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.
Education & Training
- PhD, RWTH Aachen University, Germany
Nonlinear partial differential equations, Harmonic Analysis, Geometric analysis, Calculus of Variations