I am Lukas, a mathematician, but also a travel and sports enthusiast, and a nature-lover. In one sentence, I like to explore the world in as many facets as possible.
I am an algebraic geometer. In particular, I am interested in the geometry and topology of varieties with klt singularities. I also like to think about algebraic group actions and invariant theory.
I do lots of different sports, such as downhill mountainbiking, ski touring, mountain running, snowkiting, kitesurfing, spearfishing, apnoe diving. Previously, I also played waterpolo.
During my travels, I explored a few quite extraordinary places, such as the mountains and seas of Papua New Guinea, the far east of Turkey, Albania, remote Greek islands, and parts of the Ho Chi Minh trail.
If you want to find out more, just check out the rest of my page!
I am a Walter-Benjamin fellow in the Algebraic Geometry group of Stefan Kebekus at the University of Freiburg and principal investigator in my research project 'Fundamental and Divisor Class Group: Finiteness and Interplay' funded by the DFG (German research foundation).
Before that, I was a postdoc in the Arithmetic Geometry group of Annette Huber-Klawitter also at the University of Freiburg.
Even before that, I obtained my PhD in Nov. 2019 with summa cum laude from the University of Tübingen. My advisor was Jürgen Hausen.
I am interested in varieties with klt singularities, in particular their geometry and topology. My main tools are Cox rings, group actions, and orbifolds. I aim to generalize existing notions and fields of application of Cox rings and investigate their interplay with fundamental groups.
You can find my CV here.