Alexander Perry
School of Mathematics
Institute for Advanced Study
Email: aperry@math.columbia.edu
Office: 105 Building A, IAS



About
I am a member at the Institute for Advanced Study.
Previously, I was an NSF postdoc at Columbia and a graduate student at Harvard.
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 DMS1902060.
Curriculum Vitae
Papers

The integral Hodge conjecture for twodimensional CalabiYau categories.
Preprint.

Stability conditions and moduli spaces for Kuznetsov components of GushelMukai varieties
(with L. Pertusi and X. Zhao).
Preprint.

Stability conditions in families
(with A. Bayer, M. Lahoz, E. Macrì, H. Nuer, and P. Stellari).
Preprint.

Homological projective duality for quadrics
(with A. Kuznetsov).
To appear in J. Algebraic Geom.

Categorical cones and quadratic homological projective duality
(with A. Kuznetsov).
Preprint.

Categorical joins
(with A. Kuznetsov).
Preprint.

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

Hochschild cohomology and group actions.
Preprint.

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