Gregg Zeitlin Assistant Professor of Mathematical Sciences
Carnegie Mellon University
Research
I work at the intersection of mathematical physics, nonlinear partial differential equations, and probability. My research focuses on effective dynamics and structure in large many-body systems, including Coulomb and Riesz gases, with more recent connections to statistics and machine learning.
Research Blog
Here I write about recent results, ongoing projects, interesting mathematical observations, and broader questions arising from my work. The goal is to communicate ideas sooner than formal publication allows and make my current interests visible to researchers working on related problems. I hope it also creates opportunities for conversation and collaboration. If a blog post overlaps with your interests, I would be glad to hear from you.
News
We are hiring. The Department of Mathematical Sciences at Carnegie Mellon University is conducting two tenure-track searches: an open-rank position in computational mathematics and an Assistant Professor position in mathematical finance.
Student recognition. My Ph.D. student Kyunghoo Mun has been awarded a Simons Dissertation Fellowship in Mathematics. Congratulations, Kyunghoo!
Fall 2026. I am teaching Functional Inequalities: From Analysis to Probability, an undergraduate topics course supported by NSF grant DMS-2441170. Course website →
Selected recent preprints
- With M. Delgadino and R. Gvalani, Sharp mean-field estimates for diffusive log/Riesz gases in the Hilbert–Schmidt regime (2026).
- Uniform logarithmic Sobolev inequalities for the 2D Coulomb gas at the diffusive temperature scale (2026).
- Fixed-particle-number optimizers for the Lieb–Oxford inequality (2026).
- With D. Slepčev and L. Wang, Wasserstein gradient flows of maximum mean discrepancy with energy kernels (2026).
- With A. Chodron de Courcel, Wasserstein gradient flows for Coulomb discrepancies (2026).