I am currently at the University of Pennsylvania as an Assistant Professor of Mathematics (formal start date July 2026).
Before coming to UPenn, I was an NSF Postdoctoral Fellow / Courant Instructor at the Courant Institute with Scott Armstrong. I spent the first year of my NSF postdoc at Cornell University with Lionel Levine. I received my PhD at the University of Chicago under the supervision of Charles K. Smart in June 2022. Previously, I was an undergraduate student at Stanford University.
My research is in probability theory, with a focus on applying ideas from elliptic PDE to problems in statistical physics. I am interested in homogenization, which describes the large-scale behavior of random/periodic systems. I also study fluctuation-driven phenomena that emerge at small scales. Topics I have worked on include diffusions in random environments, Liouville quantum gravity, discrete unique continuation, and the Abelian sandpile.
I co-organize the Penn/Temple probability seminar.
Publications and Preprints
Talks
- Finger Lakes Probability Seminar, April 17, 2026
- University of Maryland Probability Seminar, February 25, 2026
- Topological Phase Transitions and Localization of Random Fields , December 7-12, 2025
- CUNY Probability Seminar, October 28, 2025
- University of Wisconsin, PDE Geometric Analysis Seminar, October 27, 2025
- Columbia University, Probability Seminar, October 24, 2025
- ETH Zurich Analysis Seminar, March 18, 2025
- University of Toronto Mathematics Colloquium, January 15, 2025
- University of Southern California Mathematics Colloquium, January 13, 2025
- UCLA Mathematics Colloquium, January 8, 2025
- Vanderbilt Mathematics Colloquium, January 6, 2025
- University of South Carolina Mathematics Colloquium, December 10, 2024
- Duke Probability Seminar, December 5, 2024
- University of Pennsylvania Probability and Combinatorics Seminar, December 3, 2024
- University of Chicago Mathematics Colloquium, November 18, 2024
- University of Chicago Probability Seminar, October 4, 2024
- Yale Analysis Seminar, September 26, 2024
- IMSI, Two-Dimensional Random Geometry, July 8-12, 2024
- Aalto University, Probabilistic Field Theories, June 17-19, 2024
- MIT Analysis Seminar, April 16, 2024
- NYU Probability Seminar, April 12, 2024
- McGill University Probability Seminar, March 28, 2024
- The Fields Institute, KPZ meets KPZ, March 4-8, 2024
- Los Angeles Probability Forum, February 29, 2024
- University of Hagen, Analysis Seminar, November 29, 2023
- NYU Analysis Seminar, November 2, 2023
- AMS 2023 Fall Eastern Sectional Meeting, Special Session, September 9, 2023
- CIRM, Percolation and interactions, August 3, 2023
- 43rd Conference on Stochastic Processes and their Applications, Invited Session, July 26, 2023
- Percolation Today, April 4, 2023
- University of British Columbia Probability Seminar, March 1, 2023
- University of Victoria Dynamics and Probability Seminar, February 28, 2023
- Institute for Advanced Study Probability Seminar, November 2, 2022
- Penn/Temple Probability Seminar, November 1, 2022
- Cornell Probability Seminar, October 24, 2022
- Oberwolfach, Universality: Random Matrices, Random Geometry and SPDEs, June 4, 2022
- Yale Analysis Seminar, March 3, 2022
- University of Utah Stochastics Seminar, February 25, 2022
- LU-NU-UMN Joint Probability Seminar, October 27, 2021
- Bernoulli-IMS, Organized Session, July 22, 2021
- Stanford Probability Seminar, May 10, 2021
- UC Berkeley Probability Seminar, February 10, 2021
- Cornell Math 7710 Guest Lecture, October 27, 2020
- Cornell Probability Seminar, September 23, 2019
- CCNY Mathematics Colloquium, September 19, 2019
Coding
Teaching
University of Pennsylvania
- I will teach Math 6490 (the second semester of graduate probability) in Spring 2026.
New York University
- In Spring 2025, I taught MATH-UA 262 Ordinary Diff Equations.
- In Fall 2024, I taught MATH-UA 325 Analysis.
- In Fall 2023 and Spring 2024, I taught MATH-UA 120 Discrete Mathematics.
University of Chicago
- In Spring 2022 and 2019, I was a teaching assistant for STAT 383 Measure-Theoretic Probability 2.
- In Winter 2022, I was a teaching assistant for STAT 33910 Financial Statistics.
- In Fall 2021, I was a teaching assistant for STAT 312 Stochastic Processes.
- In Winter 2021, I was a teaching assistant for STAT 33910 Financial Statistics.
- In Spring 2020, I was a teaching assistant for STAT 234 Statistical Models and Methods.
- In Fall 2020, I was a teaching assistant for STAT 25150 Introduction to Mathematical Probability.
- In Fall 2017 and 2018, I was a teaching assistant for STAT 312 Stochastic Processes.
- In Winter and Spring 2017, I was a teaching assistant for STAT 220 Statistical Methods and Applications.
Chinese University of Hong Kong Shenzhen
- In Summer 2016, I was a lecturer for Introduction to Matrix Methods.
Stanford
- In Fall 2014 and 2015, I was a teaching assistant for Introduction to Matrix Methods.
- In Winter 2014, I was a teaching assistant for Convex Optimization.