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, which also have applications in quantitative estimates in topology.
I am Associate Prof. at the University of Pittsburgh.
Current funding:
NSF Career DMS-2044898 (2021-2026, USD 520,968)
Alexander von Humboldt Fellowship Humboldt Research Fellow (2023-2026)
Current Seminars
Editorial Work
I am associate editor for Advances in Continuous and Discrete Models (formerly: Advances in Difference Equations)
Positions held
| 2021- | Associate Professor, University of Pittsburgh |
| 2017-2021 | 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
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Habilitation in Mathematics, 2016
University of Freiburg
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PhD in Mathematics, 2010
RWTH Aachen
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Diplom in Mathematics, 2007
RWTH Aachen
