BROWN UNIVERSITY, Providence, RI.

    Ph.D., Mathematics, May 2003.
    Advisor:  Michael Rosen
    Dissertation Title:  The Structure of Class Groups of Global Function Fields

UNION COLLEGE, Schenectady, NY.

    B.S., Mathematics, June 1997.
    Summa Cum Laude, Departmental Honors
    Phi Beta Kappa, 1996

• Algebraic Number Theory
• Class Groups and Class Numbers
• Global Function Fields

1. Abelian Subgroups of Any Order in Class Groups of Global Function Fields, Journal of Number Theory, 106 (2004), 26-49.

2. Quadratic Reciprocity via Theta Functions, (with Ram Murty), Ramanujan Mathematical Society Lecture Notes Series, Volume 1 (2005), 107-116.

3. Subgroups of the Class Groups of Global Function Fields: The Inert Case, (with Y. Lee), Proceedings of the American Mathematical Society, 133 (2005), 2883-2889.

4. A Lower Bound on the Number of Cyclic Function Fields with Class Number Divisible by n, Canadian Mathematical Bulletin, 49 (2006), 448 - 463.

5. The Prime at Infinity and the Rank of the Class Group of Global Function Fields, Journal of Number Theory, 116 (2006), 311 - 323.

6. Higher Rank Subgroups in the Class Groups of Imaginary Function Fields (with Y. Lee), Journal of Pure and Applied Algebra, 207 (2006), 51 - 62.

7. Parametrized Families of Quadratic Number Fields with 3-Rank at Least 2 (with undergraduates C. Erickson, N. Kaplan, N. Mendoza, T. Shayler), Acta Arithmetica, 130 (2007), 141 - 147.

8. Class groups of quadratic fields of 3-rank at least 2: Effective bounds (with F. Luca), to appear in the Journal of Number Theory.

9. Quadratic, Cubic, and Sextic Number Fields with Class Number Indivisible by 3, submitted.

10. Function Fields with 3-Rank at Least 2, submitted.

11. Adjusted Winner in the Middle East (with undergraduates Shomik Dutta, Zach Ulman, and Noam Yuchtman), submitted.

12. Mathematics and Politics: Strategy, Voting, Power, and Proof, second edition (with Alan Taylor), Springer-Verlag, to appear 2008.

• Williams College Science Lunch: A Mathematical Approach to Fairness, February 5, 2008.

• Maine/Quebec Number Theory Conference: The 3-Rank of the Class Group in Number Fields and Function Fields, September 29, 2007.

• Williams College Mathematics Department Faculty Seminar: Indivisibility of Class Numbers, September 28, 2007.

• Five College Number Theory Seminar: The 3-Rank of the Class Group in Number Fields and Function Fields, March 13, 2007.

• University of Wisconsin Graduate Student Seminar: Life at a Liberal Arts College, November 30, 2006.

• University of Wisconsin Number Theory Seminar: High n-Rank in Class Groups of Function Fields, November 30, 2006.

• Brown University Graduate Student Seminar: Class Numbers of Quadratic Fields, November 15, 2006.

• Fields Institute Workshop on Computational Challenges in Algorithmmic Number Theory and Cryptography: Constructing Number Fields and Function Fields with Prescribed Class Group Properties, October 31, 2006.

• George Washington University Summer Program for Women in Mathematics, Algebraic Number Theory: An “Ideal” Subject, July 20, 2006

• Canadian Number Theory Association Meeting IX, High n-Rank in Class Groups of Global Fields, July 13, 2006

• Québec-Vermont Number Theory Seminar, Class Groups with High n-Rank, June 14, 2006

• Front Range Number Theory Colloquium, University of Wyoming, Unit Rank and the Rank of the Class Group of a Global Function Field, March 9, 2006

• Williams College Mathematics Department Faculty Seminar, Class Groups of Quadratic Fields, March 3, 2006

• Union College Undergraduate Mathematics Seminar, Algebraic Number Theory: My "Ideal" Summer, January 23, 2006

• Union College Mathematics Conference, High n-Rank in Class Groups of Global Fields, December 3, 2005

• Colby College Undergraduate Mathematics Seminar, Polynomials, Primes, and Fermat's Last Theorem, November 15, 2005

• Number Theory Inspired by Cryptography Workshop, Banff International Research Station, High n-Rank in Class Groups of Global Fields, November 7, 2005

• Williams College Mathematics Department Summer Colloquium, Algebraic Number Theory: From Fermat to Function Fields, June 15, 2005

• Hudson River Undergraduate Mathematics Conference XII, Polynomials in a Parallel Universe, April 30, 2005

• University of Connecticut Department of Mathematics Awards Day Ceremony, Democracy in Action: Your Vote Doesn't Matter, but You Can Still Get Your Way, April 21, 2005

• Centre for Information Security and Cryptography Discrete Mathematics Seminar, High Rank Subgroups in Class Groups of Global Function Fields, March 23, 2005

• University of Rochester Number Theory Seminar, High Rank Subgroups in Class Groups of Global Function Fields, March 3, 2005

• Williams College Mathematics Department Faculty Seminar, Class Groups of Global Function Fields, February 11, 2005

• Association for Women in Mathematics Workshop, Unit Rank and the Rank of the Class Group of a Global Function Field, January 8, 2005

• Capital Region Algebra and Number Theory Seminar, Class Groups of Global Function Fields, December 15, 2004

• Williams College Science Lunch, Election Day: What Does Your Vote Really Mean?, November 2, 2004

• Williams College Special Family Weekend Mathematics Lecture, Election 2004 and Beyond: Your Vote Doesn't Matter, but You Can Still Get Your Way, October 23, 2004

• Brown University Undergraduate Mathematics Seminar, Election 2004 and Beyond: Your Vote Doesn't Matter, but You Can Still Get Your Way, October 19, 2004

• Colby Sawyer College, Election 2004 and Beyond: Your Vote Doesn't Matter, but You Can Still Get Your Way, October 13, 2004

• Number Theory Conference in Honor of Harold Stark, Class Number Divisibility in Cyclic Function Fields, August, 2004

• Canadian Number Theory Association Meeting VIII, Subgroups of Any Order in Class Groups of Global Function Fields, June 22, 2004

• Williams College Science Lunch, The Idealization of the Prime, May 4, 2004

• Williams College Mathematics Department Faculty Seminar, Divisibility of Class Numbers in Number Fields and Function Fields, March 5, 2004

• College of the Holy Cross Mathematics Colloquium, Polynomials, Primes, and Fermats Last Theorem, December 8, 2003

• Queens University Number Theory Seminar, Subgroups of Class Groups of Function Fields, November 14, 2003

• Queens University Mathematics Colloquium, Divisibility of Class Numbers, November 14, 2003

• Five College Number Theory Seminar, Subgroups of Any Order in Class Groups of Global Function Fields, October 28, 2003

• Williams College Mathematics Colloquium, Polynomials, Primes, and Fermats Last Theorem, February 12, 2003

• Davidson College Math Coffee, Polynomials and Primes, February 5, 2003

• AWM Workshop, Joint Meetings, Poster Presentation, January 2003: Class Groups of Global Function Fields

• AMS Eastern Section Meeting, Special session on Number Theory and Arithmetic Geometry, October 2002:  Class Groups of Global Function Fields

• Union College Undergraduate Mathematics Seminar, Polynomials and Primes, October 30, 2002

• Mathfest 2002, Contributed Paper:  Divisibility of Class Numbers of Global Function Fields

• KFSSummer@Brown, Number Shapes, July 2002

• Brown University Graduate Student Number Theory Seminar, 1999-2002:  Several Talks

• Hellman Fellow Grant, Williams College, 2007-08
• Association for Women in Mathematics Mentoring Travel Grant, March 2007
• Association for Women in Mathematics Mentoring Travel Grant, March 2006
• Association for Women in Mathematics Travel Grant, November 2005
• Mathematics Department Outstanding Teaching Award, Brown University, October 2002
• Presidential Award for Excellence in Teaching, Brown University, May 2002
• VIGRE Graduate Trainee, Brown University, Fall 2002
• Teaching Fellowship, Brown University, 1998-2002
• University Fellowship, Brown University, 1997
• Martin Terry Resch Pure Mathematics Prize, Union College, 1997
• President's Commission on the Status of Women Senior Scholarly Activity Award, Union College 1997
• Waldemar J. Trjitzinsky Memorial Fund Award, American Mathematical Society, 1996
• Goldwater Scholar in Mathematics, Science and Engineering, Barry M. Goldwater  Scholarship and Excellence in Education Foundation, 1996

Assistant Professor, Williams College, September 2004 - present.

Calculus 1, Fall 2007

Abstract Algebra, Spring 2006

Number Theory, Fall 2005

Introduction to Mathematical Proof and Argumentation, Fall 2005

Galois Theory, Spring 2005

The Art of Mathematical Thinking: An Introduction to the Beauty and Power of Mathematical Ideas, Spring 2005

Mathematical Politics: Voting, Power, and Conflict, Fall 2004

Linear Algebra, Fall 2003, Spring 2004, Fall 2004

Polynomial Arithmetic, Spring 2004

Instructor, George Washington University Summer Program for Women in Mathematics

Algebraic Number Theory, Summer 2007

Teaching Fellow, Brown University

Number Theory and the Art of Mathematical Proof, Summers 2001, 2002, 2003, 2004

Introductory Calculus, Part 1, Summer 2000, Summer 2001
Introductory Calculus, Part 2, Summer 2000
Analytic Geometry and Calculus, Spring 2000

Linear Algebra, Spring 2001
Advanced Placement Calculus, Fall 2000
Introductory Calculus, Part 1, Fall 1999

Teaching Assistant, Brown University

Introductory Calculus, Part 1, Summer, Fall 1998
Introductory Calculus, Part 2, Spring 1999

• Brown University Sheridan Center for Teaching and Learning in Higher Education, 2006 - 07

Project NExT (New Experiences in Teaching) Fellow, 2003-2004

MAA Short Course, Summer 2002: The Mathematics of Cryptology

The Sheridan Center for Teaching and Learning in Higher Education, Brown University

    Graduate Teaching Fellow, 2001-02

    Teaching Consultant, 2000-01, 2001-02

    Graduate Student Liaison from Mathematics Department, 1999-2000, 2000-01, 2001-02

    Sheridan Center Teaching Certificate I and II

The Boston College Mathematics Case Studies Project

• assisted in critiquing and revising case studies in progress to be used for TA-training programs for graduate students; the resulting book, Teaching Mathematics in Colleges and Universities: Case Studies for Today's Classroom, has been published jointly by the AMS and the MAA in the CMBS series Issues in Mathematics Education.

Student Research Advised

• Honor’s Thesis Advisor for Elizabeth Adams (2006): Class Numbers of Cubic Fields
  
• Faculty Advisor for SMALL REU Algebraic Number Theory Group, 2005
  
• Honor’s Thesis Advisor for Matthew Spencer (2005): Class Groups of Function Fields and the Decomposition of Irreducibles
  
• Intel Science Talent Search Advisor for John Sillcox (named semi-finalist): Polygonal Numbers in the Fibonacci sequence

Committee on Educational Policy, 2006-06

Hudson River Undergraduate Mathematics Conference, Williams College

• Co-Chair of Local Organizing Committee, 2004-05

Hiring Committee, Williams College Department of Mathematics and Statistics, 2004-05, 2005-06, 2007-08

Other Service

Special Session on Number Theory, AMS Eastern Section Meeting, April 2007

Co-Organizer

Special Session on The Arithmetic of Function Fields, Joint Mathematics Meetings 2007

Co-Organizer

Undergraduate Mathematics Seminar, Brown University

       Organizer, 2002-03

       Speaker, 2002

Mathematics Resource Center, Brown University

       Coordinator, 2000-02; Tutor, 1997-2000 Graduate Student Number Theory Seminar, Brown University

       Organizer, 1999-2000

       Speaker, 1998-99, 1999-2000, 2001-02, 2002-03

Referee, Proceedings of the AMS

Reviewer, Math Reviews

• Since 2004

Reviewer, Prentice Hall Publishing, Summer 2001

Solution Manual to Mathematics and Politics:  Strategy, Voting, Power, and Proof, 1995

• American Mathematical Society
• Association for Women in Mathematics
• Mathematical Association of America

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