Research

Papers

Enumerating binary words restricted by subsequence frequency, 2025. In preparation.
Upper Bounds for the Lowest First Zero in Families of Cuspidal Newforms (with P. Arora, B. Fang, R. Marquez, S.J. Miller, B. Prapashtica, V. Sharan, D. Son, X. Tang, and S. Waheed). Journal of Number Theory. 277 (2025), 262-289.
The Limiting Spectral Distribution of Various Matrix Ensembles Under the Anticommutator Operation (with B. Fang, R. Marquez, S.J. Miller, B. Prapashtica, V. Sharan, D. Son, S. Waheed, J. Wang), 2025. Under minor revision at Random Matrices: Theory and Applications.
Asymptotic expansions for the reciprocal Hardy-Littlewood logarithmic integrals, 2024. Submitted.
Gromov-Hausdorff distances between quotient metric spaces (with H. Adams, A. Albornoz, J. Du, L.J. van Rensburg, A. Leon, S. Narayanan, C. Panish, C. Rugenstein, M. Wall), 2024. In progress.
An alternative proof of the Puiseux representation of the exponential integral, 2024. In preparation.
A closed formula for linear recurrences with constant coefficients (with B. Fang, P. Gilman, R. Marquez, S.J. Miller, B. Prapashtica, D. Son, S. Waheed, J. Wang), 2025. Revision under review at The Fibonacci Quarterly.
Variants of Conway Checkers and k-nacci Jumping (with J. Cooper, K. Jaber, R. Marquez, S.J. Miller), 2025. The Fibonacci Quarterly.
On the convergence of Newton series and the asymptotics of finite differences, 2024. In preparation.

2025 Duluth REU, advised by Colin Defant and Joseph Gallian
2024 SMALL REU (Number Theory and Probability Group), advised by Steven J. Miller
UF Topology Research Group (2023-2024), advised by Henry Adams

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