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
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 information →
Selected recent preprints
- 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).
- With K. Mun, Phase transitions for the noisy transformer model in arbitrary dimension (2026).
- With K. Mun, Phase transitions in Doi–Onsager, Noisy Transformer, and other multimodal models (2026).