Eric Thoma's web page.

I am an NSF postdoc in the Department of Mathematics at Stanford University.

In May 2023, I received a PhD in mathematics from New York University. I was advised by Sylvia Serfaty.  My CV can be found here.

My research interests include probability and mathematical physics. I am particularly interested in the Coulomb gas and in lattice models from statistical physics.

I can be reached at thoma (at) stanford.edu.

Below is a list of my (pre-)published research.

1. Thermodynamic and scaling limits of the non-Gaussian membrane model. Ann. Probab. 51 (2) 626-664, March 2023. journal, pdf.

2. Overcrowding and separation estimates for the Coulomb Gas. Comm. Pure Appl. Math. December 2023. journal, unrevised version pdf.

3. Non-rigidity properties of the Coulomb gas. accepted Ann. Probab, 2023. arxiv.

4. with D. Padilla-Garza, L. Peilen. Emergence of a Poisson process in weakly interacting particle systems. submitted, 2024. arxiv.

5. A maximum principle for the Coulomb gas: microscopic density bounds, confinement estimates, and high temperature limits. submitted, 2025. arxiv.

My teaching at Stanford includes:

1. MATH 136/STAT 219 Stochastic Processes, Autumn 2024.

2. MATH 151: Introduction to Probability Theory, Winter 2025.

3. MATH 171: Fundamental Concepts of Analysis, Autum 2025.