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

  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. To appear in J. Funct. Anal. [arXiv]
  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

Stanford: Columbia:

Other

I am currently organizing the Stanford Student Probability Seminar.