General research interests
Ergodic Theory and Dynamical Systems, Number Theory, Fractal Geometry
Specific research interests
In Dynamics: homogeneous dynamics, dynamics of higher-rank abelian group actions on manifolds, rigidity phenomena, cohomological problems, representation theory of Lie groups; in Number Theory: Diophantine approximation and connections to homogeneous dynamics, Khintchine types of subspaces, inhomogeneous approximation; in Fractal Geometry: shrinking targets on self-affine fractals, and number-theoretic properties of points on fractals
Academic positions
2022 – present: Associate Professor of Mathematics, Wesleyan University, USA
2015 – 2022: Assistant Professor of Mathematics, Wesleyan University, USA
2013 – 2015: Postdoctoral Research Associate, University of York, UK
2010 – 2013: Postdoctoral Research Associate, University of Bristol, UK
Education
2010: Ph.D. in Mathematics, University of Michigan (Advisor: Ralf Spatzier)
2003: B.S. in Mathematics and Physics, Colorado State University