Course Notes

1996 A Stab at Some Algebraic Geometry

Fall 1999 An Introduction to Algebra

Fall 1999 Construction of the Hilbert Scheme

Fall 2000 Genus Zero Gromov-Witten Invariants

Summer 2001 Park City Lectures on Computing Gromov-Witten Invariants

These lectures followed some excellent lectures by Bill Fulton and Barbara Fantechi. My goal was to show how far we can get if we forget all the motivation from physics and all the important contributions from symplectic geometry and treat the computation of Gromov-Witten invariants as though it were an exercise in algebraic geometry. I am not advocating this point of view, but I do think these notes demonstrate that even in this limited setting, the problem is fascinating and the recent techniques (especially localization) are surprisingly effective.

Cover Page dvi | ps
Lecture 1. Introduction and Motivation. dvi | ps
Lecture 2. Localization. dvi | ps
Lecture 3. Some Enumerative Geometry Inspired by the Mirror Conjecture. dvi | ps
Lecture 4. Reconstructing by Localizing. dvi | ps

Home | Math Dept
Last modified on Wednesday, 20-Mar-2002 09:26:28 MST