Eduardo Reyes

Graduate Student

I am a fifth year graduate student at the University of California, Berkeley, supervised by Ian Agol. Starting in the Fall of 2023, I will be a postdoc at the Max Planck Institute for Mathematics at Bonn.

I am interested in geometric group theory and its interactions with low-dimensional topology, geometric topology and dynamics. I like studying hyperbolic groups and their generalizations, groups acting on CAT(0) cube complexes, and deformation spaces of isometric actions.

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 .

In the Spring of 2023, I am coorganizing the student 3-manifold seminar with Chi Cheuk Tsang.

Email: eoregon + at + berkeley + dot + edu

Department of Mathematics
Evans Hall, 1087
University of California, Berkeley
Berkeley, CA 94720

RESEARCH

Approximate control on the length spectrum and rigidity on subsets (with Stephen Cantrell). In preparation.
Manhattan geodesics and the boundary of the space of metric structures on hyperbolic groups (with Stephen Cantrell). Preprint (2022), submitted. [arxiv]
The space of metric structures on hyperbolic groups. Accepted in J. Lond. Math. Soc. (2022) [arxiv,journal (early view)]
On cubulated relatively hyperbolic groups. Accepted in Geom. Top. (2021) [arxiv]
A new inequality about matrix products and a Berger-Wang formula. J. Éc. polytech. Math. 7 (2020) [arxiv,journal]
The Avalanche Principle and negative curvature. Math. Z. 294 (2019) [arxiv,journal]
Properties of sets of isometries of Gromov hyperbolic spaces. Groups Geom. Dyn. 12 (2018) [arxiv,journal]

TEACHING

At UC Berkeley

2023 Spring : GSI for Math 55 with James Demmel.
2022 Spring : GSI for Math 55 with Kenneth A. Ribet.
2021 Fall : GSI for Math 16A with Richard Bamler.
2021 Spring : GSI for Math 55 with Mark Haiman.
2020 Fall : GSI for Math 1B with Alexander Paulin.
2020 Spring : GSI for Math 55 with Olga Holtz.
2019 Spring : GSI for Math 1B with Alexander Paulin.
2018 Fall : GSI for Math 1A with Alexander Paulin.

At PUC

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

OUTREACH ACTIVITIES

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).