Research

Papers and Preprints

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

   arXiv:2303.02526 (2023)
   submitted



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

   Journal of the London Mathematical Society (to appear)
   arXiv:2301.05904
   

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 Varchenko-Gel'fand Ring of a Cone

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

6. 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
   

7. 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/
   

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

   Order (2021)
   journal version, arXiv:1906.00036
   

9. 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