Basic Complex Analysis II: Introduction to Riemann surfaces (Spring 2025)
This course gives an introduction to the theory of Riemann surfaces. Our ultimate aim is to concentrate on the geometry of Riemann surfaces, and to see how this is intimately related to more traditional analytic questions as well as to general themes in algebraic geometry. For background, we will assume only familiarity with a first course in complex analysis, but we will cover the necessary topology and projective geometry as we encounter a need for them.
Homework
- Assignment 6 (Due Feb. 26)
- Assignment 5 (Due Feb. 19)
- Assignment 4 (Due Feb. 12)
- Assignment 3 (Due Feb. 5)
- Assignment 2 (Due Jan. 29)
- Assignment 1 (Due Jan. 21)
- Notes by Curt McMullen
- Griffiths-Harris, Principles of algebraic geometry
- Miranda, Algebraic curves and Riemann surfaces
- Boards from class, January 21