Research interests
K3 surfaces and their moduli spaces
Hyperkähler manifolds and modular (or atomic) vector bundles
Fano manifolds and classification of Fano fourfolds
In my research, I frequently work with (homogeneous) vector bundles, homogeneous varieties, and Fano varieties. Additionally, I make regular use of computer algebra software, such as Macaulay2, to support my work.
I have developed a Macaulay2 package called CohomologyZeroLociInHomogeneousVarieties, which at the moment is able to compute lots of numerical invariants (such as Hodge numbers and Hochschild numbers) of zero loci of homogeneous vector bundles in homogeneous varieties.
Pubblications and Preprints
Modular vector bundles on hyperkähler manifolds of Debarre-Voisin type, with F. Tufo, arXiv:2502.18360.
On Brauer groups of known Enriques manifolds, with F. Rizzo, F. Tufo and M. Verni, arXiv:2605.05450.
Spinorial Fano manifolds, with L. Manivel, arXiv:2605.28712.
Prime Fano fourfolds in classical and generalized Grassmannians, arXiv:2609.09310.