Preprints:

    The monoid of monotone functions on a poset and arithmetic multiplicities for uniform matroids (with W. Bruns and P.A. García-Sánchez), in preparation.

    Main publications:

  • 1. Polytopes and parameter spaces for matroids over valuation rings (with A. Fink), Advances in Mathematics 343 (2019), 449–494. doi:10.1016/j.aim.2018.11.009 (arXiv).
  • 2. Universal Tutte characters via combinatorial coalgebras (with A. Fink and C. Dupont), Algebraic Combinatorics, Volume 1 (2018) no. 5, p. 603-651, (arXiv).
  • 3. Products of arithmetic matroids and quasipolynomial invariants of CW-complexes (with E. Delucchi), J. of Combinatorial Theory Series A, Volume 157 (July 2018), p.28-40, (arXiv).
  • 4. The expected jaggedness of order ideals (with M. Chan, S. Haddadan, and S. Hopkins), Forum of Mathematics, Sigma, 5 (2017), doi:10.1017/fms.2017.5 (arXiv).
  • 5. Geometric realizations and duality for Dahmen-Micchelli modules and De Concini-Procesi-Vergne modules (with F. Cavazzani), Discrete & Computational Geometry, January 2016, Volume 55, Issue 1, pp 74-99, (arXiv).
  • 6. Matroids over a ring (with A. Fink), Journal of the European Mathematical Society, Volume 18, Issue 4, 2016, pp. 681–731, (arXiv).
  • 7. The multivariate arithmetic Tutte polynomial (with P. Brändén), Trans. Amer. Math. Soc. 366 (2014) 5523-5540. (arXiv)
  • 8. Graph colorings, flows and arithmetic Tutte polynomial (with M. D'Adderio), J. of Combinatorial Theory, Series A, 120 (2013) 11-27, (arXiv).
  • 9. Arithmetic matroids, Tutte polynomial, and toric arrangements (with M. D'Adderio), Advances in Mathematics, Vol. 232, Iss. 1, 15 January 2013, Pages 335-367 (arXiv).

  • 10. On a conjecture of Hivert and Thiéry about Steenrod operators (with M. D'Adderio), Journal of Algebra 354 (2012) 158–179(arXiv)
  • 11. Ehrhart polynomial and arithmetic Tutte polynomial (with M. D'Adderio), European J. of Combinatorics 33 (2012) 1479–1483, (arXiv) .
  • 12. The homotopy type of toric arrangements (with S. Settepanella), J. of Pure and Appl. Algebra, 215 (2011), 1980-1989. (arXiv)
  • 13. Wonderful models for toric arrangements, International Mathematics Research Notices (2012) Vol. 2012 213-238. (arXiv)
  • 14. A Tutte polynomial for toric arrangements, Transactions Amer. Math. Soc. 364 (2012), 1067-1088. (arXiv)
  • 15. Combinatorics and topology of toric arrangements defined by root systems, Rend. Lincei Mat. e Appl. 19 (2008), 293-308, (arXiv)

Others:

  • 16. Matroids over a ring (with A. Fink), extended abstract of [2], Proceedings FPSAC 2013 (DMTCS).
  • 17. The multivariate arithmetic Tutte polynomial (with P. Brändén), extended abstract of [3], Proceedings FPSAC 2012 (DMTCS).
  • 18. Arithmetic matroids and Tutte polynomials (with M. D'Adderio), extended abstract of [5], Proceedings FPSAC 2012 (DMTCS).
  • 19. Zonotopes, toric arrangements, and generalized Tutte polynomials, extended abstract of [10], Proceedings FPSAC 2010 (DMTCS).
  • 20. Geometry and Combinatorics of toric arrangements, Ph. D. Thesis, University of Roma Tre (Italy), March 2010.

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