Propagation of Singularities, Diffraction and Decay of Waves

I will remain in the Chicago area for my leave, but avail myself of the opportunity for increased travel to visit collaborators at Bath, UCL, Stanford, and Texas A&M. My research will focus on understanding diffraction effects in problems of wave propagation and eigenfunction asymptotics, as well as on the decay of waves in a variety of non-Euclidean geometries.