News: 

• Where I'll be: Roma. Upcoming trips. 

• The data from Fano 3-folds from homogeneous vector bundles over Grassmannians can now be visualized here. (Thanks to Pieter Belmans!) 

About:  

I am a senior researcher (RTD-B) at Università di Bologna.

Previously I was a researcher (RTD-A) at Sapienza Università di Roma, a postdoc at IMT Toulouse, at Loughborough University, and at Università Roma 3. Even before, I got my PhD in 2017 at the University of Warwick, with Miles Reid as advisor. Broadly speaking I am a Hodge theorist: you can find below an (almost) detailed list of my research interests. For a more detailed CV click here.

Research interests:

• Fano manifolds of K3 and Calabi-Yau type and link with hyperkähler geometry. Explicit constructions of varieties in homogenous varieties and their Hodge theory.

• Explicit construction of surfaces of general type with small pg,K2 and Calabi-Yau quotients in low dimension

• Fano and Calabi-Yau varieties in Weighted Projective Spaces. Explicit birational classification, especially of Q -Fano threefolds. 

Preprints, publications, surveys, etc:

1. Examples of non-rigid, modular vector bundles on hyperkähler manifolds. [arXiv:2302.09025]

2. Topics on Fano varieties of K3 type, to appear in Proceedings of Nottingham Algebraic Geometry Seminar.  [arXiv:2206.06204]

3. Hilbert squares of degeneracy loci, with Francesco Meazzini, Giovanni Mongardi and Andrea Ricolfi, Rendiconti del Circolo Matematico di Palermo Series 2, in press [arXiv:2204.00437,journal]

4. Fano fourfolds of K3 type, with Marcello Bernardara, Laurent Manivel and Fabio Tanturri [arXiv:2111.13030]

5. The generalized roof F(1,2,n): Hodge structures and derived categories, with Michał Kapustka, Giovanni Mongardi and Marco Rampazzo, Algebras and Representation theory, in press [arXiv:2110.10475, journal]

6. Polyvector fields for Fano 3-folds, with Pieter Belmans and Fabio Tanturri, [arXiv:2104.07626] 

7. Fano 3-folds from homogeneous vector bundles over Grassmannians, with Lorenzo De Biase and Fabio Tanturri,  Revista Matemática Complutense, 35, 649-710 (2022). [arXiv:2009.13382, journal] [Fanography/BigTable] 

8. A journey from the octonionic P^2 to a fake P^2, with Lev Borisov and Anders Buch, Proc. Am. Math. Soc., Volume 150, Number 4, April 2022, Pages 1467–1475.[arXiv:2008.09731, journal]  

9. New explicit constructions of surfaces of general type, with Lev Borisov, [arXiv:2004.02637]

10. Nested varieties of K3 type, with Marcello Bernardara and Laurent Manivel,  Journal de l'École polytechnique-Mathématiques (JEP), Tome 8 (2021) , pp. 733-778.[arXiv:1912.03144, journal] 

11. Fano varieties of K3 type and IHS manifolds, with Giovanni Mongardi, Int. Math. Res. Not. (IMRN), Volume 2021, Issue 4, February 2021, Pages 3097–3142 [arXiv:1904.05679, journal] 

12. Surfaces of general type with p_g=1, q=0, K^2=6 and Grassmannians, Math. Nachr. 293 (2020), no. 1 , Pages 88-100 [arXiv:1802.04643,journal] 

13. A note on a Griffiths-type ring for complete intersections in Grassmannians, with Giovanni Mongardi, Math. Z. 299, 1651–1672 (2021). [arXiv:1801.09586, journal] 

14. Hodge numbers and deformations of Fano 3-folds, with Gavin Brown, Documenta Mathematica 25, 267-307 (2020) [arXiv:1707.00653, journal]

15. Weighted Fano varieties and infinitesimal Torelli problem, with Luca Rizzi and Francesco Zucconi,  Journal of Geometry and Physics, Volume 139, May 2019, Pages 1-16. [arXiv:1611.05355, journal]

16. Hodge Theory and deformations of affine cones of subcanonical projective varieties, with Carmelo Di Natale and Domenico Fiorenza, J. London Math. Soc., 96 (3): 524–544 (2017). [arXiv:1512.00835, journal]

 Useful links:

• Homepage istituzionale. 

• Seminario di Algebra&Geometria (Bologna), Seminario di Algebra&Geometria (Sapienza).

• Online AG seminars I (try to) follow: Derived, Nottingham, ZAG, Mathseminars.

• Recorded online seminars: ZAG (06/21), Nottingham (11/20), Simons Conference (09/20).  

• Databases: grdb, fanography, fanosearch, superficie, grassmannian.

• GNSAGA, gecogedi.

• ANR FanoHK, Abram Gannibal, COW, CALF EmSG, GAeL, GLEN, BrAG,3CinG, Warwick.

• Online computer algebra: Macaulay2, Magma.

• arXiv, researchgate, mathoverflow, mathgenealogy, scopus, orcid .

• Giap, w.a.s.t.e., km497.