अजिंक्य कुलकर्णी


I'm a PhD student in mathematics, my advisor is Peter Schauenburg. I'm interested in representation-theoretical aspects of conformal field theory (modular tensor categories, quantum groups, vertex algebras), as well as some geometrical aspects, (topological field theories, complex-analytic modular functor). I am also interested in algebraic geometry (group schemes, invariant theory).

preprints »

A topological invariant for modular fusion categories (with Peter Schauenburg and Michael Mignard)

notes »

virasoro algebra

central extensions

modular forms