Jim Agler

Applied Mathematics · 2000–2015

A researcher in the Science corpus: 15 papers; trusts 18 researchers and is trusted by 32 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 35 citations into it; #381 of 7,620 by trust here, #407 by citations
• Mathematical Physics — 30 citations into it; #908 of 8,562 by trust here, #773 by citations
• Algebra and Number Theory — 22 citations into it; #1,052 of 2,864 by trust here, #1,014 by citations
• Geometry and Topology — 21 citations into it; #2,900 of 7,422 by trust here, #2,475 by citations
• Computational Theory and Mathematics — 14 citations into it; #1,714 of 12,182 by trust here, #2,201 by citations
• Statistics and Probability — 6 citations into it

Whom Jim Agler trusts overall

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

1. Joseph A. Ball
2. Gelu Popescu
3. N. Young
4. John E. McCarthy
5. Peter L. Duren
6. J. William Helton
7. Victor Vinnikov
8. D. Voiculescu
9. Scott McCullough
10. Dmitry S. Kaliuzhnyi-Verbovetskyi

Who trusts Jim Agler overall

1. Joseph A. Ball
2. N. Young
3. Gregory Marx
4. Jaydeb Sarkar
5. A. Abouhajar
6. Greg Knese
7. Orr Shalit
8. John E. McCarthy
9. Victor Vinnikov
10. Tirthankar Bhattacharyya

Papers from Jim Agler's perspective

Ordered by how strongly the researchers Jim Agler 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. Completely Bounded Maps and Operator Algebras: Contents
3. Analytic mappings between noncommutative pencil balls
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. Topics in Matrix Analysis
8. “Positive” noncommutative polynomials are sums of squares
9. Rational inner functions in the Schur-Agler class of the polydisk
10. A Course in Robust Control Theory

Their papers

• Pick Interpolation and Hilbert Function Spaces (2002) — 700 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
• Nevanlinna representations in several variables (2012) — 54 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
• The hyperbolic geometry of the symmetrized bidisc (2004) — 156 citations
• Norm preserving extensions of holomorphic functions from subvarieties of the bidisk (2004) — 64 citations
• The two-by-two spectral Nevanlinna-Pick problem (2003) — 56 citations
• A model theory for Γ-contractions (2003) — 108 citations
• A Schwarz Lemma for the Symmetrized Bidisc (2001) — 67 citations
• The two-point spectral Nevanlinna-Pick problem (2000) — 69 citations
• Operators having the symmetrized bidisc as a spectral set (2000) — 60 citations