Research Interests

My research field is Algebraic Geometry and my interests concern the Deformation Theory, with particular attention to the approach via Differential Graded Lie Algebras and L-infinity Algebras; Moduli Spaces; Dg-schemes and Dg-Manifolds; Derived Algebraic Geometry; Stack.

Preprints and Publications

Many of them can be found on arXiv. Here you can find my profile on Scopus, Isi, Mathscinet, Orcid, Google Scholar.

  1. "On the adjoint map of homotopy abelian DG-Lie Algebras", with M.Manetti; preprint: file; accepted for publication in Archivum Mathematicum.
  2. "On deformations of pairs (manifold, coherent sheaf)", with M.Manetti; published online in Canad. J. Math. on 3 December 2018; published version; arXiv:1707.06612.
  3. "On the abstract Bogomolov-Tian-Todorov Theorems"; Rend. Mat. Appl., Serie VII, 38, (2017), 175-198; published version; pdf; arXiv:1711.11474.
  4. "Diffeomorphism classe of Calabi-Yau varieties", with G.Bini; Rend. Sem. Mat., Volume 73, Issue 1-2 (2015), 9-20. published version; arXiv:1612.04311.
  5. "Distances and isomorphisms in 4-regular circulant graphs", with A.Donno; International Conference of Numerical Analysis and Applied Mathematics 2015 (ICNAAM 2015), AIP Conference Proceedings 1738, 270002 (2016); doi: 10.1063/1.4952041, file.
  6. "Deformations and obstructions of pairs (X,D)"; Internat. Math. Res. Notices (IMRN), Volume 2015, Issue 19, 9660-9695; arxiv:1302.1149.
  7. "The Tutte polynomial of some self-similar graphs", with A.Donno; Advances in Geometry 13 (2013) 663-694; arXiv:1006.5333.
  8. "Semiregularity and obstructions of complete intersections", with M.Manetti; Advances in Mathematics, 235, (2013), 92-125; arXiv:1112.0425.
  9. "Posetted trees and Baker-Campbell-Hausdorff product ", with M.Manetti; Mediterranean Journal of Mathematics 10, (2013), 611-623, arXiv:1106.4685.
  10. "Differential graded Lie algebras controlling infinitesimal deformations of coherent sheaves", with D. Fiorenza and E. Martinengo; J. Eur. Math. Soc. (JEMS) 14, (2012), no. 2, 521-540 arXiv:0904.1301.
  11. "A Semi-regularity map annihilating obstructions to deforming holomorphic maps'', Canadian Mathematical Bulletin 54, n. 3, 2011, 472-486; Preprint 33 (2006/2007) of the Institute Mittag-Leffler (Stockholm); arXiv 0707.2454.
  12. "The Tutte polynomial of the Schreier graphs of the Grigorchuk group and of the Basilica group", with T. Ceccherini-Silberstein and A.Donno; "Ischia Group Theory 2010" Proceedings of the Conference, 45–68, 2012, World Scientific Publishing Company, Hackensack, NJ; ISBN-10: 9814350389; arXiv:1010.2902.
  13. "An algebraic proof of Bogomolov-Tian-Todorov theorem", with M.Manetti; in "Deformation Spaces", Aspects of Mathematics vol. 39, p. 113-133, Vieweg Verlag, 2010; arXiv:0902.0732.
  14. "Deformation of algebriac subvarieties"; Preprint of the Max Planck Insitute MPIM2010-28; Rend. Mat. Appl., Serie VII, 30 (I), 2010, 89-109; arXiv:1003.3333.
  15. "L-infinity Algebras and Deformations of Holomorphic Maps'', International Mathematics Research Notices (IMRN), 2008, rnn013-36. Preprint 28 (2006/2007) of the Institute Mittag-Leffler (Stockholm); arXiv 0705.4532.
  16. "Algebre di Lie Differenziali Graduate e Deformazioni di Mappe Olomorfe'', Synthesis of PhD Thesis, Bollettino Unione Matematica Italiana, Sez. A, Serie VIII, Vol. X-A, (2007), 251-254.
  17. "Local structure of abelian covers'', Journal of Algebra 301, 2006, 601-615; arXiv: math. AG/0511700.

Other Publications

  • "Differential Graded Lie Algebras and Deformation of Holomorphic maps'', PhD Thesis, Rome, (2006) arXiv:math.AG/0701091.

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