RESEARCH I  THESES I  MATH. EDUCATION I  LECTURE NOTES

RESEARCH

Published papers

• Combinatorics of covers of complexified hyperplane arrangements; Progress in Mathematics, Vol. 238, p.1-38, Birkhäuser Verlag, Basel. (Lecture Notes of the 2007 CIMPA summer school at Galatasaray University, Istanbul.)
• Combinatorics of polar orderings and recursively orderable arrangements (with S. Settepanella); to appear in Advances in Applied Mathematics.
• Shelling-type orderings of regular CW-complexes and acyclic matchings of the Salvetti complex;
  International Mathematics Research Notices 2008, 39 pp.
• Nested set complexes of Dowling lattices and complexes of Dowling trees.
  J. Algebraic Combin. 26 (2007), no. 4,477-494.
  Preprint version: ArXiv math.CO/0603383.
• Simplicial shellable spheres via combinatorial blowups (joint with Sonja Lj. Cukic);
  Proc. Amer. Math. Soc. 135 (2007), 2403-2414.
  Preprint version: ArXiv:math.CO/0602101.

Preprints

• Complex matroids (joint with Laura Anderson), preprint, 33 pp.
• f-polynomials of subdivisions of complexes (with Lucas Sabalka and Aaron Pixton), preprint in preparation, 12pp.
• Modular elimination in matroids and oriented matroids, preprint, 3pp.
• Diagram models for the covers of the Salvetti complex;
  ArXiv:math.AT/0409036A, 23 pp.
• Subdivision of complexes of k-Trees;
  ArXiv:math.CO/0509378, 9pp.
• Combinatorial remarks on a classical theorem of Deligne;
  ArXiv math.CO/0611759, 9pp.

MATH. EDUCATION

• Giochi e passatempi, alla ricerca di problemi e soluzioni (joint with G. Gaiffi and L. Pernazza), Quaderni della Settimana matematica, universita’ di Pisa.

• “+&c.” (joint with M.D. Froidcoeur)
  Bollettino dei docenti di Matematica della Svizzera italiana, n. 55 (2007).

THESES

• On generalizing oriented matroids to a complex setting.
  Diploma thesis, ETH Zurich, spring 2003, 48 pp.
• Topology and combinatorics of arrangement covers and of nested set complexes.
  PhD. thesis, ETH Zurich, summer 2006, 157 pp.