2002 Women in Mathematics Program

(May 14-24, 2002)
Tuesday, May 14, 2002 (All day) to Friday, May 24, 2002 (All day)

Symplectic Geometry and Holomorphic Curves

Course Descriptions and Lecturers:

Undergraduate and Beginning Graduate Lectures Overall Schedule



Ingrid Daubechies, Princeton University


An Introduction to Fourier Analysis and Wavelets, with some applications


Infinite dimensional spaces, Fourier series,
applications of Fourier series, Haar wavelets, smoother wavelets
and their algorithms, sub-division and its role in computer graphics,

Teaching Assistants:

Cliona Golden, Princeton University
Cynthia Rudin, Princeton University

Advanced Graduate Lectures



Eleny Ionel, University of Wisconsin
Dusa McDuff, IAS and SUNY Stony Brook


Gromov--Witten invariants in symplectic geometry


The first four lectures will be given by Eleny Ionel. Prof. Ionel will start
by discussing the moduli space of J-holomorphic curves and the Gromov-Witten
invariants, then present some of their properties and applications. Dusa McDuff
will continue lecturing in the second week. Prof. McDuff will concentrate on
discussing one application in detail, so that students can get the flavor of the
needed analysis. The afternoon sessions will discuss examples, further
applications and details of some proofs.

Teaching Assistants:

Olguta Buse, SUNY Stony Brook

Women-in-Science Seminar: Karen Uhlenbeck

Special Lectures: Yakov Eliashberg & Others

In Addition:

  • research seminars
  • course and seminar presentations by participants at every level
  • working problem sessions

All participants are encouraged to interact with the local research community and work with scholars at higher and lower levels. Dinners and social activities are organized by the participants themselves. Lecturers and mentors serve on a volunteer basis and usually gain from their involvement in the program.