News: 

• Topics on Fano varieties: preliminary version (updated 4/24), with many typos, inaccuracies and so on (and only halfway done). Use  them at your own risk!

• Where I'll be: Upcoming trips. 

• To-be-read list - which papers I would like to read (but will most likely fail to).

• 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. I’m an algebraic geometer, and I enjoy working with explicit constructions and equations - especially when they’re driven by ideas from representation theory. In the past few years, my work has revolved mostly around Fano varieties and hyperkähler manifolds. Below is an (almost) detailed list of the things that have been keeping me busy. For a more detailed CV click here.

Research interests:

• Fano varieties in Grassmannians and other homogeneous varieties, and their classification.

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

• Vector bundles on hyperkähler manifolds and their moduli.

• 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. Weighted four-dimensional Fano hypersurfaces of K3 type, with Valeria Bertini, Francesco Antonio Denisi and Annalisa Grossi. [arXiv:2506.18014] 

2. Higher discriminants of vector bundles and Schur functors, with Alessandro D'Andrea and Claudio Onorati. [arXiv:2503.15365]

3. K3 structures from singular Fano varieties, to appear in ZAG handbook of modern algebraic geometry. [arXiv:2501.16062] 

4. Modular vector bundles with and without moduli, with Claudio Onorati. [arXiv:2409.12821]

5. On the geometry of some quiver zero loci Fano fourfolds, with Fabio Tanturri and Federico Tufo. [arXiv:2406.04389]

6. Even nodal surfaces of K3 type, with Marcello Bernardara, Grzegorz Kapustka, Michał Kapustka, Laurent Manivel, Giovanni Mongardi and Fabio Tanturri. [arXiv:2402.08528] 

7. Examples of non-rigid, modular vector bundles on hyperkähler manifolds, Int. Math. Res. Not. (IMRN), Volume 2024, Issue 10, May 2024, Pages 8782–8793. [arXiv:2302.09025, journal] 

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

9. Hilbert squares of degeneracy loci, with Francesco Meazzini, Giovanni Mongardi and Andrea Ricolfi, Rendiconti del Circolo Matematico di Palermo Series 2, Rend. Circ. Mat. Palermo, II. Ser 72, 3153–3183 (2023).  [arXiv:2204.00437,journal]

10. Fano fourfolds of K3 type, with Marcello Bernardara, Laurent Manivel and Fabio Tanturri, to appear in Ann. Inst. Fourier (Grenoble). [arXiv:2111.13030]

11. 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]

12. Polyvector fields for Fano 3-folds, with Pieter Belmans and Fabio Tanturri,  Math. Z. 304, 12 (2023) [arXiv:2104.07626,  journal] 

13. 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] 

14. 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]  

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

16. 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] 

17. 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] 

18. 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] 

19. 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] 

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

21. 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]

22. 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).

• Recorded seminars: BIRS (09/23), 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.

• (Old) online AG seminars: Derived, Nottingham, ZAG, Mathseminars.

• Online computer algebra: Macaulay2, Magma.

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

• Làbas, giap, w.a.s.t.e., km497.