Women and Mathematics
A Program of the Institute for Advanced Study and Princeton University
Symplectic Geometry and Holomorphic Curves
Course Descriptions and
Lecturers:
Undergraduate and Beginning
Graduate Lectures Overall Schedule
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Lecturer:
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Ingrid Daubechies, Princeton
University
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Title:
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An Introduction to Fourier
Analysis and Wavelets, with some applications
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Description:
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Infinite dimensional spaces,
Fourier series,
applications of Fourier series, Haar wavelets, smoother
wavelets
and their algorithms,
sub-division and its role in computer graphics,
applications.
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Teaching
Assistants:
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Cliona Golden, Princeton
University
Cynthia Rudin, Princeton University
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Advanced Graduate
Lectures
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Lecturers:
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Eleny Ionel, University of
Wisconsin
Dusa McDuff, IAS and SUNY Stony Brook
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Title:
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Gromov--Witten invariants in
symplectic geometry
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Description:
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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.
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Teaching
Assistants:
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Olguta Buse, SUNY Stony
Brook
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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.
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