Tom Alberts

Tom Alberts

Associate Professor of Mathematics

University of Utah

Biography

I am currently an associate professor in the Department of Mathematics at the University of Utah. My main focus of research is in probability theory, and within that I study two-dimensional conformally invariant systems. The basic model of these are the Schramm-Loewner Evolution and its variants. I also have interests in statistical mechanics, random walks in random environments, directed polymer models, last passage percolation, and random matrix theory.

I am on leave for the 2021-22 academic year.

Interests
  • Probability Theory
  • Stochastic Analysis
  • 2D Conformally Invariant Systems
  • Directed Polymer Models
  • Last Passage Percolation
  • Random Matrices
Education
  • PhD in Mathematics, 2008

    Courant Institute of Mathematical Sciences at New York University

  • BSc in Mathematics, 2002

    University of Alberta

Contact Information

  • lastname (at) math (dot) utah (dot) edu
  • 801-585-1643
  • 155 S 1400 E Room 233, Salt Lake City, UT 84112-0090
  • LCB 114

Recent Publications

On the passage time geometry of the last passage percolation problem.
ALEA Lat. Am. J. Probab. Math. Stat., 18, 211–247. (2021).
Pole dynamics and an integral of motion for multiple SLE(0).
arXiv:2011.05714 [math.CV] . (2020).
Busemann functions and semi-infinite O'Connell-Yor polymers.
Bernoulli, 26, 1927–1955. (2020).
Dimension Results for the Spectral Measure of the Circular Beta Ensembles.
To appear in Ann. Appl. Prob., arXiv:1912.07788 [math.PR] . (2020).
Nested critical points for a directed polymer on a disordered diamond lattice.
J. Theoret. Probab., 32, 64–89. (2019).

Recent & Upcoming Talks

Loewner Dynamics for Real Rational Functions and the Multiple SLE(0) Process
A Fixed Point Formula of a Random Dynamical System
Uniform Spanning Trees and the Burton-Pemantle Theorem
Random Matrix Theory for Composites on Graphs
Loewner Dynamics for the Multiple SLE(0) Process