2 citations · 2 across the 5 of their papers we have counts for
7 papers
Schubitopes are not Ehrhart positive
Yupeng Li, Avery St. Dizier
Schubitopes are a family of generalized permutahedra arising as the Newton polytopes of both Schubert polynomials and Demazure characters of . Monical, Tokcan, and Y…
Counterexamples to Robichaux's conjecture for Grothendieck polynomials
Avery St. Dizier
Ross and Yong conjectured a -theoretic Kohnert rule for Grothendieck polynomials. Robichaux exhibited a counterexample to the Ross--Yong rule and proposed a revised ghost -Ko…
Double orthodontia formulas and Lascoux positivity
Linus Setiabrata, Avery St. Dizier
We give a new formula for double Grothendieck polynomials based on Magyar's orthodontia algorithm for diagrams. Our formula implies a similar formula for double Schubert polynomial…
Presenting the cohomology of a Schubert variety: Proof of the minimality conjecture
Avery St. Dizier, Alexander Yong
A minimal presentation of the cohomology ring of the flag manifold was given in [A. Borel, 1953]. This presentation was extended by [E. Akyildiz-A. Lascoux-P. Pragacz, 199…
On the degree of Grothendieck polynomials
Matt Dreyer, Karola Mészáros, Avery St. Dizier
A beautiful degree formula for the Grothendieck polynomials was recently given by Pechenik, Speyer, and Weigandt (2021). We provide an alternative proof of their degree formula, ut…
Generalized permutahedra and Schubert calculus
Avery St. Dizier, Alexander Yong
We connect generalized permutahedra with Schubert calculus. Thereby, we give sufficient vanishing criteria for Schubert intersection numbers of the flag variety. Our argument utili…
From generalized permutahedra to Grothendieck polynomials via flow polytopes
Karola Mészáros, Avery St. Dizier
We study a family of dissections of flow polytopes arising from the subdivision algebra. To each dissection of a flow polytope, we associate a polynomial, called the left-degree po…