I am a PhD student at the University of Toronto, currently studying geometric representation theory and W-algebras under Joel Kamnitzer. Before arriving here I received my undergraduate degree in mathematical physics from Queen's University.
Research interests
My research lies in the general areas of geometric representation theory and categorification, both fields which attempt to better understand problems in classical representation theory through the introduction of geometric intuition or higher structure. More specifically I study W-algebras, objects which are closely tied to both the Lie theoretic and Poisson geometric worlds.
The representation theory of W-algebras is strongly related to the classical study of the BGG category O, an object of interest in Lie theory. In particular, a given infinitessimal block of category O can be shown to be equivalent to a subcategory – analogous to category O – of the modules for a particular W-algebra. With this relationship, we can begin to look at many classical categorification constructions using category O from the point of view of W-algebras, gaining new insight into their workings.
For more detailed information, please refer to my statement of research interests (A4 paper).
Publications
- Hamiltonian reduction of Slodowy slices in type A, in preparation.