Geoff Bentsen

My research uses microlocal analysis and Bourgain-Demeter decoupling to investigate the regularity of generalized Radon transforms and Fourier integral operators associated to degenerate canonical relations. Examples of these Radon transforms include averaging operators over certain families of curves in the Heisenberg group and restricted X-ray transforms. I am interested in many problems in harmonic analysis, especially those where oscillatory integrals and geometry play a role.  Here is a more in depth introduction to my current research.