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 and families of hyperkähler varieties
(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).
J. Reine Angew. Math. (to appear).
Rationality does not specialize among terminal fourfolds.
Algebra Number Theory (to appear).
Derived categories of Gushel-Mukai varieties
(with A. Kuznetsov). Compositio Mathematica (to appear).
Rational points on twisted K3 surfaces and derived equivalences
(with K. Ascher, K. Dasaratha, and R. Zhou). Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic,
Progress in Mathematics, Vol. 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.