stephensmale’ mathematics,’b.s.’1952’ alumni bios.pdf · ! 2! isadore’singer’’...

20
1 Stephen Smale Mathematics, B.S. 1952 Born in Flint, MI Dr. Stephen Smale began attending the University of Michigan in 1948 with the intention of studying physics. However, upon entering the university his interests quickly changed and in 1952 he graduated with a BS in mathematics. Following this Dr. Smale continued studying mathematics at the University of Michigan under the guidance of Dr. Raoul Bott culminating in him receiving a Ph.D. for his thesis Regular Curves on Riemannian Manifolds. Shortly after having completed his Ph.D. Dr. Smale accepted a professorship at the University of California Berkeley. During this time he Dr. Smale established himself as a preeminent leader in topology by proving such results as the generalized Poincare Conjecture, the hcobordism theorem, and sphere eversion. For this work Dr. Smale was awarded one of the highest honors in mathematics the 1966 Fields Medal. In the late 1970’s Dr. Smale’s research interests shifted to the more applied aspects of mathematics. Over the next thirty years of his career Dr. Smale held appointments at various universities around the world such as the City University of Hong Kong and the Toyota Technical Institute, and further cemented himself as an expert in various fields such economics and the mathematics of protein folding. In recognition of his outstanding career Dr. Smale was awarded the Wolf Prize in 2007. Bibliography Stephen Smale, Wikipedia http://en.wikipedia.org/wiki/Stephen_Smale Stephen Smale’s Home Page, Berkeley http://math.berkeley.edu/~smale/ Stephen Smale, School of Mathematics and Statistics – University of St. Andrews http://wwwgroups.dcs.stand.ac.uk/history/Biographies/Smale.html Stephen Smale Winner of Wolf Prize in Mathematics – 2006 http://www.wolffund.org.il/index.php?dir=site&page=winners&cs=151

Upload: danghanh

Post on 05-Oct-2018

221 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: StephenSmale’ Mathematics,’B.S.’1952’ Alumni Bios.pdf · ! 2! Isadore’Singer’’ Mathematics1,’B.S.1944’!! Dr.!IsadoreSingerwasborninDetroit,MIin1924 …

  1  

Stephen  Smale    Mathematics,  B.S.  1952  

    Born  in  Flint,  MI  Dr.  Stephen  Smale  began  attending  the  University  of  Michigan  in  1948  with  the  intention  of  studying  physics.    However,  upon  entering  the  university  his  interests  quickly  changed  and  in  1952  he  graduated  with  a  BS  in  mathematics.    Following  this  Dr.  Smale  continued  studying  mathematics  at  the  University  of  Michigan  under  the  guidance  of  Dr.  Raoul  Bott  culminating  in  him  receiving  a  Ph.D.  for  his  thesis  Regular  Curves  on  Riemannian  Manifolds.         Shortly  after  having  completed  his  Ph.D.  Dr.  Smale  accepted  a  professorship  at  the  University  of  California  Berkeley.    During  this  time  he  Dr.  Smale  established  himself  as  a  preeminent  leader  in  topology  by  proving  such  results  as  the  generalized  Poincare  Conjecture,  the  h-­‐cobordism  theorem,  and  sphere  eversion.    For  this  work  Dr.  Smale  was  

awarded  one  of  the  highest  honors  in  mathematics  the  1966  Fields  Medal.      In  the  late  1970’s  Dr.  Smale’s  research  interests  shifted  to  the  more  applied  aspects  

of  mathematics.    Over  the  next  thirty  years  of  his  career  Dr.  Smale  held  appointments  at  various  universities  around  the  world  such  as  the  City  University  of  Hong  Kong  and  the  Toyota  Technical  Institute,  and  further  cemented  himself  as  an  expert  in  various  fields  such  economics  and  the  mathematics  of  protein  folding.    In  recognition  of  his  outstanding  career  Dr.  Smale  was  awarded  the  Wolf  Prize  in  2007.        Bibliography  Stephen  Smale,  Wikipedia  http://en.wikipedia.org/wiki/Stephen_Smale    Stephen  Smale’s  Home  Page,  Berkeley  http://math.berkeley.edu/~smale/      Stephen  Smale,  School  of  Mathematics  and  Statistics  –  University  of  St.  Andrews  http://www-­‐groups.dcs.st-­‐and.ac.uk/history/Biographies/Smale.html    Stephen  Smale  Winner  of  Wolf  Prize  in  Mathematics  –  2006  http://www.wolffund.org.il/index.php?dir=site&page=winners&cs=151      

Page 2: StephenSmale’ Mathematics,’B.S.’1952’ Alumni Bios.pdf · ! 2! Isadore’Singer’’ Mathematics1,’B.S.1944’!! Dr.!IsadoreSingerwasborninDetroit,MIin1924 …

  2  

Isadore  Singer    Mathematics1,  B.S.  1944    

  Dr.  Isadore  Singer  was  born  in  Detroit,  MI  in  1924  and  began  attending  the  University  of  Michigan  in  1941  with  interests  in  both  mathematics  and  physics.    After  graduating  with  a  Bachelors  of  Science  in  1944  Dr.  Singer  served  three  years  in  the  Pacific  theater  in  World  War  II  before  beginning  his  graduate  studies  at  the  University  of  Chicago  in  1947.    Three  years  later  he  was  awarded  his  doctorate  in  mathematics  for  his  thesis  Lie  Algebras  of  Unbounded  Operators  under  direction  of  Dr.  Irving  Segal.         Following  this  Dr.  Singer  held  multiple  positions  at  universities  around  the  country  until  finally  accepting  a  professorship  at  the  Massachusetts  Institute  of  

Technology  in  1960  where  he  would  spend  a  majority  of  career.    Throughout  his  long  career  he  made  numerous  contributions  to  mathematics.    None  of  these  contributions  more  impressive  than  the  Atyiah-­‐Singer  Index  Theorem,  which  is,  “One  of  the  most  significant  discoveries  in  20th  century  mathematics,  bridging  widely  different  branches  [of  mathematics]”  (MIT.)    In  honor  of  his  work  he  was  awarded  two  of  mathematics  greatest  honors  the  Steele  Prize  of  Lifetime  Achievement  and  the  Abel  Prize.    Dr.  Singer  is  currently  an  Emeritus  Institute  Professor  at  the  Massachusetts  Institute  of  Technology.      Bibliography  Isadore  Singer,  Faculty  Profile  at  MIT,  http://math.mit.edu/people/profile.php?pid=249    Isadore  Singer,  School  of  Mathematics  and  Statistics  –  University  of  St.  Andrews  http://www-­‐history.mcs.st-­‐andrews.ac.uk/Biographies/Singer.html    The  Abel  Prize  Laureates  2004    http://www.abelprize.no/c53865/seksjon/vis.html?tid=53873    Science  Lives:  Isadore  Singer,  Simons  Foundation  https://www.simonsfoundation.org/science_lives_video/isadore-­‐singer/      

                                                                                                                 

Page 3: StephenSmale’ Mathematics,’B.S.’1952’ Alumni Bios.pdf · ! 2! Isadore’Singer’’ Mathematics1,’B.S.1944’!! Dr.!IsadoreSingerwasborninDetroit,MIin1924 …

  3  

Christopher  Skinner  Mathematics,  B.S.  1993  

    Born  in  Little  Rock,  Arkansas  in  1972  Dr.  Christopher  Skinner  is  now  a  world-­‐renowned  mathematician  at  Princeton  University  focused  primarily  on  algebraic  number  theory.    However,  his  career  began  at  the  University  of  Michigan  in  1993  when  he  earned  his  Bachelors  of  Science  in  Mathematics.    Even  then  as  an  undergraduate  Dr.  Skinner  was  promising  research.    As  retired  mathematics  professor  Donald  J.  Lewis  noted,  Dr.  Skinner’s  undergraduate  thesis  was  “a  major  attack”  in  algebraic  number  theory  and  “journals  were  aware  of  and  competing  for  his  papers”  even  as  an  undergraduate.           After  graduating  from  the  University  of  Michigan  Dr.  Skinner  earned  his  doctorate  from  Princeton  University  for  his  thesis  Deformations  of  Reducible  Galois  Representations  under  the  advising  of  Dr.  Andrew  Wiles.    After  this  Dr.  

Skinner  spent  three  years  at  the  School  of  Mathematics  in  the  Institute  for  Advanced  Studies  before  returning  to  the  University  of  Michigan.    During  this  time  Dr.  Skinner  continued  building  a  reputation  as  a  first  rate  mathematician.    Leading  the  Chronicle  of  Higher  Ed  to  name  him  one  of  mathematics  eight  rising  stars.  Since  2006,  Dr.  Skinner  has  held  a  professorship  at  Princeton  University.    Bibliography  Are  Mathematicians  Past  Their  Prime  at  35?  Chronicle  of  Higher  Ed.  Guterman,  Lila  http://www.massey.ac.nz/~rmclachl/overthehill.html    Christopher  Skinner,  Math  Genealogy    http://www.genealogy.math.ndsu.nodak.edu/id.php?id=9697    Christopher  Skinner,  CV  http://math.caltech.edu/events/Skinner%20CV.pdf    Christopher  Skinner,  Institute  for  Advanced  Study  http://www.ias.edu/people/cos/users/653        

Page 4: StephenSmale’ Mathematics,’B.S.’1952’ Alumni Bios.pdf · ! 2! Isadore’Singer’’ Mathematics1,’B.S.1944’!! Dr.!IsadoreSingerwasborninDetroit,MIin1924 …

  4  

Kannan  Soundararajan  Mathematics,  B.S.  1995      

  Born  in  Chennai,  India  Dr.  Soundararajan  showed  a  talent  for  mathematics  from  an  early  age,  and  in  1991  he  won  a  silver  medal  at  the  International  Mathematical  Olympiad.    Following  this  Dr.  Soundararajan  attended  the  University  of  Michigan  where  his  prowess  for  mathematics  continued  to  shine.    In  1994  he  placed  seventh  in  the  famously  difficult  Putnam  Competition,  and  a  year  later  in  1995  Dr.  Soundararajan  was  awarded  the  first  ever  Morgan  Prize  for  Outstanding  Research  in  Mathematics  by  an  Undergraduate  Student  for  his  work  in  analytic  number  theory.    

  After  graduating  from  the  University  of  Michigan  in  1995  Dr.  Soundararajan  attended  Princeton  University  where  in  1998  he  earned  a  Ph.D.  for  his  thesis  Quadratic  Twists  of  Dirichlet  L-­‐Functions  under  the  guidance  of  Dr.  Peter  Sarnak.  Following  this  Dr.  Soundararajan  held  positions  at  the  Institute  for  Advanced  Studies  and  the  University  of  Michigan,  while  continuing  to  make  groundbreaking  strides  in  analytic  number  theory.    His  work  includes  such  milestones  as  proving  the  Quantum  Ergodicity  Conjecture  as  well  as  making  strides  on  the  famous  Riemann  Hypothesis.    For  this  work  Dr.  Soundararajan  was  awarded  the  Infosys  Prize,  the  Salem  Prize,  and  the  SASTRA  Ramanujan  Prize.    Since  2006  Dr.  Soundararajan  has  been  a  professor  of  mathematics  at  Stanford  University.      Bibliography  Prof.  Kannan  Soundararajan  2011  Laurete  Infosys  Prize  http://www.infosys-­‐science-­‐foundation.com/prize/laureates/2011/kannan-­‐soundararajan.asp    Notices  of  the  AMS,  March  1996  Vol.  34,  Num.  3  http://www.ams.org/notices/199603/comm-­‐morgan.pdf    Kannan  Soundararajan  Math  Genealogy  http://www.genealogy.math.ndsu.nodak.edu/id.php?id=53166    1991  IMO  Individual  Results  http://www.imo-­‐official.org/year_individual_r.aspx?year=1991        

Page 5: StephenSmale’ Mathematics,’B.S.’1952’ Alumni Bios.pdf · ! 2! Isadore’Singer’’ Mathematics1,’B.S.1944’!! Dr.!IsadoreSingerwasborninDetroit,MIin1924 …

  5  

Fred  Diamond  Mathematics,  B.S.  1983    

  After  graduating  from  the  University  of  Michigan  with  a  Bachelors  of  Science  in  1983  Fred  Diamond  went  to  Princeton  University  to  pursue  a  Ph.D.  in  mathematics.    After  five  years  he  was  awarded  his  doctorate  for  his  work  On  Congruence  Modules  Associated  to  Λ-­‐adic  Forms  under  the  direction  of  Prof.  Andrew  Wiles.    Following  this  Dr.  Diamond  held  numerous  academic  appointments  around  the  country  and  built  a  reputation  as  an  excellent  number  theorist.    During  this  time  he  was  awarded  the  prestigious  Centennial  Fellowship  by  the  American  Mathematical  Society.         In  1999  Dr.  Diamond  accepted  a  position  at  Brandeis  University.    That  same  year  with  a  team  of  other  former  

students  of  Prof.  Andrew  Wiles,  Dr.  Richard  Taylor,  Dr.  Brian  Conrad,  and  Dr.  Christopher  Breuil,  he  proved  the  full  modularity  theorem.    Additionally,  Dr.  Diamond  has  written  several  well  received  textbooks  like  A  First  Course  in  Modular  Forms.  Since  2006  Dr.  Diamond  has  held  a  professorship  at  King’s  College  London.    Bibliography  Mathematics  People.  Notices  of  the  AMS,  June/July  1997,  Vol.  44  Num.  6  http://www.ams.org/notices/199706/people.pdf    Fred  Diamond,  CV  http://people.brandeis.edu/~fdiamond/04cv.pdf    Mathematicians  Crack  Big  Puzzle,  BBC  News  http://news.bbc.co.uk/2/hi/science/nature/527914.stm    Dr.  Fred  Diamond,  King’s  College  London  http://www.mth.kcl.ac.uk/staff/f_diamond.html        

Page 6: StephenSmale’ Mathematics,’B.S.’1952’ Alumni Bios.pdf · ! 2! Isadore’Singer’’ Mathematics1,’B.S.1944’!! Dr.!IsadoreSingerwasborninDetroit,MIin1924 …

  6  

Karen  Uhlenbeck  Mathematics,  B.A.  1964    

  Dr.  Karen  Uhlenbeck  was  born  in  Cleveland,  OH  in  1942  and  from  a  young  age  she  showed  a  keen  interest  in  science.    This  led  her  to  enter  the  University  of  Michigan  in  1960  with  intentions  of  studying  physics.    However,  after  taking  the  honors  mathematics  sequence  she  became  interested  in  mathematics,  and  changed  her  major  to  mathematics.    After  graduating  from  the  University  of  Michigan  in  1964  with  a  Bachelors  of  Arts  Dr.  Uhlenbeck  continued  her  studies  in  mathematics  and  in  1968  she  earned  her  Ph.D.  from  Harvard  University.     Despite  being  an  incredibly  gifted  

mathematician  the  sexism  of  the  late  1960s  and  early  1970s  made  it  hard  for  Dr.  Uhlenbeck  to  find  an  academic  position,  and  in  1971  she  finally  accepted  a  permanent  position  at  the  University  of  Illinois  at  Urbana  Champagne.    Dr.  Uhlenbeck  quickly  established  herself  as  a  leading  figure  in  the  study  of  partial  differential  equations,  and  in  recognition  of  her  outstanding  research  she  was  awarded  the  so  called  “genius  grant,”  a  MacArthur  Prize  Fellowship,  in  1983.    Additionally,  in  1984  the  University  of  Michigan  recognized  her  accomplishments  by  naming  her  the  Alumnus  of  the  Year.    Dr.  Uhlenbeck  has  also  received  the  Presidental  Medal  of  Science  and  the  AMS  Steele  Prize  for  Lifetime  achievement.      Currently,  Dr.  Uhlenbeck  is  a  professor  of  mathematics  at  the  University  of  Texas  at  Austin.      Bibliography  A  Personal  Profile  of  Karen  K.  Uhlenbeck,  Ambrose  et  al.  Journal  of  Women  in  Science  and  Engineering.  Temple  University  Press  http://www.ma.utexas.edu/users/uhlen/vita/pers.html    Karen  Uhlenbeck,  CV  http://www.ma.utexas.edu/users/uhlen/vita/vita.html    Karen  Keskulla  Uhlenbeck,  School  of  Mathematics  and  Statistics  –  University  of  St.  Andrews  http://www-­‐history.mcs.st-­‐andrews.ac.uk/Biographies/Uhlenbeck_Karen.html    MacArthur  Fellows  August  1983  http://www.macfound.org/fellows/search/?page=2&fellow_class=14    Karen  K.  Uhlenbeck,  Presidential  Medal  of  Science  http://www.nsf.gov/od/nms/recip_details.cfm?recip_id=366    KarenFest  http://www.ma.utexas.edu/karenfest/      

Page 7: StephenSmale’ Mathematics,’B.S.’1952’ Alumni Bios.pdf · ! 2! Isadore’Singer’’ Mathematics1,’B.S.1944’!! Dr.!IsadoreSingerwasborninDetroit,MIin1924 …

  7  

Harriet  S.  Pollatsek  Mathematics,  B.A.  1963    

  After  graduating  from  the  University  of  Michigan  in  1963  Dr.  Pollatsek  continued  her  education  at  the  University  of  Michigan  earning  her  doctorate  in  mathematics  in  1967  under  the  direction  of  Prof.  Jack  McLaughlin.  Following  this  Dr.  Pollatsek  held  positions  at  numerous  universities  including  the  University  of  London  and  Cambridge  University.    In  1970  she  accepted  a  permanent  position  at  Mt.  Holyoke  College.    Since  then  she  has  been  an  innovator  in  mathematical  education  developing  numerous  course,  programs,  and  resources  designed  to,  “introduce  students  as  early  as  possible  to  the  richness  of  mathematics.”    For  this  work  she  was  awarded  the  18th  Louise  Hay  Award  by  the  Association  of  Women  in  Mathematics.    In  addition  to  this  Dr.  Pollatsek  remained  an  “active  mathematical  researcher,  with  

contributions  ranging  from  cohomology  of  linear  groups,  to  difference  sets  in  finite  groups,  and  quantum  error  correcting  codes.”    Bibliography  18th  Louise  Hay  Award,  Citation  for  Harriet  S.  Pollatsek  http://www.awm-­‐math.org/hayaward/2008.html    Harriet  Pollatsek,  Mt.  Holyoke  College  http://www.mtholyoke.edu/~hpollats/        

Page 8: StephenSmale’ Mathematics,’B.S.’1952’ Alumni Bios.pdf · ! 2! Isadore’Singer’’ Mathematics1,’B.S.1944’!! Dr.!IsadoreSingerwasborninDetroit,MIin1924 …

  8  

James  K.  Angell  Mathematics,  B.A.  1945    

  After  completing  his  undergraduate  studies  at  the  University  of  Michigan  in  1945,  Dr.  Angell  accepted  a  job  at  the  Weather  Bureau  to  pursue  his  dream  of  becoming  a  meteorologist.    However,  he  quickly  realized  the  path  to  career  advancement  laid  in  more  education  so  he  attended  the  University  of  California  Los  Angeles  where  he  would  earn  both  his  M.A.  and  Ph.D.  in  meteorology.    Following  this  Dr.  Angell  accepted  a  position  at  what  is  now  the  Air  Resources  Laboratory  at  the  National  Oceanic  and  Atmospheric  Administration.    Here  he  established  himself  as  a  premier  climate  scientist,  and  conducted  research  in  numerous  areas  of  meteorology.    Throughout  his  career  Dr.  Angell  focused  

heavily  upon  collecting  and  analyzing  data,  which  allowed  him  to  “address  emerging  scientific  challenges,  ranging  from  the  transport  and  dispersion  of  air  pollution  to  long-­‐term  climate  change  and  stratospheric  ozone  depletion.”    In  recognition  of  his  long  and  accomplished  career  Dr.  Angell’s  colleagues  held  a  symposium  in  his  honor  in  November  2004.    During  this  event  Jerry  Mahlman  read  the  following  poem:    

There  once  was  a  fine  lad  named  James  who  found  that  balloons  weren’t  just  games  

he  pulled  out  their  data    ‘cause  sooner  or  later    

they  would  bring  him  his  multiple  fames.          Bibliography  Jim  Angell’s  Contributions  to  Meteorology.  Meeting  Summaries,  American  Meteorology  Society,  March  2005.  http://www.gfdl.noaa.gov/bibliography/related_files/seidel0501.pdf        

Page 9: StephenSmale’ Mathematics,’B.S.’1952’ Alumni Bios.pdf · ! 2! Isadore’Singer’’ Mathematics1,’B.S.1944’!! Dr.!IsadoreSingerwasborninDetroit,MIin1924 …

  9  

Michael  S.  Weisbach  Mathematics,  B.S.  1983    

  After  completing  his  Bachelors  of  Science  in  1983  Dr.  Weisbach  enrolled  at  the  Massachusetts  Institute  of  Technology  to  study  economics.    After  five  years  of  work  he  was  awarded  his  Ph.D.  for  his  research  on  The  Role  and  Selection  of  Boards  of  Directors.    Following  this  Dr.  Weisbach  held  appointments  at  various  universities  before  begin  appointed  professor  and  Ralph  W.  Kutz  Chair  in  Finance  at  that  school  down  south,  The  Ohio  State  University,  in  2008.       During  his  career  Dr.  Weisbach  has  published  around  forty  papers  in  finance,  which  have  been  cited  over  16,000  times.    In  recognition  of  this  work  he  was  awarded  the  Jensen  Prize,  Wharton  Prize,  and  the  Brattle  Group  Prize  for  outstanding  research  papers.    Additionally,  Dr.  Weisbach  is  a  Research  Associate  at  the  National  Bureau  

of  Economic  Research.      Bibliography    Michael  S.  Weisbach,  The  Ohio  State  University,  Biography  http://fisher.osu.edu/fin/faculty/weisbach/brief-­‐bio.pdf    Michael  S.  Weisbach,  The  Ohio  State  University,  CV  http://fisher.osu.edu/fin/faculty/weisbach/mswvitae.pdf        

Page 10: StephenSmale’ Mathematics,’B.S.’1952’ Alumni Bios.pdf · ! 2! Isadore’Singer’’ Mathematics1,’B.S.1944’!! Dr.!IsadoreSingerwasborninDetroit,MIin1924 …

  10  

Albert  G.  Woodring  Mathematics,  B.S.  1973    

  Albert  G.  Woodring  is  currently  serving  as  the  President  and  Chief  Executive  Officer  (CEO)  of  Reinsurance  Group  of  America,  Incorporated.    Reinsurance  Group  of  America  (RGA)  is  a  multinational  Forbes  Fortune  Five  Hundred  cooperation  specializing  in  global  health  and  life  reinsurance.    Mr.  Woodring  joined  Reinsurance  Group  of  America  in  1979  and  quickly  climbed  the  corporate  ladder  being  named  president  and  CEO  in  1993  when  RGA  went  public,  and  since  assuming  control  he  overseen  a  roughly  tenfold  increase  in  RGA’s  business.         Before  beginning  at  RGA  Mr.  Woodring  earned  his  Bachelors  of  Science  at  the  University  in  Michigan  in  1973.    

Following  his  time  in  Ann  Arbor  Mr.  Woodring  continued  his  studies  at  the  University  of  Illinois  –  Urbana  Champagne  where  he  earned  his  Masters  of  Science  in  mathematics.    Additionally,  he  earned  his  Masters  of  Business  Administration  from  Washington  University  in  St.  Louis.      Mr.  Woodring  is  also  a  Fellow  of  the  Society  of  Actuaries  and  a  member  of  the  American  Academy  of  Actuaries.      Bibliography  RGA  Company  Timeline  History  http://www.rgare.com/about/Documents/RGATimeline2013.pdf    Albert  Woodring,  Executive  Leadership,  RGA  http://www.rgare.com/about/Executive-­‐Management/Pages/GreigWoodringBio.aspx    Greig  Woodring,  Spoke  http://www.spoke.com/people/greig-­‐woodring-­‐3e1429c09e597c10005845ef      

Page 11: StephenSmale’ Mathematics,’B.S.’1952’ Alumni Bios.pdf · ! 2! Isadore’Singer’’ Mathematics1,’B.S.1944’!! Dr.!IsadoreSingerwasborninDetroit,MIin1924 …

  11  

Rebecca  S.  Gelman  Mathematics,  B.S.  1973    

  After  earning  her  Bachelors  of  Science  in  1973  Dr.  Gelman  attended  the  State  University  of  New  York,  Buffalo  earning  her  doctorate  in  statistics  in  1978.    Following  this  she  accepted  positions  at  the  Department  of  Biostatistics  at  Harvard  School  of  Public  Health  as  well  as  the  Dana-­‐Farber  Cancer  Institute.    Since  then  Dr.  Gelman  has  focused  her  research  primarily  upon  studying  cancer,  particularly  breast  cancer,  and  autoimmune  deficiency.    She  currently  has  over  two  hundred  articles  published  in  these  areas.    In  1990  Dr.  Gelman  accepted  an  additional  position  as  an  Associate  Professor  at  the  Department  of  Radiation  Oncology  at  Harvard  Medical  School.    In  addition  to  her  other  work  mentioned  above  Dr.  Gelman  is  the  chief  statistician  for  the  National  Institute  of  Allergy  and  Infectious  Diseases,  Division  of  AIDS  Immunology  

Laboratory  Quality  Assessment  Program.      Bibliography  Rebecca  Gelman,  Dana-­‐Farber  Cancer  Institute  Research  Profile  http://researchers.dana-­‐farber.org/directory/profile.asp?dbase=main&setsize=16&pgt=Richard+D.+Gelber%2C+PhD&grouptype_typeid_data=2&gs=r&nxtfmt=pc&display=Y&pict_id=0000149    Rebecca  Sue  Gelman,  Harvard  Catalyst  http://connects.catalyst.harvard.edu/Profiles/display/Person/34853      

Page 12: StephenSmale’ Mathematics,’B.S.’1952’ Alumni Bios.pdf · ! 2! Isadore’Singer’’ Mathematics1,’B.S.1944’!! Dr.!IsadoreSingerwasborninDetroit,MIin1924 …

  12  

Joan  Weiner  Mathematics,  B.S.  1975    

  Dr.  Weiner  is  currently  a  professor  of  philosophy  at  Indiana  University;  a  position  she  has  held  since  2002.    Her  current  research  focuses  on  exploring  nineteenth  century  philosopher  Gottlob  Frege’s  writings  focusing  on  his  views  of  language.    Additionally,  she  is  working  on  exploring  the  philosophy  behind  the  methodologies  of  epidemiology  and  biostatistics.    Throughout  her  career  she  has  published  roughly  twenty  peer  reviewed  articles  and  three  books  in  these  areas.     Prior  to  her  current  appointment  Dr.  Weiner  studied  mathematics  at  the  University  of  Michigan  where  she  graduated  from  with  a  Bachelors  of  Science  in  1975.    Directly  following  her  undergraduate  studies  she  began  studying  philosophy  at  Harvard  University,  and  in  1982  she  was  awarded  her  doctorate  in  philosophy.    Dr.  Weiner’s  thesis  was  awarded  the  George  Plimpton  Adams  

Award  for  outstanding  work  in  historical  philosophy.    In  the  early  1990s  her  growing  interest  in  the  philosophy  of  scientific  methodologies  resulted  in  Dr.  Weiner  attending  the  Medical  College  of  Wisconsin  where  in  1992  she  earned  her  Masters  of  Science  in  Biostatistics  and  Clinical  Epidemiology.        Bibliography  Joan  Weiner,  CV  http://www.indiana.edu/~jcw1/JWVITA.pdf    Joan  Weiner,  Homepage  http://www.indiana.edu/~jcw1/index.html        

Page 13: StephenSmale’ Mathematics,’B.S.’1952’ Alumni Bios.pdf · ! 2! Isadore’Singer’’ Mathematics1,’B.S.1944’!! Dr.!IsadoreSingerwasborninDetroit,MIin1924 …

  13  

Robert  A.  Margo  Mathematics  and  Economics,  B.A.  1976    

Dr.  Robert  A.  Margo  began  his  academic  career  at  the  University  of  Michigan  where  in  1976  he  earned  his  Bachelors  of  Arts  in  mathematics  and  economics.    Following  his  time  in  Ann  Arbor,  Dr.  Margo  went  to  Harvard  University  where  he  studied  economics  receiving  his  Masters  of  Arts  and  his  doctorate  in  economics.         After  completing  his  doctorate  Dr.  Margo  accepted  a  position  at  the  University  of  Pennsylvania  in  1981.    After  six  years  he  moved  to  Colgate  University  where  he  was  the  Banfi  Vintners’  Distinguished  Professorship  in  American  Economic  History.    During  this  time  Dr.  Margo  proved  himself  to  be  a  premiere  economist,  with  his  research  focusing  on  “the  history  of  the  American  economy  with  particular  emphasis  on  the  economic  history  of  African-­‐American.”    In  1995  Dr.  Margo  moved  to  Vanderbilt  University  where  he  would  remain  until  

he  accepted  his  current  appointment  as  Professor  of  Economics  and  Chair  of  the  Department  of  Economics  at  Boston  University.    In  addition,  Dr.  Margo  has  also  held  a  position  as  a  Research  Associate  at  National  Bureau  of  Economic  Research.    Bibliography  Robert  A.  Margo,  Boston  University  Department  of  Economics  Faculty  Profile  http://www.bu.edu/econ/people/faculty/margora/    Robert  A.  Margo,  CV  http://www.bu.edu/econ/files/2010/10/Margo_CV_December_2012.pdf          

Page 14: StephenSmale’ Mathematics,’B.S.’1952’ Alumni Bios.pdf · ! 2! Isadore’Singer’’ Mathematics1,’B.S.1944’!! Dr.!IsadoreSingerwasborninDetroit,MIin1924 …

  14  

Robert  Bartels  Mathematics,  B.A.  1966    

  After  earning  his  Bachelors  of  Science  in  mathematics  at  the  University  of  Michigan  Robert  Bartels  attended  Stanford  Law  School  where  he  earned  J.D.  in  1969.    Following  this  Bartels  began  teaching  at  the  University  of  Iowa  College  of  Law  where  he  worked  for  ten  years  between  1971  and  1981.    In  1981  Bartels  accepted  a  position  as  a  professor  at  the  Sandra  Day  O’Connor  College  of  Law  at  Arizona  State  University.       Throughout  his  career  as  a  lawyer  Bartels  has  tried  over  300  criminal  and  civil  cases  including  presenting  five  oral  arguments  at  the  Supreme  Court  of  the  United  States.    In  addition  to  all  of  this  Bartels  has  been  a  member  of  the  Arizona  Justice  Project  since  1999;  through  this  work  he  has  helped  to  exonerate  numerous  wrongly  convicted  individuals.    Currently  Mr.  Bartels  is  an  Emeritus  Professor  

of  Law  at  the  Sandra  Day  O’Connor  College  of  Law  at  Arizona  State  University.    Bibliography  Robert  Bartels,  Sandra  Day  O’Connor  College  of  Law  Faculty  Profile  http://apps.law.asu.edu/apps/faculty/faculty.aspx?individual_id=41    Robert  Bartels,  CV  http://apps.law.asu.edu/files/faculty/cvs/bartelsrobert.pdf    Arizona  Justice  Project,  About  http://www.azjusticeproject.org/project        

Page 15: StephenSmale’ Mathematics,’B.S.’1952’ Alumni Bios.pdf · ! 2! Isadore’Singer’’ Mathematics1,’B.S.1944’!! Dr.!IsadoreSingerwasborninDetroit,MIin1924 …

  15  

James  H.  Thrall  Mathematics,  B.A.  1964    

  Dr.  James  Thrall  has  had  a  distinguished  forty-­‐year  career  as  a  radiologist.    As  the  former  president  of  the  Radiological  Society  of  North  America  (RSNA)  said,    “Dr  Thrall  is  a  remarkable  leader  who  is  always  breaking  new  ground.    I  don't  think  I  know  of  anyone  in  our  specialty  who  is  as  wise,  as  creative,  and  as  forward  thinking.”    In  2007  this  outstanding  work  was  recognized  when  the  RSNA  awarded  Dr.  Thrall  with  their  highest  honor  the  RSNA  Gold  Medal.     Dr.  Thrall’s  amazing  career  began  when  he  earned  his  Bachelors  of  Science  in  mathematics  in  1964  from  the  University  of  Michigan.    Following  his  time  as  an  undergraduate  he  continued  at  the  University  of  Michigan  earning  his  M.D  in  1968.    After  this  Dr.  Thrall  complete  his  residency  and  fellowship  in  radiology  and  nuclear  medicine  

at  Walter  Reed  Army  Medical  Center.    During  the  next  thirty  years  of  his  distinguished  career  Dr.  Thrall  held  numerous  positions  including  vice-­‐chair  of  the  Board  of  Governors  of  the  Henry  Ford  Medical  Staff,  radiologist-­‐in-­‐chief  at  Massachusetts  General  Hospital,  and  Juan  M.  Taveras  Professor  of  Radiology  at  Harvard  Medical  School.    Bibliography  James  H.  Thrall,  Massachusetts  General  Hospital  http://www.massgeneral.org/doctors/doctor.aspx?id=16374    RSNA  2007,  Gold  Medalists  http://rsna2007.rsna.org/rsna2007/v2007/index.cvn?id=10016&p_navid=521    RSNA,  Gold  Medalists  https://www.rsna.org/Gold_Medalists.aspx        

Page 16: StephenSmale’ Mathematics,’B.S.’1952’ Alumni Bios.pdf · ! 2! Isadore’Singer’’ Mathematics1,’B.S.1944’!! Dr.!IsadoreSingerwasborninDetroit,MIin1924 …

  16  

Fred  L.  Bookstein  Mathematics  and  Physics,  B.S.  1966    

  Born  in  1947  in  Detroit,  MI  Dr.  Fred  L.  Bookstein  graduated  from  the  University  of  Michigan  in  1966  with  a  Bachelors  of  Science  in  mathematics  and  physics.    After  his  graduation  he  proceeded  to  attend  Harvard  University  where  he  was  awarded  his  Masters  of  Science  in  sociology  in  1971.    Following  this  Dr.  Bookstein  returned  to  Ann  Arbor  where  he  in  1977  he  earned  his  doctorate  in  zoology  and  statistics.       Dr.  Bookstein  then  spent  twelve  years  as  a  research  scientist  at  the  Center  of  Human  Growth  and  Development  before  accepting  a  position  as  Distinguished  Research  Professor,  Center  for  

Human  Growth  and  Development,  then  Institute  of  Gerontology.    During  this  time  his  research  focused  on  the,  “Foundations  of  reasoning  from  numerical  evidence  across  the  natural  sciences  and  the  social  sciences,  with  particular  care  for  the  disciplines  along  which  they  overlap  such  as  anthropology,  demography,  and  evolutionary  psychology,”  and  he  made  numerous  contributions  such  as  the  Bookstein  method  of  Partial  Least  Squares.    Dr.  Bookstein  is  currently  a  professor  of  morphometrics  at  the  University  of  Vienna.    Bibliography  Univ.-­‐Prof.  Dr.  Fred  L.  Bookstein,  Archiv  der  Online-­‐Zeitung  der  Universitat  Wien  http://www.dieuniversitaet-­‐online.at/professuren/curricula-­‐vitae/beitrag/news/univ-­‐prof-­‐dr-­‐fred-­‐l-­‐bookstein/80.html    Department  of  Anthropology,  Faculty  Profiles  http://www.anthropology.at/people/fbookstein          

Page 17: StephenSmale’ Mathematics,’B.S.’1952’ Alumni Bios.pdf · ! 2! Isadore’Singer’’ Mathematics1,’B.S.1944’!! Dr.!IsadoreSingerwasborninDetroit,MIin1924 …

  17  

Jing-­‐Rebecca  Li  Mathematics,  B.S.  1995    

  When  Dr.  Li  began  her  undergraduate  career  at  the  University  of  Michigan  she  did  not  intend  to  study  mathematics,  and  in  fact  she  was  a  promising  mechanical  engineering  student  until  the  fall  of  her  junior  year.    Despite  this  somewhat  late  start  Dr.  Li  quickly  showed  immense  mathematical  prowess.    As  one  of  her  professors  said,  “I  have  taught  some  very  bright  undergraduates,  but  I  would  rank  her  in  the  upper  one-­‐half  percent  of  the  undergraduates  (male  and  female)  I  have  known.”    The  Association  recognized  her  abilities  in  1994  when  she  was  awarded  the  Alice  T.  Schafer  Prize  for  excellence  in  mathematics  by  undergraduate  women.     After  graduating  from  the  University  of  Michigan  in  1995  with  a  Bachelors  of  Science  in  mathematics,  Dr.  Li  

attended  the  Massachusetts  Institute  of  Technology  to  pursue  a  Ph.D.  in  mathematics.    Five  years  later  she  was  awarded  her  doctorate  in  applied  mathematics  for  her  thesis  on  Efficient  model  reduction  of  large  linear  systems.    She  was  also  awarded  the  Alston  Householder  Award  for  the  best  dissertation  in  Numerical  Algebra  for  her  thesis.    Since  leaving  MIT  Dr.  Li  has  continued  to  establish  herself  as  a  top  researcher  in  applied  mathematics  with  one  of  her  recent  articles  being  recognized  by  the  Society  of  Industrial  and  Applied  Mathematics  as  one  of  the  best  of  the  year.    Dr.  Li  is  currently  a  research  scientist  at  Institut  National  de  Recherche  en  Informatique  et  en  Automatique.      Bibliography  Fifth  Annual  Alice  T.  Schafer  Prize,  Associate  for  Women  in  Mathematics  https://sites.google.com/site/awmmath/programs/schafer-­‐prize/schafer-­‐prize-­‐awardees/schafer-­‐prize-­‐awardee-­‐announcements/fifthannualalicetschaferprize    Jing-­‐Rebecca  Li,  CV  http://www.cmap.polytechnique.fr/~jingrebeccali/pers/cv.pdf    Jing-­‐Rebecca  Li,  Homepage  http://www.cmap.polytechnique.fr/~jingrebeccali/        

Page 18: StephenSmale’ Mathematics,’B.S.’1952’ Alumni Bios.pdf · ! 2! Isadore’Singer’’ Mathematics1,’B.S.1944’!! Dr.!IsadoreSingerwasborninDetroit,MIin1924 …

  18  

Lawrence  M.  Kahn  Mathematics,  B.S.  1971    

  Following  his  graduation  from  the  University  of  Michigan  in  1971  with  his  Bachelors  of  Science  in  mathematics  Dr.  Kahn  attended  the  University  of  California,  Berkeley  where  he  studied  economics.    After  four  years  of  hard  work,  he  was  awarded  his  doctorate  in  economics  for  his  thesis  Unions  and  Labor  Market  Segmentation.         Following  this  Dr.  Kahn  accepted  a  position  at  the  University  of  Illinois  –  Urbana  Champagne  as  an  assistant  professor  of  economics  and  labor  relations.    Over  the  next  twenty-­‐five  years  he  established  himself  as  an  expert  on  the  economics  of  labor  and  economic  discrimination.    In  recognition  of  his  work  Dr.  Kahn  was  elected  a  fellow  of  the  Society  of  Labor  Economists  in  2008.    A  recognition  given  to,  “Labor  economists  who  have  made  contributions  of  unusual  

distinction  to  the  field.”    Currently  Dr.  Kahn  is  a  Professor  of  Economics  and  Labor  Relations  and  the  Braunstein  Family  Professor  at  the  School  of  Industrial  and  Labor  Relations  at  Cornell  University.    Bibliography  Lawrence  Kahn,  IRL  Directory  http://www.ilr.cornell.edu/directory/lmk12/    Fellows,  The  Society  of  Labor  Economists  http://www.sole-­‐jole.org/fellows.htm        

Page 19: StephenSmale’ Mathematics,’B.S.’1952’ Alumni Bios.pdf · ! 2! Isadore’Singer’’ Mathematics1,’B.S.1944’!! Dr.!IsadoreSingerwasborninDetroit,MIin1924 …

  19  

 Paul  W.  Holland  Mathematics,  B.A.  1962  

    Growing  up  in  East  Lansing,  MI  Dr.  Holland  was  interested  in  science  from  an  early  age,  and  when  he  entered  the  University  of  Michigan  he  planned  to  study  social  anthropology.    However,  on  the  advice  of  a  young  sociology  professor  he  decided  to  pursue  his  interest  in  mathematics  and  return  to  his  interest  in  social  science  later.    Towards  the  end  of  his  undergraduate  career  Dr.  Holland  expressed  interest  in  doing  something,  which  used  mathematics,  but  was  not  pure  mathematics.  With  this  in  mind  one  of  his  mathematics  professors  suggested  Holland  pursue  a  degree  in  statistics,  and  so  after  graduating  with  his  Bachelors  of  Arts  in  1962  he  went  to  Stanford  University  to  study  statistics.     Four  Years  later  Dr.  Holland  was  awarded  his  Ph.D.  in  statistics  and  moved  back  to  East  Lansing  where  he  was  accepted  a  job  as  a  professor  at  Michigan  State  University.    However,  after  a  semester  he  moved  to  Harvard  University.    In  1975  Dr.  Holland  would  once  

again  change  jobs  accepting  a  research  position  at  ETS,  the  testing  company  responsible  for  the  SAT,  GRE,  and  AP  tests.    He  would  remain  with  ETS  for  almost  all  of  his  professional  life,  and  became  a  leading  figure  in  psychometrics.    In  recognition  of  his  work  Dr.  Holland  was  awarded  E.  F.  Lindquist  Award  for  his  research  on  testing  and  measurement,  and  in  2002  he  was  elected  a  national  associate  of  the  National  Academy  of  Sciences.      Bibliography  Profiles  in  Research:  Paul  W.  Holland,  Journal  of  Educational  and  Behavioral  Statistics  http://www.jstor.org/stable/3701382  .          

Page 20: StephenSmale’ Mathematics,’B.S.’1952’ Alumni Bios.pdf · ! 2! Isadore’Singer’’ Mathematics1,’B.S.1944’!! Dr.!IsadoreSingerwasborninDetroit,MIin1924 …

  20  

Charles  A.  Weibel  Mathematics,  B.A.  1969    

  After  graduating  from  the  University  of  Michigan  in  1969  with  his  Bachelors  of  Arts  in  mathematics,  Dr.  Weibel  went  to  the  University  of  Chicago  to  continue  studying  mathematics.    Eight  years  later,  he  was  awarded  his  doctorate  in  mathematics  for  his  work  on  Homotopy  in  Algebraic  K-­‐Theory.    After  spending  a  year  at  the  Institute  for  Advanced  Studies,  Dr.  Weibel  joined  the  mathematics  faculty  at  the  University  of  Pennsylvania.    In  1989  he  moved  to  Rutgers  University  where  he  remains  a  

professor  of  mathematics.    During  his  career  Dr.  Weibel  has  done,  “Outstanding  work  on  k-­‐theory  and  motivic  cohomology”,  and  in  2009  he  proved  the  motivic  Bloch-­‐Kato  Conjecture.    Bibliography  Charles  Weibel,  Wiki  https://en.wikipedia.org/wiki/Charles_Weibel