MATH 566. Advanced Complex Analysis and Riemann Surfaces
Note: For information about Fall 2025 and Winter 2026 course offerings, please check back on May 8, 2025. Until then, the "Terms offered" field will appear blank for most courses while the class schedule is being finalized.
MATH 566
Advanced Complex Analysis and Riemann Surfaces
Credits: 4
Offered by: Mathematics and Statistics (Faculty of Science)
This course is not offered this catalogue year.
Description
Brief review of holomorphicity and contour integration. Analytic continuation and the monodromy theorem, normal families. Riemann surfaces; elliptic functions; Picard theorem. Riemann zeta function and prime number theorem. Relations with harmonic analysis; the uniformization theorem. Time permitting, additional material such as: Hodge decomposition, divisors, the Riemann Roch formula, or rudiments of moduli spaces.
- Fall
- Prerequisites: MATH 249 and MATH 455
Most students use Visual Schedule Builder (VSB) to organize their schedules. VSB helps you plan class schedules, travel time, and more.
Launch Visual Schedule Builder