Xiao Shen

Department of Mathematics

University of Utah

Email: xshen@math.utah.edu

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

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 2020 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:

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. Preprint (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