- 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.

Submitted. - 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.

- 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.

- University of Oregon AWM Chapter: Creation and Evolution.

With Elisa Bellah, Leanne Merrill, and Kelly Pohland.

*Fifty Years of Women in Mathematics: Reminiscences, History, and Visions for the Future of AWM*, to appear.

- Moduli spaces of sheaves on K3 surfaces and Galois representations

My Ph.D. thesis, advised by Nicolas Addington. A longer version of the paper above by the same name, with background. - The a-number of hyperelliptic curves

My Master's thesis, advised by Rachel Pries. A longer version of the paper above by the same name, with background.

- In Oct 2021 I spoke at the AGNES Showcase on the Reduction of Brauer classes on K3 surfaces. You can find a recording of my talk on the AGNES website (although the first couple of minutes of the talk did not get recorded).
- In Aug 2021 I spoke at the PRIMA 2021 Summer School on Brauer classes in moduli problems and arithmetic. You can find lecture videos (given by me and Nicolas Addington) and exercises there.
- In Nov 2019 I spoke at BIRS on Rational points and derived equivalence. You can find the recording of my talk on the workshop page.
- Here are slides from a talk I gave at the Arithmetic of Algebraic Curves Conference at the University of Wisconsin, Madison.
- Here is a poster I presented at the Fall 2017 Western Algebraic Geometry Symposium in Los Angeles, CA.