EDUARDO REYES
I am a Gibbs Assistant Professor at Yale University. Previously, I was a postdoctoral fellow at the Max Planck Institute for Mathematics at Bonn in the group of Ursula Hamenstädt.
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.
I received my PhD from the University of California, Berkeley. My advisor was Ian Agol.
Before coming to Berkeley, I received my bachelor's and master's degree from Pontificia Universidad Católica de Chile under the supervision of Jairo Bochi. Here is my CV .
In the Fall of 2024, I am co-organizing the Geometry and Topology seminar with Tam Cheetham-West. On November 16, Yale is hosting GATSBY.
Department of Mathematics
Yale University
937 Kline Tower
New Haven, CT 06511, USA
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). Preprint (2024). [link]
- Approximate marked length spectrum rigidity in coarse geometry (with Stephen Cantrell). Preprint (2024), submitted. [arxiv]
- Approximating hyperbolic lattices by cubulations (with Nic Brody). Preprint (2024), submitted. [arxiv]
- Rigidity phenomena and the statistical properties of group actions on CAT(0) cube complexes (with Stephen Cantrell). Preprint (2023), submitted. [arxiv]
- Marked length spectrum rigidity from rigidity on subsets (with Stephen Cantrell). Preprint (2023), submitted. [arxiv]
- Manhattan geodesics and the boundary of the space of metric structures on hyperbolic groups (with Stephen Cantrell). Comment. Math. Helv. (published online first). [arxiv,journal]
- On cubulated relatively hyperbolic groups. Geom. Top. 7 (2023) [arxiv,journal]
- The space of metric structures on hyperbolic groups. J. Lond. Math. Soc. 107 (2023) [arxiv,journal]
- 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]
SOME SLIDES
- 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
Yale
- 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.