Algebraic number theory and diophantine geometry:
My research focuses on the arithmetic of Drinfeld modules. In particular, I am interested in Drinfeld modular varieties, Drinfeld modular forms, and automorphic forms of Drinfeld type. Recently, I have been working on equidistribution problems over global function fields and exploring their potential applications.
I am also deeply interested in the study of elliptic curves and rational points, especially from an arithmetic and geometric perspective.
Asymptotic distribution of CM points on the reduction of the Drinfeld modular curve. (with Patricio Pérez-Piña) arXiv:2604.05069
The Lyapunov spectrum for Schneider map on pZ_p. (with Nicolás Arévalo-Hurtado) Submited. arXiv:2601.05915
Counting algebraic points of bounded degree on curves. Submitted. arXiv:2505.04219
Explicit Zsigmondy bounds for families of Drinfeld modules of rank 2. Submitted. arXiv:2505.04213
Equidistribution of Hecke orbits on the Picard group of definite Shimura curves. (with Patricio Pérez-Piña) J. Number Theory 278 (2026), 715–725.
Fixed points of endomorphisms of complex tori (with Robert Auffarth) J. Algebra 507 (2018), 428-438