me

I have moved! I am a Simons Postdoctoral Fellow at the Hamilton Mathematics Institute, affiliated with Trinity College Dublin. I obtained my PhD at the University of Toronto in August 2018, where I was advised by Ragnar-Olaf Buchweitz, Colin Ingalls and Joel Kamnitzer. My thesis was titled 'Contributions to the Stable Derived Categories of Gorenstein Rings'.

I am interested in homological/homotopical 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;
  • Koszul duality and A-infinity structures;
  • Hochschild cohomology and support varieties;
  • tilting theory, exceptional collections and their applications;
  • the structure of higher preprojective algebras, Artin-Schelter regular algebras and graded algebras associated to geometric helices.




Preprints

Work in preparation

The last two points are extensions of chapters 2,4,5,6 of my thesis. A copy can be obtained on T-space, or directly here.