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
"On the adjoint map of homotopy abelian DG-Lie Algebras", with M.Manetti; preprint:
file; accepted for publication in Archivum Mathematicum.
"On deformations of pairs (manifold, coherent sheaf)", with M.Manetti;
published online in Canad. J. Math. on 3 December 2018;
"On the abstract Bogomolov-Tian-Todorov Theorems";
Rend. Mat. Appl., Serie VII, 38, (2017), 175-198;
"Diffeomorphism classe of Calabi-Yau varieties", with G.Bini; Rend. Sem. Mat., Volume 73, Issue 1-2 (2015), 9-20.
"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,
"Deformations and obstructions of pairs (X,D)"; Internat. Math. Res. Notices (IMRN), Volume 2015, Issue 19, 9660-9695;
"The Tutte polynomial of some self-similar graphs", with A.Donno; Advances in Geometry 13 (2013) 663-694;
"Semiregularity and obstructions of complete intersections", with M.Manetti; Advances
in Mathematics, 235, (2013), 92-125;
"Posetted trees and Baker-Campbell-Hausdorff product ", with M.Manetti; Mediterranean Journal of Mathematics
10, (2013), 611-623,
"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
- "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);
"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;
"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;
"Deformation of algebriac subvarieties"; Preprint of the Max Planck Insitute
Rend. Mat. Appl., Serie VII, 30 (I), 2010, 89-109; arXiv:1003.3333.
- "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);
- "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.
- "Local structure of abelian covers'', Journal of Algebra 301, 2006, 601-615;
arXiv: math. AG/0511700.
- "Differential Graded Lie Algebras and Deformation of Holomorphic maps'',
PhD Thesis, Rome, (2006)
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