ASSIGNMENT 1: PDF (Due March 11 in class)
ASSIGNMENT 2: PDF (Due April 17 in class)
ASSIGNMENT 3: PDF (Due May 15 in class)
OFFICE HOUR: Thursday 4:30-5:30pm (better to ask questions via email, this will usually produce better responses)
Instructor: Marco Gualtieri  office 2-171
Topics: A mixture of nonlinear geometric analysis, algebraic geometry, and Riemannian geometry. Uniformization, Moduli space and Teichmuller space, Line bundles and divisors, Sheaves and cohomology, the Riemann-Roch theorem.
Main text: Jost's "Compact Riemann Surfaces", 3rd edition.
This is a challenging but original treatment of Riemann surface theory which provides a modern approach to the uniformization theorem as well as Teichmuller theory. To make up for a slight algebraic weakness (Sheaves), it should be supplemented by any of the texts below.
Evaluation: 100% assignments (5 (no, actually 3) assignments, 20% (no, actually (100/3) % each.)