Publications

My research is mainly focused on K3 surfaces, mirror symmetry, Hyperkähler manifolds, Hilbert scheme of points, and K-stability.

Publications and preprints:

• A counterexample to the parity conjecture, joint with Franco Giovenzana, Michele Graffeo, and Paolo Lella. arXiv:2305.18191, 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

• Symplectic rigidity of O'Grady's tenfolds, joint with Annalisa Grossi, Davide Cesare Veniani and Claudio Onorati. arXiv:2206.11594, accepted for publication 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

• The perfect cone compactification of quotients of type IV domains. arXiv:1904.08638. https://doi.org/10.1007/s00229-021-01356-w