Since September 2024 I am a postdoc researcher at the Centro de Modelamiento matematico in Santiago de Chile, with Rodolfo Gutiérrez-Romo. Prior to that I did my PhD at the Université Grenoble alpes under the supervision of Erwan Lanneau and Daniel Massart, on some geometric problems around translation surfaces.

I am interested in dynamics and geometry of surfaces. I specifically study translation surfaces and their Veech groups. My other mathematical interests include interval exchange transformations, continued fractions and Anosov dynamics. Here is my CV, and a research statement.

Preprints

1. Algebraic intersections on Bouw-Möller surfaces, and more general convex polygons, with Irene Pasquinelli, 2024. See on arxiv.

2. Algebraic intersection, lengths and Veech surfaces, 2023. See on arxiv.

Published and accepted papers

1. Lower bound for KVol on the minimal stratum of translation surfaces. Geometria Dedicata 218, 88 (2024). See on arxiv or see on Springer Link.

2. Algebraic intersection in regular polygons, with Erwan Lanneau and Daniel Massart, 2022. To appear in Annales Henri Lebesgue . See on arxiv.

3. There are no primitive Teichmüller curves in Prym(2,2), with Sam Freedman, 2022. Comptes rendus de l’académie des sciences. Volume 362 (2024), pp. 167-170. See on arxiv or see on the Comptes Rendus webpage.

4. Central points of the double heptagon translation surface are not connection points. Bulletin de la SMF, Vol.150(2) (2022), pp. 459-472. See on arxiv or see on the SMF webpage.

PhD defense

I started my PhD on September 2021 under the supervision of Erwan Lanneau and Daniel Massart and defended in December 2023 at the Institut Fourier, Université Grenoble Alpes. The slides are available here as well as the manuscript. You can also find here a small explication of my work which was meant for non-matematicians attending my PhD defense.

A fundamental domain for the SL(2,R)-orbit of the golden L in the moduli space of translation surfaces.