Collected here is the writing that I have done over the various years.

Publications and Preprints

  1. Derived Categories of Quartic Double Fivefolds,
    In preparation.
  2. Higher Cycle Operations and a Unipotent Torelli Theorem for Graphs,
    with Eric Katz.
  3. Combinatorial aspects of the quantized universal enveloping algebra of \(\mathfrak{sl}_{n+1}\)
    Ann. Comb. 22 (2018), no. 4, 681–710.


  1. This is a draft of an exposition of Kollár’s proof of the projectivity of the moduli space of stable curves. This was started at the Stacks Project Workshop during August of 2017 together with Yordanka Kovacheva, Carl Lian, Monica Marinescu, and Takumi Murayama, with guidance from Davesh Maulik. The source code for this project is available here.