Department of Mathematics
Office: 600 Mathematics
I am an NSF postdoc at Columbia, working in algebraic geometry.
Previously, I was a graduate student at Harvard.
I co-organize the Columbia Algebraic Geometry Seminar.
Stability conditions in families
(with A. Bayer, M. Lahoz, E. Macrì, H. Nuer, and P. Stellari).
In preparation. See Arend's Oberwolfach report for a summary
of our results.
(with A. Kuznetsov).
Noncommutative homological projective duality.
Hochschild cohomology and group actions.
Intersections of two Grassmannians in P9
(with L. Borisov and A. Căldăraru). To appear in
J. Reine Angew. Math. (2018).
Rationality does not specialize among terminal fourfolds.
Algebra Number Theory 11 (2017), no. 9, 2193-2196.
Derived categories of Gushel-Mukai varieties
(with A. Kuznetsov). Compos. Math. 154 (2018), no. 7, 1362-1406.
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), 13-28.
Derived categories of cyclic covers and their branch divisors
(with A. Kuznetsov). Selecta Math. (N.S.) 23 (2017), no. 1, 389-423.
Faithfully flat descent for projectivity of modules. Preprint.
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, 288-303.
A conjecture of Evans on sums of Kloosterman sums
(with E. Dummit and A. Goldberg).
Proc. Amer. Math. Soc. 138 (2010), no. 9, 3047-3056.
I am teaching a course on algebraic curves in Fall 2018.