Assistant professor at the Department of Mathematics and Computer Science (DMCC) of the Universidad de Santiago de Chile.
Research
Research interests
Translation surfaces
Billiard dynamics
Teichmüller dynamics and geometry
Preprints
📄 Permutations of periodic points of Weierstrass Prym eigenforms
with Rodolfo Gutiérrez-Romo
📄 Diffusion rate in non generic directions in the wind-tree model
with Sylvain Crovisier, Pascal Hubert and Erwan Lanneau
📄 The Convergence Rates of Blockchain Mining Games: A Markovian Approach
with Alejandro Jofré, David Salas, Victor Verdugo and José Verschae
📄 Cone types and asymptotic invariants for the random walk on the modular group
Journal
📄 Permutations of periodic points of Veech surfaces in H(2)
with Rodolfo Gutiérrez-Romo
Journal of Modern Dynamics 20 (2024), 379-407
📄 Square-tiled tori
Discrete and Continuous Dynamical Systems 43 (2023), 1926-1941
📄 Quantitative error term in the counting problem of Veech wind-tree models
Annali della Scuola normale superiore di Pisa - Classe di scienze XXI (2020), 495-534
📄 A non-varying phenomenon with an application to the wind-tree model
International Mathematics Research Notices 18 (2020), 5642-5660
📄 Counting problem on wind-tree models
Geometry & Topology 22 (2018), 1483-1536
Thesis
📕 Comptage d’orbites périodiques dans le modèle de windtree
Advisor: Pascal Hubert
Defended on June 22, 2017, at the Université d'Aix-Marseille