Education

Columbia University, Ph.D. in Mathematics, 2002.

Advisor: Joan S. Birman. Thesis: The Markov theorem for transverse knots.
Columbia University, M.A. in Mathematics, 1997.
Barnard College, A.B. in Mathematics, 1995.

Research Publications

• Parametrizations of holonomic and Legendrian knots,with Joan Birman, in J.Knot Theory and its Ramifications., 9 No. 3 (2000), p. 293-309.
• On transversally simple knots, with Joan Birman, in J. Diff. Geom., 55 (2000), pp 325-354.

Teaching Experience

• 2001-2003: VIGRE (Vertical Integration in Research and Education) postdoctoral researcher, Department of Mathematics, University of Georgia
  
  Taught first and third semester Calculus. Taught Geometry for Middle School Teachers and Algebra for Middle School Teachers, two content courses for mathematics education majors.
• 1997-2001: Instructor, Department of Mathematics, Columbia University
  
  Taught first and second semesters of Calculus. Taught Intermediate Algebra, a precalculus course designed for students who are familiar with basic mathematics but not prepared for the traditional precalculus course.
• Summer 1999: VIGRE mentor, Department of Mathematics, Columbia University
  
  Developed and led an undergraduate summer research program in knot theory, funded by the department's VIGRE grant and using the computer algebra system Mathematica. Project was based on the paper Parametrizations of holonomic and Legendrian knots. Responsibilities included presenting daily lectures, preparing students to give formal mathematics talks, and advising students in their research.
• 1996-1999: Teaching Assistant, Columbia University
  
  Assisted with all semesters of Calculus. Taught recitation sections for first and second semester Calculus using the computer algebra system Mathematica. Graded exams and homeworks.

Selected Talks

• March 2003, "Ropelength-critical clasp configurations." Texas Tech University, Spring Topology and Dynamical Systems Conference.
• Fall 2002, "An introduction to Oszvath-Szabo invariants of 3-manifolds". University of Georgia, Athens, topology seminar, 5 week lecture series.
• October 2002, "The ropelength of the simple clasp." AMS central sectional meeting, Madison, Wisconsin, special session: Optimal Geometry of Curves and Surfaces.
• October 2001, "Arc presentations of knots and braids." Emory University, Topology Seminar.
• October 2001, "Introduction to knot theory." University of Georgia, Athens, VIGRE Seminar for graduate students.
• December 2000, "Transverse knot theory." University of Pennsylvania, Topology Seminar.
• September 2000, "On transversally simple knots" State University of New York, Buffalo, Topology Seminar.
• October 1998, "Holonomic parametrizations of knots." Columbia University, undergraduate math club.

Service

• Organized 2003 Georgia Topology Conference at University of Georgia.
• Memberships: AMS, AWM.
• Referee for J.Knot Theory and its Ramifications and Algebraic and Geometric Topology.
• Faculty mentor for the EDGE (Enhancing Diversity in Graduate Education) program.