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Course Descriptions

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

Xiaojun Huang


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.


Notes written by the Instructor to be distributed during the lectures


501, 503

Sections Taught This Semester:

For more information on instructors and sections for Spring 2018, please see our Spring 2018 Teaching Schedule Page

For more information on instructors and sections for this course for other semesters, please see our Teaching Schedule Page

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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