# Sebastian Hurtado

**Professor**

Department of Mathematics

Yale University

**Professor**

Department of Mathematics

Yale University

Department of Mathematics

Yale University

**Email: **sebastian.hurtado-salazar at yale dot edu

**Email:**sebastian.hurtado-salazar at yale dot edu

**Office: **LOM 216

**Office:**LOM 216

## Education + CV

### I am from Colombia. I obtained my Bachelor's degree at *Universidad Nacional de Colombia* in 2009 in Bogota. I finished my Ph.D. at UC Berkeley in 2014 under the supervision of Ian Agol. I was a postdoc at *Institut de Mathematiques de Jussieu* and a Dickson Instructor (a.k.a. postdoc) at the University of Chicago.

*Universidad Nacional de Colombia*in 2009 in Bogota. I finished my Ph.D. at UC Berkeley in 2014 under the supervision of Ian Agol. I was a postdoc at

*Institut de Mathematiques de Jussieu*and a Dickson Instructor (a.k.a. postdoc) at the University of Chicago.

### You can find a (probably old) copy of my CV here.

## Research Interests

### I am interested in Geometry and Dynamics. More specifically, Lie groups and its discrete subgroups, the geometry and topology of locally symmetric spaces, rigidity theory, group actions on manifolds and the Zimmer program.

## Preprints and publications

Homotopy type and homology versus volume in arithmetic locally symmetric spaces. (with Mikolaj Fraczyk and Jean Raimbault)

A height gap in GL_d(Q) and almost laws. (with Lvzhou Chen and Homin Lee)

Zimmer's conjecture for non-uniform lattices and escape of mass. (with Aaron Brown and David Fisher)

Non left-orderability of lattices in higher rank semi-simple Lie groups. (with Bertrand Deroin. Submitted)

Global Rigidity of Some Abelian-by-Cyclic group actions on T^2. (with Jinxin Xue. Accepted in

*Geometry and Topology*)Zimmer's conjecture for actions of SL_m(Z). (with A. Brown and D. Fisher.

*Inventiones mathematicae*(2020): 1-60.)Examples of diffeomorphism group cocycles with no periodic approximation.

*Proceedings of the American Mathematical Society*147.9 (2019): 3797-3802.Zimmer's conjecture: Subexponential growth, measure rigidity, and strong property (T). (with A. Brown and D. Fisher, accepted in Annals of Mathematics.)

The Burnside problem for area preserving diffeomorphisms of S^2. (with A Kocsard and Federico Rodriguez-Hertz, accepted in Duke Journal of Mathematics)

Distortion and Tits alternative in smooth mapping class groups. (with E. Militon,

*Transactions of the AMS*)Continuity of discrete homomorphisms of diffeomorphism groups. (

*Geometry and Topology*2015)

## Honors and Awards

Bourbaki seminar by Serge Cantat about the recent progress in the Zimmer program due to the work of A. Brown, D. Fisher, F. Rodriguez-Hertz, Z. Wang and myself: https://perso.univ-rennes1.fr/serge.cantat/Articles/Bourbaki-Zimmer.pdf

Sloan Fellowship 2020-2022.

New Horizons in Mathematics prize 2022. (Joint with Aaron Brown).

## Axioms

I believe in Federico Ardila's axioms:

**Axiom 1**. Mathematical potential is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.**Axiom 2.**Everyone can have joyful, meaningful, and empowering mathematical experiences.**Axiom 3.**Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.**Axiom 4.**Every student deserves to be treated with dignity and respect.

## Personal Heroes

Jaime Garzón https://en.wikipedia.org/wiki/Jaime_Garz%C3%B3n

Agustín Barrios: https://en.wikipedia.org/wiki/Agust%C3%ADn_Barrios

Ramanujan: https://en.wikipedia.org/wiki/Srinivasa_Ramanujan