Publications (30)
Solvability of Symmetric Word Equations in Positive Definite Letters
Scott N. Armstrong, Christopher J. Hillar
Finite generation of symmetric ideals
Matthias Aschenbrenner, Christopher J. Hillar
The monotone secant conjecture in the real Schubert calculus
Nickolas Hein, Christopher J. Hillar, Abraham Martin del Campo +2
Advances on the Bessis-Moussa-Villani Trace Conjecture
Christopher J. Hillar
Finiteness theorems and algorithms for permutation invariant chains of Laurent lattice ideals
Christopher J. Hillar, Abraham Martin del Campo
Minimal Generators for Symmetric Ideals
Christopher J. Hillar, Troels Windfeldt
On the Positivity of the Coefficients of a Certain Polynomial Defined by Two Positive Definite Matrices
Christopher J. Hillar, Charles R. Johnson
Fibonacci Identities and Graph Colorings
Christopher J. Hillar, Troels Windfeldt
An Algorithm for Finding Symmetric Gröbner Bases in Infinite Dimensional Rings
Matthias Aschenbrenner, Christopher J. Hillar
Algebraic Characterization of Uniquely Vertex Colorable Graphs
Christopher J. Hillar, Troels Windfeldt
Equivariant Gröbner bases
Christopher J. Hillar, Robert Krone, Anton Leykin
The Secant Conjecture in the real Schubert calculus
Luis Garcia-Puente, Nickolas Hein, Christopher J. Hillar +4
A Result About the Density of Iterated Line Intersections in the Plane
Christopher J. Hillar, Darren L. Rhea
When can dictionary learning uniquely recover sparse data from subsamples?
Christopher J. Hillar, Friedrich T. Sommer
Inverses of symmetric, diagonally dominant positive matrices and applications
Christopher J. Hillar, Shaowei Lin, Andre Wibisono
Lower Bounds in Real Schubert Calculus
Nickolas Hein, Christopher J. Hillar, Frank Sottile
Adaptive compressed sensing - a new class of self-organizing coding models for neuroscience
William K. Coulter, Christopher J. Hillar, Friedrich T. Sommer
Absolutely Flat Idempotents
Jonathan M. Groves, Yonatan Harel, Christopher J. Hillar +2
Symmetric Word Equations in Two Positive Definite Letters
Christopher J. Hillar, Charles R. Johnson
Randomization, Sums of Squares, and Faster Real Root Counting for Tetranomials and Beyond
Osbert Bastani, Christopher J. Hillar, Dimitar Popov +1
Finite Groebner bases in infinite dimensional polynomial rings and applications
Christopher J. Hillar, Seth Sullivant
An elementary and constructive solution to Hilbert's 17th Problem for matrices
Christopher J. Hillar, Jiawang Nie
Equations solvable by radicals in a uniquely divisible group
Christopher J. Hillar, Lionel Levine, Darren Rhea
Cyclic Resultants
Christopher J. Hillar
Automorphisms of finite Abelian groups
Christopher J. Hillar, Darren Rhea
Deciphering subsampled data: adaptive compressive sampling as a principle of brain communication
Guy Isely, Christopher J. Hillar, Friedrich T. Sommer
Sums of squares over totally real fields are rational sums of squares
Christopher J. Hillar
Logarithmic Derivatives of Solutions to Linear Differential Equations
Christopher J. Hillar
Polynomial recurrences and cyclic resultants
Christopher J. Hillar, Lionel Levine
Complex static skew-symmetric output feedback control
Christopher J. Hillar, Frank Sottile