4 papers
Density criteria for Fourier uniqueness phenomena in
Anshul Adve
We show that if a closed discrete subset is denser than a certain critical threshold, then is a Fourier uniqueness set, while if is sparser, then…
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…
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…
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…