Research

Papers and Preprints

1. The Ehrhart polynomial of a matroid specializes to the beta invariant, with Anastasia Chavez, Luis Ferroni, Fu Liu, Felipe Rincón, Andrés R. Vindas-Meléndez

   arXiv:2504.15518 (2025)

2. The geometry of zonotopal algebras I (cohomology of graphical configuration spaces), with Colin Crowley, André Henriques, and Nick Proudfoot

   link to pdf arXiv:2502.12768 (2025)



3. A Three-Regime Theorem for Flow-Firing, with Sarah Brauner, Selvi Kara, Caroline Klivans, and Lisa Schneider
   

   Electronic Journal of Combinatorics (2025)
   journal version, arXiv:2303.02526
   

4. Equivariant cohomology and conditional oriented matroids, with Nicholas Proudfoot and Jidong Wang
   

   International Math Research Notices (2024)
   journal version, arXiv:2208.04855
   

5. Shi Arrangements Restricted to Weyl Cones, with Christian Stump
   

   Annals of Combinatorics (2024)
   journal version, arXiv:2204.05829
   

6. The Poincaré-Extended ab-index (FPSAC Version), with Joshua Maglione and Christian Stump
   

   Séminaire Lotharingien de Combinatoire (2024)
   journal version,

7. The Poincaré-Extended ab-index, with Joshua Maglione and Christian Stump
   

   Journal of the London Mathematical Society (2024)
   journal version, arXiv:2301.05904
   

8. The Varchenko-Gel'fand Ring of a Cone

   Journal of Algebra (2023)
   journal version, arXiv:2104.02740/
   

9. 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
   

10. 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/
    

11. Whitney Numbers for Poset Cones, with Jang Soo Kim and Vic Reiner
    

    Order (2021)
    journal version, arXiv:1906.00036
    

12. 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