From preimage trees to modular dynamics — CIMAT Mathematics showcase 2026
Talk at the CIMAT-Mérida Mathematics showcase, 27 February 2026, 9:30–10:30. Arithmetic dynamics via preimage trees, Galois action, and modular reduction.
A Dynamical Néron–Ogg–Shafarevich Criterion via Orbital Arboreal Representations
A dynamical Néron–Ogg–Shafarevich criterion for good reduction of rational maps over local fields, via orbital arboreal representations. Submitted to Research in Number Theory.
Dynamic Topoi and Temporal Sites: A Categorical Framework for Arithmetic Dynamics — LVIII SMM 2025
Talk at the LVIII National Congress of the Mexican Mathematical Society (2025), Number Theory area.