Lisa Traynor 

Mathematics Department 

Bryn Mawr College

Bryn Mawr, PA 19010



EDUCATION 

State University of New York at Stony Brook, Ph.D. in Mathematics, 1992.
Advisor: Professor Dusa McDuff 

Beloit College, Beloit, Wisconsin, B.S. in Mathematics, Summa Cum Laude, 1987.


PROFESSIONAL APPOINTMENTS 

Bryn Mawr College,
Professor of Mathematics, Fall 2006-present;
Associate Professor of Mathematics, Fall 1999 - 2006;
Assistant Professor of Mathematics, 1993 - 1999.

University of Pennsylvania Visitor, 2005-2006.

Institute for Advanced Study, Visitor for Program on Holomorphic Curves, Princeton, NJ, Fall 2001-Spring 2002.

Institute for Advanced Study Member, Princeton, NJ, Spring 2001.

American Institute of Mathematics, Member of the Contact Geometry Program, Palo Alto, CA, Fall 2000.

Mathematical Sciences Research Institute Member, Low Dimensional Topology Program, Berkeley, 1996-1997.

Isaac Newton Institute of Mathematical Sciences Member, Program on Symplectic Geometry, Cambridge, England, Fall 1994.

Centre Emile Borel, Institut Henri Poincare Fellow, Symplectic Topology Semester, Paris, France, February - July 1994.

NSF Postdoctoral Fellow at Stanford University, September 1993 - February 1994.

Mathematical Sciences Research Institute Postdoctoral Fellow, Berkeley, 1992 - 1993.

Teaching Assistant and Research Fellow, SUNY Stony Brook, 1987- 1992.


RESEARCH FUNDING AWARDS 

Mellon Tricollege Fellow, "Faculty-Student Seminar in Topology", 2005-06.

Mellon Tricollege Fellow, "Faculty Seminar in Contact Topology", 2004-05.

National Science Foundation Research Grant, Division of Mathematical Sciences, Geometric Analysis, 1999-2003.

National Science Foundation Mathematical Sciences Postdoctoral Research Fellowship, 1993-1997.

Fellowship through Ministère des Affaires Etrangères, France, to attend Symplectic Topology Program at Institut Henri Poincaré, Spring 1994.

Funded Participant for the Séminaire de Mathematiques Superieures NATO Advanced Study Institute on Gauge Theory and Symplectic Geometry, Montréal, Canada, July 1995.

Funded Participant for the NSF Regional Geometry Institute on Algebraic Geometry, Park City, Utah, June - July 1993.

Alfred P. Sloan Doctoral Dissertation Fellowship, 1991-1992.

 

OTHER AWARDS

Mathematics Department Teaching Award, State University of New York at Stony Brook, 1992.

Beloit College,
Presidential Scholarship, 1983-1987;
Conwell P. Huffer Prize in Mathematics, 1987;
Phi Beta Kappa Membership, 1986.

 

PROFESSIONAL MEMBERSHIPS

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

 

SELECT NATIONAL PROFESSIONAL SERVICE

 

STUDENT ADVISING

Ph.D. DIRECTION

Jean Mastrangeli, PhD 1997, Symplectic Packings in Cotangent Bundles of Tori

Jill Jordan, PhD 2006, Generating Family Invariants for Legendrian Links of Unknots Jennifer Dalton, PhD (expected 2008), Legendrian Torus Links

MASTER'S DIRECTION

Jane Holsapple, MA 2002, Chekanov’s Decomposition Invariant for Legendrian Knots

Kim Urso, MA 2004, Morse Theory

Emi Arima, MA 2005, The Arnold Invariants of Plane Curves

Devasish Majumdar, MA 2005, Arnold’s 4-Cusp Conjecture

UNDERGRADUATE RESEARCH AND THESIS DIRECTION

Elaina Khenina, 1999, Invariants for Legendrian Knots

Rachael Thomas, 2000, Chirality of Knots (Honors Thesis)

Sarah Crown, 2001-2002, Symplectic Packing Constructions (Marshall Fellow)

Cora Marty, 2004, Double Soap Bubbles in the Plane

UNDERGRADUATE SUMMER RESEARCH SUPERVISION

Juliana Belding,1999, Number Theory behind Symplectic Packings

Elaina Khenina and Jennifer Faerber, 1999, Tangle Calculations in DNA-enzyme Mechanisms

 

PUBLICATIONS

Legendrian torus links, Dalton, J., Etnyre, J.B., and Traynor, L., in preparation.

Generating family invariants for Legendrian links of unknots, Jordan, J. and Traynor, L., Algebraic and Geometric Topology, Volume 6, 763-807, 2006.

Legendrian Solid-Torus Links, Ng, L. and Traynor, L., Journal of Symplectic Geometry, Volume 2, Number 3, 411-443, 2004.

Generating Function Polynomials for Legendrian Links, Traynor, L., Geometry and Topology, Vol. 5 (2001) Paper no. 23, pages 719--760.

Symplectic Packings of Cotangent Bundles of Tori, Maley, F. M., Mastrangeli, J. and Traynor, L., Experimental Mathematics, Vol 9, No. 3, 2000, 435-455.

Symplectic Geometry and Topology, IAS/ Park City Mathematics Series, Vol 7, Eliashberg, Y. and Traynor, L., eds., 1999.

A Legendrian Stratification of Rational Tangles, Traynor, L., Journal of Knot Theory and its Ramifications, Vol 7, No. 5, 1998, 659-700.

Legendrian Circular Helix Links, Traynor, L., Mathematical Proceedings of the Cambridge Philosophical Society, Vol 122, 1997, pp. 301 - 314.

Symplectic Packing Constructions, Traynor, L., Journal of Differential Geometry, Vol 42, No. 2, 1995, 411 - 429.

Symplectic Homology via Generating Functions, Traynor, L., Geometric and Functional Analysis, Vol. 4, No. 6, 1994, pp. 718 - 748.

Symplectic Embedding Trees for Generalized Camel Spaces, Traynor, L., Duke Mathematics Journal, Vol. 72, No. 3, December 1993, pp. 573 - 594.

The 4-dimensional Symplectic Camel and Related Results, McDuff, D. and Traynor, L., in Symplectic Geometry, D. Salamon (ed.), London Mathematical Society Lecture Note Series, Cambridge Univ. Press, 1993, pp. 169 - 182.

Symplectic Embeddings of Balls and the Mapping Problem, Traynor, L., Ph.D. Dissertation, State University of New York at Stony Brook, August 1992.

 

PRESENTATIONS OF PAPERS (SELECT)