Christian Serio
Stanford University
Department of Mathematics
Email: cdserio [at] stanford [dot] edu
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, random polymers, and spin systems.
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
- Convergence to stationary measures for the half-space log-gamma polymer, with S. Das. Submitted. [arXiv]
- 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]
- Scaling limit for line ensembles of random walks with geometric area tilts. Electron. J. Probab. 28: 1-14 (2023). [arXiv] [Journal]
- Tightness of discrete Gibbsian line ensembles. Stoch. Process. Their Appl. 159: 225-285 (2023). [arXiv] [Journal]
- 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
- Probability Seminar, Stanford University, Oct. 2023.
- Columbia Probability Workshop, Columbia University, May 2023.
Teaching
Stanford:
- Spring 2024: 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
Columbia:
- Spring 2019-Spring 2021: TA for Math GU4061-4062, Intro to Modern Analysis I & II
- Summer 2020: TA for Math UN1201, Calculus III
Other
I am currently organizing the Stanford Student Probability Seminar.