I work in probability theory and am expanding into AI.

Education

• Ph.D. in Mathematics, California Institute of Technology, 2025
• B.S. in Mathematics, Peking University, 2019

Research

• Multiple SLE systems
  • [Survey on multiple SLE systems and their deterministic limits], in preparation.
  • Irregular traces of multiple SLE(0) systems with multiple marked points, 2025.
  • Asymptotic of Coulomb gas integrals, Temperley-Lieb type algebras and pure partition functions, 2025.
  • Multiple chordal SLE($\kappa$) and quantum Calegero-Moser system, 2025.
  • Multiple chordal SLE(0) and classical Calegero-Moser system, 2025
  • Multiple radial SLE($\kappa$) and quantum Calegero-Sutherland system, joint with N. Makarov, 2024.
  • Multiple radial SLE(0) and classical Calegero-Sutherland system, joint with N. Makarov, 2024.
• Large Language Model *[LLM reasoning on mathematical problem set], in preparation,
• Statistics

Thesis

On multiple SLE systems and their deterministic limits, Ph. D. thesis, California Institute of Technology, 2025.

Invited Talks

• Stochastics Seminar, University of Utah, Feb 28 2025
• Probability Seminar, University of Chicago, Jan 31 2025
• Los Angeles Probability Forum, Caltech, May 2 2024
• Analysis Seminar, Caltech, Apr 10 2024
• Graduate student Seminar, Caltech, Jan 28 2022

Teaching

• California Institute of Technology, Teaching Assistant
  • Ma 1c Calculus and Linear Algebra, Spring 2025
  • ACM 216: Markov Chains, Discrete Stochastic Processes and Applications, Winter 2024
  • Ma 121a Combinatorial Analysis, Fall 2024
  • Ma 140a Probability, Winter 2023
  • Ma 102 Differential Equations, Fall 2023
  • Ma 108c Classical Analysis (Complex Analysis), Spring 2023
  • Ma 110b Analysis (Complex Analysis), Winter 2022
  • Ma 121a Combinatorial Analysis, Fall 2022
  • Ma 103 Intro to Probability and Statistics, Winter 2021
  • Ma 102 Differential Equations, Fall 2021
  • Ma 102 Differential Equations, Fall 2020
  • Ma 110a Analysis (Real Analysis), Fall 2020
  • Ma 1c Calculus and Linear Algebra, Spring 2020
  • Ma 1b Calculus and Linear Algebra, Winter 2019
  • Ma 1a Calculus and Linear Algebra, Fall 2019