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. 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

Stanford: Columbia:

Other

I am currently organizing the Stanford Student Probability Seminar.