I am a Professor of Mathematics
I am also affiliated with the AMCS
My research interests lie at the intersection of harmonic analysis and geometry, including the study of geometric averaging operators (generalizing the Radon transform), oscillatory integral operators, sublevel set estimates, Fourier
restriction, and related objects.
I have also worked on
applications of harmonic analysis to PDEs including the Boltzmann equation and the Gross-Pitaevskii
Hierarchy. I am currently
supported by NSF grant DMS-1361697.