**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.

**P****ROFESSIONAL MEMBERSHIPS**

American Mathematical Society

Association for Women in Mathematics

Mathematical Association of America

**SELECT NATIONAL PROFESSIONAL SERVICE**

- Association for Women in Mathematics (AWM) Executive Committee, 2008 – 2012.

- Associate Editor for Book Reviews of the Bulletin of the American Mathematical Society, 2006 – 2009.

- Program Committee Member of the Institute for Advanced Study Women’s Program, 1996-Present.

- Associate Editor for the Notices of the American Mathematical Society, 2000-present.

- Author of article on Bryn Mawr Alumnae, MAA Math Horizons, September 2007.

- Author of Book Review for the Bulletin of the AMS, 2005.

- Workshop Leader for “Expanding Your Horizons Conference” for Girls in Math and Science, Swarthmore College, March 2006.

- Organizing Committee Member of FRG Workshop “Algebraic Geometry, Symplectic Geometry and Theoretical Physics: a conference celebrating the contribution of women researchers”, University of Pennsylvania, May 2005.

- American Mathematical Society Council Member-at-Large, 2000 – 2003.

- American Mathematical Society Committee on Education Member, 2000-2003.

- Organizer of AMS Education Committee Panel “Successfully Recruiting Math Majors”, Baltimore, January 2003.

- Honors examiner, Swarthmore College, Spring 2004 and 1996.

- Instructor for MathCamp ‘99, (an international summer school for mathematically gifted high school students), University of Washington, July 1999.

- Coorganizer with Y. Eliashberg of the Research Program for the Institute for Advanced Study/ Park City Mathematics Institute on Symplectic Geometry and Topology, 1997.

- Graduate Program Coordinator and Lecturer for the Institute for Advanced Study/Park City Mathematics Institute Women’s Program on Symplectic Geometry, May 1997.

**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)**

- Columbia University Topology Seminar, December 2006.

- Dartmouth Colloqium, November 2006.

- Dartmouth Geometry Seminar, November 2006.

- Penn State Geometry and Dynamics Seminar, October 2006.

- MASS Colloqium, Penn State, October 2006.

- AMS Special Session on Symplectic and Contact Geometry, New Hampshire, April 2006.

- Penn Geometry Seminar, March and October 2005.

- American Institute of Mathematics, Special Program on Holomorphic Curves in Contact Geometry, Palo Alto, August 2003.

- AMS Special Session on Symplectic and Contact Geometry, New York, April 2003.

- Swarthmore Colloquium, November 2002.

- UC-Berkeley Mathematics Colloquium, September 2000.

- Rice University Mathematics Colloquium and Geometry Seminar, September 2000.

- UC-Santa Cruz Mathematics Colloquium, September 2000.

- Stanford University Mathematics Colloquium, November 2000.

- Canadian Mathematical Society Joint Meeting, Symplectic Geometry Session, McMaster University, June 2000.

- Cornell Mathematics Colloquium, March 2000.

- Lehigh University Mathematics Colloquium, September 1999.

- AMS Special Session on Integrable Systems, Buffalo, April 1999.

- AMS special session on Symplectic Geometry and Topology, Urbana, March 1999.

- Invited Lecture at Texas Geometry and Topology Conference, February 1999.