Alejo García-Sassi Alejo García-Sassi

Alejo García-Sassi

Dynamical Systems • Geometry & Topology • Ergodic Theory

Research

Publications & Preprints

Preprint Fully chaotic conservative models for some torus homeomorphisms With Fábio Armando Tal. arXiv: 2404.02341.
Preprint Geodesic tracking and the shape of ergodic rotation sets With Pablo Lessa and Pierre-Antoine Guihéneuf. arXiv: 2312.06249.
Published Fixed points for branched covering maps of the plane Fundamenta Mathematicae, 254 (2021), 1-14.

Ongoing Projects

Explicit uniform bounds for elliptic islands With Alejandro Passeggi and Fábio Armando Tal -- Work in progress.
Fully chaotic models for higher genus surfaces With Fábio Armando Tal -- Work in progress.
Maximal entropy measures for fully rotational surface diffeomorphisms Work in progress.
Factor relations for surface homeomorphisms Work in progress.
Topological techniques for annular chaos Working group with Alejandro Passeggi, Favio Pirán, and Fábio Armando Tal.

Ongoing Contributors -- Discussions and Feedback

Maximal entropy measures for fully rotational surface diffeomorphisms Sylvain Crovisier, André de Carvalho, Yuri Lima, Fábio Armando Tal.
Factor relations for surface homeomorphisms André de Carvalho.

Selected Talks

International Conference on Advanced Topics in Dynamical Systems Chern Institute of Mathematics -- Tianjin, China.
Surface dynamics and Fine Curve Graphs Workshop -- Scheduled, 2026. Sorbonne Université -- Paris, France.
Escola Brasileira de Sistemas Dinâmicos -- In Memoriam Jacob Palis Instituto de Matemática Pura e Aplicada -- Rio de Janeiro, Brazil. [Video]
Séminaire de Dynamique Sauvage Sorbonne Université -- Paris, France.
Surfaces in Banyuls Observatoire Océanologique de Banyuls -- Banyuls-sur-mer, France.
Seminario de Sistemas Dinámicos Universidad de Santiago de Chile -- Santiago, Chile.
Coloquio Uruguayo de Matemática Universidad de la República -- Montevideo, Uruguay.

Fellowships & Grants

FAPESP Postdoc Fellowship ~61K USD (2025-Current).
PEDECIBA Postdoc Fellowship ~23K USD (2024-2025).
CAP PhD Fellowship ~59K USD (2020-2024).
CAP MSc Fellowship ~19K USD (2018-2020).

Professional Service

Referee for Proceedings of the American Mathematical Society
Co-organizer of the Seminar on Dynamical Systems and Geometry -- USP