Mathematical Institute of the University of Bonn

Alberto Cattaneo

Since September 2019, I am a Postdoc at the Hausdorff Center for Mathematics in Bonn, working with Georg Oberdieck. I am part of the Complex Geometry group led by Daniel Huybrechts.

Previously, I was a Riemann fellow at the Institute of Algebraic Geometry in Hannover and a postdoctoral fellow at the Max Planck Institute for Mathematics in Bonn. I completed my PhD in December 2018 under the joint supervision of Alessandra Sarti (Université de Poitiers) and Bert van Geemen (Università degli Studi di Milano).

Contact

Teaching

Wintersemester 2020/21: Selected Topics in Algebraic Geometry - Toric Varieties (V5A4)

Research interests

Complex algebraic geometry, in particular K3 surfaces and irreducible holomorphic symplectic manifolds: automorphisms and related moduli spaces, stability conditions, K-equivalence/D-equivalence.

Papers and preprints

• Automorphisms of Hilbert schemes of points on a generic projective K3 surface
  Mathematische Nachrichten 292 (2019), 2137–2152.
• Non-symplectic automorphisms of odd prime order on manifolds of K3^[n]-type (with C. Camere)
  manuscripta math. 163, 299–342 (2020).
• Non-symplectic involutions on manifolds of K3^[n]-type (with C. Camere and An. Cattaneo)
  Nagoya Mathematical Journal (2020).
• On the Chow ring of certain Lehn–Lehn-Sorger–van Straten eightfolds (with C. Camere and R. Laterveer)
  Glasgow Mathematical Journal (2021).
• Prime order isometries of unimodular lattices and automorphisms of IHS manifolds (with S. Brandhorst)
  Preprint (2020).
• On birational transformations of Hilbert schemes of points on K3 surfaces (with P. Beri)
  Preprint (2020).

PhD Thesis: Non-symplectic automorphisms of irreducible holomorphic symplectic manifolds