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.
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
Conformal field theory of Gaussian free fields in a multiply connected domain.
arXiv:2407.08220 [math-ph] . (2024).
arXiv:2407.08220 [math-ph] . (2024).
Dimension Results for the Spectral Measure of the Circular Beta Ensembles.
Annals of Applied Probability, 32, 4642–4680. (2022).
Annals of Applied Probability, 32, 4642–4680. (2022).
The Green's function of the parabolic Anderson model and the continuum directed polymer.
arXiv:2208.11255 [math.PR] . (2022).
arXiv:2208.11255 [math.PR] . (2022).
On the passage time geometry of the last passage percolation problem.
ALEA Lat. Am. J. Probab. Math. Stat., 18, 211–247. (2021).
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).
arXiv:2011.05714 [math.CV] . (2020).