Logarithmic concavity of Schur and related polynomials Page 1 TRANSACTIONS OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 375, Number 6, June 2022, Pages 4411–4427 …

A polynomial has saturated Newton polytope (SNP) if every lattice point of the convex hull of
its exponent vectors corresponds to a monomial. We compile instances of SNP in algebraic …

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 …

We introduce bubbling diagrams and show that they compute the support of the
Grothendieck polynomial of any vexillary permutation. Using these diagrams, we show that …

Grothendieck polynomials G w of permutations w∈ S n were introduced by Lascoux and
Schützenberger (CR Acad Sci Paris Sér I Math 295 (11): 629–633, 1982) as a set of …

We study the Kronecker product of two Schur functions $ s_\lambda\ast s_\mu $, defined as
the image of the characteristic map of the product of two $ S_n $ irreducible characters. We …

We give a new operator formula for Grothendieck polynomials that generalizes Magyar's
Demazure operator formula for Schubert polynomials. Our proofs are purely combinatorial …

Newton polytope of good symmetric polynomials Page 1 Comptes Rendus Mathématique
Duc-Khanh Nguyen, Nguyen Thi Ngoc Giao, Dang Tuan Hiep and Do Le Hai Thuy Newton …

Given a family of lattice polytopes, two common questions in Ehrhart Theory are determining
when a polytope has the integer decomposition property and determining when a polytope …

A long-standing theme in algebraic combinatorics is to study bases of the rings of symmetric
functions, quasisymmetric functions, and polynomials. Classically, these bases are …