Preprints

  1. A differential characterization of volume polynomials of permutohedra
    with Tristram Bogart Damian De La Fuente, and David Plaza.
  2. On a Computational Approach to the Nash Blowup Problem
    with Daniel Duarte, Maximiliano Leyton, and Alvaro Liendo.
  3. Non-normalized Nash blowup fails to resolve singularities in dimension three
    with Daniel Duarte, Maximiliano Leyton, and Alvaro Liendo.
  4. Paper BOAT: Bruhat Order and Alcovic Tilings
    with Damian De La Fuente, Nicolas Libedinsky, and David Plaza.
  5. Characteristic-free normalized Nash blowup of toric varieties
    with Daniel Duarte, Maximiliano Leyton, and Alvaro Liendo.
  6. Symmetrizing polytopes and posets
    with Fu Liu.
  7. K-polynomials of multiplicity-free varieties
    with Yairon Cid-Ruiz, Fatemeh Mohammadi, and Jonathan Montaño.
  8. Common tangents to convex polytopes
    with Joseph Doolittle and Jose Alejandro Samper.

Published

  1. On the size of Bruhat intervals
    with Damian De La Fuente, Nicolas Libedinsky, and David Plaza.
    Advances in Mathematics, to appear.
  2. Nash blowup fails to resolve singularities in dimensions four and higher
    with Daniel Duarte, Maximiliano Leyton, and Alvaro Liendo.
    Annals of Mathematics (2) , Volume 203, Issue 2, (2026).
  3. Partial Permutohedra
    with Roger Behrend, Anastasia Chavez, Alexander Diaz-Lopez, Laura Escobar, Pamela E. Harris, and Erik Insko.
    Discrete and Computational Geometry. online version (2025)
  4. Lineup polytopes of product of simplices
    with Jean-Philippe Labbé.
    Annales de l'Institut Henri Poincaré D: Combinatorics, Physics and their Interactions, Volume 12 (2025), no. 4, 787–818.
  5. Hopf monoids of ordered simplicial complexes
    with Jose Alejandro Samper and Jeremy Martin.
    International Math. Research Notices No. 20, 13312-13351 (2024).
  6. Double Schubert polynomials do have saturated Newton polytopes
    with Yairon Cid-Ruiz, Fatemeh Mohammadi, and Jonathan Montaño.
    Forum of Mathematics, Sigma, Volume 11 (2023), E100.
  7. The permuto-associahedron revisited
    with Fu Liu.
    European Journal of Combinatorics, Volume 110 (2023), Paper No. 103706, 30 pp.
  8. An effective solution to convex 1-body N-representability
    with Jean-Philippe Labbé, Julia Liebert, Arnau Padrol, Eva Philippe, and Christian Schilling.
    Annales Henri Poincaré, Volume 24 (2023) no. 7, pp. 2241–2321.
  9. Minkowski summands of cubes
    with Joseph Doolittle, Bennet Goeckner, Michael S. Ross, and Li Ying.
    Bulletin of London Mathematical Society, Volume 54 (2022), no. 3, pp. 996–1009.
  10. Deformation cones of nested Braid fans
    with Fu Liu.
    International Math. Research Notices, (2022), no. 3, 1973–2026.
  11. On the Todd Class of the Permutohedral variety
    with Fu Liu.
    Algebraic Combinatorics, Volume 4 (2021) no. 3, pp. 387–407.
  12. Finiteness theorems for Matroid Complexes with prescribed topology
    with Jose Alejandro Samper.
    European Journal of Combinatorics, Volume 92 (2021), Paper No. 103239, 17 pp.
  13. When are multidegrees positive?
    with Yairon Cid-Ruiz, Binglin Li, Jonathan Montaño, and Naizhen Zhang.
    Advances in Mathematics, Volume 374 (2020), 107382, 34 pp.
  14. Coxeter submodular functions and deformations of Coxeter permutahedra
    with Federico Ardila, Chris Eur, and Alexander Postnikov.
    Advances in Mathematics, Volume 365 (2020), 107039, 36 pp.
  15. Smooth polytopes with negative Ehrhart coefficients
    with Fu Liu, Benjamin Nill, and Andreas Paffenholz.
    Journal of Combinatorial Theory Ser. A, Volume 160 (2018), pp. 316–331.
  16. Berline-Vergne valuation and generalized permutohedra
    with Fu Liu.
    Discrete and Computational Geometry, Volume 60 (2018), no. 4, pp. 885–908.
  17. The topology of the external activity complex of a matroid
    with Federico Ardila and Jose Alejandro Samper.
    Electronic Journal of Combinatorics, Volume 23 (2016), no. 3, Paper 3.8, 20 pp.
  18. The arithmetic Tutte polynomials of the classical root systems
    with Federico Ardila and Mike Henley.
    International Math. Research Notices, (2015), no. 12, pp. 3830–3877.

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