I am interested in all aspects of polyhedral, tropical and algorithmic geometry, and this includes topics such as optimization, combinatorial topology and applications to biology. See here for an overview of ongoing and past projects. Moreover, I like to design and apply mathematical software, the main projects being polymake and OSCAR.
\(\texttt{polymake}\) (version 3.4) : a software package for analyzing convex polytopes and more ; open source software, presented at the mathematical software sessions of ICM 1998 (Berlin), ECM 2000 (Barcelona) and elsewhere