Tag
April 2025
An explanation of Beilinson's famous 'Problems in Linear Algebra', in particular showing how his paper gives a full strong exceptional collection and a derived equivalence to quiver representations.
March 2025
An introduction to the machinery of tilting sheaves for writing down derived equivalences. In particular, we compute the functors explicitly in some examples.
October 2024
An introduction to Bridgeland stability, which, granted, doesn't get much farther than discussing t-structures.
December 2021
We get our feet wet in category theory through universal properties, examples, and the uniqueness of products and coproducts.