Part B Extended Essay - A categorical approach to subgroups of quantum groups and their crystal bases - supervised by Professor Kobi Kremnizer - expository paper available here
Part C Dissertation - Koszul duality in quasi-abelian categories - supervised by Dr Jack Kelly
I work on a new theory of Derived Analytic Geometry proposed by Ben-Bassat, Bambozzi, Kelly, Kremnizer, and Mukherjee as homotopical geometry relative to the category of simplicial modules over a complete bornological ring. I am specifically interested in studying higher stacks in this context. See the 'Talks' section for some expository notes about this area.