Linear slices of Hyperbolic polynomials and positivity of symmetric polynomial functions

Computing critical points for invariant algebraic systems

(2022) Jean-Charles Faugère et al.   JOURNAL OF SYMBOLIC COMPUTATION

Vandermonde Varieties, Mirrored Spaces, and the Cohomology of Symmetric Semi-algebraic Sets

(2021) Saugata Basu et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

Reflection groups, reflection arrangements, and invariant real varieties

(2017) Tobias Friedl et al.   PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Test sets for nonnegativity of polynomials invariant under a finite reflection group

(2016) José Acevedo et al.   JOURNAL OF PURE AND APPLIED ALGEBRA

Symmetric semi-algebraic sets and non-negativity of symmetric polynomials

(2016) Cordian Riener   JOURNAL OF PURE AND APPLIED ALGEBRA

Interlacing families II: Mixed characteristic polynomials and the Kadison--Singer problem

(2015) Adam Marcus et al.   ANNALS OF MATHEMATICS

On the degree and half-degree principle for symmetric polynomials

(2011) Cordian Riener   JOURNAL OF PURE AND APPLIED ALGEBRA

A note on extrema of linear combinations of elementary symmetric functions

(2011) Alexander Kovačec et al.   LINEAR & MULTILINEAR ALGEBRA

Obstructions to determinantal representability

(2010) Petter Brändén   ADVANCES IN MATHEMATICS