I am a postdoc working at the Institute of Analysis and Number Theory of the Graz University of Technology in Austria. While I have a general interest in mathematics and natural sciences, my main field of expertise is discrete dynamical systems. I wrote several papers on shift radix systems (a special kind of discrete dynamical systems which generalize beta expansions and canonical number systems) which were also the main subject of my PhD thesis. In addition to shift radix systems I worked on a broad range of subjects including
- triangulations of convex polytopes
- contractive polynomials
- counting matchings in graphs
- real-time physics and computer graphics
- procedural and functional programming
- logic, set theory, and type theory
- homotopy type theory
- category theory
In 2017 I successfully applied for a stand-alone project of the Austrian Science Fund (FWF) which will start in July 2018. One of the main subjects of the project will be the famous Collatz conjecture which I am deeply passionate about.
At the beginning of 2018 I established a seminar at TU Graz which is a joint effort to study homotopy type theory and related fields. New participants are always welcome!
Apart from working on mathematical problems I like hiking and being in nature, watching movies, playing computer games, flying planes (I am a licensed pilot) and spending time with my wonderful soon-to-be wife and children.