As of Fall 2026, I will be funded by a Ross-Lynn fellowship at Purdue University. My research interests are in the field of analytic number theory, mostly involving subconvexity of exponential sums. My master's thesis was in the area of tropical geometry.
(2026) Subconvexity of short k-free exponential sums in F_q[t].
(2026) Subconvexity of short k-free exponential sums. (arxiv)
Algorithms for Chip-Firing on Weighted Graphs, Central Michigan University Master's Thesis. (arxiv)
[Summer 2026]* Duke Number Theory Series. "A Tauberian Theorem via a Dominating Series, and Counting Abelian Extensions."
[Spring 2026] Purdue Analytic Number Theory and Harmonic Analysis Seminar. "The k-Free Exponential Sum and Subconvexity."
[Spring 2026]* Purdue Graduate Student Analysis Seminar. "Weyl's Equidistribution Criterion and Discrepancy."
[Fall 2025] UC Davis Algebraic Geometry and Analytic Number Theory Seminar. "On the Exponential Sum over r-Free Polynomials."
[Summer 2025] 33èmes Journées Arithmétiques. "Moments of Exponential Sums over r-Free Polynomials."
[Summer 2025] INTEGERS Conference 2025. "Lp-Means of Exponential Sums over r-Frees in Fq[t]."
[Spring 2025] Purdue Graduate Student Analysis Seminar. "On the Moments of Exponential Sums over r-Free Polynomials."
[Spring 2025] Purdue Analytic Number Theory and Harmonic Analysis Seminar. "On the Moments of Exponential Sums over r-Free Polynomials."
[Fall 2024]* Purdue Student Colloquium. "A Finite Collection of Proofs of the Infinitude of Primes."
[Spring 2023] Purdue Combinatorics and Graph Theory Seminar. "The Dollar Game on Weighted Graphs."
[Fall 2023]* Purdue Student Colloquium. "Interactive Proofs and the Sumcheck Protocol."
[Spring 2023] Purdue Student Colloquium. "Algorithms for Chip-Firing on Weighted Graphs."
* - Expository talks