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Course Descriptions

16:640:504 - Theory of Functions of a Complex Variable II

Xiaojun Huang

Text:

Notes written by the Instructor to be distributed during the lectures

Prerequisites:

501, 503

Description:

This will be a continuation of Math 503. It is a fundamental course for anyone who wants to pursue their further studies in pure mathematics. The following two parts will be covered:

(1) Classical Complex Analysis and (2) Riemann surfaces.

Part 1. Classical Complex Analysis. We will discuss topics not covered in Math 503, such as the invariant metrics, Picard theorems, elliptic functions.

Part 2. Introduction to Riemann surfaces. Hyperbolic geometry, uniformization theorem, Riemann-Roch theorem, Abel theorem.

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530