MATH 503

Spring 2026 Part of Term 1

Part of Term 1
Jan 20-May 6

Intro Geometric Group Theory

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Credit: 4 hours.

Free groups, groups given by generators and relations, van Kampen diagrams. Free product with amalgamations and HNN-extensions, Bass-Serre theory. Solvable and nilpotent groups. Quasi-isometries and geometric properties of groups.

Prerequisite: MATH 500 or equivalent.

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MATH 503 class schedule data for spring 2026
	CRN	Type	Section	Time	Day	Location	Instructor	Section Details
	39508	Lecture-Discussion	A1	3:00PM -3:50PM	MWF	336 Davenport Hall	Mineyev, I	Part of Term: 1 Date Range: 01/20/26-05/06/26 Section Info: Students from the following programs must contact the Director of Graduate Studies in Mathematics <rdeville@illinois.edu> to request permission to register for the course: MS:Economics:Policy Econ -UIUC, MS:Statistics -UIUC, MS:Statistics -- Applied -UIUC, MS: Statistics: Analytics, or MS: Financial Engineering. Restriction(s): Not intended for Undergrad - Urbana-Champaign. Not intended for MS:Economics:Policy Econ -UIUC, MS:Statistics -UIUC, MS:Statistics -- Applied -UIUC, MS:Economics:Policy Econ -UIUC, MS: Financial Engineering, or MS: Statistics: Analytics-UIUC.