Large Deviation Principles for Area of Quantum Disks with Unit Left Boundary Length. Joint work with Zhenfeng Tu, https://arxiv.org/abs/2610.02531.
The Semiclassical Limit of unit-area of quantum disk. Joint work with Zhenfeng Tu, https://arxiv.org/abs/2610.02436.
Phase II Complex Gaussian Multiplicative Chaos. https://drive.google.com/file/d/1Y-lhMeQ1ylMMATtLDJCfiWBvl18GWq5X/view?usp=sharing. See also https://hal.science/hal-05785143.Â
For this work, I am still updating the draft, but I need to post this as quickly as possible due to the impact of AI companies. Last Updated Oct 7 2026.
Quantum wedges and large deviations for SLE with two force points. Joint work with Zhenfeng Tu, https://arxiv.org/abs/2610.34630.
The positive-curvature semiclassical limit. Joint work with Zhenfeng Tu, https://hal.science/hal-05838591.
I have also used AI to solve several open problems. In my view, these problems contribute negligibly to the field of mathematics. The drafts contain a substantial proportion written by AI, and I will edit them if time permits. I will not publish them (for now), but I claim the copyright.
The Splitting Conjecture holds to order up to the 4^th moment. https://drive.google.com/file/d/1fVRgzw2QpvYqQouZTG4Q3YRtViuT3ZLS/view?usp=sharing.
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