Christian Serio

About me

I am a fourth 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, growth models, and random interfaces.

Here is my CV.

Publications and preprints

1. Scaling limit and tail bounds for a random walk model of SOS level lines, with Milind Hegde and Yujin H. Kim. Submitted. [arXiv]
2. Convergence to stationary measures for the half-space log-gamma polymer, with Sayan Das. J. Funct. Anal. 289(4): 110982 (2025). [arXiv] [Journal]
3. Uniform convergence of Dyson Ferrari--Spohn diffusions to the Airy line ensemble, with Evgeni Dimitrov. Ann. Inst. H. Poincaré Probab. Statist. 61(1): 385-402 (2025). [arXiv] [Journal]
4. Scaling limit for line ensembles of random walks with geometric area tilts. Electron. J. Probab. 28: 1-14 (2023). [arXiv] [Journal]
5. Tightness of discrete Gibbsian line ensembles. Stoch. Process. Their Appl. 159: 225-285 (2023). [arXiv] [Journal]
6. 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. Stochastics Seminar, University of Utah, Mar. 2025.
2. Probability Seminar, Stanford University, Oct. 2023.
3. Columbia Probability Workshop, Columbia University, May 2023.

Teaching

• Spring 2024,25: TA 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