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math.CO2021
An efficient algorithm for deciding vanishing of Schubert polynomial coefficients
Anshul Adve, Colleen Robichaux, Alexander Yong
Schubert polynomials form a basis of all polynomials and appear in the study of cohomology rings of flag manifolds. The vanishing problem for Schubert polynomials asks if a coeffic…
math.CO2018
Computational complexity, Newton polytopes, and Schubert polynomials
Anshul Adve, Colleen Robichaux, Alexander Yong
The nonvanishing problem asks if a coefficient of a polynomial is nonzero. Many families of polynomials in algebraic combinatorics admit combinatorial counting rules and simultaneo…
math.CO2017
Symmetric group representations and Z
Anshul Adve, Alexander Yong
We discuss implications of the following statement about the representation theory of symmetric groups: every integer appears infinitely often as an irreducible character evaluatio…