|Postal address||Universität Bielefeld
Fakultät für Mathematik
Postfach 10 01 31 D-33615 Bielefeld
|Phone||+49 (0)521 106-67588
+49 (0)521 106-6867 (secretary)
|Office hours||by appointment|
|2017 -||Full professor at Bielefeld University|
|2015 - 2017||Full professor at Osnabrück University|
|2010 - 2015||W2 Professor at LMU Munich|
|2010||Extraordinary professor at Freiburg University|
|2007||Habilitation thesis at Freiburg University|
|2002||Doctoral thesis at Freiburg University|
|1998 - 1999||Start of PhD at Bonn University|
|1997 - 1998||Assistant teacher at Michigan State University (USA)|
|1997||Diploma in Mathematics at Münster University|
|1997||Two-year-exam in Physics at Münster University|
My major field of research is the study of non-linear partial differential equations. This involves several aspects from mathematics:
Numerical Analysis: The goal is to develop and analyse algorithms for solving the non-linear PDEs. A strong focus is on adaptive methods with optimal complexity. A new focus is on the regularity of the finite element solutions.
Regularity and Existence Theory: Study of Non-Newtonian fluids and equations with similar structure like the p-Laplacian. The exact quantification of regularity in terms of the forcing terms (Nonlinear Calderon-Zygmund Theory) is one of the main questions.
Function Spaces: In the context of electrorheological fluids it is necessary to study space with variable integrability and differentiability. This topic was many years my main focus. Moreover, I also study function spaces of bounded variation.