Domenico Fiorenza


Curriculum vitæ et studiorum

Born:  September 9th, 1974, Catanzaro, Italy.

Laurea in Matematica (Degree in Mathematics):   University of Rome La Sapienza, July 16th, 1996.

PhD in Mathematics: University of Pisa, December 11th, 2002.

Current position: Assistant Professor (Ricercatore) at the Department of Mathematics, University of Rome La Sapienza (since January 1st, 2005).

Selected adresses:
  • First Joint Meeting AMS-UMI, Pisa, 2002, special session on
         Quantum Cohomology and Moduli Spaces.
  • Symmetry in Nonlinear Mathematical Physics, Kiev, 2003 [notes].
  • Rencontres mathematiques de Glanon'', Glanon, 2003 [notes].
  • Visiting professor in IHÉS, February 2005.
  • Algebraic Structures in Geometry and Physics, Leicester, 2008
         [notes].
  • CATS3, Centro di Ricerca Matematica Ennio De Giorgi, Pisa, 2008

  • Additional Information:  
    PostDoc Researcher in the Departments of Mathematics of the Universities of Rome Tor Vergata, 2002 and La Sapienza, 2003-2005.

    Scientific Publications

    23. The E8 moduli 3-stack of the C-field in M-theory (with Hisham Sati and Urs Schreiber), [arXiv]
    22. Multiple M5-branes, String 2-connections, and 7d nonabelian Chern-Simons theory (with Hisham Sati and Urs Schreiber), [arXiv]
    21. Formality of Koszul brackets and deformations of holomorphic Poisson manifolds (with Marco Manetti), to appear in HHA, [arXiv]
    20. A higher Chern-Weil derivation of AKSZ sigma-models (with Chris Rogers and Urs Schreiber), to appear in IJGMMP, [arXiv]
    19. Cech cocycles for differential characteristic classes -- An infinity-Lie theoretic construction (with Urs Schreiber and Jim Stasheff), [arXiv]
    18. A short note on infinity-groupoids and the period map for projective manifolds (with Elena Martinengo), [arXiv]
    17. Differential graded Lie algebras controlling infinitesimal deformations of coherent sheaves (with Donatella Iacono and Elena Martinengo),
          JEMS, Volume 14, Issue 2, 2012, pp. 521-540 [journal, arXiv]
    16. A period map for generalized deformations (with Marco Manetti), Journal of Noncommutative Geometry, Vol. 3, No. 4 (2009), 579-597 [journal, arXiv]
    15. Cosimplicial DGLAs in deformation theory (with Marco Manetti and Elena Martinengo), to appear in Communications in Algebra [arXiv]
    14. L-infinity algebras, Cartan homotopies and period maps (with Marco Manetti), [arXiv]
    13. L-infinity structures on mapping cones (with Marco Manetti), Algebra & Number Theory, Vol 1, No. 3 (2007), 301-330 [journal, arXiv]
    12. Graded Poisson algebras (with Alberto S. Cattaneo and Riccardo Longoni), Encyclopedia of Mathematical Physics, J.-P. Naber and G. Sheung Tsun
          Tsou Eds., Academic Press-Elsevier (2006), 560-567.[pdf]
    11. Graph complexes in deformation quantization (with Lucian M. Ionescu), Lett. Math. Phys., Vol 73, No. 3 (2005), 193-208 [journal, arXiv]
    10. On the Hochschild-Kostant-Rosenberg map for graded manifolds (with Alberto S. Cattaneo and Riccardo Longoni), IMRN 2005:62 (2005) 3899-3918,
        [ journal, arXiv]
    9. An introduction to the Batalin-Vilkovisky formalism, Comptes Rendus des Rencontres Mathématiques de Glanon, Édition 2003 [journal , arXiv]
    8. Associative algebras, punctured disks and the quantization of Poisson manifolds (with Riccardo Longoni), Proceedings of Fifth International Conference
        Symmetry in Nonlinear Mathematical Physics, Kiev (Ukraine), part 2, Volume 50 of Proceedings of Institute of Mathematics on NAS of Ukraine, Editors
        A.G. Nikitin, V.M. Boyko, R.O. Popovych and I.A. Yehorchenko, Kyiv, Institute of Mathematics (2004), 729-736.[arXiv]
    7. Sums over graphs and integration over discrete groupoids, Applied Categorical Structures, Vol. 14, No. 4 (2006), 313-350. [journal, arXiv]
    6. Feynman diagrams, moduli spaces and the KdV hierarchy (PhD Thesis - University of Pisa, 2002), [ps]
    5. Feynman diagrams and the KdV hierarchy, [arXiv]
    4. Matrix integrals and Feynman diagrams in the Kontsevich model (with Riccardo Murri), Advances in Theoretical and Mathematical Physics, Vol. 7,
        No. 3 (2003) 525-576 [journal, arXiv]
    3. Feynman diagrams via graphical calculus (with Riccardo Murri), Journal of Knot Theory and Its Ramifications, Vol. 11, No. 7 (2002) 1095-1131)
        [journal, arXiv]
    2. Deformations of algebras and cohomology, [ps]
    1. An introduction to the language of operads, [ps]