Alessio Bottini

I am a postdoc at the University of Bonn, working in the group of Daniel Huybrechts. I received my Ph.D. in November 2023 from Université Paris-Saclay and Tor Vergata University under the supervision of Emanuele Macrì and Antonio Rapagnetta. Here is my CV.

I am broadly interested in the applications of homological algebra to algebraic geometry. Currently, I study sheaves on hyper-Kähler manifolds and their moduli spaces.

Publications and preprints:

  • Derived categories of Fano varieties of lines (with D. Huybrechts).
    Preprint (2025). [arXiv]
  • O'Grady's tenfolds from stable bundles on hyper-Kähler fourfolds.
    Preprint (2024). [arXiv]
  • Towards a modular construction of OG10.
    Compositio Mathematica, 160 (2024). [arXiv] [Journal]
  • Stable sheaves on K3 surfaces via wall-crossing.
    Kyoto Journal of Mathematics, 64(2) (2024). [arXiv] [Journal]

Other writing:

  • The Looijenga–Lunts–Verbitsky Algebra and Verbitsky's Theorem.
    Milan Journal of Mathematics, 90 (2022) [Journal]
  • A modular construction of OG10
    Oberwolfach reports, (2024) [Link]
  • Stable sheaves on hyper-Kähler manifolds.
    PhD Thesis (2023). [Link]