Dr. Philip Gressman

Biography

Philip T. Gressman is a Professor in the Department of Mathematics at the University of Pennsylvania. His research interests lie at the intersection of harmonic analysis and geometry, specifically focusing on geometric averaging operators that generalize the Radon transform, oscillatory integral operators, and sublevel set estimates. He has worked on applications of harmonic analysis to partial differential equations, the Boltzmann equation, and the Gross-Pitaevskii hierarchy. He explores the connections between Fourier restriction theory and classical geometric invariant theory, contributing significant results in the characterization of symmetric behaviors of geometric quantities. His professional activities include co-advising students in the Bridge Fellowship program and developing active learning techniques that enhance student engagement and reduce failure rates in STEM courses. Gressman has also authored articles on fostering social belonging in the classroom and has been involved in innovative computational content creation to improve the learning experience in mathematics education.

Research Interests

Experience

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