I am a Dickson instructor in the Mathematics Department of University of Chicago. This is my curriculum vitae.

My research interest lies in integrable probability, particularly asymptotic analysis of stochastic integrable systems with a focus on their interplay between random matrix theory, statistical physics and stochastic partial differential equations.

Email: xuanw@uchicago.edu

Department of Mathematics, University of Chicago

Office: Eckhart 319.

- Determinantal structures for Bessel fields, with L. Benigni, P.K. Hung, preprint (2021).
- The Bessel line ensemble , with G. Lawler, preprint (2021).
- Tightness of ($H,H^{RW}$)-Gibbsian line ensembles, with E. Dimitrov, preprint (2021).
- Brownian regularity for the KPZ line ensemble, preprint (2021).
- Convergence of the KPZ line ensemble, preprint (2021).
- KMT coupling for random walk bridges, with E. Dimitrov, Probability Theory and Related Fields (2021).
- Tightness of discrete Gibbsian line ensembles with exponential interaction Hamiltonians, preprint (2020).
- Intermediate disorder regime for half-space directed polymers, Journal of Statistical Physics (2020).
- Concavity of the Lagrangian phase operator and applications, with T. Collins, S. Picard, Calculus of Variations and Partial Differential Equations (2017).