About me
Research
My research focuses on Algebraic Geometry, in particular, Resolution of singularities, classical Birational Geometry and Representation Theory are the areas I deal with the most. I am particularly interested in Hilbert schemes and, more generally, in the moduli spaces of coherent sheaves on algebraic varieties.
I am also very interested in McKay correspondence, Minimal Model Program, positivity in Algebraic Geometry and Derived Categories.
To appear and published
A counterexample to the parity conjecture , with Franco Giovenzana , Luca Giovenzana and Paolo Lella . Algebraic Geometry, 12 (2025), no. 2, 173–188.
Unexpected but recurrent phenomena for Quot and Hilbert schemes of points , with Franco Giovenzana , Luca Giovenzana and Paolo Lella . Rendiconti del Seminario Matematico - Politecnico di Torino, 82 (2024),
no. 1, 145–170.
5d Conformal Matter , with Mario De Marco , Michele Del Zotto , Andrea Sangiovanni . JHEP, Volume 2024, article number 306, (2024).
The geometry of double nested Hilbert schemes of points on curves , with Paolo Lella , Sergej Monavari , Andrea T. Ricolfi and Alessio Sammartano . To Appear in TAMS.
Moduli spaces of ℤ/kℤ-constellations over 𝔸2 . Communications in Contemporary Mathematics, 27 (2025), no. 03, 2450019.
Growth and integrability of some birational maps in dimension
three , with Giorgio Gubbiotti. Annales Henri Poincaré, 13 July 2023.
On the Behrend function and the blowup of some fat points , with Andrea T. Ricolfi . Advances in Mathematics, Volume 415 (2023), 108896.
Preprints
New components of Hilbert schemes of points and 2-step ideals , with Franco Giovenzana , Luca Giovenzana and Paolo Lella .
Invariants of nested Hilbert and Quot Schemes on surfaces , with Nadir Fasola , Danilo Lewański and Andrea T. Ricolfi .
Enumeration of partitions via socle reduction , with Sergej Monavari , Riccardo Moschetti and Andrea T. Ricolfi .
The Painlevé equivalence problem for a constrained 3D system , with Galina Filipuk, Giorgio Gubbiotti and Alexander Stokes
The motive of the Hilbert scheme of points in all dimensions , with Sergej Monavari , Riccardo Moschetti and Andrea T. Ricolfi .
Teaching
Events organisation
TULSF IX A meeting in Algebraic Geometry SISSA , Trieste, 7 November 2024.
Co-organised with U. Bruzzo , E. Pavia .
WAGP24 ALGEBRO-GEOMETRIC TECHNIQUES FOR PHYSICS:
BUNDLES, STACKS AND SUPERGEOMETRY A celebration of Daniel Hernández Ruipérez’s 70th Birthday IGAP , Trieste, 3-7 June 2024.
Co-organised with U. Bruzzo , B. Graña Otero , D. Hernandez Serrano, D. Sánchez Gómez.
The G eometry of Hi lbert S chemes of P oints CIRM, Levico Terme, 6-10 May 2024.
Co-organised with Paolo Lella , Sergej Monavari , Andrea T. Ricolfi and Alessio Sammartano .
It's Better To Visualize It (
) is a software made in
image/svg+xml
by me. It allows to visualize plane partitions and to edit them via simple clicks.
Here you find a sample online version. You also find a
image/svg+xml
version, a
image/svg+xml
version and an
image/svg+xml
Android1
Android1
version. IBTVI is also available on Google Play
Interests and hobbies
Music, politics and chess.