Accepting PhD Students

PhD projects

My research interests are in computational algebra, asymptotic group theory, and algebraic combinatorics. I develop efficient algorithms to aid in various isomorphism problems---in particular for finite nilpotent groups, which is a known bottleneck in the Group Isomorphism Problem. The Group Isomorphism Problem is closely related to the Tensor Isomorphism Problem, so I am also interested in tensors, their structure, and their applications to algebra. I also apply combinatorial tools to understand and compute certain p-adic integrals coming from zeta functions of groups and rings and Igusas zeta function. These can be used to better understand enumerative aspects of groups, rings, and algebras such as the number of finite-index subgroups of a group.