MATH 510

Fall 2025 Part of Term 1

Part of Term 1
Aug 25-Dec 10

Credit: 4 hours.

An introduction to Riemann Surfaces from both the algebraic and function-theoretic points of view. Topics include holomorphic and meromorphic differential forms, integration of differential forms, divisors and linear equivalence, the genus of a compact Riemann surface, projective algebraic curves, the Riemann-Roch theorem, and applications.

Prerequisite: MATH 542.

MATH 510 class schedule data for fall 2025
CRN Type Section Time Day Location Instructor Section Details
39228
Lecture-Discussion
Q1
11:00AM -12:20PM
TR
212 David Kinley Hall
Katz, S
Part of Term:
1
Date Range:
08/25/25-12/10/25
Section Info:
Undergraduates seeking approval to enroll should obtain permission from the Math Undergrad Director by filling out the webform located at https://forms.illinois.edu/sec/1209343045 Students from the following programs must contact the Director of Graduate Studies in Mathematics (math-grad@illinois.edu) to request permission to register for the course: MS:Economics:Policy Econ -UIUC or MS: Financial Engineering. Restricted to Graduate - Urbana-Champaign. Not intended for MS:Economics:Policy Econ -UIUC, MS:Economics:Policy Econ -UIUC, MS: Financial Engineering, MENG:Mechanical Enginerng-UIUC, MENG:Elec & Computer Eng-UIUC, or MENG:Engineering:Comp Eng-UIUC
Restriction(s):
Restricted to Graduate - Urbana-Champaign. Not intended for MS:Economics:Policy Econ -UIUC, MS:Economics:Policy Econ -UIUC, or MS: Financial Engineering.
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