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Ph.D. in Mathematics, Summa Cum Laude, Scuola Normale Superiore, 1995 (advisor F. Catanese). Master degree in Mathematics, Summa Cum Laude, Pisa University, 1989 (advisor F. Catanese). Diploma in Mathematics, Scuola Normale Superiore, 1989.
- PhD research topic
Marco Manetti. Research area. Lie and homotopy methods in...
- Ricerc@Sapienza
ADVANCES IN MATHEMATICS. 2023. DEFORMATIONS OF POLYSTABLE...
- PhD research topic
Marco Manetti, Francesco Meazzini. Comments: Final version. To appear in Indagationes Mathematicae. Journal-ref: Indagationes Mathematicae 31, 7-32 (2020) Subjects: Category Theory (math.CT); Algebraic Geometry (math.AG)
Marco Manetti is a PhD student at Sapienza University of Rome, working on Lie and homotopy methods in deformation theory. He uses differential graded Lie algebras, L-infinity algebras, obstruction theory and model categories to study small variations of algebro-geometric structures.
- Editorial Duties
- Research Papers
- Expository Papers
- Books
- Other (Thesis, Books Edited etc).
- Preprints Superseded by Other Articles Or Not Intended For publication.
I am an editor of the Annali di Matematica Pura ed Applicata. If you intend to submit a paper please make your submission online.
Bandiera, R., Lepri, E., Manetti, M.: Semiregularity maps and deformations of modules over Lie algebroids. arXiv:2208.00694.R. Bandiera, E. Lepri, M. Manetti: L∞ liftings of semiregularity maps via Chern-Simons classes. Advances in Mathematics \textbf{435} (2023) 109358,arXiv:2111.12985.R. Bandiera, M. Manetti, F. Meazzini: Deformations of polystable sheaves on surfaces: quadraticity implies formality. Moscow Mathematical Journal 22 (2022), 239--263;arXiv:1902.06486.E. Lepri, M. Manetti: Connections and L∞ liftings of semiregularity maps. Journal of Geometry and Physics 168 (2021) 104303,arXiv:2102.05016 .M. Manetti: Nullstellensatz per tutti.Ricordando Franco Conti, Pubbl. Cent. Ric. Mat. Ennio Giorgi,Scuola Norm. Sup., Pisa (2004) 235-244.M. Manetti: A proof of a version of a theorem of Hartogs. American Mathematical Monthly, Volume 117, Number 6, June-July 2010 , pp. 550-552. DOI: 10.4169/000298910X492844;M. Manetti: Topologia. Springer Unitext 32 (2008), 78(2014).M. Manetti: Topology. Springer Unitext 91(2015).M. Manetti: Lie Methods in Deformation Theory. Springer Monographs in Mathematics (2022).M. Manetti: Degenerations of Algebraic Surfaces and applications to Moduli problems. Tesi di Perfezionamento Scuola Normale Superiore (1996). PDFK. Behrend, M. Manetti (editors): Enumerative invariants in algebraic geometry and string theory. Lecture Notes in Mathematics 1947Springer (2008).M. Manetti and C. Spagnoli: The projective model structure on contractions. arXiv:1703.03231.D. Fiorenza, M. Manetti: L-infinity algebras, Cartan homotopies and period maps. arXiv:math/0605297.M. Manetti: Deformations of products and new examples of obstructed irregular surfaces. arXiv:math/0601169.M. Manetti: Q-Gorenstein smoothings of quotient singularities. Preprint Scuola Normale Superiore Pisa (1990). PDFMarco Manetti (born 1966) is full professor in geometry at Sapienza University of Rome (Italy). His research activity concerns algebraic geometry, deformation theory and higher algebraic structures.
- Marco Manetti
ADVANCES IN MATHEMATICS. 2023. DEFORMATIONS OF POLYSTABLE SHEAVES ON SURFACES: QUADRATICITY IMPLIES FORMALITY. MOSCOW MATHEMATICAL JOURNAL. 2022. Lie Methods in Deformation Theory. 2022. Formality conjecture for minimal surfaces of Kodaira dimension 0. COMPOSITIO MATHEMATICA.
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Marco Manetti. Introduces differential graded Lie algebras, L-infinity algebras, and their homotopy classification in detail. Applies the differential graded Lie approach to deformation theory of complex manifolds—the first book to do so. Includes practice exercises at the end of every chapter.
