Christian Serio

About me

I am a fifth year mathematics PhD student at Stanford University, advised by Amir Dembo. I am currently on the postdoc job market.

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. The half-space KPZ line ensemble and its scaling limit, with Sayan Das. Submitted. [arXiv]
2. Scaling limit and tail bounds for a random walk model of SOS level lines, with Milind Hegde and Yujin H. Kim. Submitted. [arXiv]
3. Convergence to stationary measures for the half-space log-gamma polymer, with Sayan Das. J. Funct. Anal. 289(4): 110982 (2025). [arXiv] [Journal]
4. 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]
5. Scaling limit for line ensembles of random walks with geometric area tilts. Electron. J. Probab. 28: 1-14 (2023). [arXiv] [Journal]
6. Tightness of discrete Gibbsian line ensembles. Stoch. Process. Their Appl. 159: 225-285 (2023). [arXiv] [Journal]
7. 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]

Upcoming Talks

1. Probability Seminar, UChicago, Oct 24.
2. LA Probability Forum, UCLA, Nov 6.
3. JMM Section on Random Tilings, Random Permutations, and Particle Systems, Washington, DC, Jan 7.

Invited Talks

1. Columbia University, Probability Seminar, Oct 2025.
2. University of Utah, Stochastics Seminar, Mar 2025.
3. Stanford University, Probability Seminar, Oct 2023.
4. Columbia University, Columbia Probability Workshop, 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