Number Theory:
Mesoscopic Multilinear Statistics of Zeros of the Riemann Zeta Function, in progress
Random Geometry:
Semiclassical Limit of Quantum Disks, jointly with Zhenfeng Tu, to appear
A Central Limit Theorem for Area of Quantum Disk as $\gamma \to 0^+$, jointly with Zhenfeng Tu, to appear
Semiclassical Limit of Quantum Sphere, jointly with Zhenfeng Tu, in progress
Here are some projects I did in my undergrad. Some of them are on arXiv.org, and some are drafts (I wish I had time to edit them one day), available upon request.
Master's Thesis: Distribution of the Values of the Riemann Zeta Function
Variation of Stochastic Processes Through Schauder Expansions, available upon request
Hitting probability for Reflected Brownian Motion at Small Target, on arxiv
Probabilistic Paths to Quantum Field Theory (poster session), Simons Foundation, New York. Apr 2025
Student Probability Seminar, Courant Institute, New York University. Feb 2025
Stochastic Analysis Seminar, Mathematical Institute, University of Oxford. Nov 2024