Research papers

On modular elimination in matroids and oriented matroids

Preprint, 5 pp.

f-vectors of subdivided simplicial complexes

Joint with Aaon Pixton and Lucas Sabalka. Download here a first version of the preprint.

Complex matroids

Joint with Laura Anderson, preprint, 33 pp.

This has been hunting me since I got it as a diploma thesis problem. But only now, with Laura Anderson, we could get to the core of the matter. Here the slides and the handout of the talk.

Combinatorial polar orderings and recursively ordered arrangements.

Accepted for publication on Advances in Applied Mathematics. more…

Combinatorics of covers of complexified hyperplane arrangements.

38pp. To appear in the Lecture Notes of the 2007 CIMPA summer school at Galatasaray University, Istanbul, Turkey. more…

Shelling-type orderings of regular CW-complexes and acyclic matchings of the Salvetti complex.

International Mathematics Research Notices 2008, 39 pp.

more…

Combinatorics of polar orderings and follow-up arrangements.

Joint work with Simona Settepanella. ArXiv:0711.1517, 18 pp. more…

Combinatorial remarks on a classical theorem of Deligne

ArXiv math.CO/0611759, 9pp.

NOTE: After the first version of the preprint was posted, M.Yoshinaga pointed out to me that the question of simpliciality vs. Property D was already solved by Paris. more…

Nested set complexes of Dowling lattices and complexes of Dowling trees.

J. Algebraic Combin. 26 (2007), no. 4, 477-494.

more…

Diagram models for the covers of the Salvetti complex

ArXiv:math.AT/0409036A, 23 pp.

more…