I am a Ph.D. candidate in mathematics at the University of Toronto, where my advisor is Ragnar-Olaf Buchweitz. I expect to graduate by Spring 2018.
I am interested in homological algebra, commutative algebra, algebraic geometry and representation theory of algebras. Lately, my research interests have revolved around the following:
- Triangulated categories.
- Matrix factorizations, maximal Cohen-Macaulay modules.
- Tilting theory for singularity categories and derived categories of coherent sheaves.
- Hochschild cohomology and support varieties.
- Koszul duality and A-infinity structures, homotopy coherent algebra.