1 citations · 1 across the 3 of their papers we have counts for
11 papers
On the support of Grothendieck polynomials
Karola Mészáros, Linus Setiabrata, Avery St. Dizier
Grothendieck polynomials of permutations were introduced by Lascoux and Schützenberger in 1982 as a set of distinguished representatives for the K-theor…
Principal specialization of dual characters of flagged Weyl modules
Karola Mészáros, Avery St. Dizier, Arthur Tanjaya
Schur polynomials are special cases of Schubert polynomials, which in turn are special cases of dual characters of flagged Weyl modules. The principal specialization of Schur and S…
An orthodontia formula for Grothendieck polynomials
Karola Mészáros, Linus Setiabrata, Avery St. Dizier
We give a new operator formula for Grothendieck polynomials that generalizes Magyar's Demazure operator formula for Schubert polynomials. Our proofs are purely combinatorial, contr…
Lorentzian polynomials from polytope projections
Karola Mészáros, Linus Setiabrata
Lorentzian polynomials, recently introduced by Brändén and Huh, generalize the notion of log-concavity of sequences to homogeneous polynomials whose supports are integer points of…
Logarithmic concavity of Schur and related polynomials
June Huh, Jacob P. Matherne, Karola Mészáros +1
We show that normalized Schur polynomials are strongly log-concave. As a consequence, we obtain Okounkov's log-concavity conjecture for Littlewood-Richardson coefficients in the sp…
Counting integer points of flow polytopes
Kabir Kapoor, Karola Mészáros, Linus Setiabrata
The Baldoni--Vergne volume and Ehrhart polynomial formulas for flow polytopes are significant in at least two ways. On one hand, these formulas are in terms of Kostant partition fu…