MA 57600, Fall 2026
Homological Algebra

Credit Hours: 3.00.  Homological algebra is an indispensable tool in many areas of mathematics, such as topology, algebra, algebraic geometry and mathematical physics related to string theory. We will start with the basic theory of derived functors like Tor and Ext, and then move to localization, roof calculus derived categories and triangulated categories. We will end the regular topics by discussing model categories. If time permits, and depending on the audience, we will treat additional topics like exceptional collections, stability conditions and perverse sheaves. Throughout we will use examples from topology and algebraic geometry.

Instructor Info

Important Notes

• ADA policies: please see our ADA Information page for more details.
• In the event of a missed exam, see your instructor/professor as soon as possible.
• See the online course evaluation page for more information on how we collect course feedback from students.