Pietro Beri
Postdoctoral fellow in mathematics
Contacts:
Université Paris Cité – Campus des Grands Moulins
Bâtiment Sophie Germain (PRG)
8 Place Aurélie Nemours - 75205 PARIS
Email: beri@imj-prg.fr
About me
I am currently a postdoc in Institut de Mathématiques de Jussieu-Paris Rive Gauche (IMJ-PRG), Université de Paris, funded by the ERC Synergy Grant HyperK, mentored by Olivier Debarre .
Previously I was ATER (teaching and research assistant) at the Institut de mathématiques de Toulouse, Université Paul Sabatier.
I obtained my PhD in Mathematics at Université de Poitiers in october 2020 under the supervision of Alessandra Sarti. Click here for a detailed CV. For a french version click here .
Research interest
My research field is complex algebraic geometry. More precisely, I work on Hyper-Kähler manifolds, in particular:
Moduli spaces, their Kodaira dimension, their divisors, moduli spaces of Hyper-Kähler manifolds with an involution, rational maps between them;
linear systems, base locus and image;
biregular and birational automorphism, classification and geometric description;
birational geometry, birational model of Hyper-Kähler manifolds, MMP;
locally complete families of Hyper-Kähler manifolds;
double EPW sextics and their link with Gushel-Mukai varieties;
cohomology of Hyper-Kähler manifolds.
Preprints and publications
With Alberto Cattaneo, "On birational transformations of Hilbert schemes of points on K3 surfaces" Mathematische Zeitschrift 301.2 (2022): 1537-1554, arxiv.org/abs/2005.05187 .
"EPW sextics associated to K3 surfaces", https://arxiv.org/abs/2011.12223 .
With Olivier Debarre, "On the Hodge and Betti numbers of hyper-Kähler manifolds", Milan Journal of Mathematics (2022): 1-15, Betti.pdf .
With Laurent Manivel, "A birational involution", submitted, https://arxiv.org/abs/2211.12866
With Ignacio Barros, Emma Brakkee, Laure Flapan, "Kodaira dimension of moduli spaces of hyperkähler varieties", submitted, arxiv.org/abs/2212.12586 .
With Ignacio Barros, Laure Flapan, Brandon Williams, "Cones of Noether-Lefschetz divisors and moduli spaces of hyperkähler manifolds", submitted, https://arxiv.org/abs/2407.07622 .