World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
32
Citations
4416
World Ranking
3187
National Ranking
1273

Research.com Recognitions

  • 2016 - Fellow of the American Mathematical Society For contributions to operator theory and the theory of analytic functions of several complex variables.

Overview

Jim Agler is affiliated with the University of California, San Diego in the United States. Their research primarily focuses on mathematics, with a total of 114 publications recorded in this field. The subfields of study emphasized in their work include applied mathematics, mathematical physics, geometry and topology, computational theory and mathematics, and algebra and number theory.

Agler's main topics of research cover a range of areas in advanced mathematics, including:

  • Holomorphic and operator theory
  • Algebraic and geometric analysis
  • Analytic and geometric function theory
  • Advanced Banach space theory
  • Spectral theory in mathematical physics
  • Advanced operator algebra research
  • Advanced algebra and geometry

The scientist has published extensively, with frequent contributions to specific venues such as:

  • arXiv (Cornell University)
  • Journal of Functional Analysis
  • Acta Scientiarum Mathematicarum
  • Journal of Geometric Analysis
  • Journal of Mathematical Analysis and Applications

Selected recent publications include:

  • "Monomial operators", 2022, Acta Scientiarum Mathematicarum
  • "Intrinsic Directions, Orthogonality, and Distinguished Geodesics in the Symmetrized Bidisc", 2021, Journal of Geometric Analysis
  • "Beurling's theorem for the Hardy operator on L2[0,1]", 2023, Acta Scientiarum Mathematicarum
  • "On the operators with numerical range in an ellipse", 2024, Journal of Functional Analysis
  • "Norm preserving extensions of holomorphic functions defined on varieties in ℂⁿ", 2022, Journal of Functional Analysis

Frequent coauthors in their work include:

  • John E. McCarthy
  • N. J. Young
  • Zinaida A. Lykova
  • Łukasz Kosiński

Jim Agler has also contributed to the academic literature through book publications, with at least one known title published by Cambridge University Press:

  • "Operator Analysis," 2020

Among honors received, they were named a Fellow of the American Mathematical Society in 2016 for contributions to operator theory and the theory of analytic functions of several complex variables.

Best Publications

  • Pick Interpolation and Hilbert Function Spaces

    Jim Agler;John E. McCarthy

  • m-Isometric Transformations of Hilbert Space, II

    Jim Agler;Mark Stankus

  • The hyperbolic geometry of the symmetrized bidisc

    J. Agler;J. Agler;N. J. Young;N. J. Young

  • m-Isometric transformations of Hilbert space, I

    Unknown

  • Complete Nevanlinna–Pick Kernels☆

    Jim Agler;John E. McCarthy

  • Nevanlinna-Pick interpolation on the bidisk

    Jim Agler;John E. McCarthy

  • The Arveson Extension Theorem and coanalytic models

    Jim Agler

  • A DISCONJUGACY THEOREM FOR TOEPLITZ OPERATORS

    Jim Agler

  • A Commutant Lifting Theorem for a Domain in C2and Spectral Interpolation

    Jim Agler;Nicholas Young

  • Positive semidefinite matrices with a given sparsity pattern

    Jim Agler;William Helton;Scott McCullough;Leiba Rodman;Leiba Rodman

  • m-Isometric transformations of hilbert space, III

    Unknown

  • Distinguished Varieties

    Jim Agler;John McCarthy

  • Global Holomorphic Functions in Several Noncommuting Variables

    Jim Agler;John E. McCarthy

  • A model theory for Γ-contractions

    Jim Agler;Nicholas Young

  • Rational dilation on an annulus

    Jim Agler

  • The two-point spectral Nevanlinna-Pick problem

    J Agler;J Agler;NJ Young;NJ Young

  • The two-by-two spectral Nevanlinna-Pick problem

    Jim Agler;N. J. Young

  • Operators having the symmetrized bidisc as a spectral set

    J Agler;NJ Young

  • Operator monotone functions and Löwner functions of several variables

    Jim Agler;John E. McCarthy;Nicholas J. Young

  • A Schwarz Lemma for the symmetrized bidisc

    Jim Agler;Nicholas Young

  • Extremal holomorphic maps and the symmetrized bidisc

    Jim Agler;Zinaida Lykova;Nicholas Young

  • Classical function theory, operator dilation theory, and machine computation on multiply-connected domains

    Jim Agler;John Harland;Benjamin J. Raphael

  • Operator monotone functions and L"owner functions of several variables

    Jim Agler;John E. McCarthy;Nicholas J. Young

Frequent Co-Authors

Joseph A. Ball
Joseph A. Ball Virginia Tech
J. William Helton
J. William Helton University of California, San Diego

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

Studying mathematics in the USA opens doors to a variety of online degrees that complement and enhance your skill set. For those interested in combining business acumen with quantitative skills, exploring the mba transfer credits options can make continuing your education more flexible and affordable.

Data analytics is a rapidly growing field closely linked to mathematics. Pursuing one of the analytics masters programs provides strong analytical and technical expertise, preparing graduates for careers in data science, business intelligence, and decision-making roles across industries.

If you want to earn a business degree but are concerned about admission requirements, many students benefit from considering the easiest mba program options. These programs often offer practical curricula and flexible schedules tailored to working professionals.

Additionally, for those balancing work and study, the easiest online mba program options provide accessible yet effective ways to gain leadership skills without disrupting career momentum. Combining mathematics with these degrees can unlock diverse career pathways in finance, technology, and management.

Best Scientists Citing Jim Agler

Trending Scientists

Recently Published Articles