Pietro Beri

About me 

I am currently a postdoc at the Université de Lorraine/Goethe Universität Frankfurt, funded by the ANR-DFG POK0, mentored by Gianluca Pacienza  and Alex Küronya .

Previously, I was 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 .

Before 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.

Research interest

My research field is complex algebraic geometry. More precisely, I work mostly on Hyper-Kähler manifolds and their interplay with other geometric objects, in particular: 

• Moduli spaces, Kodaira dimension, cones of divisors, relations with modular forms;  

• Extrinsic geometry, linear systems, Fujita's Conjecture, projective models;

• birational geometry, biregular and birational automorphism, birational models, MMP;

• locally complete families of Hyper-Kähler manifolds, such as EPW sextics, and their relation with Fano varieties;

• cohomology of Hyper-Kähler manifolds.

Preprints and publications

1. With Laurent Manivel, "More birational involutions", submitted, https://arxiv.org/abs/2509.10130 (2025).

2. With Daniele Agostini, Franco Giovenzana, Ángel David Ríos Ortiz, "Coble duality for Jacobian Kummer fourfolds", submitted, https://arxiv.org/abs/2505.14490 (2025).

3. With Giovanni Mongardi and Gianluca Pacienza, "On the Zariski density of rational curves on IHS manifolds", to appear in the Int. Math. Res. Not., https://arxiv.org/abs/2502.09349.

4. "Double EPW sextics associated to Gushel-Mukai surfaces", Proceedings of the Royal Society of Edinburgh Section A Mathematics, (2024): 1-22, https://arxiv.org/abs/2011.12223.

5. 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.

6. With Ignacio Barros, Emma Brakkee, Laure Flapan, "Kodaira dimension of moduli spaces of hyperkähler varieties", to be published in Algebraic Geometry, arxiv.org/abs/2212.12586.

7. With Laurent Manivel, "A birational involution", submitted, https://arxiv.org/abs/2211.12866.

8. With Olivier Debarre, "On the Hodge and Betti numbers of hyper-Kähler manifolds", Milan Journal of Mathematics (2022): 1-15, Betti.pdf.

9. 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.

DOI: 0000-0001-6481-3762