Paul Mücksch

News

New publications and preprints (see also here):

  • Free multiderivations of connected subgraph arrangements with Gerhard Röhrle and Sven Wiesner, arXiv:2406.19866
  • Correction to: Shelling-type orderings of regular CW-complexes and acyclic matchings of the Salvetti complex with Emanuele Delucchi, published in International Mathematics Research Notices, Vol. 2024, Issue 15 (2024), 11484–11487, journal
  • Flag-accurate arrangements with Gerhard Röhrle and Tan Nhat Tran, published in Innov. Incidence Geom., Vol. 21 (2024), No. 1, 57–116, journal
  • Modular flats of oriented matroids and poset quasi-fibrations, published in Transactions of the American Mathematical Society, Series B 11 (2024), 306-328, journal (open-access)
  • Projective dimension of weakly chordal graphic arrangements with Takuro Abe, Lukas Kühne and Leonie Mühlherr, arXiv:2307.06021


About me

I am currently a postdoctoral researcher at the Insitute for Algebra, Number Theory and Discrete Mathematics at Leibniz Universität Hannover. Before that, I had a postdoctoral research position at Ruhr-Universität Bochum, and a JSPS Fellowship at Kyushu University in Fukuoka and Rikkyo University in Tokyo where my host was Prof. Takuro Abe.
Prior to this, I was a Leibniz Fellow at the Mathematisches Forschungsinstitut Oberwolfach, a postdoctoral fellow at the Max Planck Institute for Mathematics in Bonn and a postdoctoral assistant at the Lehrstuhl VI for Algebra and Number Theory of Prof. Dr. Gerhard Röhrle at Ruhr-Universität Bochum.
I completed my PhD at the Insitute for Algebra, Number Theory and Discrete Mathematics at Leibniz Universität Hannover under the supervision of Prof. Dr. Michael Cuntz.

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, and reflection groups.