I work on partial differential equations which are often motivated
from the geometric calculus of variations, one example being harmonic
maps between manifolds and various generalizations thereof. In
particular I am interested in regularity theory of such local or
nonlocal equations. The techniques are usually combinations of
geometric considerations and harmonic analysis, e.g. commutator
estimates and compensation effects.
Currently, I am an Assistant Professor at the University of Pittsburgh.
Positions held
| 2017- | Assistant Professor, University of Pittsburgh |
| 2016-2017 | DFG Heisenberg Fellow, University of Freiburg |
| 2014-2016 | Postdoc, Group of Enno Lenzmann, University of Basel |
| 2011-2014 | Postdoc, Group of Jürgen Jost, Max-Planck Institute MIS Leipzig |
| 2011 | Postdoc, FIM ETH Zürich |
Interests
- Geometric Analysis
- Harmonic Analysis
- Nonlinear Partial Differential Equations
Education
-
Habilitation in Mathematics, 2016
University of Freiburg
-
PhD in Mathematics, 2010
RWTH Aachen
-
Diplom in Mathematics, 2007
RWTH Aachen
