I am broadly interested in mathematical physics, with emphasis on dispersive partial differential equations. I am particularly drawn to applications of the spectral theory of operators and aspects of functional analysis.
My current research focuses on obtaining dispersive estimates for the Schrödinger and wave equations through the development of a new, abstract conjugate operator method.
Areas of interest:
Spectral theory of Schrödinger operators
Dispersive and nonlinear partial differential equations
C*-algebras