2 citations · 2 across the 4 of their papers we have counts for
9 papers
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…
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…
Sums of CR and projective dual CR functions
David E. Barrett, Dusty E. Grundmeier
A smooth, strongly -convex, real hypersurface in admits a projective dual CR structure in addition to the standard CR structure. Given a smooth func…
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…
Rational sphere maps, linear programming, and compressed sensing
John P. D'Angelo, Dusty Grundmeier, Jiri Lebl
We develop a link between degree estimates for rational sphere maps and compressed sensing. We provide several new ideas and many examples, both old and new, that amplify connectio…
Projective-umbilic points of circular real hypersurfaces in
David E. Barrett, Dusty E. Grundmeier
We show that the boundary of any bounded strongly pseudoconvex complete circular domain in must contain points that are exceptionally tangent to a projective image of…