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.
Fall Term 2019
Tuesday - 10:30 AM - 12:00 PM
Education & Training
- PhD, RWTH Aachen University, Germany
Nonlinear partial differential equations, Harmonic Analysis, Geometric analysis, Calculus of Variations