About
I work in algebraic geometry, with a focus on derived categories, birational geometry, CalabiYau and hyperkähler varieties, and Hodge theory.
My research is partially supported by NSF grant DMS2112747.
Curriculum Vitae
Seminars
Papers

Serre functors and dimensions of residual categories (with A. Kuznetsov).
Preprint.

The integral Hodge conjecture for twodimensional CalabiYau categories.
To appear in Compos. Math.

Stability conditions and moduli spaces for Kuznetsov components of GushelMukai varieties
(with L. Pertusi and X. Zhao).
To appear in Geom. Topol.

Stability conditions in families
(with A. Bayer, M. Lahoz, E. Macrì, H. Nuer, and P. Stellari).
Publ. Math. Inst. Hautes Études Sci.
133 (2021), 157325.

Homological projective duality for quadrics
(with A. Kuznetsov).
J. Algebraic Geom.
30 (2021), no. 3, 457476.

Categorical cones and quadratic homological projective duality
(with A. Kuznetsov).
To appear in Ann. Sci. Éc. Norm. Supér.

Categorical joins
(with A. Kuznetsov).
J. Amer. Math. Soc.
34 (2021), no. 2, 505564.

Noncommutative homological projective duality.
Adv. Math. 350 (2019), 877972.

Hochschild cohomology and group actions.
Math. Z. 297 (2021), no. 34, 12731292.

Intersections of two Grassmannians in P^{9}
(with L. Borisov and A. Căldăraru).
J. Reine Angew. Math. 760 (2020), 133162.

Rationality does not specialize among terminal fourfolds.
Algebra Number Theory 11 (2017), no. 9, 21932196.

Derived categories of GushelMukai varieties
(with A. Kuznetsov). Compos. Math. 154 (2018), no. 7, 13621406.

Rational points on twisted K3 surfaces and derived equivalences
(with K. Ascher, K. Dasaratha, and R. Zhou). Brauer Groups and Obstruction Problems,
Progr. Math. 320 (2017), 1328.

Derived categories of cyclic covers and their branch divisors
(with A. Kuznetsov). Selecta Math. (N.S.) 23 (2017), no. 1, 389423.

Faithfully flat descent for projectivity of modules. Preprint.
Version also
available
at the Stacks Project.

Resolving toric varieties with Nash blowups
(with A. Atanasov, C. Lopez, N. Proudfoot, and M. Thaddeus).
Exp. Math. 20 (2011), no. 3, 288303.

A conjecture of Evans on sums of Kloosterman sums
(with E. Dummit and A. Goldberg).
Proc. Amer. Math. Soc. 138 (2010), no. 9, 30473056.
Other writing
Teaching