I am currently interested in methods of renormalization in quantum field theory in the context of constructing renormalized interacting field theory Hamiltonians. Another area of current interest is the study of 1-body Schrödinger operators on periodic graphs and networks.
Other areas of interest of recent are spectral and scattering theory for quantum field theory Hamiltonians and, more generally, spectral theory for self-adjoint operators including perturbation theory.
