I am an algebraic geometry whose research focuses on Hodge theory and algebraic cycles. As of late, my work has focused on K3 surfaces, abelian varieties, and hyperkähler manifolds and the geometry of their associated moduli spaces.
Peskine sixfolds and Debarre-Voisin fourfolds with associated cubic fourfolds (2025) (with C. Brooke, S. Frei, L. Marquand)
Extremal divisors on moduli spaces of K3 surfaces (2025) (with I. Barros, R. Zuffetti), Associated Sage Code, README
Equivariant Kuznetsov components for cubic fourfolds with a symplectic involution (2025) (with S. Frei, L. Marquand)
Cones of Noether-Lefschetz divisors and moduli spaces of hyperkähler manifolds (2024) (with I. Barros, P. Beri, B. Williams)
The geometry of antisymplectic involutions, II (2023) (with E. Macrì, K. O'Grady, G. Saccà)
Kodaira dimension of moduli spaces of hyperkähler varieties (2023) (with I. Barros, P. Beri, E. Brakkee) to appear in Algebraic Geometry
On product identities and the Chow ring of holomorphic symplectic varieties (with I. Barros, A. Marian, R. Silversmith), Selecta Mathematica 28.2 (2022), 1-29
Complete families of indecomposable non-simple abelian varieties, Mathematische Annalen 382.1 (2022), 255-283
The geometry of antisymplectic involutions, I (with E. Macrì, K. O'Grady, G. Saccà), Mathematische Zeitschrift (2021), 1-39
Geometry of Schreieder's varieties and some elliptic and K3 moduli, Manuscripta Math. 162, (2020), 403-439
Monodromy of Kodaira fibrations of genus 3, Mathematische Nachrichtenten 295 (2022), 2130-2146
Period integrals and Hodge modules (2019) (with R. Walters and X. Zhao)
Chow motives attached to certain algebraic Hecke characters (with J. Lang), Trans. Amer. Math. Soc. Ser. B 5 (2018), 102-124
Hodge groups of Hodge structures with Hodge numbers (n,0,...,0,n), PhD thesis, UCLA (2017)