51. Three quick recipes with fully extended oriented 2d TQFTs [pdf]
50. Formally integrable complex structures on higher dimensional knot spaces (with Hong Van Le), Journal of Symplectic Geometry (2021, to appear) [arXiv]
49. An exposition of the topological half of the Grothendieck-Hirzebruch-Riemann-Roch theorem in the fancy language of spectra (with Mattia Coloma and Eugenio Landi) [arXiv]
48. Twisted Cohomotopy implies level quantization of the full 6d Wess-Zumino term of the M5-brane (with Hisham Sati and Urs Schreiber) Comm. Math. Phys. (2021, to appear) [arXiv]
47. Super-exceptional geometry: origin of heterotic M-theory and super-exceptional embedding construction of M5 (with Hisham Sati and Urs Schreiber), JHEP (2020, to appear) [arXiv]
46. Twisted Cohomotopy implies M-theory anomaly cancellation on 8-manifolds (with Hisham Sati and Urs Schreiber), Commun. Math. Phys. 377(3), 1961-2025 (2020) [arXiv]
45. Almost formality of manifolds of low dimension (with Kotaro Kawai, H\^ong V\^an L\^e, Lorenz Schwachh\"ofer), Annali Scuola Normale Superiore (2020, to appear) DOI: 10.2422/2036-2145.201905_002
[arXiv]
44. The (he)art of gluing (with Giovanni Marchetti) [arXiv]
43. Cyclic Gerstenhaber-Schack cohomology (with Niels Kowalzig) Journal of Noncommutative Geometry, (2020, to appear) [arXiv]
42. Strongly homotopy Lie algebras and deformations of calibrated submanifolds (with Hong Van Le, Lorenz Schwachhofer and Luca Vitagliano), Asian Journal of Mathematics (2020, to appear) [arXiv]
41. Higher T-duality of super M-branes (with Hisham Sati and Urs Schreiber) Advances in Theoretical and Mathematical Physics, Vol. 24, No. 3 (2020), pp. 621-708 [arXiv]
40. The Rational Higher Structure of M-theory (with Hisham Sati and Urs Schreiber) Proceedings of LMS/EPSRC Durham Symposium Higher Structures in M-Theory, August 2018; Fortschritte der Physik, May 2019 [arXiv]
39. Hearts and towers in stable infinity-categories (with Fosco Loregian and Giovanni Marchetti), Journal of Homotopy and Related Structures
(2019), Volume 14, Issue 4, pp 993--1042 [arXiv]
38. Higher brackets on cyclic and negative cyclic (co)homology (with Niels Kowalzig), International Mathematics Research Notices, 2018 ({\tt https: //doi.org/10.1093/imrn/rny241}) [arXiv]
37. T-duality from super Lie $n$-algebra cocycles for super $p$-branes (with Hisham Sati and Urs Schreiber), Advances in Theoretical and Mathematical Physics, Vol. 22, No. 5 (2018) [arXiv]
36. T-duality in rational homotopy theory via $L_\infty$-algebras (with Hisham sati and Urs Schreiber), Geometry, Topology and Mathematical Physics Journal, Vol 1 (2018) [arXiv]
35. Formal Abel-Jacobi maps (with Marco Manetti), International Mathematics Research Notices, 2018 ({\tt https://doi.org/10.1093/imrn/rny041}) [arXiv]
34. Rational sphere valued supercocycles in M-theory and type IIA string theory
(with Hisham Sati and Urs Schreiber), Journal of Geometry and Physics, Volume 114, p. 91-108 (2017) [arXiv]
33. Hodge Theory and Deformations of Affine Cones of Subcanonical Projective Varieties
(with Carmelo Di Natale and Enrico Fatighenti), Journal of the London Mathematical Society, doi:10.1112/jlms.12073 (2017) [arXiv]
32. Recollements in stable ∞-categories
(with Fosco Loregian), [arXiv]
31. The WZW term of the M5-brane and differential cohomotopy
(with Hisham sati and Urs Schreiber), J. Math. Phys. 56, 102301 (2015) [arXiv]
30. Central extensions of mapping class groups from characteristic classes
(with Urs Schreiber and Alessandro Valentino), Cahiers de Topologie et Géométrie Différentielle Catégoriques, volume LIX-3, 2018 [arXiv]
29. Hearts and towers in stable infinity-categories
(with Fosco Loregian), [arXiv]
28. Boundary conditions for topological quantum field theories, anomalies and projective modular functors
(with Alessandro Valentino), Comm. Math. Phys.
Volume 338, Issue 3, pp 1043-1074 (2015) [arXiv, journal]
27. t-structures are normal torsion theories
(with Fosco Loregian), Applied Categorical Structures 2015 (on line first, doi:s10485-015-9393-z) [arXiv]
26. Z_2 invariants of topological insulators as geometric obstructions
(with Domenico Monaco and Gianluca Panati), Commun. Math. Phys. 343, 1115-1157 (2016) [arXiv]
25. Construction of real-valued localized composite Wannier functions for insulators
(with Domenico Monaco and Gianluca Panati), Annales Henri Poincaré
(2015)
[arXiv, journal]
24. 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 (to appear)[arXiv]
23. L-infinity algebras of local observables from higher prequantum bundles (with Christopher L. Rogers and Urs Schreiber), Homology, Homotopy and
Applications, vol. 16(2), 2014, pp.107-142 [arXiv, journal]
22. Higher U(1)-gerbe connections in geometric prequantization (with Christopher L. Rogers and Urs Schreiber), Rev.
Math. Phys., Vol. 28, Issue 06, 1650012 (2016) [arXiv]
21. 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) [arXiv,
book]
20. Extended higher cup-product Chern-Simons theories (with Hisham Sati and Urs Schreiber), Journal of Geometry and
Physics, Volume 74 (2013), 130-163
[arXiv, journal]
19. The E8 moduli 3-stack of the C-field in M-theory (with Hisham Sati and Urs Schreiber), Comm. Math. Phys. (2014) [arXiv, journal]
18. 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, 229-321 (2014) [arXiv, journal]
17. Formality of Koszul brackets and deformations of holomorphic Poisson manifolds (with Marco Manetti), Homology, Homotopy and Applications, Volume 14, No. 2 (2012), 63-75, [arXiv, journal]
16. 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) 1250078 (36 pages) [arXiv, journal]
15. Cech cocycles for differential characteristic classes -- An
infinity-Lie theoretic construction (with Urs Schreiber and Jim
Stasheff), Advances in Theoretical
and Mathematical Physics,
Vol. 16, No. 1 (2012), 149-250 [arXiv, journal]
14. A short note on infinity-groupoids and the period map for
projective manifolds (with Elena Martinengo), Publications of the nLab, Volume 2, no.1 (2012),
pp. 1-13 [arXiv, journal].
13. 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]
12. A period map for generalized deformations (with
Marco Manetti), Journal of Noncommutative Geometry, Vol. 3, No. 4 (2009),
579-597
[journal,
arXiv]
11. Cosimplicial DGLAs in deformation theory (with
Marco
Manetti and Elena Martinengo), Communications in Algebra
Volume 40, Issue 6 (2012) 2243-2260
[arXiv, journal]
10. L-infinity algebras, Cartan homotopies and period maps (with Marco
Manetti), [arXiv]
9. L-infinity structures on mapping cones (with Marco
Manetti), Algebra & Number Theory, Vol 1, No. 3 (2007), 301-330 [journal,
arXiv]
8. Graph complexes in deformation quantization (with Lucian
M. Ionescu), Lett. Math. Phys., Vol 73, No. 3 (2005), 193-208
[journal,
arXiv]
7. On the Hochschild-Kostant-Rosenberg map for graded manifolds
(with Alberto S. Cattaneo and Riccardo Longoni), IMRN 2005:62 (2005)
3899-3918,
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journal,
arXiv]
6. An introduction to the Batalin-Vilkovisky formalism, Comptes Rendus
des Rencontres Mathématiques de Glanon, Édition 2003
[journal
, arXiv]
5. 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]
4. Sums over graphs and integration over discrete groupoids,
Applied Categorical Structures, Vol. 14, No. 4 (2006), 313-350. [journal, arXiv]
3. Feynman diagrams and the KdV hierarchy, [arXiv]
2. 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]
1. Feynman diagrams via graphical calculus (with Riccardo Murri),
Journal of Knot Theory and Its Ramifications, Vol. 11, No. 7 (2002) 1095-1131)
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arXiv]
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