Research
Papers and Preprints:
- A framework for Tate modules of abelian varieties under isogeny
With Katrina Honigs, and John Voight.
Essent. Number Theory, to appear.
- Equivariant Kuznetsov components for cubic fourfolds with a symplectic involution
With Laure Flapan, and Lisa Marquand.
Submitted.
- Cubic fourfolds with birational Fano varieties of lines
With Corey Brooke, and Lisa Marquand.
Submitted.
- Birational geometry of Fano varieties of lines on cubic fourfolds containing pairs of cubic scrolls
With Corey Brooke, Lisa Marquand,
and Xuqiang Qin.
Submitted.
- Conic bundle threefolds differing by a constant Brauer class and connections to rationality
With Lena Ji, Soumya Sankar,
Bianca Viray, and Isabel Vogt.
Submitted.
- On decompositions for Fano schemes of intersections of two quadrics
With Pieter Belmans, Jishnu Bose,
Benjamin Gould, James Hotchkiss,
Alicia Lamarche, Jack Petok,
Cristian Rodriguez Avila, and
Saket Shah.
Adv. Math., to appear.
- Rationality of threefolds over non-closed fields
These are survey notes written for a lecture series I gave at the Notre Dame 2023 Thematic Program on Rationality and Hyperbolicity.
- On abelian varieties whose torsion is not self-dual
With Katrina Honigs, and John Voight.
Proc. Amer. Math. Soc., to appear.
- A threefold violating a local-to-global principle for rationality
With Lena Ji.
Res. Number Theory, 10(2): 39, 2024.
- Groups of symplectic involutions on symplectic varieties of Kummer type and their fixed loci
With Katrina Honigs.
Forum Math. Sigma, 11:e40 1-35, 2023.
- Curve classes on conic bundle threefolds and applications to rationality
With Lena Ji, Soumya Sankar,
Bianca Viray, and Isabel Vogt.
Algebr. Geom., 11(3): 421-459, 2024.
- Reduction of Brauer classes on K3 surfaces, rationality, and derived equivalence
With Brendan Hassett, and Anthony Várilly-Alvarado.
J. reine angew. Math. (Crelle), 792: 289–305, 2022.
- Rational points and derived equivalence
With Nicolas Addington, Benjamin Antieau, and Katrina Honigs.
Compositio Math., 157(5): 1036–1050, 2021.
- Moduli spaces of sheaves on K3 surfaces and Galois representations
Selecta Math. (N.S.), 26(1): 1-16, 2020.
- The a-number of hyperelliptic curves
Women in Numbers Europe II, Springer, 107-116, 2018.
Other Writing:
Theses: