Rodolfo Gutiérrez-Romo

About me

I'm a Ph.D. student at Université Paris-Diderot 7. My advisors are Anton Zorich and Carlos Matheus. I'm originally from Santiago, where I completed a Master's degree at Universidad de Chile under the direction of Alejandro Maass.

Research interests

I'm interested in geometry and dynamical systems. Currently, I work on Teichmüller dynamics, flat surfaces interval exchange transformations. My Ph.D. thesis is focused on gaining a deeper understanding of the combinatorial models for the Teichmüller flow on flat surfaces.

Preprints

Simplicity of the Lyapunov spectra of certain quadratic differentials (2017).
Abstract. Preprint. BibLaTeX.

Classification of Rauzy–Veech groups: proof of the Zorich conjecture (2017).
Abstract. Preprint. BibLaTeX.

Published articles

Characterization of minimal sequences associated with self-similar interval exchange maps (2017).
With Milton Cobo and Alejandro Maass.
Nonlinearity.
Abstract. Preprint. BibLaTeX.

Wandering intervals in affine extensions of self-similar interval exchange maps: the cubic Arnoux-Yoccoz map (2017).
With Milton Cobo and Alejandro Maass.
Ergodic Theory and Dynamical Systems. 1–34.
Abstract. Journal. Preprint. BibLaTeX.

Talks and poster sessions

Rauzy–Veech groups of flat surfaces (November, 2017).
Séminaire Teich : espaces de Teichmüller.
Institut de Mathématiques de Marseille.
Aix-Marseille Université.

Classification of Rauzy–Veech groups (October, 2017).
Mini-recontre surfaces de translation.
Institut de Mathématiques de Toulouse.
Université Paul Sabatier-Toulouse 3.

Classification of Rauzy–Veech groups (September, 2017).
Séminaire « Plat ».
Institut Henri Poincaré.

Clasificación de los grupos de Rauzy–Veech (September, 2017).
Seminario Dinámica Porteña.
Instituto de Matemáticas.
Pontificia Universidad Católica de Valparaíso.

Clasificación de los grupos de Rauzy–Veech (August, 2017).
Seminario de Sistemas Dinámicos.
Centro de Modelamiento Matemático.
Universidad de Chile.

Zariski-density of some Rauzy–Veech groups (May, 2017).
Séminaire de Dynamique, Théorie Ergodique et Probabilités.
Laboratoire Amiénois de Mathématique Fondamentale et Appliquée (LAMFA).
Université de Picardie Jules Verne.

Wandering intervals in affine interval exchange maps: nonreal eigenvalues (October, 2016).
Doctoral school “Applications of Ergodic Theory in Number Theory”.
Centre International de Rencontres Mathématiques.
Chaire Jean-Morlet.
Download poster.

More about me

I'm fluent in Spanish and English. Some people say I speak French.

I contribute to Etilmercurio, a math and science popularization website in Spanish.

My favorite color is purple. I like jazz and music from the (Post-)Romantic era. I'm a fan of retro websites and videogames.

I consider myself to be a feminist, an antispeciest, an antinatalist and an anarchist.