I am a postdoc instructor at Princeton University. Previously, I was a postdoctoral fellow at SLMath (Spring 2024) and a member at the IAS (Fall 2023). Before that, I was a graduate student at Cornell University advised by Daniel Halpern-Leistner.
My research is in algebraic geometry. I am interested in derived categories, geometric invariant theory, noncommutative geometry, and moduli theory.
research
Papers:
The Fano of lines, the Kuznetsov component, and a flop, joint with Ed Segal, arXiv
In this article, we prove Galkin's conjecture for cubic fourfolds.
Non-existence of phantoms on some non-generic blowups of the projective plane, joint with Lev Borisov, arXiv
Here, we show that phantoms do not appear in the derived category of the blowup of the projective plane at a finite number of points lying on a smooth cubic curve. We also posit a conjecture for an obstruction to the existence of phantoms on surfaces.
Full exceptional collections of vector bundles on rank-two linear GIT quotients, joint with Daniel Halpern-Leistner, arXiv
In this project, we produce a large class of linear GIT quotients by a reductive group of rank two that admit a “full strong exceptional collection” consisting of vector bundles.
talk notes
Full exceptional collections and window categories
Workshop in Non-commutative algebraic geometry, SLMath Spring 2024 (Video). IAS postdoc short talk (Video). Fields Medal Symposium, Fields Institute (Video). Derived categories and moduli spaces FRG workshop, Cornell University (Notes, Video).
Semi-orthogonal decompositions and geometry
A general audience short talk illustrating the landscape of decompositions of derived categories, SLMath Spring 2024 (Slides).
notes
Here are notes from a class on homological algebra taught in Spring 2018 by Yuri Berest. (Notes typed with Yun Liu).
