MATH 510

Fall 2026 All Classes

All Classes

Riemann Surf & Algebraic Curv

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.

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MATH 510 class schedule data for fall 2026
	Status		CRN	Type	Section	Time	Day	Location	Instructor	Section Details
			39228	Lecture-Discussion	Q1	2:00PM -2:50PM	MWF	1038 Literatures, Cultures, & Ling		Availability: Open (Restricted) Part of Term: 1 Date Range: 08/24/26-12/09/26 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.