My main research interest lies in Analytic Number Theory. I currently specialize in automorphic forms and L-functions and work on equidistribution problems such as Duke's Theorem on the equidistribution of Heegner points and closed geodesics.
I am also interested in Cryptography and its intersection with Number Theory. I currently have a few ongoing projects in Isogeny-based Cryptography, where I can apply analytic number theoretic techniques into cryptographic questions.
R. Bowden, R. Hernandez, W. Mahaney, and C. Martindale, “Meet-in-the-midL: The Complexity of Graph Walking on Compositions of Isogeny Graphs,” Submitted for publication, 2026.
June - July 2026 Research Visit with Chloe Martindale and the Cryptography group at the University of Bristol
Submitted Project: "Meet-in-the-midL: The Complexity of Graph Walking on Compositions of Isogeny Graphs" joint with Ross Bowden, William Mahaney, Chloe Martindale.
March 2026 Project Group at the Arizona Winter School 2026: Computational Aspects of Cryptography
Project Leaders: Sarah Arpin and Chloe Martindale.
Ongoing Project: "Computing 2D Cyclic Isogenies using Kani’s Reducibility Criterion" joint with Blair Butler, Luciano Maino, Nicolas Swanson, Suo-Jun Tan
June 2026 The BRISONS (BRitish ISOgeNy dayS)
"Computing 2D Cyclic Isogenies: An Approach using Kani’s Reducibility Criterion"
University of Bristol Cryptography Seminar
"Equidistribution in Cryptography, Graph Theory and Number Theory"
Spring 2027 UVA Math Graduate Students Seminar
"Beyond the Crypto-verse: Isogeny-Based Cryptography"
October 2026 PAlmetto Number Theory Series (PANTS) XLI
"Meet-in-the-midL: The Complexity of Graph Walking on Compositions of Isogeny Graphs"
"Computing 2D Cyclic Isogenies: An Approach using Kani’s Reducibility Criterion"
October 2025 UVA Math Graduate Students Seminar
"Across the Crypto-verse: Elliptic-Curve Cryptography"
November 2024 UVA Math Graduate Students Seminar
"Into the Crypto-verse: An Introduction to Cryptology"
June 2024 SLMath School: Student Presentations
"Quadratic Forms and the Class Group"
November 2023 UVA Math Graduate Students Seminar
"Triangles! Exploring the nine-point circle and Euler line"
September 2022 UVA Math Graduate Students Seminar
"Lightning Talk: The Euler Line of a Triangle"
April 2019 CWRU Hacker Society Meeting
"Some Math using MATLAB"
CWRU Math Club Meeting
"Some Math using MATLAB"
March 2018 CWRU Math Club Meeting
"Transcendental Numbers"
April 2016 CWRU Math Club Meeting
"Solution to Problem 1 of the International Mathematical Olympiad 2012"