Research
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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 participated in the Directed Reading Program as a Graduate Mentor for the project p-adic numbers and some applications, led by Dr. Vasileios Chousionis(September 2025 - December 2025).
In this role, I guided a team (Srijan Raghunath (senior math major)) in exploring the intricate applications for p-adic numbers.
Abstract: In-progress
Slider & Final Report In-progress
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(Michael Rice (junior math major) and Emma Upton(freshman math major)) 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.
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