MATH 239Homological Algebra
Homology and cohomology theories have proven to be powerful tools in many fields (topology, geometry, number theory, algebra). Independent of the field, these theories use the common language of homological algebra. The aim of this course is to acquaint the participants with basic concepts of category theory and homological algebra, as follows: chain complexes, homology, homotopy, several (co)homology theories (topological spaces, manifolds, groups, algebras, Lie groups), projective and injective resolutions, derived functors (Ext and Tor). Depending on time, spectral sequences or derived categories may also be treated. MATH 200 and MATH 202 strongly recommended.
Enrollment is restricted to graduate students.
Find a section and add it to your scheduleLive seat counts, time-conflict checks and the walk from your previous class.
When it runs
Winter 2026Open Winter 2026
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | Mon Wed 9:50am–11:25am | McHenry Clrm 1279 | E. Mackall | Open 8/20 |
Who teaches it
| Instructor | Rating | Difficulty | Would take again | Reviews |
|---|---|---|---|---|
| Eoin Mackall | 1.1 / 5 | 4.6 / 5 | 2% | 45 |
From RateMyProfessors, which is student-submitted and not a survey. Small review counts move a long way on one bad quarter.
SlugAtlas is a student project and is not affiliated with, endorsed by, or operated by UC Santa Cruz. Course data is a snapshot of the public class search; myUCSC is authoritative for enrolment.