Master degree in Mathematics, 16 July 1996, Sapienza University of Rome.
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1 Domenico Fiorenza, curriculum vitæ et studiorum Current position: Professore associato (Associate professor) MAT/03 - Geometria (Geometry), Facoltà di Scienze Matematiche Fisiche e Naturali, Sapienza, Università di Roma. (Faculty of Mathematical, Physical and Natural Sciences, University of Rome, Sapienza). Since 1 October Previous position: Ricercatore universitario (Assistant professor) MAT/03 - Geometria (Geometry), Facoltà di Scienze Matematiche Fisiche e Naturali, Sapienza, Università di Roma. (Faculty of Mathematical, Physical and Natural Sciences, University of Rome, Sapienza). From 1 January 2005 to September Academic titles: Master degree in Mathematics, 16 July 1996, Sapienza University of Rome. PhD in Mathematics, 11 December 2002, university of Pisa. PhD thesis: Moduli spaces, Feynman diagrams and the KdV hierarchy. Advisor: Enrico Arbarello. PostDoc positions: University of Rome Tor Vergata, ; University of Rome Sapienza, Visiting Professor positions: Institute des Hautes Etudes Scientifiques, Bures-sur-Yvette, February Max Planck Institute für Mathematik, April Publications: 1. Boundary conditions for topological quantum field theories, anomalies and projective modular functors (with Alessandro Valentino), Comm. Math. Phys. Volume 338, Issue 3, pp (2015) 2. Z 2 invariants of topological insulators as geometric obstructions (with Domenico Monaco and Gianluca Panati), Comm. Math. Phys. (to appear) 3. t-structures are normal torsion theories (with Fosco Loregian), Applied Categorical Structures, 2015 (on line first, doi: s z) 4. The WZW term of the M5-brane and differential cohomotopy (with Hisham sati and Urs Schreiber), Journal of Mathematical Physics, 2015 (on line first, doi: / ) 5. Construction of real-valued localized composite Wannier functions for insulators (with Domenico Monaco and Gianluca Panati), Annales Henri Poincaré, 2015 (on line first, doi: /s ) 1
2 6. Super Lie n-algebra extensions, higher WZW models, and super p-branes with tensor multiplet fields (with Hisham Sati and Urs Schreiber), International Journal of Geometric Methods in Modern Physics 12 (2014) The E 8 moduli 3-stack of the C-field in M-theory (with Hisham Sati and Urs Schreiber), Comm. Math. Phys. 333 (2015) 1, A higher stacky perspective on Chern-Simons theory (with Hisham Sati and Urs Schreiber), in Mathematical Aspects of Quantum Field Theories (Damien Calaque and Thomas Strobl Eds.), Springer (2015) 9. L -algebras of local observables from higher prequantum bundles (with Christopher L. Rogers and Urs Schreiber), Homology, Homotopy and Applications, vol. 16(2), 2014, pp Multiple M5-branes, String 2-connections, and 7d nonabelian Chern-Simons theory (with Hisham Sati and Urs Schreiber), Advances in Theoretical and Mathematical Physics, Vol. 18, No. 2 (2014). 11. A higher stacky perspective on Chern-Simons theory (with Hisham Sati and Urs Schreiber), in Mathematical Aspects of Quantum Field Theories (Damien Calaque and Thomas Strobl Eds.), Springer (to appear). 12. Extended higher cup-product Chern-Simons theories (with Hisham Sati and Urs Schreiber), Journal of Geometry and Physics, Volume 74 (2013), A higher Chern-Weil derivation of AKSZ sigma-models (with Chris Rogers and Urs Schreiber), International Journal of Geometric Methods in Modern Physics Vol. 10, No. 1 (2013) (36 pages). 14. Formality of Koszul brackets and deformations of holomorphic Poisson manifolds (with Marco Manetti), Homology, Homotopy and Applications, Volume 14, No. 2 (2012), Cech cocycles for differential characteristic classes An -Lie theoretic construction (with Urs Schreiber and Jim Stasheff), Advances in Theoretical and Mathematical Physics, Vol. 16, No. 1 (2012), A short note on -groupoids and the period map for projective manifolds (with Elena Martinengo), Publications of the nlab, Volume 2, no.1 (2012), pp Cosimplicial DGLAs in deformation theory (with Marco Manetti and Elena Martinengo), Communications in Algebra Volume 40, Issue 6 (2012), Differential graded Lie algebras controlling infinitesimal deformations of coherent sheaves (with Donatella Iacono and Elena Martinengo), JEMS, Volume 14, Issue 2, 2012, pp A period map for generalized deformations (with Marco Manetti), Journal of Noncommutative Geometry, Vol. 3, No. 4 (2009),
3 20. L-structures on mapping cones (with Marco Manetti), Algebra & Number Theory, Vol 1, No. 3 (2007), Sums over graphs and integration over discrete groupoids, Applied Categorical Structures, Vol. 14, No. 4 (2006), 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), Graph complexes in deformation quantization (with Lucian M. Ionescu), Letters in Mathematical Physics, Vol 73, No. 3 (2005), On the Hochschild-Kostant-Rosenberg map for graded manifolds (with Alberto S. Cattaneo and Riccardo Longoni), International Mathematics Research Notices 2005:62 (2005) An introduction to the Batalin-Vilkovisky formalism, Comptes Rendus des Rencontres Mathematiques de Glanon, Edition 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), Matrix integrals and Feynman diagrams in the Kontsevich model (with Riccardo Murri), Advances in Theoretical and Mathematical Physics, Vol. 7, No. 3 (2003) Feynman diagrams via graphical calculus (with Riccardo Murri), Journal of Knot Theory and Its Ramifications, Vol. 11, No. 7 (2002) Popularizations: 1. Secret life of pairs of points, Atomium Culture (Mathematics), Il dilemma del rigorista, Archimede, 3 (2010), (in Italian) Preprints: 1. Recollements in stable -categories (with Fosco Loregian), arxiv: Central extensions of mapping class groups from characteristic classes (with Urs Schreiber and Alessandro Valentino), arxiv: Hearts and towers in stable infinity-categories (with Fosco Loregian), arxiv: Referee for: NSA Mathematical Sciences Grants Program, PISCOPIA Fellowship Programme Marie Curie Action, 3
4 Communications in Mathematical Physics, Journal of Geometry and Physics, Annales Henri Poincaré Journal of Mathematical Physics, Mathematical Physics, Analysis and Geometry Homology, Homotopy and Applications, Mathematische Zeitschrift, Letters in Mathematical Physics, International Journal of Geometric Methods in Modern Physics, Differential Geometry and its Applications, Reports on Mathematical Physics, SIGMA (Symmetry, Integrability and Geometry: Methods and Applications). Reviewer for: Mathematical Reviews, Zentralblatt MATH. Selected addresses: In conferences and workshops: 1. Higher TQFT and categorical quantum mechanics; ESI, Vienna, Derived Algebraic Geometry, with a focus on derived symplectic techniques; Warwick, Higher Structures in Algebraic Analysis, Padova, GAP XI, Pittsburgh, Quantization, topological models and generalized geometries, Bayrischzell, Incontri di geometria noncommutativa - A Neapolitan Workshop on Noncommutative Geometry, Napoli, CATS3, Centro di Ricerca Matematica Ennio De Giorgi, Pisa, Algebraic Structures in Geometry and Physics, Leicester, Geometria e Fisica, Università di Milano, Rencontres mathematiques de Glanon, Glanon, Symmetry in Nonlinear Mathematical Physics, Kiev, First Joint Meeting AMS-UMI, special session Quantum Cohomology and Moduli Spaces, Pisa,
5 In Universities and Research Institutes: 1. ESI, Vienna, SISSA, Trieste, Department Colloquium, Göttingen, Higher Differential Geometry Seminar, MPIM, Bonn, Talks in Mathematical Physics, ETH, Zurich, Quarterly Seminar on Topology and Geometry, Universiteit Utrecht, PhD students: 1. Riccardo Murri, Scuola Normale Superiore, Pisa, 2013; co-advised with Enrico Arbarello 2. Fabio Trova, University of Rome Tor Vergata, Fosco Loregian, SISSA, Trieste (2016?) 4. Matteo Braghiroli, University of Rome Sapienza (2016?) 5
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