Kimoi Kemboi


E-mail: sjk269 at cornell dot edu

I am a postdoctoral fellow at MSRI (now SLMath). Starting Fall 2024, I will be a postdoctoral instructor at Princeton University. Previously, I was a member at the IAS; before that, I was a grad 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:

  • 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
  • Semi-orthogonal decompositions and geometry



    notes

  • Here are notes from a class on homological algebra taught in Spring 2018 by Yuri Berest. (Notes typed with Yun Liu).



  • teaching

  • No teaching Spring 2024