Eduardo Reyes

EDUARDO REYES

I am an Assistant Professor at the Mathematics Department of the Pontifical Catholic University of Chile (PUC).

In the Spring of 2026, I will be at SLMath. Previously, I was a Gibbs Assistant Professor at Yale University (2024-2025) and a Postdoctoral Fellow at the Max Planck Institute for Mathematics at Bonn (2023-2024).

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.

Here is my CV .

Email: eduardoreyes + at + uc + dot + cl

Facultad de Matemáticas, Pontificia Universidad Católica de Chile
Edificio Rolando Chuaqui, Campus San Joaquín
Avda. Vicuña Mackenna 4860, Santiago, Chile
Office: 144

RESEARCH

Density of Green metrics for hyperbolic groups (with Stephen Cantrell and Dídac Martínez-Granado). In preparation.
The space of co-geodesic currents of a hyperbolic group (with Dídac Martínez-Granado). In preparation.
The joint translation spectrum and Manhattan manifolds (with Stephen Cantrell and Cagri Sert). [arxiv]
Approximate marked length spectrum rigidity in coarse geometry (with Stephen Cantrell). [arxiv]
Approximating hyperbolic lattices by cubulations (with Nic Brody). [arxiv]
Rigidity phenomena and the statistical properties of group actions on CAT(0) cube complexes (with Stephen Cantrell). [arxiv]
Marked length spectrum rigidity from rigidity on subsets (with Stephen Cantrell). [arxiv]
Manhattan geodesics and the boundary of the space of metric structures on hyperbolic groups (with Stephen Cantrell). [arxiv,journal]
On cubulated relatively hyperbolic groups. [arxiv,journal]
The space of metric structures on hyperbolic groups. [arxiv,journal]
A new inequality about matrix products and a Berger-Wang formula. [arxiv,journal]
The Avalanche Principle and negative curvature. [arxiv,journal]
Properties of sets of isometries of Gromov hyperbolic spaces. [arxiv,journal]

SOME SLIDES

Green metrics on hyperbolic groups and reparameterizations of the geodesic flow. STCD. March 8, 2025.
Approximating hyperbolic lattices by cubulations. World of Group Craft IV. September 9, 2024.
Comparación estadística de acciones en complejos cúbicos CAT(0) (in spanish). Encuentro SOMACHI. December 19, 2023.
Grupos, topología en dimensiones bajas, y curvatura no-positiva (in spanish). Colloquio Las Palmeras, Universidad de Chile. June 7, 2023.
The space of metric structures on hyperbolic groups. Geometric Topology in New York, Columbia. June 3, 2023.
The space of metric structures on hyperbolic groups (poster). Young Geometric Group Theory XI, Muenster. February 5, 2023.
Continuity of Bowen-Margulis currents for hyperbolic groups. Workshop in Dynamical Systems and Related Topics, Penn State. November 6, 2022.
Cubulated relatively hyperbolic groups. JMM, GGT Session. April 8, 2022.
Matrix products inequalities, the Berger-Wang identity, and non-positive curvature. JMM, ILAS Session on Matrix Analysis and Applications. April 7, 2022.

TEACHING

PUC Chile

2025 2nd Semester: MAT2544 (Topología).

Yale

2025 Spring : Instructor for Math 222.
2024 Fall : Instructor for Math 120.

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.

PUC Chile

Spring 2017 - Spring 2018: Instructor for Taller de Investigación Matemática (TIM). Course for talented High School students.