May 15, 2026 polyhedral-geometry combinatorics triangulations asymptotics algebraic-geometry
Our paper on counting unimodular triangulations of a plane triangle that are themselves symmetric just got on the arXiv. It’s a nice application of recent improvements to TOPCOM and also comes with some insights into the asymptotics of the number of such triangulations. This is joint work with Michael Joswig and Jörg Rambau.
Nov 11, 2025 polyhedral-geometry combinatorics triangulations MLBN
My paper on a geometric analysis of the (generalized) maximum likelihood estimator for MLBNs just dropped on the arXiv. This goes into minimum bounding polytropes of finite sets of points and I raise a fun little question about set coverings of the dual regular subdivisions.
Oct 3, 2025 tropical-geometry MLBN graphs hyperplanes preprint
Our article about max-linear Bayesian networks and the combinatorics of their associated polytropes has finally been accepted into the Journal of Symbolic Computation for the special issue for MEGA 2024.
Jul 10, 2025 tropical-geometry MLBN graphs hyperplanes preprint
The fourth version to our paper about max-linear Bayesian networks and the combinatorics of their associated polytropes appeared on arXiv. This is joint work with Carlos Améndola.
Mar 17, 2025 polyhedral-geometry combinatorics triangulations deletion-contraction
Our paper regarding good triangulations of cosmological polytopes just appeared on the arXiv. In particular, we describe the good triangulations and $h^*$-polynomial of cosmological polytopes for all possible multigraphs. This is joint work with Aenne Benjes and Benjamin Schröter.
Mar 13, 2025 software groebner-basis tropical-geometry OSCAR
Our paper about implementing the Gröbner walk in the OSCAR computer algebra system just appeared on the arXiv. This is joint work with Francesco Nowell.
Feb 11, 2025 webpage
I just remembered how to display a list of news items using this static site generation system on my front page. So I may actually announce preprints, published articles and the likes here. Yay, more visibility!
Feb 11, 2025 tropical-geometry preprint
Our paper about Tropical Fréchet Means just appeared on the arXiv. This is joint work with Bo Lin, Carlos Améndola, Anthea Monod and Ruriko Yoshida.