I am a mathematics student at the University of Alabama in the Accelerated Master's Program, completing a B.S. and an M.A. in Mathematics (expected December 2026). My research interests lie broadly in geometric measure theory, algebraic combinatorics, and mathematical modeling. I am particularly drawn to problems that connect seemingly different areas of mathematics.
I currently work with Professor Kyungyong Lee on the combinatorics of \(q,t\)-Catalan polynomials, with Professor Simon Bortz on rectifiability, and with Professor Chuntian Wang and Professor Jia Zhao on LLM distillation for epidemic models.
I also enjoy astronomy and soccer.
Publications & Preprints
- (first author) Gurung A., Wagle S., Carr A., McCann C., Kodatt K., Song Y., Shao Y. and Wang C. “An exploration of finite-size effects in the dynamics of epidemic compartmental modelling.” European Journal of Applied Mathematics, to appear, 2026. [DOI] [Code]
- A. Gurung and C.-H. Pan. “Continued Fractions, a-Fibonacci numbers, and the middle b-noise,” Mathematics Exchange, 18(1), 77–87, 2024. [DOI]
- (with the Polymath Jr. Group). “The integrals in Gradshteyn and Ryzhik. Part 34: Bessel functions,” Scientia Series A: Mathematical Sciences, 34, 109–129, 2024. [DOI]
Research Experience
See the full list of current and past research experience, with dates and mentors.
Conferences & Workshops
- March 2026: AMS Southeastern Sectional Meeting, Presenter
- May 2024: CUNY Undergraduate Research Day 2024, Presenter
- Aug 2024: MathFest 2024, Presenter
- Sept-Nov 2024: Preliminary Arizona Winter School 2024: Symmetries of Root Systems, Attendee
Projects
Some of my projects can be found here.
Notes
Some of my expository notes can be found here.