Sarah Nelson Curriculum vitæ

University of Kentucky Office: (859) 257-6805Department of Mathematics E-mail: sarah.nelson@uky.edu706 Patterson Office Tower Website: http://www.ms.uky.edu/̃ snelson/Lexington, KY 40506 USA

Education

University of Kentucky, Lexington, Kentucky· Ph.D., Mathematics, expected May 2016

· Advisor: Dr. Carl Lee, Professor· M.A., Mathematics, May 2013

· Advisor: Dr. Margaret Readdy, ProfessorUniversity of Tennessee at Chattanooga, Chattanooga, Tennessee

· B.S., summa cum laude, Applied Mathematics and Secondary Mathematics, May 2011· honors thesis: Euler E271: A Link Between Mathematics of Yesterday, Today, and Tomorrow

· Advisors: Dr. Stephen Kuhn, Professor, and Dr. Joshua Davies, Associate Professor· B.A., summa cum laude, Humanities, May 2011

Research interests

· Algebraic and geometric combinatorics, especially problems in enumerative combinatorics relatedto polytopes and winding numbers.

Invited talks

· Convex Polytopes and Toric g-Vectors· American Mathematical Society Sectional Meeting, Rutgers University, New Brunswick, New

Jersey, November 2015· Convex Polytopes and Gale Diagrams

· Algebra & Combinatorics Seminar, DePaul University, Chicago, Illinois, October 2015

Presentations & Posters

· Winding Numbers and Toric h-Vectors of Convex Polytopes, poster· IMA Special Workshop: Geometric and Enumerative Combinatorics, Institute for Mathematics

and its Applications, Minneapolis, Minnesota, November 2014· k-Splitters and Winding Numbers

· Graduate Student Combinatorics Conference, Auburn University, Auburn, Alabama, April 2014

· Single Splitter Details, Discrete CATS Seminar, February 2015· Winding Numbers and The Generalized Lower-Bound Conjecture, Qualifying Examination, Febru-

ary 2014· Winding Numbers and Simplicial Convex d-Polytopes, Graduate Colloquium, December 2013· QS-distribution, riffle shuffles, and quasisymmetric functions, Masters Talk, April 2013· Securing Your Art: the Art Gallery Theorem, Graduate Colloquium, March 2013· The Gleason-Pierce-Ward Theorem, Graduate Colloquium, December 2012

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Sarah Nelson Curriculum vitæ

Conferences & Workshops

· Joint Mathematics Meeting, January 2016· Seattle, Washington

· American Mathematical Society Sectional Meeting, November 2015· Rutgers University, New Brunswick, New Jersey

· American Mathematical Society Sectional Meeting, October 2015· Loyola University, Chicago, Illinois

· 2015 Midwest Combinatorics Conference, May 2015· University of Minnesota, Minneapolis, Minnesota

· Graduate Student Combinatorics Conference, March 2015· University of Kentucky, Lexington, Kentucky

· Wachsfest, January 2015· University of Miami, Coral Gables, Florida

· IMA Special Workshop: Geometric and Enumerative Combinatorics, November 2014· Institute for Mathematics and its Applications, Minneapolis, Minnesota

· Triangle Lectures in Combinatorics, October 2014· High Point University, High Point, North Carolina

· Stanley@70, June 2014· MIT, Cambridge, Massachusetts

· Graduate Student Combinatorics Conference, April 2014· Auburn University, Auburn, Alabama

· American Mathematical Society Sectional Meeting, March 2014· University of Tennessee at Knoxville, Knoxville, Tennessee

· Triangle Lectures in Combinatorics, February 2014· University of North Carolina Chapel Hill, Chapel Hill, North Carolina

· American Mathematical Society Sectional Meeting, October 2013· University of Louisville, Louisville, Kentucky

· Triangle Lectures in Combinatorics, September 2013· North Carolina State University, Raleigh, North Carolina

· Triangle Lectures in Combinatorics, February 2013· Wake Forest University, Winston-Salem, North Carolina

· Triangle Lectures in Combinatorics, September 2012· North Carolina State University, Raleigh, North Carolina

Teaching experience

University of Kentucky, Lexington, Kentucky· Primary Instructor: Responsible for designing syllabi, writing and grading homework and exams,

lecturing and leading class discussions, and holding office hours.· MA 202: Mathematics for Elementary Teachers, two sections in Spring 2015· MA 201: Mathematics for Elementary Teachers, two sections in Fall 2014· MA 109: College Algebra, one section online in Summer 2014· MA 213: Calculus III, one section in Summer 2013· MA 109: College Algebra, two sections in Spring 2013· MA 110: Precalculus, one section in Fall 2012· MA 113: Calculus I, one section in Summer 2012

· Recitation Leader: Responsible for leading recitation sections, grading, and holding office hours.· MA 123: Elementary Calculus, four sections in Fall 2015· MA 114: Calculus II (Math Excel), one section in Spring 2014

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Sarah Nelson Curriculum vitæ

· MA 113: Calculus I (Math Excel), one section in Fall 2013· MA 114: Calculus II, two sections in Spring 2012· MA 113: Calculus I, two sections in Fall 2011

University of Tennessee at Chattanooga, Chattanooga, Tennessee· Student Teaching, Spring 2011: Responsible for all aspects of teaching, including lesson planning,

proctoring, and grading, at local public schools.· Freshman Algebra I· Eighth Grade Algebra

· Math Lab Tutor, Summer 2008 to Fall 2010: Responsible for tutoring undergraduate students andperforming administrative duties.

Outreach, Lexington, Kentucky· Math Circles, Help facilitate math-based activities that encourage students to discover mathematical

concepts.· Central Kentucky High School Math Circle, February 2015· Math Circle at Tates Creek Elementary, several sessions in Spring 2013

· High School Math Days at UK: Plan, organize, and help run a day filled with different math activitiesfor female students.· High School Math Day for Women, 2 November 2013· Sonia Kovalevsky High School Mathematics Day, 29 October 2011

· Math Night Events: Worked with students and their families on various math activities.· Family Math Night at Jessie Clark Middle School, 25 April 2013· STEM Night at Tates Creek Middle School, 10 January 2013· ‘Monster Math’ Night at Tates Creek Elementary, 23 October 2012

Service experience

Graduate Student Combinatorics Conference· Co-Organizer, Spring 2015

· Funding decisions, schedule talks, coordinate with keynote speakers, reimbursements, etc.UK Association for Women in Mathematics· Vice President, Summer 2015-Summer 2016· President, Summer 2014-Summer 2015· Treasurer, Summer 2013-Summer 2014· Secretary, Summer 2012-Summer 2013

Mathematics Graduate Student Council· Co-Chair, Summer 2014-Summer 2015· Treasurer, Fall 2012-Spring 2013

University TA Orientation· Microteaching Group Leader, Fall 2015

Honors & Awards

· Royster TA Award, Fall 2015· Clifford J. Swauger, Jr Graduate Fellowship, Summer 2015· Semifinalist for AAAS Mass Media Science and Engineering Fellows Program, Spring 2013

Professional organizations

· Association for Women in Mathematics

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Sarah Nelson Curriculum vitæ

· American Mathematical Society· Society for Industrial and Applied Mathematics· Pi Mu Epsilon· Mortar Board· Golden Key International Honour Society

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