Write to: Personnel Committee, Department of Mathematics, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6395. The University of Pennsylvania is an Equal Opportunity/Affirmative Action Employer.

University of Texas at Austin. R H Bing Faculty Fellowships. Two Fellowships will be available at The University of Texas at Austin with terms beginning September 1, 1993. Each Fellow will hold an Instructorship in the Mathematics Department, with a teaching load of two courses in one semester and one course in the other. The beginning salary will be $36,000 with a travel supplement of $1,000 per year. The Fellowships are not renewable after three years. Applicants must show outstanding promise in research, and preference will be given to those having doctorates conferred in 1992 or 1993. There are no restrictions on applicants' fields of interest. To apply, send a vita and have three letters of recommendation submitted by January 1, 1993, to R H


...................................................................................................................................................................... ______ ~ Stipends

Bing Faculty Fellowships, Department of Mathematics, The University of Texas, Austin, Texas 78712.

• University of Utah. Instructorship in Mathematics. Two or more nonrenewable three-year Instructorships are offered. Persons of any age receiving Ph.D. degrees in 1992 or 1993 are eligible. Applicants will be selected on the basis of ability and potential in teaching and research. Starting salary will be $32,200; future cost of living increases are contingent on ~tction by the State Legislature. Duties consist of teaching five courses during the three quarter academic year. C.R. Wylie Instructorship. The term of this instructorship is one year, but it may be renewed for up to three years. It will be awarded either to an incoming Instructor or to one of the Instructors already in residence on the basis of ability and potential in teaching and research. The stipend is $36,200. Duties consist of teaching four courses during the three quarter academic year. Please send application to Instructorship Committee, Department of Mathematics, University of Utah, Salt Lake City, Utah 84112. Offers are expected to be made beginning January 1, 1993, but applications will continue to be accepted until all positions are filled. The University of Utah is an Equal Opportunity/Affirmative Action Employer and encourages nominations and applications from women and minorities.

Yale University. Josiah Willard Gibbs Instructorships/ Assistant Professorships. Offered to men and women with the doctorate who show deqnite promise in research in pure mathematics. Applications from women and members of minority groups are welcome. Appointments are for two/three years. The 1992-1993 salary is $37,500/$39,000, an increase is expected for 1993-1994. The teaching load is kept light to allow ample time for research. This will consist of three one-semester courses. Part of the teaching duties may consist of a one-semester course at the graduate level in the general area of the instructor's research. Inquiries and applications should be addressed to the Gibbs Committee, Department of Mathematics, Yale University, Box 2155 Yale Station, New Haven, Connecticut 06520. Deadline for applications and supporting materials is January 1, 1993.

Travel and Study Abroad The African-American Institute. Seeks to further African development and to strengthen understanding between the United States and Africa. For information about the several programs write the African-American Institute program representatives in twenty-two African countries, relevant Mrican ministries or universities, or the Division of Education, African-American Institute, 833 United Nations Plaza, New York, New York 10017.

American-Scandinavian Foundation. Grants and Fellowships for study or research in Scandinavia (Denmark, Finland, Iceland, Norway, and Sweden). Applicants must be U.S. citizens or permanent residents and have completed their

undergraduate education by the time the overseas project is to begin. Necessary language competence, financial need, and merit in pursuing the study program in Scandinavia are considered in making these awards. The deadline for completed applications is November 1. Write to the Exchange Division, The American-Scandinavian Foundation, 725 Park Avenue, New York, New York 10021.

Centro de Investigaci6n y de Estudios Avanzados del lPN. SolomonLefschetz Research Instructorships. Offered to young mathematicians with doctorates who show definite promise in research. Appointments are for one year with a possibility of renewal for another year. Salary equivalent to that of Assistant Professor in the Mathematics Department. An allowance for moving expenses. The principal duties will be to do research and to teach a graduate course in the area of your specialty. Knowledge of Spanish is desirable. Deadline for applications is February 28 but late applications may be considered. Inquiries should be addressed to: Solomon Lefschetz Instructorships, Mathematics Department, Centro de Investigaci6n del lPN, Apartado Postal14-740, 07000, Mexico, D.F., Mexico, Phone (011-525) 754-4466, Telex 017-72826 PPTME, Fax (011-525) 752-64-12; Bitnet CINVES@UNAMVMl.

Winston Churchill Foundation. A scholarship program for graduate work in engineering, mathematics and science at Churchill College, Cambridge University. Tuition and living allowance worth approximately $18,000. Application forms are available from representatives on campuses of colleges and universities participating in the program. For further information write to The Winston Churchill Foundation, P.O. Box 1240, Gracie Station, New York, New York 10028.

Lady Davis Fellowship Trust. Fellowships for study and/or research at graduate or postdoctoral levels at the Hebrew University of Jerusalem and the Technion-Israel Institute of Technology, Haifa. Lady Davis Fellows will be selected on the basis of demonstrated excellence in their studies, promise of distinction in their chosen fields of specialization and qualities of mind, intellect, and character. The Fellowships are tenable for a period of one year. They may be renewed for a second year and in special circumstances extended for a third year. They are intended to defray travel and tuition fees and to meet reasonable living expenses. Only students who are enrolled in a Ph.D. program overseas are eligible applicants for the Fellowship at the Hebrew University. Applicants for the Technion must have completed their studies with excellent marks. Postdoctoral candidates to the Hebrew University may apply not later than 3 years after completion of their doctoral dissertation. Deadline for completed applications is December 1, 1992. Application forms can be obtained from the Lady Davis Fellowship Trust, P.O. Box 1255, Jerusalem, Israel.

Lady Davis Visiting Professorships. Lady Davis Visiting Professorships, for periods from one semester to a full academic year, are intended for candidates with the rank of Full or Associate Professor at their own institution. Such


························-·······-···- ···················-········-·······--····---·····-······················· .... ················-·······························--------·························-·······--············---······- ···················-·········-·- ·················-···················· .......................................... .

Stipends

Visiting Professors are appointed after consultation with the appropriate Faculties of the Hebrew University of Jerusalem or the Technion-Israel Institute of Technology, Haifa. The grant includes a professorial salary and cost of travel. Deadline for completed applications is December 1, 1992. Application forms can be obtained from the Lady Davis Fellowship Trust, P.O. Box 1255, Jerusalem, Israel.

Fulbright-Hays Program. Fulbright and Other Grants for Graduate Study Abroad. For graduate study or research in any field in which the project can be profitably undertaken abroad. Applicant must be a U.S. citizen, hold a B.A. degree or the equivalent, and have language proficiency sufficient to carry out the proposed study and to communicate with the host country. If an applicant is already enrolled in a U.S. university, he must apply directly to the Fulbright Program Adviser on his campus. Unenrolled students may apply to the Institute of International Education. Further details may be obtained from the U.S. Student Programs Division, Institute of International Education, 809 United Nations Plaza, New York, New York 10017, 212-984-5330.

Fulbright Teacher Exchange Program. Opportunities Abroad. Opportunities are available for college faculty and secondary/elementary level teachers and administrators to attend seminars and teach in schools/colleges abroad. Eligibility requirements: 1). U.S. citizenship, 2). Bachelor's degree, 3). Three years of full-time teaching experience for teaching positions, two years of full-time teaching experience for seminar positions, 4). Current full-time employment in appropriate subject areas and at appropriate teaching level, and 5). Foreign language fluency for teaching positions in select non-speaking countries (indicated by* below). Under this program, U.S. and foreign educators exchange teaching positions for one academic year (semester-long and six week programs in Argentina and Mexico, respectively). Exchanges exist between the U.S. and *Argentina, *Belgium, Bulgaria, Canada (*Quebec), *Chile, *Colombia, Cyprus, Czech and Slovak Federal Republic, Denmark, Egypt, Estonia, Finland, *France, *Germany, Hungary, *Italy, Latvia, Lithuania, *Luxembourg, *Mexico, *Morocco, Netherlands, Norway, Poland, Portugal, Romania, *Russia, *Senegal, South Africa, *Switzerland, Turkey, Ukraine, and the United Kingdom. In most instances, exchange teachers continue to receive their salaries from their home institutions. A grant to teach abroad may include round-trip transportation for the participants (except Canada, Switzerland, U.K.). Applications must be postmarked by October 15 for the following summer or academic year's Program. The application packet should be requested from Fulbright Teacher Exchange Program, USDA Graduate School, 600 Maryland Ave., S.W., Room 142, Washington, DC 20024; 800-726-0479.

Alexander von Humboldt Foundation. Research Fellowships. Provides postdoctoral scholars with the opportunity of carrying out research at a university or other research institute within the Federal Republic of Germany. Scholars

of all nationalities and disciplines may apply. Selection is based exclusively on academic merit. Applicants must have completed their academic studies, have evidence of a degree equivalent to the doctorate (Ph.D., C.Sc., etc.}, have scholarly publications, and for research in the humanities, have adequate knowledge of German. Period of fellowship: 6 to 12 months (extension possible up to 24 months). Applications may be obtained from and returned directly to the Alexander von Humboldt-Stiftung, Jean-Paul-Strasse 12, D-5300 Bonn 2, Federal Republic of Germany. Additional scholarships for a German language course are available.

• Indo-American Fellowship Program. Approximately 12 grants to be awarded to U.S. citizens for advanced research in India, for six- to ten-month periods during the academic year. In addition to a basic grant there are travel, dependent and research allowances. Also up to nine shorter grants (two- to three-months) for research and/or professional activity. Applications are encouraged from non-Indian specialists and for projects which include collaboration with Indian colleagues. Deadline for applications June 15 each year. For details write the Council for International Exchange of Scholars, Attention: Indo-American Fellowships Program, 3400 International Drive, N.W., Suite M-500, Washington, DC 20008-3097.

International Research and Exchanges Board (IREX). IREX administers academic exchange programs, open to advanced graduate students, postdoctoral scholars, and faculty members in all fields of study who are United States citizens, and who are affiliated with a North American college or university. Exchange agreements are in effect with Bulgaria, Czechoslovakia, the German Democratic Republic, Hungary, the Mongolian People's Republic, Poland, Romania, Yugoslavia, and the USSR. Placements are made for one to ten months at universities or academy institutes. For more detailed information, write to the International Research & Exchanges Board, 126 Alexander Street, Princeton, NJ 08540-7102; 609-683-9500; FAX: 609-683-1511.

Italian National Research Council Fellowships. The Italian National Research Council (Consiglio Nazionale delle Ricerche) will offer, in 1993, some fellowships for foreign mathematicians. The stipend is 2,200,000 Italian lire per month, for a maximum of twelve months, plus travel expenses to and from the country of residence. Prospective applicants may write for details to: Prof. Carlo M. Scoppola, C.N.R., via Santa Marta 13A, 50139 Firenze, Italy, including short information about their curriculum and their proposed research program, as well as the name(s) of the Italian mathematician(s) they would like to work with. A copy of the application form will be sent when the scholarships are officially announced.

• Japan Society for the Promotion of Science (JSPS). The JSPS Fellowship for Research in Japan was established in 1959 to promote international cooperation and mutual understanding in scientific research, and is operated under a Japanese government subsidy. The program presupposes ex-


Stipends

isting contact between scientists in Japan and their fellow scientists overseas, a condition considered auspicious for future scientific cooperation and exchange. The JSPS sponsors three types of Research Fellowship Programs for the invitation of foreign researchers by Japanese scientists. Type I Short-Term Program: To invite senior and junior scientists for discussion and observation, as well as attending seminars and giving lectures, etc. Duration 14-90 days. Type II Long-Term Program (Senior): To invite senior scientists for cooperative research work with scientists at Japanese universities or research institutes. Duration 6-10 months. Type III Postdoctoral Fellowships Program: To invite postdoctoral researchers for cooperative research work at Japanese universities or research institutes. Duration 12 months. Enquiries should be addressed to: Head, Exchange of Persons Division, Japan Society for the Promotion of Science, Yamato Bldg, 5-3-1 Kojimachi, Chiyoda-ku, Tokyo 102, Japan.

Kosciuszko Foundation. Graduate and Postgraduate Exchange with Poland. Open to U.S. graduate students who have a knowledge of the Polish language. Students receive tuition, housing, and a monthly stipend for living expenses. Transportation to and from Poland is at the expense of the participant. Apply by January 15 for the following academic year. Write to Kosciuszko Foundation, Domestic Grants Office,15 East 65th Street, New York, New York 10021.

Marshall Scholarships. Up to forty scholarships are offered by the British Government to U.S. graduates; tenable at any university in the United Kingdom. Recipients of awards are required to take a degree at their British university. Fields unrestricted. Deadline: October 12; to commence the following September; Age Limit: 25 years. Apply through British Consulates-General in the following regions (1) Northeast: Federal Reserve Plaza, 25th Floor, 600 Atlantic Avenue, Boston, Massachusetts 02210; (2) Mideast: British Embassy Cultural Dept.,3100 Massachusetts Avenue, N.W., Washington, DC 20008; (3) South: Marquis One Tower, Suite 2700, 245 Peachtree Center Avenue, Atlanta, Georgia 30303; (4) Midwest: 33 North Dearborn Street, Chicago, Illinois 60602; (5) Pacific: 1 Sansome Street, San Francisco, California 94104.

National Academy of Sciences (NAS). Individual Exchange and Project Development Visits. The NAS invites applications from American scientists who wish to make visits or to host foreign scientists from the former Soviet Union, Bulgaria, Czechoslovakia, Hungary, Poland, Romania, and Yugoslavia. The program of individual exchanges will support one- to 6-month research visits during calendar year 1994. The program of two-week project development visits will support two cycles of visits: January through June 1993 and July through December 1993. Applicants for the project development visits need to demonstrate that a joint proposal for collaborative research will be prepared during their visit for submission to the National Science Foundation for funding. There is special emphasis on young investigators in each program.

Applicants must be U.S. citizens and have doctoral degrees or their equivalent six months prior to the requested beginning date of their visit in physics; chemistry; mathematics and computer sciences; earth, atmospheric, and oceanographic sciences; agricultural, forestry, fishery, and plant sciences; biological sciences; environmental sciences; engineering; archaeology and anthropology; geography; psychology; science and technology policy; or the history and philosophy of science. Projects in the economic and social sciences that involve development of new analytical methodologies will be considered on a case-by-case basis. Requests for applications for the first round of the project development visits should reach the National Academy of Sciences no later than September 15, 1993. Applications for this program must be postmarked no later than September 30, 1993. Applications for long-term individual exchanges (1-6 months) to travel or host in 1994 will be available in late October 1992. Requests for applications for the second round of the project development visits should reach the National Academy of Sciences no later than February 14, 1993. Applications for this program must be postmarked by February 28, 1993. Address application requests to: Office for Central Europe and Eurasia, National Academy of Sciences, 2101 Constitution Ave., N.W., Washington, DC 20418.

National Science Foundation. Travel awards for U.S. citizens (or permanent resident aliens) who are either predoctoral students or individuals who have held a doctoral degree for three years or less as of the starting date of the Institute, to attend North Atlantic Treaty Organization (NATO) Advanced Study Institutes in Europe. Applications are made to the appropriate NATO Institute Director who nominates eligible candidates. Information may be obtained by writing to the Advanced Institute Travel Awards Program, Division of Research Career Development, National Science Foundation, Washington, DC 20550; 202-357-7536.

• National Science Foundation (NSF). The International Division of the National Science Foundation supports projects involving U.S. scientists and engineers cooperating with those of other countries in mutually beneficial research, education, and related activities. Support is available for the following activities: (1) Cooperative research projects designed and conducted jointly by principle investigators from the United States and the foreign country. Deadlines for cooperative research vary widely according to the country program. Joint submissions of parallel proposals to NSF and to a counterpart agency in the foreign country are often required. (2) Long and medium term research visits for younger researchers of three to twelve months duration to foreign centers of excellence. Applications for this program must be submitted by November 1. (3) Research oriented seminars or workshops to exchange information, review the current status of a specific field of science or engineering, and plan cooperative research. Meetings of small groups of researchers are encouraged to increase communication; workshops for the most part are bilateral in nature and jointly organized by the U.S. investigator


........................................................................................ _ ..... 1ll!llllllll _________ ..................... _, ............................ _ ..... ___ .................................... ---····-···---···-·-·-·-··

Stipends

and a foreign counterpart. (4) Short-term visits for planning cooperative activities, including workshops. This last category is not supported by the Western Europe programs but otherwise is supported by several programs, including Latin America, Southeast Asia, and the USSR. Specific information about country programs, including guidelines, deadlines, and special forms may be obtained by writing to the Division of International Programs, National Science Foundation, Washington, DC 20550; or by calling the following numbers: Western Europe programs 202-357-7554; Latin America programs 202-357 -9564; Southeast Asia and Pacific programs (excluding the Japan programs) 202-357-7393; Japan programs 202-357-9558; Asia and Africa programs 202-357-9550; Eastern Europe and USSR programs 202-357-7494. In addition, all program officers may be reached via fax at 202-357-5839 or by email via Internet at [email protected] or through Bitnet at int@nsf.

Natural Sciences and Engineering Research Council of Canada. Visiting Fellowships. The Government of Canada offers Fellowships on behalf of the following Canadian Government Departments and Agencies: Agriculture Canada; Canadian Space Agency; Communications Canada; National Defence; Energy, Mines and Resources Canada; Environment Canada; Fisheries and Oceans; Foresty Canada; Health and Welfare Canada; National Research Council Canada; Transport Canada; Public Service Commission; AECL Research; Canadian Museum of Nature. The annual value of the fellowships is $34,159 effective April1, 1992, subject to Canadian income tax. The initial appointment is for one year, with a possibility of renewal for a second year. The applicant should hold a recent doctoral degree (within the last five years) or its equivalent, plus appropriate research experience. The closing date for applications is November 15 each year. Write to the Visiting Fellowships Office, Natural Sciences and Engineering Research Council of Canada, 200 Kent Street, Ottawa, Ontario, Canada K1A 1H5. .

North Atlantic Treaty Organization. The NATO Science Committee has a Programme of Grants for Collaborative Research which provides financial aid for research projects aimed at stimulating, encouraging, and facilitating scientific research in collaboration between scientists working in different member countries of the Alliance, thus promoting the flow of ideas and of experimental and theoretical methods across frontiers. Projects are supported for a limited period usually not exceeding five years, covering mainly travel and living expenses abroad for principal investigators visiting partner laboratories or for staff members collaborating on specific projects with laboratories abroad. Deadlines for applications are 31 March, 15 August and 30 November. Application forms and details of the awards together with infotmation about the Science Committee's other programmes can be obtained from: Scientific Affairs Division, NATO, B-1110 Brussels, Belgium.

North Atlantic Treaty Organization. Postdoctoral Fellowships in Science and Engineering. Awarded for a tenure of 6 to 12 months, for scientific study or work at appropriate nonprofit institutions in NATO countries, other than the U.S .. This program is for citizens or nationals of the U.S. or permanent resident aliens of the United States at time of application. Fellows receive a stipend of $31,200 for twelve-month tenure, plus dependency and travel allowances. Application deadline is approximately November 2, 1992. Applications will be available in late August 1992. For information and application material, write to NATO Program, Division of Research Career Development, National Science Foundation, Washington, DC 20550.

• Research Fellowships in India. The Council for International Exchange of Scholars has announced the availability of twelve long-term (6-10 months) and nine short-term (2-3 months) awards for research in India during 1992-1993. These grants are available in all academic disciplines except clinical medicine. The purpose of the program is to open new channels of communication between academic and professional groups in the U.S. and India and to encourage a wider range of research activity between the two countries than currently exists. Scholars and professionals with limited or no prior experience in India are especially encouraged to apply. Applicants must be U.S. citizens at the postdoctoral or equivalent level. The terms of the fellowships include $1500 per month, of which $350 per month is payable in dollars and the balance in rupees, and an allowance for books, study and travel in India, and international travel for the grantee. Long term grantees receive additional allowances, including funds for dependents. The program is sponsored by the Indo-U.S. Subcommission on Education and Culture and is funded by the United States Information Agency, the National Science Foundation, the Smithsonian Institution, and the Government of India. The application deadline is June 15, 1992. Application forms and further information are available from: Council for International Exchange of Scholars, Attn: Indo-American Fellowship Program, 3400 International Drive, Suite M-500, Washington, DC 20008-3097; 202-686-4013.

Royal Norwegian Council for Scientific and Industrial Research. Postdoctoral Fellowships. Fields: engineering and applied sciences. Studies can be carried out at the Universities of Oslo, Bergen, Trondheim or Tromsf/.1, and at institutes for applied research in the same areas. English may be used at all institutes. Deadline is September 1 and March 1. Write to Royal Norwegian Council for Scientific and Industrial Research, P.O. Box 70, Tasen, 0801 Oslo 8, Norway.

Social Sciences Research Council. International Dissertation Research Fellowship Program. The program provides support to advanced doctoral candidates at U.S. universities for dissertation research in Africa; the Near and Middle East; East, South, and Southeast Asia; Western Europe; Latin America, and the Carribbean. Full information on this program may be obtained by writing to the Social Science Research Council,


HO ~~~~>II" ···----111111111--li-li~-~~------'~ H···----~·--······ Stipends

Fellowships and Grants, 605 Third Avenue, New York, New York 10158.

Weizmann Institute of Science. Feinberg Graduate School Postdoctoral Fellowships. The Fellowships are intended mainly for scientists who have recently obtained their Ph.D. degree. The Fellowships provide a 12-month stipend (with possible renewal for a second year), a small relocation allowance and a one-way air ticket. Round-trip airfare is provided if the Fellowship is extended for a second year. The annual stipend is adjusted periodically in accordance with living costs. Application forms and additional information may be obtained from the Feinberg Graduate School, The Weizmann Institute of Science, P.O. Box 26, Rehovot 76100, Israel. The review of applications is held twice a year, on January 1 and May 15.

Weizmann Institute of Science. Openings for Scientists. The Weizmann Institute of Science is now offering a limited number of temporary appointments to the position of Scientist. Candidates must have completed two years of postdoctoral work. Appointments will be made in all the areas of scientific research at the Institute: Biology, Chemistry, Biochemistry-Biophysics, Physics, Mathematics, and Science teaching. Appointments are for a period of one year, however, they may be extended for a period not to exceed 5 years from receipt of Ph.D. degree (or equivalent). Successful appointees will be eligible to apply for promotion to the position of Senior Scientist. Financial renumeration for a Scientist is at the level of Lecturer and includes all of the associated benefits. In addition, a relocation stipend is provided. Applications and additional information may be obtained from The Feinberg Graduate School, The Weizmann Institute of Science, Rehovot, 76100 Israel. Applications are reviewed each year on January 1 and May 15.

Study in the U.S. for Foreign Nationals Many of the programs in the Graduate Support and Postgraduate Support sections are also applicable to Foreign Nationals.

American-Scandinavian Foundation. Scandinavian scholars are awarded graduate fellowships to study in the U.S. For information write to the appropriate society in Scandinavia cooperating with The American-Scandinavian Foundation (Danmark-Amerika Fondet, Dronningens Tvaergade 44, DK-1302, Copenhagen K, Denmark; Suomi-Amerikka Yhdistysten Liitto, Mechelininkatu 10, SF-001 00 Helsinki, Finland; fslenzk-Amerfska Felagid, P.O. Box 7051, Reykjavfk, Iceland; Norge-Amerika Foreningen, Drammensveien 20C, 0255 Oslo 2, Norway; Sverige-Amerika Stiftelsen, Box 5280, S-102 46 Stockholm, Sweden), or to the Exchange Division, The American-Scandinavian Foundation, 725 Park Avenue, New York, New York 10021.

American Association of University Women (AAUW) Educational Foundation. International Fellowships. These

are awarded to women of outstanding academic ability, who are not citizens or permanent residents of the U.S., for full-time graduate or post-graduate study in the U.S. Applicants must hold the equivalent of a U.S. bachelor's degree by December 1. Upon completion of studies, fellowship recipients must return to their home countries to pursue professional careers. Previous and current recipients of AAUW fellowships are not eligible. The fellowships provide $14,000 each. The deadline is December 1. For more information, contact: AAUW Educational Foundation, International Fellowships, 111116th St., NW, Washington, DC 20036; 202-728-7603.

Fulbright Program. Grants under the Fulbright Act for study, research, teaching, and lecturing in the United States are available to nationals of many countries. Information regarding these opportunities may be secured from the Cultural Affairs Officer of the United States Embassy or from the binational Educational Commission or Foundation if there is one in the inquirer's own country. The number of grants for each academic year will depend on funds available.

Institute of International Education. Grants for study, training and research in the U.S. Open to nationals of most countries. IIE develops and administers exchange programs for a number of organizations and corporations, and administers U.S. Government grants under the Fulbright and other educational exchange programs of the U.S. Information Agency. Information regarding these opportunities may be secured from the Cultural Affairs Officer of the U.S. Embassy or from the Binational Commission or Foundation if there is one in the inquirer's own country.

Kennedy Scholarships. For citizens of the United Kingdom, these grants are for postgraduate study at Harvard University or the Massachusetts Institute of Technology. Application deadline is October 28. Write to Secretary, Kennedy Memorial Trust, 16 Great College Street, London SWIP 3RX, England.

Kosciuszko Foundation. One-year grants to doctoral and postdoctoral students. Applicants must be Polish citizens and have excellent command of English. The Foundation provides a cost-of-living stipend, which includes housing, accident insurance, incidental costs of books, copying charges, and when warranted, transatlantic and domestic transportation. Apply by October 15 for the following academic year. Write to Scholarship and Exchange Programs, the Kosciuszko Foundation, 15 East 65th Street, New York, New York 10021.

Sources of Fellowship Information

Some of the publications listed below are available at school, or college and university libraries, or in the reference room of a good public library.

Academic Year Abroad. Sara Steen (ed.). Describes over 2000 study-abroad programs, both undergraduate and graduate, conducted during the academic year in countries around the world. Information on courses, costs, credits, housing,


--------·········""""""""""""""""""' Stipends

scholarships, and language of instruction. 1992/93. Annual. $39.95 (plus $3.00 postage and handling). liE Books, Institute of International Education, 809 United Nations Plaza, New York, New York 10017.

American Association of University Women Educational Foundation. American Fellowships, Selected Profession Fellowships, and Career Development Grants. Programs Office, 111116th St., N.W., Washington, DC 20036, or call202-785-7700 and ask for the foundation.

Annual Register of Grant Support, 1993. R.R. Bowker, A Reed Reference Publishing Company, 121 Chanlon Rd., New Providence, NJ 07974. Directory of fellowships, grant support programs of government agencies, foundations, corporations and business and professional organizations. Annual. $165.00 plus $6.75 postage and handling.

Basic Facts on Foreign Study. A fact sheet on what to expect from a study-abroad program and where to find pertinent information; 1992, 40 pp.; single copies free, $35 per 100 plus $3.00 shipping and handling. liE Books, Institute of International Education, 809 United Nations Plaza, New York, New York 10017.

Chronicle Career Index. Lists about 2,050 private and governmental financial aid programs for postsecondary study. Order#502A, ISBN 1-55631-169-9,$19.95. Chronicle Guidance Publications, Inc., 66 Aurora Street, P.O. Box 1190, Moravia, New York 13118-1190.

Chronicle Financial Aid Guide, 1992/93. Catalog No. 502A. $19.97 plus $2.00 postage and handling. (Price subject to change after January 1, 1993.) Revised annually. Chronicle Guidance Publications, Inc., 66 Aurora Street, P.O. Box 1190, Moravia, New York 13118-1190. Provides information on over 2,000 financial aid programs available to undergraduate, graduate, and postgraduate students, including programs sponsored by private organizations and foundations, state and federal government sources, and national and international labor unions, both AFL-CIO affiliated and independent. A Subject Index to Programs gives easy access to programs for which a student may be eligible. A bibliography of resources is also listed.

Chronicle Four-year College Databook. Lists 2,093 colleges and 928 majors. Data covered include degrees, accreditation, enrollment, admissions, costs, and aid. Order #502CM4, ISBN 1-55631-168-0. Chronicle Guidance Publications, Inc., 66 Aurora Street, P.O. Box 1190, Moravia, New York 13118-1190.

Chronicle Two-year College Databook. Provides information on 2,340 colleges, 999 occupational-career programs, nondegree and degree programs, accreditation, enrollment, admissions, costs, and financial aid. Order #502CM2, ISBN 1-55631-167-2, $19.96. Chronicle Guidance Publications,

Inc., 66 Aurora Street, P.O. Box 1190, Moravia, New York 13118-1190.

Directory of Computer and High Technology Grants. Richard M. Eckstein, Publisher. This directory lists 640 funding sources for computers, software, and high-tech related grants and provides extensive profiles on foundations, corporations, and federal programs. First Edition cost is $44.50 (add $4.00 for handling). Research Grant Guides, Dept. 4B, P.O. Box 1214, Loxahatchee, FL 33470; 407-795-6129.

Directory of Graduate Programs, 13th Edition. Four volumes categorized by discipline, $17.00 each. Volume A: Natural Sciences, or Volume B: Engineering • Business. Educational Testing Service, P.O. Box 6014, Princeton, New Jersey 08541-6014.

Directory of Special Programs for Minority Group Members. Career Information Services, Employment Skills Banks, Financial Aid Sources (5th Edition, 1990, 348 pages), Garrett Park Press, Garrett Park, Maryland 20896. $30.

Financial Aid for Minorities in Engineering and Science. Financial assistance, scholarship and fellowship programs, resources for further information, 1991, Garrett Park Press, P.O. Box 190, Garrett Park, MD 20896. $4.95.

Financial Resources for International Study. A definitive guide to organizations offering awards for overseas study. Comprehensive listing of financial aid awards for U.S. nationals who wish to study abroad. Covers grants and awards for undergraduate, graduate, and postgraduate, as well as working professionals; includes eligibility considerations and application deadlines. Indexed by awards, field, and level of study. A Peterson's publication developed in conjunction with the Institute of International Education. Peterson's Guides, Box 2123, Princeton, NJ 08543-2123 (800-EDU-DATA). 250 pp. book. $36.95 plus $5.75 shipping.

The Foundation Center. The Foundation Center, 79 Fifth Avenue, New York, New York 10003, provides free library service through over 180 libraries across the country and publishes information about U.S. foundations and the grants they award, including the biennial publication, Foundation Grants to Individuals, (7th edition, 1991, $40). Call toll-free 800-424-9836 for further information.

• Fulbright Scholar Program Grants for Faculty and Professionals: Research and Lecturing Awards. (Current Edition) Available from the Council for International Exchange of Scholars, 3007 Tilden St., N.W., Suite M-500, Washington, DC 20008-3009; 202-686-4000.

Fulbright and Other Grants for Graduate Study Abroad. List of grants for graduate study and research abroad, administered by the I.I.E. for U.S. citizens. Request copy of brochure


alillalill@ilmN!ilWOO\iili!BIRB~W%_!--_~iiii ··-· ........ .

Stipends

from U.S. Student Programs, Institute of International Education, 809 United Nations Plaza, New York, New York 10017, 212-984-5330.

Graduate School and You: A Guide for Prospective Graduate Students. Council of Graduate Schools, 2nd Edition, 1991. Available from the Council of Graduate Schools, 1 Dupont Circle, N.W., Suite 430, Washington, DC 20036-1173, or call 202-223-3791. This publication is $2.50. It can be obtained by sending a check for that amount with a request for the booklet.

The Grants Register. 1993-1995. Lisa Williams, (ed.), St. Martin's Press, 175 Fifth Avenue, New York, New York 10010. Lists scholarships, fellowships, and grants at all levels of graduate study, all over the world, available from government agencies and international, national and private organizations. List Price $89.95. Biennial.

International Research and Exchanges Board (IREX). Programs administered by IREX include exchanges for two weeks to an academic year with the former republics of the Soviet Union, Albania, Bulgaria, Czechoslovakia, Hungary, Poland, Romania, the former Yugoslav republics, and Mongolia, grants to promote new exchanges, collaborative projects in the social sciences and humanities, developmental fellowships, short-term travel grants, and language programs. The IREX programs provide access at the predoctoral and postdoctoral levels to East European and former Soviet universities and academies of sciences. For a program announcement describing the full range of IREX programs, write to the International Research & Exchanges Board, 126 Alexander Street, Princeton, New Jersey 08540-7102; 609-683-9500; FAX: 609-683-1511.

Office of Naval Research. Supports research over a wide range of areas including applied mathematics, numerical analysis, discrete mathematics, operations research, signal analysis, statistics and probability. Proposals for research grants and requests for information on ONR Programs should be addressed to: Mathematical Sciences Division, Office of

Naval Research, Arlington, Virginia 22217-5000. Information on ONR Fellowships is available from the Special Programs Office at the same address.

Study Abroad, XXVII, 1992-1994. Presents study programs world-wide for the years 1988-1993. Approximately 4,000 entries for more than 100 countries are included, covering a wide variety of fields. Trilingual (English/French/Spanish). 1,350 pp, pbk, 22cm x 11.5cm, $24.00, Order No. U7154. Contact UNIPUB, 4611-F Assembly Drive, Lanham, MD 20706-4391, (301) 459-7666; in Europe, UNESCO, Place de Fontenoy, Paris 7, France.

U.K. Central Bureau Publications. The Central Bureau is the agency funded by the education ministries of the U.K. to provide the most-needed information on international education. liE is the U.S. distributor for the two Central Bureau books most widely used by U.K. students, librarians and campus professionals in planning study and work abroad. liE Books, Institute of International Education, 809 United Nations Plaza, New York, NY 10017.

U.S. Information Agency (USIA). For information on USIA's international educational and cultural exchange programs, including the Fulbright Program, write the Office of Public Liaison, U.S. Information Agency, 301 Fourth Street, S.W., Washington, DC 20547.

Vacation Study Abroad. Sara Steen (ed.). A guide to over 1,400 summer and short-term study programs conducted around the world by U.S. colleges and universities, foreign institutions, and private organizations. Contains information on courses, costs, scholarships, and accommodations. 1992. Annual. $31.95 (plus $3.00 postage and handling). liE Books, Institute of International Education, 809 United Nations Plaza, New York, New York 10017.

Work, Study, Travel Abroad: The Whole World Handbook 1992/1993. $12.95 plus $1.50 postage and handling. CIEE Publications, 205 East 42nd Street, New York, NY 10017.


··········-········-······ ------------------~---·

Classified Advertisements SUGGESTED USES for classified advertising are positions available, books or lecture notes for sale, books being sought, exchange or rental of houses, and typing services.

THE 1992 RATE IS $60 per inch on a single column (one-inch minimum), calculated from the top of the type; $30 for each additional 1h._ inch or fraction thereof. No discounts for multiple ads or the same ad in consecutive issues. For an additional $10 charge, announcements can be placed anonymously. Correspondence will be forwarded.

Advertisements in the "Positions Available" classified section will be set with a minimum one-line headline, consisting of the institution name above body copy, unless additional headline copy is specified by the advertiser. Advertisements in other sections of the classified pages will be set according to the advertisement insertion. Headlines will be centered in boldface at no extra charge. Classified rates are calculated from top of type in headline to bottom of type in body copy, including lines and spaces within. Any fractional text will be charged at the next Ih._ inch rate. Ads will appear in the language in which they are submitted.

Prepayment is required of individuals but not of institutions. There are no member discounts for classified ads. Dictation over the telephone will not be accepted for classified advertising.

DEADLINES are listed on the inside front cover or may be obtained from the AMS Advertising Department.

U. S. LAWS PROHIBIT discrimination in employment on the basis of color, age, sex, race, religion or national origin. "Positions Available" advertisements from institutions outside the U. S. cannot be published unless they are accompanied by a statement that the institution does not discriminate on these grounds whether or not it is subject to U. S. laws. Details and specific wording may be found near the Classified Advertisements in the January and July/August issues of the Notices.

SITUATIONS WANTED ADVERTISEMENTS from involuntarily unemployed mathematicians are accepted under certain conditions for free publication. Call toll-free 800-321-4AMS (321-4267) in the U.S. and Canada for further information.

SEND AD AND CHECK TO: Advertising Department, AMS, P. 0. Box 6248, Providence, Rhode Island 02940. AMS location for express delivery packages is 201 Charles Street, Providence, Rhode Island 02904. Individuals are requested to pay in advance, institutions are not required to do so. AMS FAX 401-455-4004.

POSITIONS AVAILABLE

ARIZONA

UNIVERSITY OF ARIZONA Department of Mathematics

Tucson, AZ 85721

The Mathematics Department at the University of Arizona will have tenure-track and postdoctoral positions available beginning Fall1993.

Tenure-track positions. Excellent research record or potential, strong commitment to teaching required. Fields should complement but not duplicate existing department research strengths in arithmetic geometry, computational science, dynamical systems, differential geometry, nonlinear science, and number theory.

Postdoctoral Fellowships (Research Associates). Applicants with strengths in all areas compatible with department interests are encouraged to respond. In addition, special Center of Excellence Awards in nonlinear optics and fluid mechanics are available.

The Mathematics Department may also have several visiting positions for next year.

We encourage early application. Deadline date will be December 15, 1992, or whenever positions are filled. Women and minority applicants are especially welcome. Send application, which should include a letter of interest, curriculum vitae with a list of publications, and a minimum of three (3) letters of recommendation (enclose or arrange to be sent) to:

986

Personnel. Committee Department of Mathematics University of Arizona Tucson, Arizona 85721, U.S.A.

The University of Arizona is an Affirmative Action/Equal Opportunity Employer.

CALIFORNIA

UNIVERSITY OF CALIFORNIA, LOS ANGELES

Department of Mathematics

TEMPORARY POSITIONS Subject to availability of resources and

administrative approval: (1) Two E. R. Hedrick Assistant Profes

sorships. Applicants must show very strong promise in research and teaching. Salary $39,600. Three year appointment. Teaching load: four quarter courses per year, which may include one advanced course in the candidate's field. Preference will be given to applications completed by January 1, 1993.

(2) Several Research Assistant Professorships in Computational and Applied Mathematics. Applicants must show very strong promise in research and teaching. Salary $39,600. One year appointment, probably renewable up to two times. Teaching load: at most four quarter courses per year, which may include one advanced course in the candidate's field. Preference will be given to applications completed by January 1, 1993.

(3) One or two Adjunct Assistant Professorships in the Program in Computing (PIC). Applicants must show very strong promise in teaching and research, preferably in an area related to computing. Teaching load: four quarter programming courses and an advanced quarter course of the candidate's choice per year. One year appointment, probably renewable once.


Salary range $39,60Q-$47,000. Preference will be given to applications completed by February 1, 1993.

(4) A Lectureship in the Program in Computing (PIC). Applicants must show very strong promise in the teaching of programming. M.S. in Computer Science or equivalent degree preferred. Teaching load: six quarter programming courses per year. One-year appointment, probably renewable one or more times, depending on the needs of the program. Salary is based on experience and begins at $34,248. Preference will be given to applications completed by February 1, 1993.

(5) A few Adjunct Assistant Professorships. One year appointments, probably renewable once. Strong research anc;f teaching background required. Salary $35,900-$40,500. Teaching load: five quarter courses per year.

(6) Several positions for visitors. To apply, send electronic mail to search@

math.ucla.edu OR write to Thomas M. Liggett, Chair, Department of Mathematics, University of California, Los Angeles, CA 90024-1555. Attn: Staff Search. UCLA is an equal opportunity/affirmative action employer.

UNIVERSITY OF CALIFORNIA, LOS ANGELES

Department of Mathematics

REGULAR POSITIONS IN PURE AND APPLIED MATHEMATICS

Subject to availability of resources and administrative approval, one regular position in pure and applied mathematics. The six specific search areas are as follows: 1) statistics; 2) applied and computational mathematics; 3) logic and mathematical computer science; 4) geometry and topology (including dynamical systems and geometric partial differential equations; 5) analysis and differential equations (including mathematical physics); 6) algebra, number theory and combinatorics (including algebraic geometry and representations). Very strong promise in research and teaching required. Positions initially budgeted at the assistant professor level. Sufficiently outstanding candidates at higher levels will also be considered. Teaching load: averaging 1 .5 courses per quarter, or 4.5 quarter courses per year. To apply, send electronic mail to [email protected] OR write to Thomas M. Liggett, Chair, Department of Mathematics, University of California, Los Angeles, CA 90024-1555. Attn: Staff Search. UCLA is an equal opportunity/affirmative action employer.

UNIVERSITY OF CALIFORNIA, BERKELEY Department of Statistics

Pending final budgetary approval, applications are invited for two special Neyman Visiting Assistant Professor positions, beginning Fall 1993 or Spring 1994. The appointment is of two-year duration (but can be shorter by mutual agreement) and is not renewable. Applicants should have exhibited exceptional research potential in any of the following areas: Theoretical ·or

applied statistics, computational statistics, probability theory, applied probability. Appointees will be expected to teach effectively as well as carry out a vigorous program of research. Send applications or inquiries (including resume and names of three references) by January 31, 1993 to: T.P. Speed, Chair, Department of Statistics, University of California, Berkeley, California 94720. The University of California is an Equal Opportunity, Affirmative Action Employer.

UNIVERSITY OF SOUTHERN CALIFORNIA Los Angeles, California

The Department of Mathematics has available several tenure-track or tenured positions at the Assistant and/or Associate Professor level. Applicants must show strong research promise and possess excellent communications skills for teaching undergraduate mathematics courses. The Department of Mathematics also seeks to fill at least one tenured position at the senior level. Successful applicants will have an outstanding record of mathematical research and scholarship, and proven administrative skills for academic leadership. Visiting positions (at all levels) and postdoctoral appointments will also be available.

To apply, please submit the following materials in a single package: letter of application (including your email address and fax number), and a curriculum vitae. Candidates for junior positions should also provide at least three letters of recommendation. Mail application to: Chair of Appointments Committee, Department of Mathematics - ORB 155, University of Southern California, Los Angeles, CA 90089-1113. USC is an Equal Opportunity/Affirmative Action employer. Women and minorities are especially encouraged to apply.

UNIVERSITY OF SOUTHERN CALIFORNIA Los Angeles, California

The Mathematics Department at the University of Southern California seeks nominations and applications for the Herbert and Ruth Busemann Assistant Professorship starting in the academic year 1993. The Assistant Professorship has been established for young mathematicians specializing in geometry and will be awarded to recent Ph.D.s with outstanding scholarship. Special consideration will be given to those who have demonstrated in their work geometric insight and ingenuity, over and above the technical expertise and broad knowledge of the field that is usually expected.

Appointments will be made for a term of three years and will be renewable only in exceptional circumstances. Nominations and applications should be addressed to: Chairman, Department of Mathematics MC 1113, University of Southern California, Los Angeles, CA 90089-1113. The University of Southern California is an Equal Opportunity/Affirmative Action employer.

Classified Advertisements

~'"'-------r:LORii)A'"-~1'~'::.,~~~~~-~·

UNIVERSITY OF CENTRAL FLORIDA Department of Mathematics

Applications are invited for at least one tenured track position at Full, Associate, or Assistant Professor level beginning August 1993. A Ph.D. degree, a strong research record, dedication to teaching, and a proven ability to generate external grants are required for appointment at Full or Associate Professor level. Candidates with substantial completion of Ph.D. requirements with a strong teaching and research potential will be considered for the Assistant Professor level. These appointments will be made preferably in the areas of abstract algebra, graph theory and combinatorics, numerical analysis, computational mathematics, differential and integral equations, measure theory and probability, mathematical statistics, real or functional analysis, or applied mathematics. However, other areas of specialization may be considered provided there are no strong candidates with the preferred research areas. Candidates should send a detailed resume and arrange for at least three letters of recommendation and a transcript to be sent to: Dr. Lokenath Debnath, Chair, c/o Search Committee, Department of Mathematics, University of Central Florida, P.O. Box 161364, Orlando, Florida 32816-1364, postmarked by December 2, 1992.

The University is an equal opportunity affirmative action employer. As an agency of the State of Florida, UCF makes all application materials and selection procedures available for public review.

UNIVERSITY OF FLORIDA Department of Mathematics

We invite applications for three tenured or tenure-track appointments in mathematics, effective August 1993. In the case of junior candidates, preference will be given to applicants with postdoctoral experience who have made substantial research contributions beyond the doctoral dissertation. Senior candidates are expected to have demonstrated leadership in research. Applicants should forward a curriculum vitae, a list of publications, and a small number of reprints and/or preprints to

Chair of Search Committee Department of Mathematics University of Florida Gainesville, FL 32611-2082

Candidates should supply evidence of commitment to teaching and arrange for at least three letters of recommendation to be forwarded.

UF is an Affirmative Action Employer, and the Department especially welcomes applications from women and minority candidates. Full consideration will be given to candidates whose materials arrive by December 31, 1992.


NORTHWESTERN UNIVERSITY Department of Mathematics

2033 Sheridan Road Evanston, Illinois 60208-2730

Applications are invited for one or more anticipated tenure-track positions starting September 1993. Priority will be given to young, exceptional research mathematicians; however, more senior candidates with very exceptional credentials may be considered for a tenured position. Fields of interest within the department include Algebra, Analysis, Dynamical Systems, Probability, Partial Differential Equations, and Topology. Northwestern is an affirmative action, equal opportunity employer committed to fostering a diverse faculty; women and minority candidates are especially encouraged to apply. Candidates should arrange that at least three letters of recommendation be sent to Prof. C. Robinson, Chair, Personnel Committee, Department of Mathematics, Northwestern University, Evanston, Illinois 60208-2730. Alternatively, applications and supporting documentation can be sent via email to "[email protected]". In order to receive full consideration, applications should be received by January 1, 1993. Hiring is contingent upon eligibility to work in the United States.

NORTHWESTERN UNIVERSITY Mathematics Department

2033 Sheridan Road Evanston, Illinois 60208-2730

The Mathematics Department will sponsor an Emphasis Year in probability and stochastic analysis. This program will include two-year assistant professorship positions starting September 1993 and possible visiting positions for more senior mathematicians for part or all of the academic year. Applications should be sent to Professor Mark A. Pinsky at the department address and include a curriculum vitae and three letters of recommendation. In order to ensure full consideration, an application must be received by January 1, 1993. Northwestern University is an affirmative action, equal opportunity employer committed to fostering a diverse faculty; women and minority candidates are especially encouraged to apply. Hiring is contingent upon eligibility to work in the United States.

THE JOHNS HOPKINS UNIVERSITY Department of Mathematical Sciences

Applications are invited for 3 anticipated faculty positions within the areas of

1) numerical linear algebra (Senior applicants preferred), 2) statistics, 3) operations research, 4) applied discrete mathematics.

987

Selection is based on demonstration and promise of excellence in research, teaching, and innovative applications.

Minority and women candidates are encouraged to apply. The Johns Hopkins University is an Affirmative Action/Equal Opportunity Employer.

Applicants are asked to furnish a curriculum vitae, transcripts (junior applicants only), reprints (if available), a letter describing professional interests and aspirations, and to arrange for three letters of recommendation to:

Prof. John C. Wierman, Chair Department of Mathematical Sciences 220 Maryland Hall The Johns Hopkins University Baltimore, Maryland 21218-2689

Applications are requested by January 15, 1993. Applicants whose primary research is in al

gebra, analysis, geometry, logic, number theory, or topology will not be considered.

MASSACHUSETTS

WILLIAMS COLLEGE Department of Mathematics

Williamstown, Massachusetts 01267

One or possibly two anticipated positions, one of them preferably in statistics, probably at the rank of assistant professor, for Fall1993. Strong commitment to both teaching and scholarship is essential.

Please have a vita and three letters of recommendation on teaching and research sent to Hiring Committee. Formal evaluation of applications will begin November 15, 1992, and continue until the positions are filled. AA/EOE.

NEW JERSEY

DIMACS CENTER RUTGERS UNIVERSITY

DIMACS, the National Science Foundation Center ih Discrete Mathematics and Theoretical Computer Science (and supported in part by the NJ Commission on Science & Technology), a consortium of Rutgers and Princeton Universities, AT&T Bell Laboratories and Bellcore,

. is seeking a new Director beginning July 1, 1993. The Director will hold a professorial faculty appointment at Rutgers University in an appropriate mathematical science department and is expected to participate actively in the undergraduate and graduate programs .of the department. Moreover, he/she should have a distinguished research record and should be a leader in some area of discrete mathematics and/or theoretical computer science.

The position of Director of DIMACS has three major responsibilities: (1) To coordinate the scientific activities of the Center's participants, including numerous visitors, postdocs, and over 1 00 mathematicaVcomputer scientists at the four participating institutions and nearby sites who are permanent members of DIMACS; (2) Along with the Associate Director for Education, to coordinate DIMACS' extensive precollege

988

1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111_ ............................... .


and undergraduate educational programs; and (3) To assume administrative and budgetary responsibility for the operation of the Center, including liaison with the National Science Foundation.

The Search Committee has the following members: Robert Tarjan (Chair), Vasek Chvatal, Michael Garey, Richard Karp, Daniel Kleitman, Charles Sims, and Peter Winkler.

Send nominations and applications to the following address:

Att: Prof. Robert Tarjan Chair, DIMACS Search Committee DIMACS Center Rutgers University P. 0. Box 1179 Piscataway, NJ 08855-1179 email: ( [email protected] )

An Equal Opportunity Employer.

YESHIVA UNIVERSITY Department of Mathematics

The small, selective ·liberal arts colleges of Yeshiva University invite applications for a tenure-track position starting in Fall 1993 at the rank of assistant/associate professor. Responsibilities include teaching 12 hrs/sem and active scholarship at a level consistent with the teaching load. Rank and salary commensurate with background and experience. Qualifications: Ph.D., postdoctoral college teaching experience with a record of excellence, and a commitment to undergraduate teaching and productive scholarship. Send letter, vita and have three letters of reference sent to Dean S. Rosenfeld, Yeshiva College, New York, N.Y. 10033. (EOE)

RENAISSANCE TECHNOLOGIES CORP. Long Island, New York

Renaissance Technologies is an established Commodity Trading Advisor with a distinctly mathematical orientation. Most of our senior personnel have had academic careers before moving to the commercial world.

We are seeking additional Senior Research Analysts for our Stony Brook, Long Island office. The ideal candidate will have a strong research record and programming experience in the UND<IC environment. He/she will require only modest supervision, will be able to understand, improve, and implement complex trading algorithms, and will be able to analyze data with low signal to noise ratios.

We welcome applications from both junior and senior mathematicians. Especially for senior mathematicians, positions which would correspond to a one or two year ''visiting appointment" in academia are available at Renaissance. The starting dates for positions are flexible, but hiring decisions will be made soon. Salaries and bonuses are competitive.

Qualified candidates should contact: Vice-President - Research Renaissance Technologies Corp. 1 00 North Country Road Setauket, NY 11733


Phone: (516)246-5550; FAX: (516)246-5761. Affirmative Action/Equal Opportunity Em

ployer.

CORNELL UNIVERSITY Mathematics Education

Coordinator of Cornell/Schools Mathematics Resource Program (CSMRP) beginning July 1993. 3-5 year full-time lectureship appointment in the Department of Mathematics. Ph.D. in Mathematics or Mathematics Education, Master's level background in mathematics, teaching experience or working with math educators at various levels is desired. Responsibilities include organizing and running workshops, seminars, and inservice courses for school teachers of mathematics; teaching one course in the Teacher Education Program and one regular undergraduate course in the Mathematics Department; organizing activities to involved Cornell students and faculty in precollege education; writing grant proposals. Send curriculum vitae and three letters of reference to Professor David Henderson, Department of Mathematics, White Hall, Cornell University, Ithaca, New York 14853-7901. Deadline to apply: January 15, 1993. Cornell is an Affirmative Action, Equal Opportunity Employer.

THE OHIO STATE UNIVERSITY Department of Mathematics

The Department of Mathematics of The Ohio State University hopes to have available several positions, both visiting and permanent, effective Autumn Quarter 1993. Candidates in all areas of applied and pure mathematics, including those with demonstrated interest in pedagogical matters, are invited to apply. Significant mathematical research accomplishments or exceptional promise, and evidence of good teaching ability, will be expected of successful applicants.

Please send credentials and have letters of recommendation sent to Professor Dijen Ray-Chaudhuri, Department of Mathematics,

The Ohio State University, 231 W. 18th Avenue, Columbus, Ohio 43210. Review of resumes will begin immediately. The Ohio State University is an Equal Opportunity/Affirmative Action employer. Qualified women and minority candidates are encouraged to apply.

THE OHIO STATE UNIVERSITY Department of Mathematics

Research Instructorships in Mathematics

The Department of Mathematics of The Ohio State University hopes to have available a few research instructor positions for the academic year 1993-94. Candidates should hold a Ph.D. (or equivalent) in mathematics and show strong research promise.

Please send credentials and have letters of recommendation sent to Professor Dijen Ray-

Chaudhuri, Department of Mathematics, The Ohio State University, 231 W. 18th Avenue, Columbus, Ohio 43210. The Ohio State University is an Equal Opportunity/Affirmative Action Employer.

UNIVERSITY OF CINCINNATI Department of Mathematical Sciences

CHARLES PHELPS TAFT POSTDOCTORAL FELLOWSHIPS

Applications are invited. The award carries an annual stipend of $25,000, plus moving expenses up to $500, and a research allowance of $1 ,000. Health insurance, single coverage, is included. Deadline is February 1. Additional information may be obtained from: Taft Postdoctoral Fellowships, University of Cincinnati, ML 627, Cincinnati, OH 45221-0627. AAIEOE.

THE AIR FORCE FLIGHT DYNAMICS LABORATORY

and THE AIR FORCE INSTITUTE OF TECHNOLOGY

The Air Force Flight Dynamics Laboratory and The Air Force Institute of Technology announce the 1993-1994 Flight Control Distinguished Visiting Professor Program. The Air Force Institute of Technology (AFIT) at Wright-Patterson Air Force Base, Dayton, Ohio announces the opportunity to join the AFIT graduate faculty as a Distinguished Visiting Professor of Flight Control in the Department of Electrical and Computer Engineering in the School of Engineering. RESPONSIBILITIES: The responsibilities of the Flight Control Distinguished Visiting Professor include providing academic leadership in teaching and research in flight· control, and initiating and conducting research and consultation with the Flight Dynamics Directorate, Air Force Wright Laboratory. QUALIFICATIONS: The person appointed as Distinguished Visiting Professor should be an established faculty member at a major university. Prior flight control experience with industry or government would add to the candidate's qualifications. Areas of special interest for this chair are: Flight Control Systems, Control Systems for Reconfigurable Aircraft, Design of Robust Multivariable Control Systems, Quantitative Feedback Theory Design, Output Digital Feedback Design Technique for Multivariable Tracking Systems, and Adaptive Control and Estimation. Applicants are expected to have a Ph.D. and documented contributions in the areas of flight control. Selection will be based on the candidate's experience and qualifications as well as on the proposed teaching and research program at AFIT. RESEARCH SUPPORT: Two powerful hybrid computers (EAI SIMSTARS) are the heart of AFIT's flight control laboratory. A high fidelity, full flight envelope, real-time aircraft simulator is developed for academic and research use. Overall, AFIT's computer resources equal or exceed those found at other universities. An office, laboratory, the use of modern computers, and other service support will be provided for the visiting professor and may include support for a limited number of the visiting professor's doctoral students. PE-

--_r_· Classified Advertisements

RIOD OF APPOINTMENT AND SALARY: The initial period of appointment is for one full year. A shorter period and the starting date are negotiable, but should be prior to October 1 , 1993. Salary is commensurate with qualifications. A per diem allowance is also paid. APPLICATION: A resume of qualifications and experience, including a list of significant publications in the above fields of flight control, and any need for support of Ph.D. students can be submitted anytime prior to December 31, 1992 to: ASC/PKWRS (D. Peterson), Wright-Patterson AFB OH 45433-5000, Phone: (513) 257-6721. The Flight Control Distinguished Visiting Professor Program is made possible through a grant from the Air Force Wright Laboratory's Flight Dynamics Directorate. AFIT is an Equal Opportunity and Affirmative Action Employer.

>;.'!~'=~tx:.o::=~x<omw. OYRE'GONw.:r.~x.·.m::,.'m';;;::;;:.~:.'o\!X::m;l'.w.7.w

~===xx.':.~'lml~i.o:~.<.=».'->..~~-"'~'W>.'<~.x«*~~m:xi:~w;;.;;;::.'t.<;<::t.;·=<&:.;=m.o::.

R.S. DOW NEUROLOGICAL SCIENCES INSTITUTE Postdoctoral Position

Self-structured postdoctoral fellowship is offered for a Ph.D. in Mathematics or Mathematical Physics at the R.S. Dow Neurological Sciences Institute in Portland, Oregon. We are looking for a researcher who is interested in professional freedom, developing their own interests, and asking such questions as: How does an organism simplify its movement task and how are those simplifications reflected in ensemble activity of neurons? As part of an established theoretical project, the fellow will have the opportunity to develop appropriate mathematical formalism, then elaborate the structure of the resulting mathematics ·and explore the empiri" cal consequences. This position offers ongoing collaboration with both experimental and clinical neuroscientists as well as clinical links to a major medical center. For further information, please contact Lorrie Bruncks, Good Samaritan Hospital & Medical Center, 2282 NW Northrup, R-100, Portland, Oregon 97210. EOE/AA

BRYN MAWR COLLEGE Department of Mathematics

Applications are invited for positions in Mathematics and Computer Science, starting September 1993. They should be sent to the appropriate committee, Department of Mathematics, Bryn Mawr College, Bryn Mawr, PA 19010.

MATHEMATICS POSITIONS: One tenure track assistant professorship and one threeyear renewable lectureship. Candidates must have completed a doctorate in a mathematical science by the starting date, and must show promise in research and a serious commitment to undergraduate and graduate teaching. All fields are acceptable, with a preference for · applied mathematics or geometry. Please send a vita, research plan and three letters of recommendation to the Mathematics Search Committee.


COMPUTER SCIENCE POSITION: Threeyear renewable lectureship. Candidates should have completed a doctorate in computer science or a related field by the starting date, and must display a commitment to both teaching and scholarship, and an interest in curriculum development in a joint program with Haverford College. Please send a vita and three letters of recommendation to the Computer Science Search Committee.

Bryn Mawr College is an equal opportunity affirmative action employer. The college wishes particularly to encourage applications from individuals interested in joining a multicultural/international academic community. Minority candidates and women are especially encouraged to apply. CLOSING DATE: 1 January 1993 (late applications may be considered). Telephone: (215)526-5348. Email: msearch@ cc.brynmawr.

UNIVERSITY OF PITTSBURGH Department of Mathematics and Statistics

The department invites applications for the following position, which will be available for September 1993 if funding permits.

Assistant Professor in mathematical biology. We have a preference for an individual with a strong computational aspect to their research. This is a tenure track position.

Requirements include outstanding research accomplishment and potential commensurate with experience, and ability and interest in excellent teaching.

Applicants should send a resume and arrange to have at least three letters of recommendation sent to: S. Hastings, Chairman, Department of Mathematics and Statistics, University of Pittsburgh, Pittsburgh, PA 15260. Applications which are complete by January 10, 1993 are assured of complete consideration.

The University of Pittsburgh is an equal opportunity/affirmative action employer. Women and minorities are especially encouraged to apply.

-~--~T~EN??.N??.E~S~S~E~E---~#%~~

THE UNIVERSITY OF THE SOUTH Department of Mathematics

and Computer Science

Tenure-track position in mathematics, to begin Fall 1993, at a highly selective church-related (Episcopal) liberal arts college of 1100 students located on a 1 0,000-acre forested domain in the Tennessee uplands. Applicants should have an appreciation for the liberal arts and some interest in computing. Applications from women and minorities are especially encouraged. The position is at the level of assistant professor, with excellence in teaching and continued interest in research expected. A complete application will include a letter stating one's professional aims, a resume, graduate and undergraduate transcripts, and three recommendations. All should be sent to Sherwood F. Ebey, The University of the South, 735 University Avenue, Sewanee, TN

989

37375-1000. Applications received by November 27 will have first consideration. AAIEOE.

TEXAS

TEXAS A&M UNIVERSITY Head, Department of Mathematics

Texas A&M University is a major coeducational institution, serving over 40,000 students, and ranks in the top ten nationally in research funding, number of National Merit Scholars, and value of its permanent endowment. The College of Science has a research and teaching budget of approximately $40,000,000 and comprises the Departments of Biology, Chemistry, Mathematics, Physics, and Statistics and the Cyclotron Institute. The Mathematics Department is large, energetic, and committed to excellence. Its dynamic faculty, representing pure and applied mathematics, is actively involved in research and both graduate and undergraduate education.

The position of Head will be filled by a person with an outstanding record of achievement in research and teaching and with demonstrable administrative skills. Effective communication, a talent for management, and ability to provide visionary leadership are especially important.

Applications, consisting of a resume and the names of five persons from whom we may request letters of reference, will be accepted until November 1 , 1992, or until the position is filled. Women and minorities are especially encouraged to apply.

Texas A&M University is an equal opportunity, affirmative action employer:

Respond to: Dr. Jon Pitts, Chair Mathematics Department Head Search

Committee College of Science Texas A&M University College Station, TX 77843-3257 Phone: 409-845-7361 FAX: 409-845-6077 Email: search@ math.tamu.edu

UTAH

UNIVERSITY OF UTAH Department of Mathematics

The University of Utah, Department of Mathematics, invites applications for the following positions:

1. At least two full time tenure track appointments on the professional levels. The Department is primarily interested in applicants who work in the research areas represented in the Department and who received their Ph.D. degrees prior to 1992. Selection will be based on research and teaching ability.

2. Two or more nonrenewable three-year Instructorships. Persons of any age receiving Ph.D. degrees in 1992 or 1993 are eligible. Applicants will be selected on the basis of ability and potential in teaching and research. Starting salary will be $33,000; future cost of living increases are contingent on action by the

990

--------·············-·······--··············---·"'"'''''''''''""-·······•·•"'''"''''""''''••"•''''""''''-""'''''"'"''••············"-··--·


State Legislature. Duties consist of teaching five courses during the three quarter academic year.

3. One C. R. Wylie Instructorship. The term of this instructorship is one year, but it may be renewed for up to three years. It will be awarded either to an incoming Instructor or to one of the Instructors already in residence on the basis of ability and potential in teaching and research. The stipend is $37,000. Duties consist of teaching four courses during the three quarter academic year.

4. One or more visiting faculty positions of one year or less in any of the professorial ranks. Selection will be based on potential contributions to the department's research program, and on teaching ability.

It is expected that offers of Instructorships will begin on January 1 , 1993, but applications for all positions will be accepted until January 31, 1993, or until all positions are filled. Applications for any of these positions should include curriculum vitae, bibliography and three letters of reference. (Instructorship applications should also include an abstract of the thesis and either a list of graduate courses completed or a transcript of graduate work.) Visiting faculty applications should indicate the portion of the three-quarter academic year during which the applicant wishes to visit. Please send your application to Committee on Staffing, Department of Mathematics, University of Utah, Salt Lake City, Utah 84112. The University of Utah is an Equal Opportunity, Affirmative Action Employer and encourages nominations and applications from women and minorities.

VIRGINIA

WASHINGTON AND LEE UNIVERSITY Department of Mathematics

Lexington, VA 24450

RADFORD PROFESSOR I DEPARTMENT HEAD. The Radford Chair of Mathematics will be filled in September 1993. An applicant should have a background that warrants tenure and the rank of full professor, a record of effective teaching and scholarship, and a commitment to mathematics education in a liberal-arts setting. The Radford Professor will assume the position of department head for a five-year term.

The mathematics faculty numbers seven, all with Ph.D.s. The University is primarily a liberal-arts college with 1600 undergraduates. It is 240 years old and is located in the lower Shenandoah Valley. Address inquiries to Prof. T. 0. Vinson, Search Committee, Mathematics Department. The selection process will begin in November 1992. AAIEOE.

CANADA

UNIVERSITY OF TORONTO Department of Mathematics

The Department solicits applications for a tenure-stream appointment in Analysis. Preference will be given to researchers in the areas


of harmonic analysis, geometric analysis, and differential equations.

The appointment is at the downtown (St. George) campus at the level of Assistant Professor, to begin July 1 , 1993. Candidates are expected to have at least three years experience in teaching and research after the Ph.D., and to be able to demonstrate excellence in each. In particular, a candidate's research should show clearly the ability to make significant original and independent contributions to Mathematics.

Applicants should send their complete C. V. including a list of publications and any appropriate material about their teaching, and arrange to have a least four letters of reference sent directly to Professor K. Murty, Associate Chair, Department of Mathematics, University of Toronto, Toronto, Canada M5S 1A1. At least one letter should be primarily concerned with the candidate's teaching. To insure full consideration, this information should be received by December 31, 1992.

The University of Toronto encourages both women and men to apply.


The Department solicits applications for a tenure-stream appointment in Geometric Analysis. The position is subject to budgetary approval.

The appointment is at the downtown (St. George) campus at the level of Assistant Professor, to begin July 1, 1993. Candidates are expected to have at least three years experience in teaching and research after the Ph.D., and to be able to demonstrate excellence in each. In particular, a candidate's research should show clearly the ability to make significant original and independent contributions to Mathematics. Salary commensurate with qualifications.

Applicants should send their complete C. V. including a list of publications and any appropriate material about their teaching, and arrange to have at least four letters of reference sent directly to Professor K. Murty, Associate Chair, Department of Mathematics, University of Toronto, Toronto, Canada M5S 1 A 1. At least one letter should be primarily concerned with the candidate's teaching. To insure full consideration, this information should be received by December 31, 1992.

The University of Toronto encourages both women and men to apply. In accordance with Canadian immigration requirements, priority will be given to Canadian citizens and permanent residents.


The Department solicits applications for a tenure-stream appointment in •Applied Mathematics. Preference will be given to researchers in the areas of probability and nonlinear partial differential equations. The position is subject to budgetary approval.

The appointment is at the downtown (St. George) Campus at the level of Assistant

Professor, to begin July 1, 1993. Candidates are expected to have at least three years experience in teaching and research after the Ph.D., and to be able to demonstrate excellence in each. In particular, a candidate's research should show clearly the ability to make significant original and independent contributions to Mathematics. Salary commensurate with qualifications.

Applicants should send their complete C.V. including a list of publications and any appropriate material about their teaching, and arrange to have at least four letters of reference send directly to Professor K Murty, Associate Chair, Department of Mathematics, University of Toronto, Toronto, Canada M5S 1 A 1. At least one letter should be primarily concerned with the candidate's teaching. To insure full consideration, this information should be received by December 31, 1992.

The University of Toronto encourages both women and men to apply. In accordance with Canadian immigration requirements, priority will be given to Canadian citizens and permanent residents.

UNIVERSITY OF WATERLOO Department of Pure Mathematics

The Department of Pure Mathematics at the University of Waterloo invites applications for one or more tenure track positions at the Assistant Professor level starting July 1 , 1993. For its first appointment the Department is particularly interested in candidates whose research interests are related to Algebraic Geometry, Algebraic Topology or Differential Geometry. A second appointment (tenure track or definite term) may also be made in the above areas or in some area of Analysis. In order to be considered for the position, a Ph.D. is required. An appointment will be offered only to someone with very strong research and teaching qualifications. The University of Waterloo is committed to increasing the number of its female faculty, and therefore applications from women mathematicians are particularly welcome. Duties will include research, and teaching at all levels. Salary will depend on the candidate's qualifications. The deadline for applications is January 15, 1993. An application should contain the curriculum vitae of the candidate plus three letters of reference sent directly from the referees. In accordance with Canadian immigration regulations this advertisement is directed at Canadian citizens and permanent residents of Canada. The University of Waterloo encourages applications from qualified women and men, members of visible minorities, native peoples and persons with disabilities. All appointments are subject to the availability of funds. Please send applications to: Dr. J.W. Lawrence, Chair, Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1.

-~~~ilfiB;[fJS~~.ffrl\W"·--····--·--


"'"'''''"~'*""'~-~;~'l:)%~;.:r~,'!i.'$%'!':"CvPR,;:uS;;n:~.rt.&ll:i::c;;,;;sx""'"''~"~"""'~n:;:

~m~~am:~,l~~~.m;m:;m-,-:,«'~v~.;:,m

UNIVERSITY OF CYPRUS Department of Mathematics and Statistics

The newly established University of Cyprus is continuing its program of academic appointments. Potential applicants for positions in the Department of Mathematics and Statistics are invited to write as soon as possible to the following address for particulars of the next round of appointments.

Prof. Tasos Christofides Dept. of Mathematics and Statistics University of Cyprus P.O. Box 537 Nicosia, Cyprus

Tel.: 2-366186, Fax: 2-366198, email: tasos @cyearn.bitnet

-=-w=·=oEN,MARK·-~.,~=w~z,,

=====-~::w.>;;;w.;,,=-.w;.--.rwm."i.r:r..r:mv-=,~n::;mm>..~w.,

UNIVERSITY OF COPENHAGEN

PROFESSORSHIP IN MATHEMATICS The Institute of Mathematics of the University

of Copenhagen expects to fill a full professorship in mathematics, with service starting at the 1st of September 1993. The formal employer is the Ministry of Education and its associated institutions. The position is placed in wage bracket 37 and the salary is DKK 354.902,50 plus DKK 35.043,78 per annum. The successful candidate will be expected to participate in the research as well as the administration and teaching undertaken by the Institute. This may include the teaching of mathematical economics students at the Business College of Copenhagen. Please include in your application a description of current and planned research projects. Also please include copies (3, if possible) of publications that you want to have included in the assessment. The department standing committee on studies must make an assessment of the teaching qualifications of all applicants. Please include documentation to make this possible. All applications will be assessed by an ad hoc committee whose final report will be made available to all applicants. Additional information about the research activities of the Institute and the conditions of employment may be obtained from the chairman of the Institute, Universitetsparken 5, DK-21 00 Copenhagen 0, Phone 35320726. Your application should be submitted before the 16th of November 1992, and addressed to the Queen of Denmark and mailed to: The Faculty of Natural Sciences, Blegdamsvej 3, DK-2200 Copenhagen N. Original Application, List of Publications, Curriculum Vitae together with coauthor declaration, to the Institute of Mathematics, Universitetsparken 5, DK-2200 Copenhagen N. Send 3 copies of above paper together with the work you want to have included in the assessment.


_,,,0""'-'E"NGLA'iro"·"=="-'

~~~~'i;'J"Jre::'i;ili;;-":>i.'=lw.r"'~-~~,;ii~;~

INTERNATIONAL CENTRE FOR MATHEMATICAL SCIENCES, EDINBURGH

Director

The ICMS has been created in Edinburgh to be an international research centre of excellence covering all the mathematical sciences. It expects soon to have accommodation in 14 India Street, Edinburgh, a large, centrally situated house which was the birthplace of James Clerk Maxwell. As well as fostering mathematics and its applications, the ICMS aims to support mathematicians in the developing countries on the lines laid down by ICTP, Trieste.

The scientific activities of ICMS started in April 1991 and it is now in a position to appoint its first director. The Director will be in a position to shape the future direction of ICMS as a leading international research centre. The responsibilities are:

Scientific leadership, Administrative and financial well-being of the

Centre, Promotion of the Centre's activities.

The successful applicant will have A record of research at the highest level, Experience of developing research in an

academic or industrial environment. Well qualified applicants of any age, sex or

nationality are welcomed. Consideration will be given to those who might wish to be seconded to the position.

Salary, terms, and tenure will be at least comparable to those of a professor of the same age and experience. Applications should be sent to: Mr. Frank Donald, Project Development Director, ICMS, Department of Mathematics, HeriotWatt University, Riccarton, Edinburgh EH14 4AS before 15 December, 1992. Further particulars can also be obtained by contacting him (Tel. 031 451 3256 or email [email protected]).

~~..;:,_.,;~~~=:;;:;;,, .. _-;x_-:;~;-_-_,_r_,;,;x_'1;w;$_,,,iSR"Aer"-;::.;;.-l;":·~;.:::m:-,-:m;:;.-wMX:.&:.:w.>.Mill:',.;f;

~)-"<:O.:::.:J.·."=:: . ."io1.0.;$.\':-M.'J'.":.i::;:;:M.~;:-:m-:!:l7.~W-=:.~.1."'>.~'M'!:~X . .Y~-i!i,;.:O.~.~l

TECHNION ISRAEL INSTITUTE OF TECHNOLOGY

Anna Erdos Postdoctoral Fellowship, established by Professor Paul Erdos in memory of his mother. The fellowship is intended as an opportunity for a recent recipient of a doctoral degree to pursue his/her research in pure or applied mathematics. The fellowship is for one academic year, starting October 1, 1993. Stipend is commensurate with local academic salaries, and includes round trip travel. Application should be sent to the Chairman, Department of Mathematics, Technion - Israel Institute of Technology, Haifa 32000, Israel, by November 15, 1992. Application should include curriculum vitae, list of publications and research description and plans. Applicants should arrange for three letters of recommendation to be forwarded to the same address.

991

FOR SALE

PASCAL-XSC

The programming language for mathematicians. Compilers and documentation. FBSoftware, P. 0. Box 44666, Madison, WI 53744-4666. (608) 273-3702.

THE FIVE COLLEGE REGIONAL GEOMETRY INSTITUTE

Discrete Geometry July 5·31, 1993, Smith College,

Northampton, MA

For the summer of 1993, the Five College Regional Geometry Institute, funded by the NSF, will concentrate on DISCRETE GEOMETRY. Computational geometry and tiling theory will be emphasized; there will also be lectures and workshops on recent developments in polytopes, rigidity, discrete convexity, combinatorial geometry, arrangements, and other topics.

Week-long presentations will be given by Robert Connelly (Cornell), John Conway (Princeton), Ludwig Danzer (Dortmund), Scott Drysdale (Dartmouth), Herbert Edelsbrunner (Illinois), Joseph O'Rourke (Smith), Charles Radin (Texas), and Godfried Toussaint (McGill); there will be approximately thirty additional invited speakers on a wide range of topics.


In addition to geometers and graduate students, Institute participants will include high school faculty and undergraduate students. Discrete geometry can be studied at many levels, and the program is being designed to encourage interaction among these groups.

The Institute is pleased to be a testing site for the new NSF-funded Geometry Forum, a national Internet bulletin board, and with the help of the Forum, we hope to have nation-wide participation in some aspects of the Institute's program.

The Research Committee, which consists of Colin Adams (Williams), Jacob E. Goodman (CUNY), Joseph O'Rourke (Smith), and Marjorie Senechal (Smith), is seeking approximately 40 mathematicians and computer scientists who have active research programs in or related to discrete geometry and who are interested in participating in a "vertically integrated" Institute. Transportation, meals, and lodging will b!3 provided, as well as a stipend for those not already receiving NSF funding. Preference will be given to participants able to stay the entire month. There is also funding for about 16 graduate students.

The deadline for application is March 30, 1993 (February 15 for the Research Experience for Undergraduates component). For application forms and more information, contact the Regional Geometry Institute, c/o Department of Mathematics, Smith College, Northampton, MA, 01063 USA. Phone: (413) 585-2700; Email: [email protected]. The Institute Director is Marjorie Senechal.

POSITIONS WANTED

Mathematics Professor, Teaching and Research. Ph.D. 1974. Specialty: general and set-theoretic topology. Strong commitment to teaching. Over twenty published articles. Seven external research grants. Eighteen years of university teaching and research. Supervised master's theses. U.S. citizen. Any U.S. location. References and resume available upon request. Available immediately. Respond to applicant code 96, AMS Notices, 1-800-321-4267 Ext. 4084.

BLICATIONS FOR SA

MATH SCI PRESS, 53 Jordan Rd., Brookline, MA 02146, 617-738-0307. Geometric Structures and Nonlinear Physics, $95. Geometric Computing Science, $85, both by R. Hermann .. To appear: Lie Theory and Generalized Function Algebras.

PUBLICATIONS WANTED

Wanted: Mathematical books, journals, reprints, ephemera. Contact R. K. Dennis, Math. Dept., White Hall, Cornell U., Ithaca, NY 14853-7901. Tel: 607-255-4027, FAX: 607-255-7149. email:

[email protected]

Advances in Soviet Mathematics Volume 11

Entire and Subharmonic Functions B. Ya. Levin, Editor

The papers in this collection, written by participants of the Research Seminar on the Theory of Functions at Kharhov University, primarily address the theory of entire and subharmonic functions. Founded in 1953 by B. Ya. Levin and still functioning today, this seminar ranges over different problems in the theory of functions, functional analysis, and related problems in calculus and mathematical physics. Entire and Subhannonic Functions contains works presented recently in the serilinar.

1991 Mathematics Subject Classytcation.: 14, 30, 31, 34, 42, 60 ISBN 0-8218-4110-6, 275 pages (hardcover), October 1992 Individual member $88, Ust price $147, Institutional member $118 Your ordering code is ADVSOV I 11NA

All prices subject to change; Prepayment required. Order from: American Mathematical Society, P.O. Box 1571, Annex Station, Providence, RI 02901-1571, or call toll free 800-321-4AMS In the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada, please include 7% GST.


Then consider joining a highly talented group of mathematicians whose job it is to deduce structure where structure is not apparent, to find patterns in seemingly random sets, to create order out of chaos.

These are the mathematicians of the National Security Agency. They contribute to the solution of cryptologic problems using Number Theory, Group Theory, Finite Field Theory, Linear Algebra, Probability Theory, Mathematical

Statistics, Combinatorics and more. And they function as a true community, exchanging ideas and working with some of the finest minds-and most powerful COffilXlter.l-in the country.

If you love problem-solving and like the idea that those solutions will be applied to real world look into a career with NSA. Send your resume to National the address below or contact your Security campus placement office. Agency

Attn: M322 (AFN), Ft. Meade, Maryland 20755-6000 The Opportunities of a Lifetime

An equal cwortunlty employer. U.S. dtizenshlp required for applicant and immediate family members.

OKLAHOMA STATE UNIVERSITY Grayce B. Kerr Chair in Mathematics

The Department of Mathematics invites applications and nominations for the Kerr Chair in Mathematics. Candidates should have an outstanding record of scholarly accomplishments and a strong commitment to research. The person selected to fill this position will be expected to maintain a strong research program and be actively involved in the development of the department, including the graduate and undergraduate programs. Salary, discretionary fund, and teaching load ·are negotiable.

Send inquires, nominations, and applications to: · Alan Adolphson Chairman, Chair Search Committee Department of Mathematics, Oklahoma State University Stillwater, Oklahoma 74078 Email: [email protected]

For full consideration, applications should be received by November 1, 1992. Applications should include a vita and names and addresses of references. Oklahoma State University is an affirmative Action/Equal Opportunity Employer. Women and minorities are encouraged to apply.

1_11 Loughborough ' ~ University of Technology

Department of Mathematical Sciences

CHAIR IN APPLIED MATHEMATICS

Applications are invited for a Chair in Applied Mathematics in a Department with a strong research commitment. Preference will be given to a candidate with an outstanding research record and an international reputation who is able to interact with one of the established research groups, namely in control theory and optimisation, or in nonlinear phenomena, or in the modelling of physical or engineering problems. Salary within the professorial range will be negotiable. Information enquiries relating to this position may be addressed to Professor Ron Smith at the Department of Mathematical Sciences on 0044 509 223092. Further particulars and application forms are available from the Registrar, (to whom applications should be returned by 27 November 1992 qu!'ting reference 92/138/MA). University of Technology, Loughborough, Leicestershire LEll 3TU, United Kingdom.

We are committed to equal opportunities

Schooltistics"' I Software for Recording Grades & Attendance, Viewing Averages &

Detecting Trends* + Provides new & innovative methods of analyzing data. + Saves time by eliminating tedious, repetitive tasks.

• EFFICIENT... • UNIQUE •.• AUTOMATES GRAOEBOOK & RELATED ACnYITIES COMBINATION OF FEATURES NOT AVAILABL£ ELSEWHERE

•POWERFUL. .. YET DESIGNED FOR THE COMPIJTER NOVICE

FOR MORE INFORMATION, CONTACT: Seek Rot. 9211

786 Great Rd . N Smithfield, Rl 02895

1-800-443·7335 •1-800-559-73351in Rll *For uso on IBM/PCs & Compotibles. S&H

New from Birkhauser NEW DEVELOPMENTS IN LIE THEORY AND THEIR APPLICATIONS edited by J. Tirao, Universidad Nacional de Cordoba, Argentina; and N. Wallach, University of California, San Diego

Contains expositions of some of the main trends in research in Lie groups, representation theory and their applications, and shorter articles that contain new results in related fields. All articles are based on lectures given at an international conference that was attended by both graduate students and researchers in the field; the lectures were geared to both levels of the audience, which means that the material in this volume has been "pretested" on an audience of precisely the type for which it is aimed. 1992 255 pp. (approx.) Hardcover ISBN 0-8176-3619-6 $64.50 (tent.) Progress in Mathematics, Volume 105

STOCHASTIC ANALYSIS AND RELATED TOPICS edited by H. Korezlioglu and A.S. Ustunel, ENST, France

Super processes, Dirichlet forms, anticipative stochastic calculus, random fields and Wiener space analysis - a wide range of topics is covered in this volume through both survey lectures and research papers. The two main lectures, by D. A. Dawson and M. Rockner, were first given at the third Siliviri meeting in 1990 and subsequently enlarged and developed to form the first part of this book. They provide an up-to-date survey of results in their respective topics. The second part consists of recent research papers all related to stochastic analysis, motivated by stochastic partial differential equations, Markov fields, the Malliavin calculus, and Feynman path integrals.

1992 104 + pp. (approx.) Hardcover ISBN 0-8176-3666-8 $74.50 (tent.)

GEOMETRY AND SPECTRA OF COMPACT RIEMANN SURFACES by Peter Buser

This monograph is a self contained introduction to the geometry of Riemann surfaces of constant curvature - 1 and their length and eigenvalue spectra. It focuses on two subjects: the geometric theory of compact Riemann surfaces of genus greater than one, and the relationship of the Laplace operator with the geometry of such surfaces.

CONTENTS Hyp~rbolic Structures • Trigonometry • Y-Pieces and Twist Parameters • The Collar Theorem • Bers' Constant and the Hairy Torus • The TekhrniiUer Space"" The Spectrum of the Laplacian • Small Eigenvalues • Closed Geodesics and Huber's Theorem • Wolpert's Theorem • Sunada's Theorem • Examples of Isospectral Riemann Surfaces • The Size of Isospectral Families • Perturbations of the Laplacian in Hilbert Space • Appendix: Curves and lsotopies • Index 1992 465 pp. (approx.) ISBN 0-8176-3406-1 Hardcover $69.50 (tent.) Progress in Mathematics, Vol. 106

AIDS EPIDEMIOLOGY: METHODOLOGICAL ISSUES edited by N.P. Jewell, University of California at Berkeley, K. Dietz, University Tubingen, Germany and V.T. Farewell, University of Waterloo, Ontario

As we enter the second decade of the AIDS epidemic, we have seen considerable research accomplishments deepen our understanding of Human Immunodeficiency Disease. Yet available data are often inadequate for describing this terrible disease that, in the United States alone, has killed more than 135,000 of the approximately 203,000 people in whom it has been identified. In an effort to broaden the use of key statistical and quantitative techniques among AIDS researchers, experts from around the world were invited to meet, present, and discuss the methodologies they have utilized in the ongoing study of the epidemic. This book contains the state-of-the-art reviews and introductions to original topics that formed the core of the meeting. Topics covered include: projections of AIDS incidence; models describing the evolution of immunological markers and their relationships to the risk of onset of AIDS or death; HIV transmission models.

1992 416 pp. Hardcover ISBN 0-8176-3632-3 $74.50

MATHEMATICAL CONTROL THEORY An Outline by Jerzy Zabczyk, Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland

This book provides a self contained outline of mathematical control theory, concentrating on typical and characteristic results. Topics covered include structural possibilities of linear systems; structural properties of nonlinear systems; how to find optimal; and infinite dimensional systems.

CONTENTS Introduction • Part 1: Elements of Classical Control Theory • Controllability and Observability • Stability and Stabilizability • Realization Theory • Systems with Constraints • Part II: NonlinearControlSvstems • Controllabilitv and Observability of Nonlinear • St~bility and Stabilizabllity • Realization Theory • Part Ill: Optimal Control • Dynamic Programming • Dynamic Programming for Impulse Control • The Maximum Principle""The ExistenceofOptimalStrategies • Part IV: Infinite Dimensional Linear Systems • Linear Control Systems • Controllability • Stability and Stabilizability • Linear Regulators .in Hilbert Spaces • Appendices • Index 1993 330 pp. (approx.) ISBN 0-8176-3645-5 Hardcover $65.00 (tent.) Systems & Control: Foundations & Applications

THE MAPLE TECHNICAL NEWSLETTER A Newsletter sponsored by Wate):'loo Maple Software for the communication of applications among creators and users of Maple Software

ISSN: 1061-5733 Volume 7 & 8, 1992 2 issues per annum Personal Rate: $31.00 Institutional Rate: $41.00 journal prices include postage and handling. Write for Your Free Sample Copy Today!

LOOP SPACES, CHARACTERISTIC CLASSES AND GEOMETRIC QUANTIZATION by J.-L. Brylinski, Penn State University

This book presents a geometric theory of 3 cohomology of manifolds, applications to the geometry ofloop spaces and loop groups, group cohomology and Cheeger-Simons classes, Deligne cohomology, and the geometric quantization of the magnetic monopole. In addition, the construction of a holomorphic line bundle over the space of singular knots in a smooth 3-manifold is also presented, as well as a discussion of the Kaehler structure of this space of knots.

CONTENTS: Complexes of Sheaves and Their Hypercohomology • Line Bundles and Geometric Quantization • Kaehler Geometry of the Space of Knots • Degree 3 Cohomology: The DixmierDouady Theory • Geometry of H 1993 350 pp. (approx.) ISBN 0-8176-3644-7 Hardcover $49.50 (tent.)

THREE EASY WAYS TO ORDER! Call: Toll-Free 1·800·777-4643. In Nj please call (201) 348·4033. Your reference number is Y630. Write: Birkhiiuser, Order Fulfillment, Dept. Y630, 44 Hartz Way, Secaucus, Nj 07096·2491. Visit: Your Local Technical Bookstore, or urge your librarian to order for your department.

Payment can bt.•made by cltt.•ck, uwnt'Y order or credit card. Please L'llc/O>t' $250 for shipping & handling for the first hook ($1.00 for eadt additional book) and add appropriah• sah•s ta.r if you reside in NY, NJ, MA, VT, PA, or CA. Canadian residents plt•ast•add 77c GST. Prices arc mlid in North AmL•rica ouly, an• payablt• in U.S. curn•nc_v or its equi'l.l(l/ent ,and an• subject to dmngt•without notice.

For orders outside North Amaim, please nmtact: Birkhiiust•r Verlag AG Klosft>rbt•rg 23 CH-4010 Basel, Swit:erlmul FAX# CJ61 271 7666.

Birkhiiuser Boston • Basel • Berlin

REVOLUTIONARY·SOFTWARE

In the past few years,

ma~~aticMnshavese~

amazing advances in what

they can expect from com

puter algebra orword

processingsyst~s! One

drawback has often been

the price. Now Brooks/

Cole announces amazingly

powerful syst~s - at

incredibly law prices!

Available now!

Incredible tnathetnaticalpol¥er for just $99!*Announcing a student version ofthe program that solves thewidest range of problems of anycomputer algebra system available today!

Maple V:Student Edition

for Macintosh and DOS 386/486based systems

From calculus through linearalgebra, differential equations,real analysis, complex variables,and beyond - this powerful,interactive tool will take studentsas far as they want to go inmathematics!

Maple V will help students oreducators work through elaboratecalculations that would take themhours (or even days) to do on paper.Unequaled in power and function,but also easy to learn, Maple V combines a superior algebraic enginewith an extremely user-friendly interface and provides versatile 3-D colorgraphing capabilities. T~s allowsusers to visualize complex mathematical, scientific, and engineeringinformation in exciting new ways!

* Special student or educator's discount fromthe publisher.

Maple ~.Student Editionfeatures:

• more than 1700 built-in mathematicalfunctions

• support for mathematicalcoprocessors if available

• a complete online help systemthat allows users to navigatequickly and easily from one topicto another

• both 3-D and 2-D graphics, alongwith the ability to manipulategraphics interactively

• documentation that allows students to start with the mathematics they know and solve theirfirst problems within minutes

AT YESTERDAY'S PRICES!

Producing high-quali~ technical documents has never been easier. ..

For IBM PCs and compatibles

EXP: The Scientific Word Processor, Version2.1 by Simon L. Smith

At just $295, this "What You See Is What You Get" program delivers fast, professional results!

"Anyone who tries to write a mathematics

textbook or a technical paper without a

symbol-word processor such as EXP

might as well ride a horse and buggy to

work and do all their calculations on a

slide rule. Among all the symbol word

processors I've seen, EXP is the best!"

Clement E. Falbo Sonoma State University

EXP is powerful software that stands alone in terms of what it can do to speed up the production of technical reports, documentation, and general authoring. With EXP all text, mathematics, special symbols, graphics, and proportional spacing appear on screen just as they will look when you print your document.

EXP features automatic sizing and centering of mathematical symbols, automatic numbering of equations, macros that reduce repetitive typing,

a built-in spell-checker, and much more. And EXP users rate it as the best-priced, easiest to use word processor currently available.

For Macintosh Computers

A complete ''What You See Is What You Get'' scientific word processor perfect for writing research papers, dissertations, books, and more!

Math Writer™ 2.0: The Scient~· ·c Word Processor or the Macintos ®

by J. Robert Cooke and E. Ted Sobel

Math Writer is a powerful writing tool for the Macintosh that allows scientists to compose at the keyboard as comfortably as other scholars have been able to with traditional word processors. With Math Writer you can enter mathematical expressions as self-formatted text, not graphics, so both text and mathematics can be edited at any time in the same document. Math Writer features *text and graphics sidebars with full word wrap * find/ replace for mathematical symbols *a spelling checker, thesaurus, and automatic hyphenation* on-screen renumbering of both equations and references to equations *automatic formatting of tables and matrices * and much more!

Math Writer is available in both an Educational and a Professional Version. Math Writer: Professional Version offers the full power of Math Writer and includes: *Three Macintosh disks *A 350-page manual* Quick reference card. Price: $395.

The Educational Version retains the capabilities for mathematics writing and formatting but does not contain interactive libraries, revision tracking, or sidebars, and automatic numbering is limited. It contains a spelling checker, but not a thesaurus, hyphenation, or the supplementary math-science-engineering dictionary. It includes: *One Macintosh disk* A 250-page manual * Quick reference card. Price: $99.95.

No risk! Order Brooks/Cole I

software on our 30-day money back guarantee! Call toll-free 1-800-354-9706, or write:

Brooks/Cole Publishing Company Dept. Notices 1092 511 Forest Lodge Road Pacific Grove, CA 93950-5098 (408) 373-0728 FllX(408)375~14

THE THIRD GREAT SCIENTIFIC

REVOLUTION OF THE 20TH CENTURY

Chaotic D11namics A First Course in Chaotic Dynamical Systems This book conveys the essential mathe

matical ideas in dynamical systems TheoTij and Experiment theory using a combination of rigorous

mathematics and computer experimenta-Robert L. Devaney, Boston University · tion. The topics include: investigating the

rates of approach to attracting or indifferent fixed points; the discovery of Feigenbaum's constant; exploring the window structure in the orbit diagram; and understanding the periods of the bulbs in the Mandelbrot set. Two supplementary, interactive software packages are also available. Hardcover> 0·201·55406·2 > 01992 304 pp. > $45.25

A First: Course in Chaat:ic Dynamical Syst:ems Saftwara: Labs 1·6 0·201·52767·7 > 01992 >Twa 3.5" Disks, 48 pp. dacument:at:ian > $64.50

Dynamical Syst:ems Software: The Mandelbrat: and .Julia Set:s [Labs 5&6J > 0·201·55705·3 > 01992 >One 3.5" Disk, 24 pp. dacument:at:ian > $53.75

This book provides the theoretical and experimental tools necessary to begin researching the nonlinear behavior of mechanical, electrical, optical, and other systems. Fractal measures, periodic orbit extraction, and symbolic analysis are applied to unravel the chaotic motions of these systems. Accompanying software

provides the opportunity to immediately explore nonlinear phenomena outside the laboratory. The software requires an Apple Macintosh computer (128K ROM) with at least 1MB of RAM and System 6.0 or higher. Hardcover> 0·201·55441·0 > 01992 > 448 pp., wlt:h 3.5" Maclnt:ash disk > $39.75

Dynamics: The Geometry of Behauior

Ralph Abraham, University of California, Santa Cruz; and Christopher Shaw

Dynamics is an excellent book for anyone, mathematician or layman, who wants to learn about dynamical systems theory. Abraham and Shaw use lively, full-color illustrations to introduce readers

to this important branch of mathematics. This is a visual mathematics book that is accessible to a broad audience. The book is organized into four main sections on: periodic behavior; chaotic behavior; global behavior; and bifurcation. Paperback> 0·201·56717·2 > @1992 > 656 pp. > $53.75

Hardcover> 0·201·56716·4 > 01992 > 656 pp. > $75.25

These and all other Addison-Wesley titles are available through fine technical bookstores everywhere, or by calling Addison-Wesley at 1-800-447-2226.

Advanced Book Program Addison-Wesley Publishing Company One Jacob Way Reading, MA 01867

Help your students discover more meaningful relationships.

Again in '92: a free classroom display device with purchase of 30 calculators. Showing is much more powerful than telling. So we've developed special classroom displays for our most advanced calculators. The HP 48SX scientific expandable calculator and the cost-effective HP48S are designed to put your students on the cutting edge of calculus and engineering. With more built-in functions and graphics solutions than any other calculators. If your department or students purchase 30 HP 48SX or HP 48S calculators (or a mix of both), we'll give you free an HP 48SX and plug-in classroom display (a$900 retail value). So call (503) 757-2004 from 8am to 3pm PDT for details. Or write: Calculator Support, Hewlett-Packard, 1000 NE Circle Blvd., Corvallis, OR 97330. Offer ends December 31, 1992, and applies only to college and high school instructors.

FJ/dl HEWLETT a!~ PACKARD

Is This What Your 16-¥ear-Old Dau~ter

looked Like The Last lime You Bought Insurnnce?

Yes, it really has been that long. A lot of things have changed since then. The size of your family. Maybe your job. And more than likely, the amount and types of insurance coverage you need. That's why it's important to have coverage that can easily adapt to the way your life changes-Group Insurance for AMS Members.

We Understand You. Finding an insurance program that's right

for you isn't easy. But as a member of AMS, you don't have to go through the difficult and time consuming task of looking for the right planswe've done that work for you. What's more, you can be sure the program is constantly being evaluated to find ways to better meet the needs of our members.

We're Flexible. Updating your insurance doesn't have to be

a hassle. With our plans, as your needs change,

so can your coverInsurance

your · association is

designed to grow with you-it even moves with you when you change jobs.

What good would all these benefits be if no one could afford them? That's why we offer members the additional benefit of reasonable rates, negotiated using our group purchasing power. Calli 800 424-9883 (in Washington, DC, (202) 457-6820) between 8:30a.m. and 5:30p.m. Eastern Time for more information about these insurance plans offered through AMS:

Term Life • Disability Income Protection • Excess Major Medical • In-Hospital • High-Limit Accident

Group Insurance for AMS Members Designed for the way you live today.

And tomorrow. This Plan is administered by Seabury & Smith.

INFINITE PossiBILITIES from Addison -Wesley

Discrete and Combinatorial Mathematics: An Applied Introduction, Third Edition Grimaldi The third edition contains over 400 exercises, along with nwnerous new examples that clarify difficult concepts. Plus, the text provides computer science applications and three helpful appendices.

1993 (54983) 880 pp. Hardcover

Introduction to Linear Algebra, Third Edition Johnson In the new edition, the authors provide 50% new and revised problems, along with spiraling exercises which hint at ideas that will be later developed. Plus, examples using Matl.ab and DERIVE® are included in each chapter.

1993 (56801) 576 pp. Hardcover

Fundamentals of Differential Equations, Third Edition Nagle and Saff In the Third Edition, your students will benefit from 30o/o new or revised problems, including new section and chapter exercises. Plus, to reinforce problem solving skills, the authors review problem solving steps in procedure boxes.

1993 (35056) 736 pp. Hardcover

Fundamentals of Differential Equations and Boundary Value Problems Nagle and StJff This volume contains all of the features found in Funda~ mentals of Differential Equations, plus three additional chapters covering and building on boundary value prob~ lems.

1993 (30253) 864 pp. Hardcover

Calculus-A Graphing Approach, Preliminary Version Finney, ThomtlS, Demana, and Waits

..

In this new text, the authors incorporate their proven graphing calculator and computer graphing approach into the calculus course. The final version of the text will be available in January, 1994.

1992 (56903) Softcover (Chapters 1~6) 1993 (56904) Softcover (Chapters 7~ 12) 1993 (56912) Softcover (Graphing Calculator Lab Manual for Calculus)

Also look for these Addison-Wesley titlesApplied Calculus, Third Edition Bittinger and Morrel 1993 (52984) 750 pp. Hardcover

Precalculus: Functions and Graphs, Second Edition Demana, WaitT, and Clemens 1993 (52910) 720 pp. Hardcover

A Survey of Mathematics with Applications, Fourth Edition Angel and Porter 1993 (54994) 800 .pp. Hardcover

Algebra and Trigonometry, Sixth Edition (Unit Circle) Keedy, Bittinger, and Beecher 1993 (52517) 896 pp. Softcover

Algebra and Trigonometry, Second Edition {Right Triangle) Bittinger and Beecher 1993 (52510) 896 pp. Softcover

College Algebra, Second Edition Bittinger and Beecher 1993 (52526) 672 pp. Softcover

Mathematics for Elementary School Teachers, Fifth Edition Billstein, Libeskind, and Lott 1993 (52565) 976 pp. Hardcover

Developmental Mathematics, Third Edition Keedy, Bittinger, and Beecher 1993 (53770) 600 pp. Hardcover

Elementary Statistics, Second Edition Weiss 1993 (56640) 650 pp. Hardcover

~ AomsoN~WESLEY PUBUSHING CoMPANY

. . . 0 ··· I 0 ··· 0·

ilF, oF, ilF, ilF, ax, ··· ax. o/1 ··· o/.

-__,... . .....,._

niCally ./.\' . "

It's a breeze.

It will have you typing mathematics in minutes. It's so easy, you can compose and edit directly on the screen without being forced to think in TEX. And it gets even better! With Windows 3.0, you simply use the mouse to click on symbols and objects such as fractions, brackets, etc., and they appear in your document. Or, you can enter the same symbols with keyboard shortcuts.

SOFtWARE RESEARCH, INC.

ScientiRc Word is a front end to TEX. It includes a Windows version of lf.TE){ and a Windows previewer. It stores files in ASCII lf.TEX format and imports most existing lf.TEX documents.

So chill out! Let Scientiftc Word make your life a breeze. All you need is a PC with Windows 3.0 or higher, running in standard or enhanced mode ... and ScientiRc Word.

Call 800-874-2383 to order your copy today. Ask about our 30 day money-oaCk guarantee and our educational discount. ... . It's that. easy.

1190 Foster Road • Las Cruces, NM 88001 TEL: (505) 522·4600 • FAX: (505) 522·0116

TELEX: 317629

Scientific Word is a registered trademark of TCI Software Research Inc. T EX is a trademark of the American Mathematical Society Windows is a trademark of Microsoft.

Israe{ !Matliematica{

Conference Proceedings o/o{ume5

Interpolation Spaces and Related Topics Michael Cwikel, Mario Milman, and Richard Rochberg, Editors

This book contains the proceedings of the International Workshop on Interpolation Spaces and Related Topics, held at Technion in Haifa, Israel, in the summer of 1990.

The twenty-one research papers in this volume reflect recent developments at the frontier of research in several directions in interpolation theory. In addition the volumes provide a concise and convenient summary of interesting but hitherto less well-known work in interpolation from the Russian schools of Yaroslavl and Kazan. One highlight is an extensive list of unsolved problems in interpolation theory, including contributions from a number of experts who were unable to attend the workshop. This volume is published by Bar-Han University and is distributed by theAMS.

1991 Mathematics Subject Classification: 46; 41, 42, ISSN 0792-4119 294 pages (softcover), August 1992 lndiv. mem. $24, List $40, Inst. mem. $32 To order please specify IMCP/5NA

All prices subject to change. Prepayment required. Order from: American Mathematical Society, P.O. Box 1571, Annex Station, Providence, RI 02901-1571, oreal! toll free 800-321-4AMS in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada, please include 7% GST.

N e w

from

M I T EXPLORING WITH LOGO

LEARNING MATHEMATICS AND LOGO edited by Celia Hayles and Richard Noss $45.00

APPROACHING PRECALCULUS MATHEMATICS DISCRETELY Explorations in a Computer Environment Philip G. Lewis $24.95 paper

Original in Paperback

INVESTIGATIONS IN ALGEBRA Albert A. Cuoco $29.95 paper

VISUAL MODELING WITH LOGO A Structured Approach to Seeing James Clayson $19.95 paper

To order call tol~free 1-80Q-356-Q343 or (617) 625-8569. MasterCard & VISA accepted. To order IBM Logo™1-80Q-IBM-2468. To order LCSI Logo ll™for Apple call Logo™Computer Systems, Inc.

THE MIT PRESS

UNSTRUOURED SCIENTIFIC COMPUTATION ON SCALABLE MULTIPROCESSORS edited by Piyush Mehrotra, Joel Saltz, and Robert Voigt Unstructured and dynamical~ varying algorithms me playing on increasingly important role in the solufion of lmge:scole scienfific problems on lmge:scole computers. This book focuses on the implementofion of such algorithms on parallel computers that con be scaled up to incredible performances. Scientific and Engineering Computution Series 432 pp. 50 il/us. $39.95

PARALLEL COMPUTATIONAL FLUID DYNAMICS Implementations and Results edited by Horst D. Simon Scientific and Engineering Compulllffon Series 390 pp. $45.00

SEMANTICS OF PROGRAMMING LANGUAGES Structures and Techniques Carl A. Gunter "An outstanding exposifion of the mothemaficol definifion of funrnonal programming languages, and of the under~ing theory of domains. It combines the clarity needed far on advanced textbook with a thoroughness that should make it a standard reference work." -John C. Reynolds, Carnegie Mellon University Foundations of Computing Series 376 pp. $37.50

Available f01 Text Use

LINEAR NETWORK OPTIMIZATION Algorithms and Cades Dimitri P. Bertsekas 384 pp. $39.95

CATEGORIES, TYPES, AND STRUOURES An Introduction to Category Theory for the Working Computer Scientist Andrea Asperti and Giuseppe Longo Foundations of Computing Series 325 pp. $32.50

BASIC CATEGORY THEORY FOR COMPUTER SCIENTISTS Beniamin C Pierce 128 pp. $17.95 softcover

LOGIC PROGRAMMING AND NONMONOTONIC REASONING Proceedings of the First International Workshop June 22-24, 1991 Washington, D.C. edited by Ani/ Nerode, Wiktor Marek, and V. S. Subrohmanian 432 pp. $32.50 softcover

55 Hayward Street, Cambridge, MA 02142

NE\V!! - KLU\VER FOR 1\IATHEJ\IATICS- in 1993

Applied Categorical Structures A Journal Devoted to Applications of Categorical Methods in Algebra, Analysis, Order, Topology and Computer Science

Editor: R. Lowen, University of Antwerp, Belgium

1993 Volume 1 (4 issues) ISSN 0927-2852 Institutional rate: $214.00/Dfl.342.00 Individual rate: $112.50/Dfl.lSO.OO

This journal aims to promote communication and increase dissemination of new results and ideas among mathematicians and computer scientists who use categorical methods in their research.

EditorialBoard:J.Adamek,B.Banaschewski,H.L.Bentley,G.C.L. Briimmer, E. Colebunders, P.J. Collins, A. Csaszar, H. Ehrig, M. Erne, M. Fourman, A. Friilicher, E. Giuli, J. Gray, K.A. Hardie, H. Herrlich, S.S. Hong, M. Hosek, J.R. Isbell, D.C. Kent, H. Kleisli, J, Lawson,F.E.J.Linton,L.D.Nel,R.Nakagawa,H.Porst,G.Preuss, D. Pumpliin, H. Riihrl, S. Salhany, D.S. Scott, Z. Semadeni, M.B. Smyth, G.E. Strecker, R. Street, W. Tholen, 0. Wyler

Set-Valued Analysis An International Journal Devoted to the

Theory of Multifunctions and Its Applications

Editor-in-Chief: Biagio Ricceri, University of f:atania, Italy

1993 Volume 1 (4 issues) ISSN 0927-6947 Institutional rate: $214.00/Dfl.342.00 Individual rate: $112.50/Dfl.180.00

This international journal is devoted to all aspects of mathematical analysis involving multifunctions (set-valued maps) and topics related to them.

Editorial Board: Z. Artstein, J.-P. Aubin, G. Beer, Y.G.Borisovich, J.M. Borwein, A. Bressan, F.E. Browder, C. Castaing, A. Celllna, K.-C. Chang, B. Cornet, K. Fan, H. Frankowska,L. G6rniewicz,A. Granas, A.D. Ioffe, P.S. Kenderov, M. Kisielewicz, S. Levi, V.L. Levin, E. Michael, M.Z. Nashed, C. Olech, J.-P. Penot, S.M. Robinson, R.T. Rockafellar, W. Takahashi, E. Tarafdar, A.A. Tolstonogov, M. Valadier, R.J.-B. Wets

~· Kluwer Academic Publishers Paper submissions should be sent in triplicate to:

~~-' P.O. Box 358 • Accord Station • Hingham, MA 02018-0358 Journals Editorial Office • ., P.O. Box 322. 3300 AH Dordrecht. The Netherlands P.O. Box 17 • 3300 AA Dordrecht

The Netherlands Kt.wer A.t:atl.,ie l'rlblis1ren is offering a 25% discount 011 all boola to individual members of the A.meric1111 Mathematical Society. Orders must be prepaid, se11t directly to the publishers 1111d inct.de the sig11ed stateme~~t, "I am a member of the AMS, this purchase is for my OWII pers011al use."

ESSENTIAL MATHEMATICS FROM CAMBRIDGE Ideas and Methods in Analysis, Stochastics, and Applications In Memory of Raphael Hoegh-Krohn, Volumes 1 and 2 Edited by Sergio Albeverio, Helge Holden, Jens Erik Fenstad, and Tom Lindstrom Vol1: 1992 509 pp. 41929-8 Hardcover $74.95 Vol2: 1992 556 pp. 41930-1 Hardcover $74.95

Representations of Algebras Edited by H. Tachikawa and Sheila Brenner London Mathematical Society Lecture Note Series 168 1992 300 pp. 42411-9 Paper $49.95

An Introduction to Functional Programming Antony J. T. Davie Cambridge Computer Science Texts 1992 304 pp. 25830-8 Hardcover $69.95

27724-8 Paper $24.95

Supermanifolds Second Edition Bryce DeWitt Cambridge Monographs on Mathematical Physics 1992 425 pp. 41320-6 Hardcover $95.00

42377-5 Paper $37.95

Predicate-Transformation Semantics with Recursion and Unbounded Choice Wim H. Hesse/ink Cambridge tracts in Theoretical Computer Science 27 1992 235 pp. 40436-3 Hardcover $39.95

Lectures on Mechanics Jerrold E. Marsden London Mathematical Society Lecture Note Series 174 1992 254 pp. 42844-0 Paper $34.95

Arakelov Geometry C. Soule, D. Abramovich, J. F. Burna/, and J. K. Kramer Cambridge Studies in Advanced Mathematics 33 1992 183 pp. 41669-8 Hardcover $44.95

Available at bookstores or from

CAMBRIDGE UNIVERSITY PRESS

40 West 20th Street, New York, NY 10011-4211 Call toll-free 800-872-7423 MasterCardNISA accepted. Prices subject to change.


Please read the reverse.side of this form to determine what membership category you are eligible for. Then fill out this application and return it as soon as possible.

Subscriptions to the Notices and the Bulletin (New Series) are included as part of your membership.

Please indicate below the way your name should appear in the Combined Membership List.

Middle or lnititll

Place of Birth ................••....•.........••................ City Country

Date of Birth ......................•...•.......•................ Or( Month Yur

If formerly a member of AMS, please indicate dates ................. .

Check here if you are now a member of either MAA 0 or SIAM 0

Degrees, with institutions and dates .......•.......................

Present position .............•..............•.....•.............

Firm or institution .............................................. .

City Srate Zip/Country

Primary Fields of Interest (choose five from the list at right)

Secondary Fields of Interest (choose from the list at right)

Address for all mail

Telephone number(s) •.....••.......•......•......•....•.........

Electronic address ...........•.........•.••..••...•...•.•.•.•.•.

Prepayment Methods and Mailing Addresses All payments must be in U.S. Funds.

Send checks, money orders, UNESCO coupons to American Mathematical Society, P.O. Box 1571, Annex Station, Providence, Rl 02901-1571

To use VISA or MasterCard, fill in information requested and mail to American Mathematical Society, P.O. Box 6248, Providence, Rl 02940-6248 or call (40 1) 455-4000 or 1-800-321-4AMS.

For Foreign Bank Transfers: The name and address of the AMS bank is Rhode Island Hospital Trust National Bank, Account #000-753-111, One Hospital Trust Plaza, Providence, Rl 02903, U.S.A.

VISA o MasterCard o . . . . . . . . . . . . . . . . . . . . . . . . . . . . ........ . Account number

Application for Membership 1993

(January-December)

Date ................ 19 ............... .

Fields of Interest If you wish to be on the mailing lists to receive information about publications in fields of mathematics in which you have an interest, please consult the list of major headings of the 1991 Mathematics Subject Classification below. Select no more than five category numbers and fill in the numbers where indicated on the left. These categories will be added to your computer record so that you will be informed of new publications or special sales in the fields you have indicated.

00 General 0 1 History and biography 03 Mathematical logic and foundations 04 Set theory 05 Combinatorics 06 Order, lattices, ordered algebraic structures 08 General algebraic systems 11 Number theory 12 Field theory and polynomials 13 Commutative rings and algebras 14 Algebraic geometry 15 Linear and multilinear algebra; matrix theory 16 Associative rings and algebras 17 Nonassociative rings and algebras 18 Category theory, homological algebra 19 K-theory 20 Group theory and generalizations 22 · Topological groups, Lie groups 26 Real functions 28 Measure and integration 30 Functions of a complex variable 31 Potential theory 32 Several complex variables and analytic spaces 33 Special functions 34 Ordinary differential equations 35 Partial differential equations 39 Finite differences and functional equations 40 Sequences, series, summability 41 Approximations and expansions 42 Fourier analysis 43 Abstract harmonic analysis 44 Integral transforms, operational calculus 45 Integral equations 46 Functional analysis 4 7 Operator theory 49 Calculus of variations and optimal control;

optimization 51 Geometry 52 Convex and discrete geometry 53 Differential geometry 54 General topology 55 Algebraic topology 57 Manifolds and cell complexes 58 Global analysis, analysis on manifolds 60 Probability theory and stochastic processes 62 Statistics 65 Numerical analysis 68 Computer science 70 Mechanics of particles and systems 73 Mechanics of solids 76 Fluid mechanics 78 Optics, electromagnetic theory 80 Classical thermodynamics, heat transfer 81 Quantum theory 82 Statistical mechanics, structure of matter 83 Relativity and gravitational theory 85 Astronomy and astrophysics 86 Geophysics 90 Economics, operations research, programming,

games 92 Biology and other natural sciences, behavioral

sciences 93 Systems theory; control 94 Information and communication, circuits

M3NO

Membership Categories

Please read the following to determine what membership category you are eligible for, and then indicate below the category for which you are applying.

For ordinary members whose annual professional income is below $45, 000, the dues are $81, for those whose annual professional income is $45,000 or more, the dues are S1 08.

The CMS Cooperative Rate applies to ordinary members of the AMS who are also members of the Canadian Mathematical Society and reside outside of the U.S. For members whose annual professional income is $45,000 or less, the dues are $69 and for those whose annual professional income is above $45,000, the dues are $92.

For a joint family membership, one pays ordinary dues, based on his or her income, and the other pays ordinary dues based on his or her income. Jess $20. (Only the member paying full dues will receive the Notices and the Bulletin as a privilege of membership, but both members will be accorded all other privileges of membership.)

Minimum dues for contributing members are $162. For either students or unemployed individuals, dues are $2 7, and annual

verification is required. The annual dues for reciprocity members who reside outside the U.S. and

Canada are $54. To be eligible for this classification. members must belong to one of those foreign societies with which the AMS has established a reciprocity agreement. and annual verification is required. Reciprocity members who reside in the U.S. or Canada must pay ordinary member dues ($81 or $108).

The annual dues for Category-S members, those who reside in developing countries are $2 7.

Members can purchase a multi-year membership by prepaying their current dues rate for either two, three, four or five years. This option is not available to either unemployed or student members.

7993 Dues Schedule (January through December)

For any category of membership where more than one dues level is given, see the above for descriptions of Members' Categories.

Ordinary member ............•.•.••................ D $81 D $1 08

CMS Cooperative rate ............................... D $69 D $92

Joint family member (full rate) ........................ D $81 D $108

Joint family member (reduced tate) ..•.•............... D $61 D $88

Contributing member (minimum $162) .•......................... D

Student member (please verify) 1 •••••••••••••••••••••••••••• D $27

Unemployed member (please verify)2 .•••••••••••••••••...••• D $27

Reciprocity member (please verify)3 •.•.••.••..• D $54 D $81 D $1 08

Category-S member ...•................................... 0 $27

Multi-year membership ..•.......•.......... $ ...... for •...•. years

1.Student Verification (sign below)

I am a full-time student. at . ...•...•.......••..........•........•...

..........•.......•....•.•..•.... currently working toward a degree.

~ Unemployed Verification (sign below) I am currently unemployed and actiVely seeking employment. My unemployment status is not a result of voluntary resignation or of retirement from my last position.

3 Reciprocity Membership Verification (sign below) I am currently a member of the society indicated on the right and am therefore eligible for reciprocity membership.

Reciprocating Societies

0 Allahabad Mathematical Society 0 Asociaci6n Matematica Espanola 0 Australian Mathematical Society 0 Berliner Mathematische Gessellschaft e.V. 0 Calcutta Mathematical Society 0 Dansk Matematisk Forening 0 Deutsche Mathematiker-Vereinigung e.V. 0 Edinburgh Mathematical Society D Gesellschaft fiir Angewandte

Mathematik und Mechanik 0 Glasgow Mathematical Association 0 Indian Mathematical Society 0 Iranian Mathematical Society 0 Irish Mathematical Society 0 fslenzka Staer8frae8afelagi6 0 Israel Mathematical Union D Janos Bolyai Mathematical Society 0 Korean Mathematical Society 0 London Mathematical Society 0 Malaysian Mathematical Society 0 Mathematical Society of Japan 0 Mathematical Society of the Philippines 0 Mathematical Society of the Republic of China 0 New Zealand Mathematical Society D Nigerian Mathematical Society 0 Norsk Matematisk Forening 0 Osterreichische Mathematische Gesellschaft 0 Polskie Towarzystwo Matematyczne 0 Punjab Mathematical Society 0 Ramanujan Mathematical Society 0 Real Sociedad Matematica Espanola 0 Sociedad Colombians de Matematica D Sociedad de Matematica de Chile 0 Sociedad Matematica de Ia

Republica Dominicans 0 Sociedad Matematica Mexicana 0 Sociedade Brasileira Matematica 0 Sociedade Brasileira de Matematica

Aplicada e Computacional 0 Sociedade Paranaense de Matematica 0 Sociedade Portuguesa de Matematica 0 Societat Catalana de Matematiques 0 Societe de Mathematiques Appliquees

et lndustrielles 0 Societe Mathllmatique de Belgique 0 Societe Mathllmatique de France 0 Societe Mathllmatique Suisse 0 Southeast Asian Mathematical Society 0 Suomen Matemaattinen Yhdistys 0 Svenska Matematikersamfundet D Union Mathematics Argentina 0 Union of Czechoslovak Mathematicians

and Physicists 0 Unione Matematica ltaliana 0 Vijnana Parishad of India 0 Wiskundig Genootschap

Sign•tute

Order Form

Ordered by: Mail to (if different):

Nrune -------------------------------------- Nrune --------------------------------------Admess __________________________________ _ Admess ________________________________ __

City--------------- State ----- Zip-----

Country----------------------------------

City--------------- State ---- Zip----

Country------------------------------------Code ____________________________________ _ Code ____________________________________ _

For orders with remittances: American Mathematical Society P.O. Box 1571, Annex Station Providence, Rhode Island 02901-1571 401-455-4000

Qty Code Title

For VISA or MasterCard orders: American Mathematical Society P.O. Box 6248 Providence, Rhode Island 02940-6248 800-321-4AMS (321-4267)

Price

$

Total

$

Optional delivery by air to foreign addresses, add $6.50 per copy.

Residents of Canada, please include 7% GST. Total due $

__ Check or Money Order VISA MasterCard I NOTI I

Card Number ________________________ _ Expiration Date, __________ __

Signature------------------------------------------------------

CHARGE BY PHONE IN THE UNITED STATES AND CANADA 800-321-4AMS (321-4267)

Customers in these areas should request price information and order directly frqm the indicated distributors: EUROPE, MIDDLE EAST, AFRICA: Oxford University Press, Walton Street, Oxford OX2 6DP England, Tel: 0865 56767, Telefax 0865 56646, Telex 837330 OXPRES G; exclusive distributor of AMS books. JAPAN: Maruzen Co. Ltd., P. 0. Box 5050, Tokyo International! 00-31, Japan. Tel. Tokyo 03-3272-7211, Telex J26516; exclusive distributor of AMS books and journals. INDIA: Allied Publishers Pvt. Ltd., 15, J. N. Herdia Marg., Ballard Estate, Bombay 400038, India; exclusive distributor of AMS books.

Please send me information about AMS membership

__ individual membership __ institutional membership __ corporate membership

institutional associate

Publications, videotapes, and miscellaneous items are sent via UPS to U.S. residential addresses, RPS or UPS to U.S. business addresses, and as printed matter elsewhere unless another delivery method is requested. Charges for surface delivery are paid by the AMS. For air delivery outside the U. S., please include an additional $6.50 per item. Software is sent via UPS Second Day Air to U.S. addresses and via U.S. Postal Service air parcel post to addresses outside the United States. Add shipping and handling for software: $8 per order in the U.S. and Canada; outside the U.S. and Canada $35 per order ($15 per order for AMS-TeX and/or AMSFonts only). Journal back numbers, Mathematical Reviews indexes, and review volumes are sent via surface mail to any destination unless air delivery is requested. Postage for surface mail is paid by the AMS. Air delivery rates, which will be quoted upon request, must be paid by the purchaser.

Staple here

Fold here

BUSINESS REPLY MAIL FIRST-CLASS MAIL PERMIT NO. 554B PROVIDENCE, RI

POSTAGE WILL BE PAID BY ADDRESSEE

Membership and Customer Services AMERICAN MATHEMATICAL SOCIETY P. 0. Box 6248 Providence, RI 02940-9943

Fold here

Fasten PAYMENT securely

NO POSTAGE

NECESSARY

IF MAILED

IN THE

UNITED STATES

Change of Address

Members of the Society who move or who change positions are urged to notify the Providence Office as soon as possible.

Journal mailing lists must be printed four to six weeks before the issue date. Therefore, in order to avoid disruption of service, members are requested to provide the required notice well in advance.

Besides mailing addresses for members, the Society's records contain information about members' positions and their employers (for publication in the Combined Membership List). In addition, the AMS maintains records

of members' honors, awards, and information on Society service. Information of the latter kind appears regularly in Notices.

When changing their addresses, members are urged to cooperate by supplying the information requested below. The Society's records are of value only to the extent that they are current and accurate.

If your address has changed or will change within the next two or three months, please fill out this form, supply any other information appropriate for the AMS records, and mail to the address given below.

Name:----------------- Customer code:-----------------

Change effective as of:-----------------------------------

Old mailing address:----------------------------------

NEW mailing address:---------------------------------

New position:--------------------------------------

If mailing address is not that of your employer, please supply the following information:

New employer: ___________________________________ ___

Location of employer:----------------------------------City State/Province Country Zip Code

Telephone number(s): --------------------------------

Electronic address(es): ---------------------------------

Recent honors and awards:---------------------------------

Personal items for publication in Notices: ----------------------------

Mail completed form to:

Customer Services, AMS, P.O. Box 6248, Providence, RI 02940

or send the above information by email to:

[email protected] or [email protected].

Staple here

Fold here

BUSINESS REPLY MAIL FIRST-CLASS MAIL PERMIT NO. 554B PROVIDENCE, RI

POSTAGE WILL BE PAID BY ADDRESSEE

Membership and Customer Services AMERICAN MATHEMATICAL SOCIETY P. 0. Box 6248 Providence, RI 02940-9943

Fold here

Fasten PAYMENT securely

NO POSTAGE

NECESSARY

IF MAILED

IN THE

UNITED STATES

MAA Minicourse Preregistration Form, San Antonio, Texas January 13-16, 1993

NOTE: This is NOT an AMS Short Course Form. Please use the Joint Meetings Preregistration/Housing Form to preregister for the AMS Short Course.

To register for MAA Minicourse(s), please complete THIS FORM or a PHOTOCOPY OF THIS FORM and return it with your payment to:

Minicourse Coordinator Mathematical Association of America 1529 Eighteenth Street, N.W. Washington, DC 20036 Telephone: 202-387-5200

Telephone: -----------(Please print) Surname First Middle

Street address City State Zip

• Deadline for MAA Minicourse preregistration: November 13, 1992 (After this date, potential participants are encouraged to call the MAA head-quarters at 800-331-1622.)

• Deadline for cancellation in order to receive a 50% refund: December 30, 1992

• Each participant must fill out a separate Minicourse Preregistration form.

• Enrollment is limited to two Minicourses, subject to availability.

• Please complete the following and send both form and payment to Minicourse Coordinator at the above address:

I would like to attend 0 1 Minicourse

Please enroll me in MAA Minicourse(s):

0 2 Minicourses

#-and#-

In order of preference, my alternatives are: #-- and #--

• PAYMENT

Check enclosed: $ Credit card type: 0 MasterCard 0 Visa

Credit card # Expiration date: ---------------

Your Employing Institution Signature (as it appears on credit card)

Minicourse Number and Name

1. Alternatives to the lecture method in collegiate mathematics

2. How to make effective use of inexpensive pocket computers to develop the concepts and techniques of calculus

3. All right! I've got a graphing calculator. What happens next?

4. Unifying themes in discrete mathematics

5. Using supercalculators to enhance instruction and learning in linear algebra

6. Teaching the introductory statistics course

7. Project CALC: Calculus as a laboratory course

8. Environmental models

9. Earth algebra: College algebra with applications to environmental issues

10. Why, when and how to use CAS calculators in calculus and differential equations instruction

11. Using group projects in calculus

12. Bringing calculus to life

13. Teaching mathematical modeling

14. Linear algebra, applications and computing

15. The Harvard calculus reform project: Hands-on experience with the project materials

16. Instituting a mathematics placement program: Creating order out of chaos in freshman mathematics

17. Mathematics in a real and complex world

Organized by

Julian Weissglass

Franklin Demana & Bert K. Waits

Iris Brann Fetta

Ralph Grimaldi

Donald R. LaTorre

Donald L. Bently, Robin Lock, Mary Parker, Thomas L. Moore & Jeffrey A. Witmer

Lawrence C. Moore & David A. Smith

Roland H. Lamberson

Christopher Schaufele & Nancy Zumoff

John Kenelly & Gil Proctor

Stephen Hilbert, John Maceli, Eric Robinson, Diane Schwartz & Stanley Seltzer

Bob Decker

J. S. Hartzler

Gareth Williams

Deborah Hughes Hallett, Sheldon P. Gordon, William McCallum & Thomas Tucker

Geoffrey Akst

Frank Wattenberg

Fee

$45

$45

$36

$36

$36

$36

$36

$36

$36

$45

$36

$45

$36

$45

$45

$36

$36

n I plan on preregistering for the San Antonio, Texas meetings ONLY in order to attend the MAA Minicourse(s) indicated above. It is my understanding tnat, should the course(s) of my choice be filled, full refund of the San Antonio meetings preregistration fee will be made.

Assistantships and Graduate Fellowships in the Mathematical Sciences

1992-1993

Assistantships and Graduate. FellowshiPS in the tical Sciences Mathema

American Mathematical society

This publication is an indispensable source of information for students seeking support for graduate study in the mathematical sciences. Providing data from a broad range of academic institutions, it is also a valuable resource for mathematical sciences departments and faculty.

Assistantships and Graduate Fellowships brings together a wealth of information about resources available for graduate study in mathematical sciences departments in the U. S. and Canada. Information on the number of faculty, graduate students, and degrees awarded (B.A.s, M.A.s, and Ph.D.s) is listed for each department when provided. Stipend amounts and the number of awards available are given, as well as information about foreign language requirements and the acceptability of critical, expository, or historical theses for the doctoral degree. Numerous display advertisements from mathematical sciences departments throughout the country provide additional information.

Also listed are sources of support for graduate study and travel, summer internships, and graduate study in the U.S .. for foreign nationals. Finally, a list of reference publications for fellowship information makes Assistantships and Graduate Fellowships a centralized and comprehensive resource.

1991 Mathematics Subject Classification: 00 ISBN 0-8218-0180-5, ISSN 1040-7650 608 pages (softcover), October 1992 lndiv. mem. $10, List $17, lnst. mem. $17 To order please specify ASST/92NA

All prices subject to change. Prepayment required. Order from: American Mathematical Society, P.O. Box 1571, Annex Station, Providence, Rl 02901-1571, or call toll free 800-321-4AMS in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada, please include 7% GST.

Instructions for Applicant and Employer Forms

Applicant forms submitted for the Employment Register by the November 13 deadline will be photographically reproduced in the December 1992 issue of Employment Information in the Mathematical Sciences (ElMS). Resumes of only those attending will be posted at the meeting.

Employer forms submitted by the November 13 deadline will be photographically reproduced for the Winter List of Employers. Employers are encouraged to provide more than one interviewer when they are able to do so, in order to increase the number of interviews which may be scheduled. Please take care to indicate the number of interviewers for whom simultaneous interviews may be scheduled. Please refer to the Employment Register text for specific instructions.

The forms must be carefully typed using a fresh black ribbon. It is important that the keys be clean and make a sharp, clear impression. Do not erase-it causes smudges which· reproduce when photographed. Use a correcting typewriter or correction tape or fluid if necessary. Submit the original typed version only. Copies will not reproduce properly and are not acceptable. Hand lettered forms will be returned. Do not type outside the box.

All forms must be received by the Society by November 13, 1992 in order to appear in the special issue of ElMS or the Winter List of Employers and must be accompanied by the Preregistration/Housing Form printed in this issue, if attending the meeting.

® Specialties

AL=Algebra BI = Biomathematics CB = Combinatorics CN=Control CT = Circuits EC = Economics FA = Functional Analysis Fl. = Fluid Mechanics HM = History of Math MB = Mathematical Biology MO = Modelling MS =Management Science NT = Number Theory PR = Probability ST = Statistics

AN = Analysis BS = Biostatistics

CM = Communication CS = Computer Science

DE = Differential Equations ED = Mathematical Education

Fl = Financial Mathematics GE = Geometry

LO=Logic ME = Mechanics

MP = Mathematical Physics NA =Numerical Analysis

OR = Operations Research SA = Systems Analysis

TO = Topology

® (!) Duties and Experience

T=Teaching G=Graduate C = Consulting S = Supervision GOV = Government

E=East C=Central

(!)Location

W = West 0 = Outside U.S.

U = Undergraduate R=Research

A = Administration IND =Industry

DP = Data Processing

S =South M=Mountain I = Indifferent

APPLICANT FORM

MATHEMATICAL SCIENCES EMPLOYMENT REGISTER JANUARY 13-15, 1993

SAN ANTONIO, TEXAS

1. Form must be typed. (Please see instructions on facing page. No other format will be accepted.) 2. This form CANNOT be submitted by electronic mail. 3. Hand lettered forms will be returned. Do not type beyond the box. 4. Please check if Preregistration/Housing Form previously sent. 0 5. Return form with payment with your Preregistration/Housing Form by November 13 to AMS,

PO Box 6887, Providence, RI 02940, in order to be included in the December issue of ElMS.

APPLICANT: Nam"

CODE: Mailing Address (include zip code\

@ Specialities

@ Career objectives and accomplishments

ACADEMIC: D Research 0 University Teaching College Teaching: D 4-year 0 2-year

Would you be interested in non-academic employment? Dyes 0 no Near-term career goals

Significant achievements

Paper to be presented at this meeting:

@Degree Year (expected) Institution

--- @No. of abstracts, internal reports __

--- ®No. of papers accepted

--- ® No. of books and patents

PROFESSIONAL EMPLOYMENT HISTORY:

@Employer Position @Experience Years

1. --tO--2. __ to

--3. __ to __

4. --to--DESIRED POSITION:

CD Duties Available mo. __ /yr. __ (J) Desired geographical location

References (Name and Institution)

Citizenship: (check one) 0 U. S. Citizen 0 Non-U.S. Citizen, Permanent Resident

0 Non-U.S. Citizen, Temporary Resident

AVAILABLE FOR INTERVIEWS:

Session 1 D Session2 D Session3 0 Session4 D Thurs. AM 9:00-12:15 Thurs. PM 1:30-4:45 Fri. AM 9:00-12:15 Fri. PM 1:30-4:45

I do not plan to attend the San Antonio meetings. D

EMPLOYER FORM

MATHEMATICAL SCIENCES EMPLOYMENT REGISTER JANUARY 13-15, 1993

SAN ANTONIO, TEXAS

1. Form must be typed. (Please see instructions on page facing Applicant Form. No other format will be accepted.)

2. This form CANNOT be submitted by electronic mail. 3. Hand lettered forms will be returned. Do not type beyond the box. 4. Please check if Preregistration/Housing Form previously sent. 0 5. Return form with payment with your Preregistration/Housing F.orm by November 13 to AMS,

PO Box 6887, Providence, RI 02940, in order to be included in the Winter List of Employers.

EMPLOYER CODE

fustirution ____________________________________________________________ _

Departmem __________________________________________________________ __

City, State, Zip---------------------------------------------------------

Name of futerviewer(s) !. ________________________________________________ __

® ® © ® ® ®

2. _______________________ _

3. _______________________ _

4. ________________________________________________ __

Specialties Sought __________________________________________________ _

Title(s) ofPosition(s) __________________________________________________ _

Number of Positions ____________ _

Starting Date ------,-,---o----'-----==-----Month Year

Term of Appointment-------::,------Years

Renewal 0 Possible 0 Impossible

Tenure Track Position DYes ONo

Teaching Hours per Week __ _

@ Degree Preferred ________ _ Degree Accepted ________ _

QD Duties ________________________________________________________ _

CD ExperiencePreferred~-------------------------------------------------Citizenship Restriction (Check One) 0 U.S. Citizen 0 Non-U.S. Citizen, Permanent Resident

0 Non-U.S. Citizen, Temporary Resident

Available for futerviews

Number of Interviewers

0 Not Interviewing

0 Session 1 (Thurs. AM, 9:00-12:15)

0 Session 3 (Fri. AM, 9:00-12:15)

Session 1: Interviewers

Session3: Interviewers

0 Session 2 (Thurs. PM, 1 :30-4:45)

0 Session 4 (Fri. PM, 1 :30-4:45)

Session2: Interviewers

Session 4: Interviewers

Preregistration/Housing Form, San Antonio, Texas January 13-16, 1993

Please complete this form and return it with your payment to Mathematics Meetings Service Bureau

P.O. Box 6887, Providence, Rhode Island 02940- Telephone: (401) 455-4143-Telex: 797192

TO: OFFICERS, SPEAKERS, INVITED GUESTS, AND STAFF OF THE JOINT MATHEMATICS MEETINGS, SAN ANTONIO, TEXAS

DEADLINES: Room Lottery Qualification October 30, 1992 Joint Meetings & AMS Short Course Preregistration/

Employment Register/Hotel Reservations/Tickets Final Preregistration ONLY (No housing, Employment Register, and/or tickets) Housing Changes/Cancellations 50% Refund on Tickets 50% Refund Joint Meetings Preregistration/Employment Register/AMS Short Course

JOINT MATHEMATICS MEETINGS Member of AMS, ASL, CMS, MAA

* Emeritus Member of AMS or MAA Nonmember

* High School Teachers or Librarians * Unemployed

AMS SHORT COURSE

* Member/Nonmember Unemployed or Emeritus

EMPLOYMENT REGISTER -Employer fee (1st Interviewer) -Employer fee (2nd/ 3rd Interviewer) -Applicant fee - Posting fee for job descriptions for noninterviewing employers

November 13, 1992 December 11, 1992 December 7, 1992 December 30, 1992 (no refunds after this date) January 10, 1993 (no refunds after this date)

REGISTRATION FEES Preregistration by December 11, 1992

$ 115 30

178 30 30

70 30

Preregistration by November 13, 1992

125 60 30 30

(N.B.: A separate form appears in this issue for preregistration for MAA Minicourses)

* See section on "How to Preregister" in Notices or Focus for definitions of various registration categories.

PREREGISTRATION SECTION: Please check the function(s) for which you are preregistering:

Joint Meetings D AMS Short Course (January 11-12, 1993) D Employer 0 Co-Interviewer D Applicant D Posting D 1)

2)

Telephone: -----------(Please print) Surname First Middle

(Mailing address) (e-mail address) I do not wish my badge, program, and/or Employment Register material to be mailed; however, the mailing address for my acknowledgement is given above. D

3) Badge information: Affiliation----------------------------------------------

4) Emeritus member D Unemployed D Librarian D High School Teacher D 5) Member of: AMS D ASL D CMS 0 MAA 0 Nonmember 0 AWM D NAM 0 MR Classification # ------6) Joint Meetings fee$ 7) AMS Short Course fee$ 8) Employer fee(s) $ 9) Co-Interviewer fee(s) $ ----

10) Applicant fee$ 11) Posting fee$ 12) Hotel deposit$ (necessary ONLY if paying deposit by check)

13) Tickets: __ AMS 25-Year Banquet @ $27 each = $ __ Veg. meal 0 __ MAA Monthly Banquet @ $27 each = $ --Veg. meal 0 __ MER Banquet @ $28 each = $ __ Veg. meal 0 __ AWM Workshop Dinner @ $28 each=$ -- Veg. meal 0 __ Country Western Social @ $10 each = $ I will be attending the graduate student reception on 1/12/93. 0 ·

14) Total amount enclosed for 6 through 13 $ Method of Payment: 0 Credit Card (Visa or MasterCard only) 0 Purchase Order (original institutional PO attached) 0 Check (payable to AMS; Canadian checks must be marked in "U.S. Funds")

Credit card type: Card number: Expiration date: --------If this is your credit card, please print your name as it appears on the credit card on the line below as well as sign your name. If this is not your credit card, please print card holder's name as it appears on the credit card on the line below, and have the card holder sign:

(Printed name) See reverse for hotel reservations. 0 I will not require housing.

For office use only:

Codes: Options:

Dates: Hotel Deposit

Special Remarks:

(Signature) 0 I am making my own arrangements.

Hotel:

Total Amt. Paid:

0 I am staying in the local area.

Room type:

HOUSING SECTION: PREREGISTRATION/HOUSING FORM, San Antonio, Texas January 13-16, 1993

Please rank hotels in order of preference by writing 1, 2, 3, etc. in the spaces at the left on form, and by circling the requested room type and rate. If the rate requested is no longer available, you will be assigned a room at another hotel at the next available rate. If not all hotels are ranked, and all rooms have been filled at the ranked hotels, the assignment will be made at an unranked hotel with the next available rate. Rates listed below are subject to 13% sales/occupancy tax. GUARANTEE REQUIREMENTS: $50 by check OR a credit card guarantee with VISA, MasterCard, or American Express (for housing only). PLEASE SUPPLY THIS INFORMATION ON THE REVERSE, together with mailing address for confirmation of room reservation

Order of Distance Single Double Double Triple Triple choice from Conv. Ctr. 1bed 2 beds 2 beds 2 beds wfcot

Hyatt Regency .30 miles $ 90 $100 $100 $100 $110

Hilton Palacio Del Rio .06 miles

Regular 83 93 93 103 103

Student*** 73 73 73 73 93

Marriott Riverwalk (HEADQUARTERS) .06 miles

Regular 83 93 93 103 113

Student*** 73 73 73 73 83

Marriott Rivercenter .10 miles

Regular 82 92 92 112 132

Student*** 72 72 72 72 92

Plaza .10 miles

Regular 81 91 91 101 111

Student*** 71 71 71 71 81

The Crockett .20 miles

Regular 77 77 77 77 87

Student*** 67 67 67 67 77

Menger .20 miles

Regular 74 84 84 94 104

Student*** 70 70 70 70 80

Emily Morgan .80 miles

Regular 73 73 73 83 93

Student*** 63 63 63 63 73

Holiday Inn Riverwalk .50 miles 65 65 65 75 85

Travelodge on the River .50 miles 65 65 65 75 83 - -

* Reservations for suites must be made directly with the Service Bureau. The hotel can supply general information only. ** Rollaway fee for non-family members is an additional $20 per day.

Quad Quad Suites* 2 beds 2 beds wfcot (starting rates)

$100 $110 $465+

113 113 325+

73 93 N/A

113 123 478+

73 83 N/A

132 152 225+

72 92 N/A

111 121 250+

71 81 N/A

77 87 250+

67 77 N/A

104 114 152+

70 80 N/A

93 103 NfA

63 73 N/A

85 95 165+

75 83 N/A

*** Participant must be a certified student or unemployed (as described in the "How to Preregister" section of Notices or Focus) to qualify for these rates.

Special housing requests:

Q Please check here if you are physically challenged and have special needs. A staff member will call you for further information to insure that you are placed in a property that is complying With ADA rules and to insure that your stay in San Antonio is comfortable. Phone number where you can be reached:

I will arrive on (date) at a.m.fp.m., and depart on (date) at a.m./p.m.

Please list other room occupants, indicating their full name, arrival, and departure. Please also indicate ages of children. Please check here if one of the occupants is your spouse D

BOOKS Large Discounts for Members of the AMS

25% DISC,fJll_'~ft($ETJ"'LESFOR INDIVIDtlAl.<1AEMSERSONl.Y

Combinatorics'90Recent Trends and<Applicatigo$

Proceedings of the G()nferehc~,iGaeta.,Uaty,20,..27May 1992

edited by A. Barlotti, A..BiChataLP~V~<Ceccheriniand G. Tallini

Annals of Oiscrete Matherr'laticsVoturne52

1992 x + 566 pagesList Price: US $ 165.50/ DfL290.00ISBN 0-444-89452-7

This valuable source of inforrnationabootrecentdevelopments in combinatorics<givesspecial regardto the geometric point of view~<lncludEKiare;finitegeometries, partial geometries,Buekenhoutgeometries, transitive permutatiOr'lSE.lts.flat..transitivegeometries, design theory, finite groups, near-ringsand semifields, MV-algebras,<cpdingfheory,cryptography and graph theory.

Interconnection Networksedited by J.-C. Bermond

Reprinted from the journal OiscreteApptiedMathematics

Topics in Oiscrete Mathematics VolumeS

1992 vi ii + 580 pagesList Price: US $ 271.50 / Ofl. 475.00ISBN 0-444-89342-3

Most of these articles deal with static orpoint-to-point interconnection networks. Newconstructions are proposed, based orltootsfrQrT1discrete mathematics. Many new records have beenestablished in the table of the maximumf'lumberofvertices of graphs with maximum degree Aanddiameter O. About 40% of the articles deafwith faulttolerance or vulnerability properties.

Group Representationsby G. Karpilovsky

Volume 1Part A: Background Material and Part B:Introduction to Group Representations andCharacters

North-Holland Mathematics Studies Volume 175

1992 xxxii + 1274 pages (in 2 vals.)List Price: US $ 271.50 I Of!. 475.00ISBN 0-444-88632-X

This is the first of a multi-volume treatise on grouprepresentations, the aim being to provideself-contained, comprehensive coverage of themainstream theory. The audience for these volumesconsists of aspiring graduate students andmathematicians working in the field of grouprepresentations. No mathematical knowledge ispresupposed beyond the rudiments of abstractalgebra, set theory and field theory; however, acertain maturity in rnathematical reasoning isrequired.

Fourth CzechoslovakianSymposium on Combinatorics,Graphs and ComplexityProceedings of the Symposium, Prachatice,Czechoslovakia, 1990

editedbyJ.. Nesetril and M. Fiedler

Annals ofDiscrete Mathematics Volume 51

1992 x -+ 400 pagesList Price: US $ 140.00/ Ofl. 245.00ISBN 0-444-89543-4

Thi$volumein the Annals of Discrete Mathematicsbrings together contributions by renownedresearchers in combinatorics, graphs andcomplexity. The conference on which this book isbasedattracted J 70 mathematicians and computerscientists from around the world, so it represents anintemational1detailed view of recent research.

Mathematical Problems in Elasticityand Homogenizationby O.A. Oleinik, A.S. Shamaev and G.A. Yosifian

Studies in Mathematics and its Applications Volume26

1992 xiv + 398 pagesList Price: US $ 128.50/ Ofl. 225.00ISBN 0-444-88441-6

This monograph is based on research undertaken bythe authors during the last ten years. Oealt with arehomogenization problerrls in elasticity and problemsrelated to composite and perforated elastic materials.This study of processes in stronglynon-homogeneous media brings forth a large numberof purely mathematical problems which are importantfor applications. Some of the methods can beextended to non-stationary equations.

50% DISCOUNT ON THIS TITLEFOR LIBRARIES AND INDIVIDUALMEMBERSIntroduction to Operator Theory andInvariant Subspacesby B. Beauzamy

North-Holland Mathematical Library Volume 42

1988 xiv +- 358 pagesList Price: US $ 102.50/ Ofl. 179.00ISBN 0-444-70521-X

This monograph only requires of the reader a basicknowledge of classical analysis. It starts withfinite-dimensional spaces and general spectraltheory, but very soon material is presented that leadsto new directions for research. Part II concernscompactness and its applications, Part III containsalgebra techniques, Part IV deals with analyticfunctions, Part V presents dilations and extensions,while Part VI deals with the Invariant SubspaceProblem.

SPECIAL DISCOUNTORDER FORM

Yes,. please send me copy(ies) ofList priceas shown

Discountprice

Send this form (or a photocopy) to:

ELSEVIER SCIENCE PUBLISHERSAttn: Marijcke Haccou, P.O. Box 1031000 AC Amsterdam, The NetherlandsFAX: (31)(20) 5862-616

Customers in the USA and Canada:ELSEVIER SCIENCE PUBLISHERSAttn: Judy Weislogel, P.O. Box 945Madison Square StationNew York, NY 10160-0757, USAFAX: (212) 633-3880

I am.R mernberofthe American Mathematical Society.

My membership number is:.

ClPayment enclosed: (Bank Draft, Eurocheque, International Money Order, Postal Cheque).

[J<Charge my credit card: [] Access Eurocard MasterCard fJ American Express VISA

Card No.: Valid until: . _

Name _

Address _

Date __.......... ...........--------..........--------- Signature

ELSEVIER SCIENCEFJUBllSHERSIMPRINT: NORTH-HOLUAND

No postage will be added to prepaid book orders.US $ prices are valid only in the USA and Canada.In all other countries the Dutch Guilder (Dfl.)price is definitive. Customers in The Netherlandsplease add 6% BTW. All prices are subject tochange without prior notice.

NEW TITLES FROM SPRINGER-VERLAG

H.-0. PEITGEN, H. JURGENS and D. SAUPE, all of the University of Bremen, Germany

CHAOS AND FRACTALS New Frontiers of Science

The fourteen chapters of this book cover the central ideas and concepts of chaos and fractals. They show how these topics relate to each other as well as to many other areas of mathematics and natural phenomena. Throughout, an effort has been made to demonstrate the inherent beauty of fractals and chaos. Each chapter is complemented by a "Program of the Chapter" which provides computer code for a central experiment. Two appendices ground the book, the first discusses the details and ideas of fractal image compression. The second introduces the foundations and implications of multifractals. Table of Contents: Introduction: Causality

Principle. Determmistic Laws and Chaos I. The Backbone of Fractals: Feedback and the

lterator 2. Classical Fractals and Self-Similarity 3. Limits and Self-Similarity 4. Length, Area and Dimension: Measuring

Complexity and Scaling Properties 5. Encoding Images by Simple Transfonmations 6. The Chaos Game: How Randomness Creates

Deterministic Shapes 7. Recursive Structures: Growing of Fractals

and Plants 8. Pascal's Triangle: Cellular Automata and

Attractors 9. Irregular Shapes: Randomness in Fractal

Constructions 10. Detenministic Chaos: Sensitivity, Mixing

and Periodic Points II. Order and Chaos: Period Doubling and its

Chaotic Mirror 12. Strange Attractors: The Locus of Chaos 13. Julia Sets: Fractal Basin Boundaries 14. The Mandelbrot Set: Ordering the Julia Sets Appendix A: A Discussion of Fractal Image

Compression by Yuval Fisher Appendix B: Multifractal Measures by Carl J.

G. Evertsz and Benoit B. Mandelbrot

1992/992 pp .. 24 color pp./Hardcover $49.00/ISBN 0-387-97903-4

J. STILLWELL, Monash University, Clayton, Australia

GEOMETRY OF SURFACES The geometry of surfaces is an ideal starting point for students, offering the simplest possible introduction to fundamentals of modem geometry: curvature, group actions and covering spaces. Also covers all the topological types of compact 2-dimensional manifolds.

1992/216 pp .. 165 illus.;Softcoverj$35.00 ISBN 0-387-977 43.{) Universitext

S. AXLER and W. RAMEY, Michigan State University; P. BOURDON, Washington & Lee University

HARMONIC FUNCTION THEORY Avoiding the disorganization and inconsistent notation of other expositions, the authors approach the field from a function-theoretic perspective, emphasizing techniques and results that will seem natural to mathematicians comfortable with complex function theory and harmonic analysis. Topics covered include: basic properties of harmonic functions defined on subsets of R", including Poisson integrals; properties bounded functions and positive functions, including Liouville's and Cauchy's theorems; the Kelvin transform; Spherical harmonics; hP theory on the unit ball and on half-spaces; harmonic Bergman spaces; the decomposition theorem; Laurent expansions and classification of isolated singularities; and boundary behavior.

An appendix describes routines for use with Mathematica™ to manipulate some of the expressions that arise in the study of harmonic functions.

1992/app. 248 pp., 16 illus./$39.50 ISBN: 0-387-97875-5 Graduate Text in Mathematics. Volume 137

J.H. SILVERMAN, Brown University, Providence, Rl; J. TATE, University of Texas, Austin, TX

RATIONAL POINTS ON ELLIPTIC CURVES Emphasizes the number-theoretic aspects of elliptic curves. The first part is devoted to proving the fundamental theorems of the field: The Nagell-Lutz theorem, Mordell's theorem, and Hasst:'s theorem. The remainder of the book discusses special topics and newer developments.

1992/281 pp., 34 illus./Hardcoverj$29.95 ISBN 0-387-97825-9 Undergraduate Texts in Mathematics

i ~ , _ Springer-Verlag

NEW YORK

H.S.M. COXETER, Department of Mathematics, University of Toronto

THE REAL PROJECTIVE PLANE With an appendix for Mathematica'"' by GEORGE BECK (University of Toronto)

This introduction to projective geometry can be understood by anyone familiar with high-school geometry and algebra. A strict axiomatic treatment is followed only to the point of letting the reader see how it is done, but then relaxed to avoid becoming tedious. After two introductory chapters, the concept of continuity is introduced by means of an unusual but intuitively acceptable axiom. Subsequent chapters then treat one- and two-dimensional projectivities, conics, affine geometry, and Euclidean geometry. Chapter 10 continues the discussion of continuity at a more sophisticated level, and the remaining chapters introduce coordinates and their uses.

1992/app. 232 pp., 60 illus.j$59.00 ISBN 0-387-97890-9 (Macintosh' ... diskette) ISBN 0-387-97889-5 (IBM-PC diskette)

Mathematica™ is a trademark of Wolfram Research, Inc. Macintosh™ is a trademark of Apple Computers, Inc.

ill·llllll·l;

1~D;_ liei·Miiiiliil

Order Today!

CALL Toll-Free 1-800-SPRINGER 1-800-777-4643. (NJ call 201-348-4033) or FAX 201-348-4505. Please mention S226 when ordering by phone.

WRIT£ to Springer-Verlag New York, Inc., Dept. #S226, PO Box 2485, Secaucus, NJ 07096-2491. VISIT your local technical bookstore.

Payment can be made by check, purchase order, or credit card. Please enclose $2.50 for shipping ($1.00 additional books) & add appropriate sales tax if you reside in NY, NJ, MA, PA, or CA. Canadian residents please add 7% GST.

Remember ... your 30-day return privilege is always guaranteed!

10/92 REFERENCE #: 5226