I am currently a Research Fellow in the University of Oxford.
Categorification, Hall algebras, Representation theory, Higher categories.
My current focus is on categorifying Hall algebras via a geometric approach building on the work of Dyckerhoff and Kapranov. I am interested in studying the underlying geometric structure that controls the different kinds of Hall algebras and using fundamental observations about it to deduce concrete results in the specific cases.
In earlier work we introduced a notion of higher Hopf algebra, of which the geometric Hall algebra construction is an example.