Research

Research interests

My main research field are hyperKähler varieties and related topics:

  • Automorphisms and birational maps
  • Lagrangian fibrations, torsors and Brauer groups
  • Moduli spaces of sheaves, derived equivalences
  • Relations with Fano manifolds

Publications and preprints

  1. Obstruction classes for moduli spaces of sheaves and Lagrangian fibrations , with R. Meinsma, arXiv, 2024.
  2. Splitting unramified Brauer classes by abelian torsors and the period-index problem , with D. Huybrechts, arXiv, 2023.
  3. The special Brauer group and twisted Picard varieties, with D. Huybrechts, arXiv, 2023.
  4. Intermediate Jacobian fibration of a cubic fourfold containing a plane and Prym fibrations, arXiv, 2023.
  5. On symplectic birational self-maps of projective hyperkähler manifolds of K3[n]-type, with Y. Dutta and Y. Prieto-Montañez, IMRN, 2024, doi , arXiv.
  6. Moduli spaces of sheaves on Fano threefolds and K3 surfaces of genus 9, to appear in Ann. Inst. Fourier, arXiv, 2021.
  7. Categorical vs Topological entropy of autoequivalences of surfaces , Moscow Mathematical Journal, 2021, doi , arXiv.

Other mathematical writing

  • Notes from the ERC HyperK Seminar (winter 2021): Gushel-Mukai manifolds, with P. Beri, O. Debarre and D. Pirozhkov, pdf
  • PhD thesis (2021): Study of moduli spaces and dynamics of derived categories, pdf
  • Master thesis (M2, 2018): pdf