Faculty of Mathematics
I am a mathematician at Bielefeld University working in the Geometry and Topology group. My field of research is low dimensional topology with a focus on the topology of smooth 4-manifolds. I received my PhD in 2014 from the University of Bonn under the supervision of Peter Teichner at the Max Planck Institute for Mathematics. Before coming to Bielefeld I held postdoc positions at the Alfréd Rényi Institute of Mathematics in Budapest (with András Stipsicz) and at Utrecht University (with Marius Crainic).
I am interested Heegaard-Floer and Seiberg-Witten theory and their application to 4-manifold theory. Recently, I have been thinking about various incarnations of so called correction terms (or d-invariants or Froshov invariants) and what they have to say about intersection forms of 4-manifolds with non-empty boundary. I also have a continued interest in what I like to call "surface valued Morse theory". By this I mean the study certain types of maps from 4-manifolds to surfaces (mostly the 2-sphere) and resulting combinatorial descriptions of 4-manifolds in terms of curve configurations of surfaces.
Here's a list of my mathematical interests:
Here's a selection of some my conference highlights and a (most likely outdated) list of future events. Just in case anyone is wondering where they might have met me, or appreciates a warning where they might run into me in the near future.
In the winter semester 2017/2018 I am organizing the exercise classes for Analysis I.