MATH 561 Home

This will all make sense when I am older.

We're older now, so it's time things make sense. This wiki is an attempt move at least one step in that direction, by collecting together all of the information we'll be discovering on our journey this quarter through module theory and category theory. Everything should be treated as a work-in-progress, with notes changing and updating frequently.[1] Feel free to peruse at your leisure.

Recent class summaries


Did you miss a class, or maybe just need a reminder about what we covered on a specific day? Check out our daily class summaries. Below you can find the four most recent classes. The full collection of summaries is available here.

Class Date Topics Covered
2025-10-24
  • Chain complexes
  • Exact sequences
  • Projective modules
2025-10-23
  • Chain complexes
  • Exact sequences
2025-10-17
  • Yoneda's lemma
2025-10-16
  • Tensor products

Homework assignments


Although the weekly assignments should be submitted digitally in Canvas, the assignments themselves are posted here. You can also see when the assignments were last updated, whether it were to correct mistakes, add hints, or post solutions.

Assignment Due Date Last Updated
Homework 7 November 02, 2025 7:32 AM - October 24, 2025
Homework 5 October 19, 2025 9:29 AM - October 22, 2025
Homework 4 October 12, 2025 11:17 AM - October 13, 2025
Homework 3 October 05, 2025 11:01 AM - October 09, 2025
Homework 2 September 28, 2025 3:02 PM - October 04, 2025
Homework 1 September 21, 2025 3:02 PM - October 04, 2025

  1. At the top of each page you should see a timestamp indicating the last time that page was updated. ↩︎