Kathrin Welker received her Diploma in Applied Mathematics from Trier University, Germany. During her studies she spent a half year at the University of Southampton, United Kingdom, as an exchange student. After earning her degree in Applied Mathematics in October 2013, she has been employed as a Scientific Assistant in the Department of Mathematics at Trier University in the research group “Numerical Mathematics, Optimization and Partial Differential Equations” of Prof. Dr. Volker Schulz. In September 2016, she was awarded her PhD. From September 2016 until December 2018, she worked as a postdoctoral researcher in the project “Optimizing Variational Inequalities on Shape Manifolds” of the DFG priority program on “Non-smooth and Complementarity based Distributed Parameter Systems: Simulation and Hierarchical Optimization” at Trier University. Currently, Kathrin Welker holds a Junior Professor position at Helmut-Schmidt-University / University of the Federal Armed Forces in Hamburg, Germany.
Kathrin Welker’s research focus lies in the area of mathematical optimization, numerics of partial differential equations and infinite dimensional differential geometry. In particular, she focuses on shape optimization and the development of efficient numerical methods for shape optimization problems. Further main research activities of Kathrin Welker are concentrated on the analytical and numerical treatment of constrained optimization problems (in particular, constraints in form of partial differential equations and variational inequalities) and on the investigation of shape spaces and their structures (especially with regard to Riemannian manifolds and diffeological spaces).