# RIEMANN SURFACES

### MATH625.01

Compact Riemann Surfaces, maps to projective space, Riemann-Roch Theorem, Serre duality, Hurwitz formula, Hodge theory in dimension one, Jacobians, the Abel-Jacobi map, sheaves, Cech cohomology. Instructor: Staff

Prerequisite:
Prerequisite: Mathematics 633 and Mathematics 611 or consent of instructor.
Instructor: Hain, Richard
Time: TuTh 1:25pm-2:40pm
Location: Physics 227