MATH 750
HOMOLOGICAL ALGEBRA
Topics include: complexes, cohomology, double complexes, spectral sequences; abelian categories, derived categories, derived functors; Tor and Ext, Koszul complexes; group cohomology; sheaf cohomology, hypercohomology. Basic graduate algebra courses (e.g. MATH 741 and 742 ) are strongly recommended
Topics
- complexes
- cohomology
- double complexes
- spectral sequences
- abelian categories
- derived categories
- derived functors
- Tor and Ext
- Koszul complexes
- group cohomology
- sheaf cohomology
- hypercohomology
Topics explicitly listed in official catalogue description
Prerequisites & course information
Requisites: Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program Course Designation: Grad 50% - Counts toward 50% graduate coursework requirement Repeatable for Credit: No Last Taught: Fall 2025
Sources
- Course catalogue ↗2026-2027