Xiao Shen

Department of Mathematics

University of Utah

Email: xshen@math.utah.edu

Office: LeRoy E. Cowles Building (LCB), 202

I will be on the job market in the fall of 2023, and here is my CV.

I am a postdoc in the Department of Mathematics at the University of Utah. My faculty advisor is Firas Rassoul-Agha.

I received my Ph.D. from the University of Wisconsin - Madison in 2021 under the supervision of Timo Seppäläinen.

My research interests lie broadly in the field of probability theory, including its intersections with mathematical physics, analysis, and combinatorics. Currently, I have been interested in developing universal laws that govern the spatial geometry of various random growth models.

Research:

An upper bound on geodesic length in 2D critical first-passage percolation with Erik Bates, David Harper, and Evan Sorensen. Preprint (2023).

Independence property of the Busemann function in exactly solvable KPZ models. Preprint (2023).

Time correlations in KPZ models with diffusive initial conditions with Riddhipratim Basu. Preprint (2023).

Temporal correlation in the inverse-gamma polymer with Riddhipratim Basu and Timo Seppäläinen. Preprint (2023).

Coalescence and total-variation distance of semi-infinite inverse-gamma polymers with Firas Rassoul-Agha and Timo Seppäläinen. Preprint (2023).

On the number and size of holes in the growing ball of first-passage percolation with Michael Damron, Julian Gold, and Wai-Kit Lam. Accepted by Trans. AMS (2022).

Tail bounds for the averaged empirical distribution on a geodesic in first-passage percolation with Chris Janjigian and Wai-Kit Lam. Preprint (2020)

Coalescence estimates for the corner growth model with exponential weights with Timo Seppäläinen. Electron. J. Probab. 25: 1-31 (2020). DOI: 10.1214/20-EJP489