Geometric analysis, general relativity, analysis of (hyperbolic) partial differential equations, geometry, mathematical physics.
University of Michigan, Department of Mathematics, Ann Arbor MI, USA:
Associate Professor, since 2015.
Assistant Professor, 2010 - 2015.
Harvard University, Department of Mathematics, Cambridge MA, USA:
Benjamin Peirce Lecturer on Mathematics with the status of Assistant Professor, 2007-2010.
ETH Zurich, Department of Mathematics, Switzerland: Ph.D. 2007.