Research Experience

Combinatorial Nature of Q,T Catalan Polynomials

Feb 2025 - Present

Exploring combinatorial proofs of Q,T Catalan numbers while also exploring its algebraic structure under the guidance of Professor Kyungyong Lee.

Stochastic Epidemic Modeling

May 2025 - July 2025

As part of a Summer 2025 REU research team, we (5 members)analyzed "finite size effects" in epidemic modeling by co-developing an agent-based stochastic model. We studied the stochastic behavior of disease spread, compared it with its deterministic ODE counterpart, and conducted case studies based on COVID-19.

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

Game of Cycles on Maximal Plane Graphs

2024

Research on combinatorial game theory under guidance of Professor Malgorzata Marciniak, focusing on the analysis of Game of Cycles played on maximal plane graphs. This work was presented at CUNY Undergraduate Research Day 2024 and MathFest 2024.

PolyMath Jr Project

2023

Worked under Dr. Victor H. Moll on analyzing and documenting integrals involving Bessel functions for the Gradshteyn and Ryzhik handbook. This research was presented at JMM 2024 and published in Scientia Series A: Mathematical Sciences.

Continued Fractions and a-Fibonacci Numbers

2023

Worked with Professor Cheng-Han Pan on investigating the relationships between continued fractions, a-Fibonacci numbers, and the middle b-noise, resulting in a publication in Mathematics Exchange.