News
New publications and preprints (see also here):
- Milnor fibers and oriented matroids with Masahiko Yoshinaga, arXiv:2508.15331
-
Hyperpolygonal arrangements with
Lorenzo Giordani,
Gerhard Röhrle
and
Johannes Schmitt,
published in Glasgow Mathematical Journal. Published online 2025:1-13. [arXiv, journal] - On connected subgraph arrangements with Lorenzo Giordani, Tilman Möller, and Gerhard Röhrle, arXiv:2502.18144
-
Projective dimension of weakly chordal graphic arrangements with
Takuro Abe,
Lukas Kühne
and
Leonie Mühlherr
published in Algebraic Combinatorics, Volume 8 (2025) no. 1, pp. 157-174. [arXiv, journal]
I started to develop some code for computations with hyperplane arrangements, oriented matroids and their invariants written over the years into a GAP4 package:
This contains the Milnor fiber complex of an oriented matroid, constructed in Milnor fibers and oriented matroids [arXiv:2508.15331], and enables computations with homotopy invariants.
About me
I am currently a postdoctoral researcher at the
Institute of Algebra, Number Theory and Discrete Mathematics
at Leibniz University Hannover
with a DFG "Eigene Stelle" within the DFG priority programme SPP 2458
"Combinatorial Synergies".
For my earlier positions please see my CV.
My research is in the field of algebraic and geometric combinatorics with connections to commutative algebra, algebraic geometry and algebraic topology. I am particularly interested in the interplay between combinatorial, algebraic and topological invariants of discrete geometric objects like hyperplane arrangements, i.e. finite sets of codimension one subspaces in a finite dimensional vector space, oriented matroids, and reflection groups.