John E. McCarthy

Applied Mathematics · 2000–2015

A researcher in the Science corpus: 9 papers; trusts 17 researchers and is trusted by 37 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 33 citations into it; #366 of 7,620 by trust here, #521 by citations
• Mathematical Physics — 28 citations into it; #711 of 8,562 by trust here, #874 by citations
• Algebra and Number Theory — 22 citations into it; #1,739 of 2,864 by trust here, #1,740 by citations
• Geometry and Topology — 19 citations into it; #5,799 of 7,422 by trust here, #5,351 by citations
• Computational Theory and Mathematics — 14 citations into it; #759 of 12,182 by trust here, #1,437 by citations
• Statistics and Probability — 6 citations into it

Whom John E. McCarthy trusts overall

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

1. Jim Agler
2. Gelu Popescu
3. Joseph A. Ball
4. J. William Helton
5. D. Voiculescu
6. Scott McCullough
7. Victor Vinnikov
8. Greg Knese
9. Daniel Alpay
10. Dmitry S. Kaliuzhnyi-Verbovetskyi

Who trusts John E. McCarthy overall

1. Joseph A. Ball
2. Jim Agler
3. K. Davidson
4. Gregory Marx
5. Michael Hartz
6. Greg Knese
7. Victor Vinnikov
8. Orr Shalit
9. John M mathrmcCarthy
10. Nicola Arcozzi

Papers from John E. McCarthy's perspective

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

1. Interpolation and Commutant Lifting for Multipliers on Reproducing Kernel Hilbert Spaces
2. Analytic mappings between noncommutative pencil balls
3. Completely Bounded Maps and Operator Algebras: Contents
4. Free holomorphic functions on the unit ball of B(H)n
5. Noncommutative reproducing kernel Hilbert spaces
6. Every convex free basic semi-algebraic set has an LMI representation
7. “Positive” noncommutative polynomials are sums of squares
8. Polynomials defining distinguished varieties
9. Topics in Matrix Analysis
10. Rational inner functions in the Schur-Agler class of the polydisk

Their papers

• Pick Interpolation and Hilbert Function Spaces (2002) — 700 citations
• Complete Nevanlinna-Pick kernels (2000) — 182 citations
• Distinguished varieties (2005) — 126 citations
• The implicit function theorem and free algebraic sets (2014) — 54 citations
• Global Holomorphic Functions in Several Noncommuting Variables (2015) — 91 citations
• Pick Interpolation for free holomorphic functions (2013) — 66 citations
• Operator monotone functions and L\"owner functions of several variables (2010) — 91 citations
• A Carathéodory theorem for the bidisk via Hilbert space methods (2010) — 72 citations
• Norm preserving extensions of holomorphic functions from subvarieties of the bidisk (2004) — 64 citations