Scott McCullough

Mathematical Physics · 2000–2014

A researcher in the Science corpus: 15 papers; trusts 9 researchers and is trusted by 23 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 38 citations into it; #1,332 of 8,562 by trust here, #1,438 by citations
• Applied Mathematics — 30 citations into it; #692 of 7,620 by trust here, #713 by citations
• Algebra and Number Theory — 28 citations into it; #525 of 2,864 by trust here, #573 by citations
• Computational Theory and Mathematics — 28 citations into it; #2,342 of 12,182 by trust here, #3,218 by citations
• Numerical Analysis — 21 citations into it; #1,840 of 3,586 by trust here, #1,831 by citations
• Geometry and Topology — 19 citations into it; #3,629 of 7,422 by trust here, #3,959 by citations
• Statistics and Probability — 11 citations into it
• Control and Systems Engineering — 9 citations into it

Whom Scott McCullough trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Øóö Ý ½ ¡ ¡ ¡ Ò Ì ½ ¡ ¡ ¡ Ì Ò Òò Ööúúúøø Øøøñ Ûûøø Øøø Öö×ùðøøòò
2. Vern I. Paulsen
3. D. Voiculescu
4. Ññøööü É´½ ¡ ¡ ¡ Ò
5. J. William Helton
6. Gelu Popescu
7. K. Schmuedgen
8. Juan F. Camino
9. Victor Vinnikov

Who trusts Scott McCullough overall

1. Nathanial P. Brown Narutaka Ozawa
2. Gelu Popescu
3. Victor Vinnikov
4. Michael A. Dritschel
5. K. Davidson
6. Jim Agler
7. Dmitry S. Kaliuzhnyi-Verbovetskyi
8. Joseph A. Ball
9. J. William Helton
10. Daniel Alpay

Papers from Scott McCullough's perspective

Ordered by how strongly the researchers Scott McCullough trusts endorse each paper. Same corpus, a different order for every researcher.

1. Completely Bounded Maps and Operator Algebras: Contents
2. Free analysis questions I: duality transform for the coalgebra of ∂X:B
3. Matrix Inequalities: A Symbolic Procedure to Determine Convexity Automatically (Integral equations and operator theory)
4. Basic Algebraic Geometry
5. Semidefinite Optimization and Convex Algebraic Geometry
6. The convex Positivstellensatz in a free algebra
7. Noncommutative Real Algebraic Geometry Some Basic Concepts and First Ideas
8. Geometric Functional Analysis and Its Applications
9. Factorization of operator-valued polynomials in several non-commuting variables☆
10. Real Analysis

Their papers

• Factorization of operator-valued polynomials in several non-commuting variables☆ (2001) — 87 citations
• Every convex free basic semi-algebraic set has an LMI representation (2012) — 105 citations
• NONCOMMUTATIVE CONVEXITY ARISES FROM LINEAR MATRIX INEQUALITIES. (2006) — 136 citations
• The convex Positivstellensatz in a free algebra (2011) — 62 citations
• The Tracial Hahn-Banach Theorem, Polar Duals, Matrix Convex Sets, and Projections of Free Spectrahedra (2014) — 48 citations
• Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions (2014) — 63 citations
• A noncommutative real nullstellensatz corresponds to a noncommutative real ideal: Algorithms (2011) — 49 citations
• Proper analytic free maps (2010) — 79 citations
• Engineering Systems and Free Semi-Algebraic Geometry (2009) — 64 citations
• Analytic mappings between noncommutative pencil balls (2009) — 62 citations
• Noncommutative sums of squares (2005) — 51 citations
• BOUNDARY REPRESENTATIONS FOR FAMILIES OF REPRESENTATIONS OF OPERATOR ALGEBRAS AND SPACES (2005) — 165 citations
• A positivstellensatz for non-commutative polynomials (2004) — 138 citations
• The failure of rational dilation on a triply connected domain (2003) — 73 citations
• Invariant Subspaces and Nevanlinna–Pick Kernels (2000) — 138 citations