Short Bio
I am an Associate Professor of Mathematics at the University of Texas - Austin. I received my Ph.D. in Mathematics from Stanford University (2011) and my Bachelors of Science degree in Mathematics and Physics at the College of Creative Studies at the University of California, Santa Barbara (2006). My research focuses on the geometry, topology, and deformation theory of locally homogeneous geometric structures on manifolds, a subject with roots in Felix Klein’s 1872 Erlangen program that features a blend of differential geometry, Lie theory, geometric groups theory, dynamics, and topology.
My research program has been recognized by an Alfred P. Sloane Fellowship (2016-2019), NSF grants including an NSF CAREER grant (2020-2026), and the Frontiers of Science Award in Mathematics (2024, joint with Maloni and Schlenker). See also Jean-Marc Schlenker's 2015 Séminaire Bourbaki about my joint work with François Guéritaud and Fanny Kassel.
My Ph.D. students
- Martin Bobb, Ph.D. 2020, placement: NSF postdoc at Michigan, and postdocs at Heidelberg and Leipzig
- Max Riestenberg, Ph.D. 2021, placement: postdocs at Heidelberg, and Leipzig
- Teddy Weisman, Ph.D. 2022, placement: NSF postdoc at Michigan, with 1 year at Leipzig
- Neza Zager-Korenjack, Ph.D. 2023, placement: postdoc at Michigan, with 1 year at Leipzig.
- Charlie Reid , Ph.D. 2024, placement: Gibbs postdoc at Yale, with 1 year at Leipzig
- Casandra Monroe, Ph.D. expected 2025.
- Luis Torres, Ph.D. expected 2026.
- Aaron Benda, Ph.D. expected 2027.
- Toby Aldape, Ph.D. expected 2027.
Some links:
I run the Texas Experimental Geometry Lab, which introduces undergraduates at UT Austin to research in geometry, topology, and dynamics through computational and experimental projects: TXGL
I am a PI of the NSF funded UT Groups and Dynamics RTG: UTGD