Christian Serio

About me

I am a third year mathematics PhD student at Stanford University, advised by Amir Dembo.

I am broadly interested in probability theory and its applications to mathematical/statistical physics. Some particular topics of interest include Gibbs measures, line ensembles, spin systems, and random polymers.

Before coming to Stanford, I was an undergraduate at Columbia University, where I worked with Ivan Corwin and Evgeni Dimitrov.

Here is my CV.

Publications and preprints

1. Convergence to stationary measures for the half-space log-gamma polymer, with S. Das. Submitted. [arXiv]
2. Uniform convergence of Dyson Ferrari-Spohn diffusions to the Airy line ensemble, with E. Dimitrov. To appear in Ann. Inst. H. Poincaré Probab. Statist. [arXiv]
3. Scaling limit for line ensembles of random walks with geometric area tilts. Electron. J. Probab. 28: 1-14 (2023). [arXiv] [Journal]
4. Tightness of discrete Gibbsian line ensembles. Stoch. Process. Their Appl. 159: 225-285 (2023). [arXiv] [Journal]
5. Tightness of Bernoulli Gibbsian line ensembles, with E. Dimitrov, X. Fang, L. Fesser, C. Teitler, A. Wang, and W. Zhu. Electron. J. Probab. 26: 1-93 (2021). [arXiv] [Journal]

Invited Talks

1. Probability Seminar, Stanford University, Oct. 2023.
2. Columbia Probability Workshop, Columbia University, May 2023.

Teaching

• Spring 2024: CA for Math 63DM, Modern Mathematics: Discrete Methods
• Winter 2024: CA for Math 151, Intro to Probability Theory
• Winter 2023: TA for Math 53, Ordinary Differential Equations
• Fall 2022: CA for Math 136, Stochastic Processes
• Spring 2022: CA for Math 158, Basic Probability and Stochastic Processes with Engineering Applications
• Fall 2021: CA for Math 19, Calculus I

• Spring 2019-Spring 2021: TA for Math GU4061-4062, Intro to Modern Analysis I & II
• Summer 2020: TA for Math UN1201, Calculus III

Other