Research

Preprints

• Tree metrics and log-concavity for matroids
  with Federico Ardila-Mantilla, Sergio Cristancho, Graham Denham, June Huh, and Botong Wang
     arXiv:2601.02547


• Vanishing theorems for combinatorial geometries
  with Alex Fink and Matt Larson
     arXiv:2510.05207


• Building sets, Chow rings, and their Hilbert Series
  with Luis Ferroni, Jacob Matherne, Roberto Pagaria, Lorenzo Vecchi
     arXiv:2504.16776

Publications

• On two notions of total positivity for generalized partial flag varieties of classical Lie types
  with Grant Barkley, Jonathan Boretsky, and Jiyang Gao
  International Mathematics Research Notices 2026(3) (2026).    arXiv:2410.11804


• Canonical forms of oriented matroids
  with Thomas Lam
  Bulletin of the London Mathematical Society 58(1) (2026).    arXiv:2502.20782


• Wondertopes
  with Sarah Brauner, Elizabeth Pratt, and Raluca Vlad
  Advances in Mathematics 480(C) (2025).    arXiv:2403.04610


• Kapranov degrees
  with Joshua Brakensiek, Matt Larson, and Shiyue Li
  International Mathematics Research Notices 2025(20) (2025).    arXiv:2308.12285


• K-theoretic positivity for matroids
  with Matt Larson
  Algebraic Geometry (to appear).    arXiv:2311.11996


• K-classes of delta-matroids and equivariant localization
  with Matt Larson and Hunter Spink
  Transactions of the American Mathematical Society 378 (2025).    arXiv:2307.02550


• Cohomologies of tautological bundles of matroids
  Selecta Mathematica N.S. 30-85 (2024).    arXiv:2307.04813


• Tropical critical points of an affine matroid
  with Federico Ardila-Mantilla and Raul Penaguiao
  SIAM Journal on Discrete Mathematics 38(2) (2024).    arXiv:2212.08173


• Multimatroids and rational curves with cyclic action
  with Emily Clader, Chiara Damiolini, Daoji Huang, and Shiyue Li
  International Mathematics Research Notices 2024(12) (2024).    arXiv:2311.09314


• Polyhedral and tropical geometry of flag positroids
  with Jonathan Boretsky and Lauren Williams
  Algebra & Number Theory 18-7 (2024).    arXiv:2208.09131,    Erratum


• Signed permutohedra, delta-matroids, and beyond
  with Alex Fink, Matt Larson, and Hunter Spink
  Proceedings of the London Mathematical Society 128(3) (2024).    arXiv:2209.06752


• Intersection theory of polymatroids
  with Matt Larson
  International Mathematical Research Notices 2024(5) (2024).    arXiv:2301.00831


• Stellahedral geometry of matroids
  with June Huh and Matt Larson
  Forum of Mathematics, Pi 11 (2023).    arXiv:2207.10605


• Tautological classes of matroids
  with Andrew Berget, Hunter Spink, and Dennis Tseng
  Inventiones Mathematicae 233 (2023).    arXiv:2103.08021,    Oberwolfach abstract,    FPSAC abstract


• Simplicial generation of Chow rings of matroids
  with Spencer Backman and Connor Simpson
  Journal of the European Mathematical Society (2023).    arXiv:1905.07114,   FPSAC abstract


• Reciprocal maximum likelihood degrees of diagonal linear concentration models
  with Tara Fife, Jose Samper, and Tim Seynnaeve
  Le Matematiche 76(2) (2021).    arXiv:2011.14182


• Reciprocal maximum likelihood degrees of Brownian motion tree models
  with Tobias Boege, Jane Ivy Coons, Aida Maraj, and Frank Röttger
  Le Matematiche 76(2) (2021).    arXiv:2009.11849


• Tropical flag varieties
  with Madeline Brandt and Leon Zhang
  Advances in Mathematics 384 (2021).    arXiv:2005.13727


• K-theoretic Tutte polynomials of morphisms of matroids
  with Rodica Dinu and Tim Seynnaeve
  Journal of Combinatorial Theory, Series A 181 (2021).    arXiv:2004.00112


• The Universal valuation of Coxeter matroids
  with Mario Sanchez and Mariel Supina
  Bulletin of the London Mathematical Society 53 (2021).    arXiv:2008.01121


• Free resolutions of functions classes via order complexes
  with Justin Chen, Greg Yang, and Mengyuan Zhang
  Advances in Applied Mathematics 120 (2020).    arXiv:1909.02159


• Logarithmic concavity for morphisms of matroids
  with June Huh
  Advances in Mathematics 367 (2020).    arXiv:1906.00481


• Coxeter submodular functions and deformations of Coxeter permutahedra
  with Federico Ardila, Federico Castillo, and Alex Postnikov
  Advances in Mathematics 365 (2020).    arXiv:1904.11029,   FPSAC abstract


• Divisors on matroids and their volumes
  Journal of Combinatorial Theory, Series A 169 (2020).    arXiv:1803.07103,   FPSAC abstract,   slides


• Complete intersections with given Hilbert polynomials
  with Sung Hyun Lim
  Journal of Commutative Algebra 13 (2021).    arXiv:1712.05886

Misc.

• GKMVarieties: a Macaulay2 package
  with Ritvik Ramkumar
  For computations with GKM varieties and moment graphs.    GitHub link


• The Geometry of Divisors on Matroids
  PhD dissertation.    Errata