Preprints

A combinatorial remark on equivariant Ehrhart theory with applications to poset polytopes.

Joint with Alessio D'Alì, ArXiv:2312.140886, 18p.

Combinatorial generators for the cohomology of toric arrangements

Joint with Filippo Callegaro, arXiv:2307.04553, 35p.

Supersolvable posets and fiber-type abelian arrangements.

Joint with Christin Bibby, ArXiv:2202.11996, 32p.

Realization spaces of matroids over hyperfields.

Joint with L. Hoessly and E. Saini, ArXiv:1504.07109v3, 48pp.

Published papers

Finitary affine oriented matroids.

Joint with Kolja Knauer, To appear in Discrete and Computational Geometry, ArXiv:2011.13348, 44p.

Dual structures on Coxeter and Artin groups of rank three

Joint with Giovanni Paolini and Mario Salvetti, Geometry & Topology, to appear (2023), [ArXiv], 37pp.

Many faces of symmetric edge polytopes.

Joint with Alessio D'Alì and Mateusz Michałek Electronic Journal of Combinatorics, Vol 29 n. 3 (2022), 42pp. [ArXiv]

Stanley-Reisner rings for symmetric simplicial complexes, G-semimatroids and Abelian arrangements.

Joint with Alessio D'Alì, Journal of Combinatorial Algebra, Vol. 5 n. 3 (2021), pp.185-236, [ArXiv], 42pp.

The homotopy type of elliptic arrangements

Joint with Roberto Pagaria, Algebraic and Geometric Topology, Vol. 21 (2021), pp. 2037-2063 [ArXiv].

Fundamental polytopes of metric trees via parallel connection of matroids.

Joint with Linard Hoessly. European Journal of Combinatorics, Volume 87 (2020). [ArXiv]

Impossibility results on stability of phylogenetic consensus methods. [ArXiv version]

Joint with Linard Hoessly and Giovani Paolini. Systematic Biology (2019), ArXiv:1810.03666, 12pp.

Shellability of posets of labeled partitions and arrangements defined by root systems.

Joint with Noriane Girard and G. Paolini. Electronic Journal of Combinatorics, Vol. 26 n. 4 (2019), 22pp.

Orlik-Solomon-type presentations for the cohomology algebra of toric arrangements.

Joint with Filippo Callegaro, Michele d'Adderio, Luca Migliorini and Roberto Pagaria. Transactions of the American Mathematical Society 373 (2020), 1909-1940. [ArXiv].
Corrigendum: Trans. Amer. Math. Soc. 374 (2021), 3779-3781.

Products of arithmetic matroids and quasipolynomial invariants of CW-complexes

Joint with L. Moci, Journal of Combinatorial Theory Series A (2018), 9pp. [ArXiv]

Group actions on semimatroids.

Joint with S. Riedel, Advances in applied mathematics (2018), 72pp.

The integer cohomology algebra of toric arrangements.

Joint with F. Callegaro, Advances in Mathematics (2017), 57pp.
Erratum: [click here]

Cryptomorphisms for abstract rigidity matroids.

Joint with Tim Lindemann, in Configurations Spaces - Geometry, Topology and Representation Theory, Springer INdAM conference series (2016), 16pp.

Discrete circle action on arrangement's complements

Joint with Michael J. Falk, Proceedings of the American Mathematical Society (2016), 12pp.

Bergman complexes of Lattice Path Matroids

Joint with Martin Dlugosch. SIAM Journal of Discrete Mathematics (2016), 15 pp.

Minimality of toric arrangements

Joint with Giacomo d'Antonio.
Journal of the European Mathematical Society (2015), 48pp.

Foundations for a theory of complex matroids

Joint with Laura Anderson.
Discrete and Computational Geometry (2012) 39pp.
Erratum: [click here]

A Salvetti complex for toric arrangements and its fundamental group

Joint with Giacomo d'Antonio. International Mathematics Research Notices, Vol. 2011, 32 pp.

Face vectors of subdivided simplicial complexes

Joint with Aaron Pixton and Lucas Sabalka. Discrete Mathematics, vol.312 (2011) n.2, pp. 248-257.

Modular elimination in matroids and oriented matroids

European Journal of Combinatorics, Vol. 32 (2011), n.3, pp. 339-343.

Combinatorial polar orderings and cursively orderable arrangements

Joint with Simona Settepanella. Advances in Applied Mathematics Vol. 44, no.2 (2010), pp. 124-144

Combinatorics of covers of complexified arrangements.

In "Arrangements, Local systems and singularities".
Progress in Mathematics Vol. 283, Birkhäuser, 2009, pp. 1-38.

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

International Mathematics Research Notices, Vol. 2008, no. 6, 39 pp.

Nested set complexes of Dowling lattices and complexes of Dowling trees

Journal of algebraic combinatorics, Vol. 26 (2007), no. 4, pp.477-494.

Simplicial shellable spheres via combinatorial blowups

Joint with Sonja L. Cukic. Proceedings of the A.M.S., Vol. 135 (2007), no.8, pp. 2403-2414.

Books

Giochi e percorsi matematici.

Joint with Giovanni Gaiffi and Ludovico Pernazza. Springer-Verlag, Convergenze 2012, xii+190 pp.

Combinatorial Methods in Topology and Algebra.

Jointly edited with Bruno Benedetti and Luca Moci. Springer-Verlag, INdAM conference series 2015, vii+227 pp.

Theses

Combinatorial Geometries in Algebra and Topology

Habilitationsschrift, University of Bremen, 2011.

Combinatorial topology of hyperplane arrangements and nested set complexes

Ph.D. Thesis, ETH Zurich, 2006.

On generalizing coriented matroids to a complex setting

Diploma Thesis, ETH Zurich, 2003.

Mathematics Education

Il gioco del 15: 1000 per due blocchetti!

Joint with Giovanni Gaiffi and Ludovico Pernazza. Xlatangente vol. 15 (2009).

Numeri e simmetria: il Sudoku

Joint with Giovanni Gaiffi and Ludovico Pernazza. Xlatangente vol. 13 (2009).

+&c.

Joint with Maurice D.Froidcoeur. Bollettino dei docenti di matematica Vol. 55 (2007), 15pp.

Miscellanea

Matroid theory by James Oxley

Book review for the newsletter of the European Mathematical Society, June 2012.

Combinatorial Remarks on a classical theorem of Deligne.

Research note, 9pp. arXiv:math/0611759.

Subdivision of complexes of k-trees

Research note, 9pp., arXiv:math/0509378.

Diagram models for the covers of the Salvetti complex.

Research note, 23pp., arXiv:math/0409036.