*Graduate Student *

I am a second year graduate student at the University of California, Berkeley. I am interested in geometric group theory and dynamical systems. My advisor is Ian Agol. Before coming to Berkeley, I received my bachelor's and master's degree from Pontificia Universidad Catolica de Chile under the supervision of Jairo Bochi. Here is my CV .

Department of Mathematics

Evans Hall, 848

University of California, Berkeley

- 1. Properties of sets of isometries of Gromov hyperbolic spaces,
*Groups Geom. Dyn.***12**(2018) [arxiv,journal] - 2. A new inequality about matrix products and a Berger-Wang formula, preprint (2017) [arxiv]
- 3. The Avalanche Principle and negative curvature,
*Math. Z.*(2019) [arxiv,journal] - 4. Simultaneous approximation of singular values and applications
*(working title)*, [work in progress ]

- Spring 2018: GSI for Math 1B with Alexander Paulin.
- Fall 2018: GSI for Math 1A with Alexander Paulin.

- Spring 2017 - Spring 2018: Instructor for Mathematics Research Workshop. Course for talented High School students.

I've been part of the organization of the Second Math Camp for young students and teachers in Chile. I've also volunteered for the Math Festival in Chile and the Julia Robinson Math Festival.

I've been integrant of the academic committee in charge of preparing and grading tests for the Chilean Mathematical Olympiad, and I've trained chilean teams that participate in international mathematical olympiads (International, Cono-Sur and Iberoamerican).