3 papers
math.CV2022
Constructing Group-Invariant CR Mappings
Jennifer Brooks, Sean Curry, Dusty Grundmeier +4
We construct CR mappings between spheres that are invariant under actions of finite unitary groups. In particular, we combine a tensoring procedure with D'Angelo's construction of…
math.CV2021
Algebraic properties of Hermitian sums of squares, II
Jennifer Brooks, Dusty Grundmeier, Hal Schenck
We study real bihomogeneous polynomials in complex variables for which is the squared norm of a holomorphic polynomial mapping. Such polyn…
math.CV2021
Sum of Squares Conjecture: the Monomial Case in
Jennifer Brooks, Dusty Grundmeier
The goal of this article is to prove the Sum of Squares Conjecture for real polynomials on with diagonal coefficient matrix. This conjecture describes…