Research

I am interested in algebraic combinatorics, especially problems related to hyperplane arrangements, (oriented) matroids, posets, and related fields.

    • Google Scholar Profile
    • ArXiv Preprints

Papers and Preprints

  1. The geometry of zonotopal algebras I (cohomology of graphical configuration spaces), with Colin Crowley, André Henriques, and Nick Proudfoot
    link to pdf
  2. A Three-Regime Theorem for Flow-Firing, with Sarah Brauner, Selvi Kara, Caroline Klivans, and Lisa Schneider
    arXiv:2303.02526 (2023) submitted

  3. Equivariant cohomology and conditional oriented matroids, with Nicholas Proudfoot and Jidong Wang
    International Math Research Notices (2024)
    journal version, arXiv:2208.04855
  4. Shi Arrangements Restricted to Weyl Cones, with Christian Stump
    Annals of Combinatorics (2024)
    journal version, arXiv:2204.05829
  5. The Poincaré-Extended ab-index (FPSAC Version), with Joshua Maglione and Christian Stump
    Séminaire Lotharingien de Combinatoire (2024)
    journal version,
  6. The Poincaré-Extended ab-index, with Joshua Maglione and Christian Stump
    Journal of the London Mathematical Society (2024)
    journal version, arXiv:2301.05904
  7. The Varchenko-Gel'fand Ring of a Cone
    Journal of Algebra (2023)
    journal version, arXiv:2104.02740/
  8. Filtering cohomology of ordinary and Lagrangian Grassmannians, with Vic Reiner and the students of the Polymath Jr. REU
    Involve (2022)
    journal version, arXiv:2011.03179
  9. A positivity phenomenon in Elser's Gaussian-cluster percolation model, with Cyrus Hettle, David C. Livingston, Jeremy L. Martin, George Nasr, Julianne Vega, and Hays Whitlatch
    Journal of Combinatorial Theory A (2021)
    journal version, arXiv:1905.11330/
  10. Whitney Numbers for Poset Cones, with Jang Soo Kim and Vic Reiner
    Order (2021)
    journal version, arXiv:1906.00036
  11. Enumerating Parking Completions Using Join and Split, with Ayomikun Adeniran, Steve Butler, Pamela E. Harris, Cyrus Hettle, Qingzhong Liang, Jeremy L. Martin, and Hayan Nam
    Electronic Journal of Combinatorics (2020)
    journal version, arXiv:1912.01688

Theses