Kimoi Kemboi

E-mail: kimoi at princeton dot edu
Office: Fine Hall 1107

I am an Instructor in Mathematics at Princeton University. In Spring 2024, I was a postdoc fellow at MSRI, and in Fall 2023, I was a member at the IAS. 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.
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, Proc. Amer. Math. Soc. 153 (2025) 963-968.
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, Advances (to appear).
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 using the methods of window categories.