Geoff Bentsen
Office: Locy 208
Department of Mathematics
Northwestern University
2033 Sheridan Road
Evanston, IL 60208
Email: geoffrey [.] bentsen [at] northwestern [.] edu
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.
Research Papers
L^p regularity for a class of averaging operators on the Heisenberg group
Indiana University Mathematics Journal, Volume 71(2): pp. 819-855 (2022) arXiv preprintL^p regularity estimates for a class of integral operators with fold blowdown singularities Journal of Geometric Analysis, Volume 32(3): p. 89 (2022) arXiv preprint