My research is mainly focused on K3 surfaces, mirror symmetry, Hyperkähler manifolds, Hilbert scheme of points, and K-stability.
Publications and preprints:
Non-existence of Enriques manifolds from OG10 manifolds, joint with Simone Billi, Franco Giovenzana, and Annalisa Grossi. arXiv:2501.06893
On K-stability of ℙ^3 blown up along a smooth genus 2 curve of degree 5, joint with Tiago Duarte Guerreiro and Nivedita Viswanathan. arXiv:2412.18317
Invariant Stability Conditions on Certain Calabi-Yau Threefolds, joint with Tom Bridgeland, and Fabrizio del Monte, arXiv:2412.08531
Lines, Twisted Cubics on Cubic Fourfolds, and the Monodromy of the Voisin Map, joint with Franco Giovenzana, arXiv:2412.07483
Degenerations and Fibrations of K3 Surfaces: Lattice Polarisations and Mirror Symmetry, joint with Alan Thompson, arXiv:2405.12009
Unexpected but recurrent phenomena for Quot and Hilbert schemes of points, joint with Franco Giovenzana, Michele Graffeo, and Paolo Lella. arXiv:2403.03146, https://seminariomatematico.polito.it/rendiconti/82-1/A9.pdf in Rendiconti del Seminario Matematico - Politecnico di Torino.
A counterexample to the parity conjecture, joint with Franco Giovenzana, Michele Graffeo, and Paolo Lella. arXiv:2305.18191, DOI:10.14231/AG-2025-005 accepted for publication in Algebraic Geometry.
On K-stability of ℙ^3 blown up along a (2,3) complete intersection, joint with Tiago Duarte Guerreiro and Nivedita Viswanathan. arXiv:2304.11420, DOI https://doi.org/10.1112/jlms.12961 in Journal of the London Mathematical Society.
Symplectic rigidity of O'Grady's tenfolds, joint with Annalisa Grossi, Davide Cesare Veniani and Claudio Onorati. arXiv:2206.11594, DOI https://doi.org/10.1090/proc/16810 in Proceedings of the American Mathematical Society.
On the period of Li, Pertusi and Zhao's symplectic variety, joint with Franco Giovenzana and Claudio Onorati. arXiv:2202.13702, DOI https://doi.org/10.4153/S0008414X23000470, in Canadian Journal of Mathematics.
The perfect cone compactification of quotients of type IV domains. arXiv:1904.08638, DOI https://doi.org/10.1007/s00229-021-01356-w in manuscripta mathematica.