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 Summer 2018.
I am interested in homological algebra, commutative algebra, algebraic geometry (classical and noncommutative) and representation theory of algebras. Lately, my research interests have revolved around the following:
- triangulated categories, principally the structure of singularity categories and derived categories of coherent sheaves;
- Tilting theory, exceptional collections and their applications;
- Hochschild cohomology and support varieties;
- general phenomena involving Koszul duality and A-infinity structures.