MATH 566 Advanced Complex Analysis and Riemann Surfaces

4 credits · Mathematics and Statistics · Faculty of Science · Not scheduled for 2026–2027

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 permittin…

Prerequisites

MATH 249 and MATH 455

Prerequisite courses: MATH 249, MATH 455

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