In progress:
APAW Project group: Level raising congruences involving Eisenstein series, joint work with C. Hsu, A. Pozzi, O. Rivero, V. Vatsal, AND C. Wang-Erickson
Past Work:
Euclid and The Mathematician’s Process, September 16, 2025. Arts of Liberty Bulletin
PhD Thesis: Counting Counting Isogeny Classes of Drinfeld Modules over Finite Fields via Frobenius Distributions (CSU, Spring 2024, Advisor: Jeff Achter)
Expository Master's Project: Classification of Drinfeld Modules by Isogeny (CSU Fall 2020)
Undergraduate Research: Geometric Realization of Nested Torus Links (CSUSB REU 2017)
Favorite Class Projects
Eigenfunctions of the Hyperbolic Laplace Operator and Applications to Number Theory (Math 540 Partial Differential Equations)
Modular Polynomials and Isogeny Graphs (Math 605c CSU Elliptic Curves)
Local Zeta Functions: an Introduction to the Weil Conjectures (Math 605a CSU Algebraic Number Theory)
Multicolor Ramsey Numbers and 3-Colorings of K_16 (Math 501 CSU Combinatorics)
Elliptic Functions and Wallpaper Patterns (Math 732 UNCO Complex Analysis)
The Wallpaper Groups: Notions of Symmetry and Topological Implications (Math 540 UNCO Topology)