Saket Shah

I am currently a graduate student at the University of Michigan advised by Alex Perry. Before this, I was an undergraduate student at Princeton.

Curriculum Vitae

I am mainly interested in algebraic geometry, especially in derived categories, semiorthogonal decompositions, and their connections to more classical constructions in algebraic geometry. I am particularly interested in low degree Fano (e.g. del Pezzo varieties, especially cubics and intersections of two quadrics) and some CY varieties (e.g. hyperkählers).

Papers

• Semiorthogonal decompositions and components of derived categories of orthogonal Grassmannian fibrations. Preprint.
• Twisted Arinkin transforms and derived categories of moduli spaces on Kuznetsov components (with M. Hartlieb). Preprint.
• Flips for spaces of quadrics on del Pezzo varieties. Preprint.
• Stability conditions on crepant resolutions of quotients of product varieties (with A. Perry). To appear in Algebr. Geom.
• On decompositions for Fano schemes of intersections of two quadrics (with P. Belmans, J. Bose, S. Frei, B. Gould, J. Hotchkiss, A. Lamarche, J. Petok, C. Rodriguez Avila). Adv. Math. 480 (2025), part C, Paper No. 110506, 32 pp.