Research
Research
My research interests are mainly focused on Analytic Number Theory.
I am also interested in the connections between number theory and combinatorial and probabilistic theory.
Hopefully, it's coming soon...
I am currently working with Dr. Dustin Cartwright on combinatorics and algebraic geometry topics, we focused on matroid theory(started from Spring 2024-Spring 2025).
I participated in the Knox Math Lab as a Team Leader for the research project Symmetry and Geometric Variational Problems, led by Dr. Letian Chen(January 2025 - May 2025).
In this role, I guided a team in exploring the intricate connections between symmetry, geometry, and variational methods. The project allowed me to develop my leadership skills while contributing to groundbreaking research in mathematics.
Abstract: The minimal surface equation defines a PDE, but under suitable symmetry assumptions, it can be reduced to a simpler ODE. This project explores problems arising from minimal surface theory and mean curvature flow, focusing on the existence and (non)uniqueness of symmetric solutions through ODEs.