Research Experience

LLM Distillation

March 2026 - Present

Along with a graduate student, working on LLM distillation in network-based epidemic simulation.

Mentors: Professor Chuntian Wang and Professor Jia Zhao

Rectifiability

Feb 2026 - Present

Along with a postdoctoral researcher, studying rectifiability characterization in the parabolic setting and connections to Riesz transforms and tangent measures.

Mentor: Professor Simon Bortz

Combinatorial Perspective of \(q,t\)-Catalan Symmetry

Feb 2025 - Present

Working on a subset of the combinatorial proof of the \(q,t\)-Catalan symmetry.

Mentor: Professor Kyungyong Lee

Multi-Agent AI for Mathematical Reasoning

June 2026 - Aug 2026

RIPS at UCLA: Along with three fellow research interns, developed and evaluated multi-agent AI systems for mathematical reasoning and proof-oriented research workflows. Applying the system to a research problem under Professor Kyungyong Lee's guidance and also doing my independent side quest.

Academic Mentor: Mehmet Yigit Turali

Industry Sponsor: OpenAI

Industry Mentors: Giambattista Parascandolo (GB) and Professor Gregory Valiant

An Exploration of Finite-Size Effects in the Dynamics of Epidemic Compartmental Modeling

May 2025 - Dec 2025

Along with four fellow student researchers, worked on developing and analyzing the dynamics of an epidemic compartment model (SIHRS), incorporating vital dynamics through independent Poisson clocks and a martingale formulation. Used real-world county data from COVID-19 to show the model's usefulness and also worked on the global stability analysis of the model.

Mentors: Professor Chuntian Wang, Professor Yuanzhen Shao, Professor Yuanyuan Song

Game of Cycles on Maximal Plane Graphs

Feb 2024 - June 2024

Defined "IO Maximal Plane Graphs" and analyzed invariant properties to determine the game outcome. Established that the winning strategy is determined by the parity of the graph's vertices.

Mentor: Professor Malgorzata Marciniak

Method of Brackets and Bessel Function Integrals

June 2023 - Aug 2023

Applied the "Method of Brackets" to provide rigorous proofs for entries involving Bessel functions of the first and second kind from the Gradshteyn and Ryzhik tables.

Mentor: Professor Victor H. Moll

Continued Fractions, \(a\)-Fibonacci Numbers, and Middle \(b\)-Noise

Mar 2023 - Aug 2023

Generalized the continued fractions [1,..., 1, 3, 1,..., 1] to [a,..., a, b, a,..., a] using \(a\)-Fibonacci sequences. Showed that the \(a\)-th metallic ratio limit is invariant under the middle noise term \(b\).

Mentor: Professor Cheng-Han Pan