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.
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
Equidistribution of Hecke orbits on the Picard group of definite Shimura curves. (with Patricio Pérez-Piña) J. Number Theory 278 (2026), 715–725.
Explicit Zsigmondy bounds for families of Drinfeld modules of rank 2. Submitted. arXiv:2505.04213
Fixed points of endomorphisms of complex tori (with Robert Auffarth) J. Algebra 507 (2018), 428-438