World's Best Scientists 2026 revealed!
Joseph A. Ball

Joseph A. Ball

D-Index & Metrics

Mathematics

D-Index
38
Citations
6725
World Ranking
2326
National Ranking
985

Joseph A. Ball publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Joseph A. Ball sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 278 publications — 82nd percentile

82% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Joseph A. Ball D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Joseph A. Ball sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 38 D-Index — 37th percentile

37% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Research.com Recognitions

  • 2019 - Fellow of the American Mathematical Society For contributions to operator theory, analytic functions, and service to the profession.

Overview

Joseph A. Ball is affiliated with Virginia Tech in the United States and specializes in the field of Mathematics, with a particular focus on Applied Mathematics, Mathematical Physics, Control and Systems Engineering, Algebra and Number Theory, and Statistics and Probability.

Their research covers several advanced topics, including:

  • Holomorphic and Operator Theory
  • Spectral Theory in Mathematical Physics
  • Advanced Operator Algebra Research
  • Algebraic and Geometric Analysis
  • Advanced Topics in Algebra
  • Random Matrices and Applications
  • Advanced Harmonic Analysis Research

Joseph A. Ball has authored significant publications across multiple venues. Recent works include:

  • Noncommutative Function-Theoretic Operator Theory and Applications, 2021, Cambridge University Press eBooks
  • Multivariable Beurling-Lax representations: the commutative and free noncommutative settings, 2022, Acta Scientiarum Mathematicarum
  • Dilation Theory and Functional Models for Tetrablock Contractions, 2023, Complex Analysis and Operator Theory
  • The Infinite-Dimensional Standard and Strict Bounded Real Lemmas in Continuous Time: The Storage Function Approach, 2022, Complex Analysis and Operator Theory
  • Free noncommutative hereditary kernels: Jordan decomposition, Arveson extension, kernel domination, 2022, Documenta Mathematica

Frequently publishing in venues such as arXiv (Cornell University), Complex Analysis and Operator Theory, Cambridge University Press eBooks, Acta Scientiarum Mathematicarum, and Documenta Mathematica, their research contributions span a variety of respected platforms.

Collaborative efforts feature prominently in their career, with frequent coauthors including Vladimir Bolotnikov, Haripada Sau, S. ter Horst, Mikael Kurula, and Gregory Marx.

Recognition for their work includes being named a Fellow of the American Mathematical Society in 2019, honored for contributions to operator theory, analytic functions, and professional service within the mathematical community.

Best Publications

  • Interpolation of Rational Matrix Functions

    Joseph A. Ball;Israel Gohberg;Leiba Rodman

  • Interpolation and Commutant Lifting for Multipliers on Reproducing Kernel Hilbert Spaces

    Joseph A. Ball;Tavan T. Trent;Victor Vinnikov

  • On the solution of the minimal rational interpolation problem

    A.C. Antoulas;J.A. Ball;J. Kang;J.C. Willems

  • Unitary Colligations, Reproducing Kernel Hilbert Spaces, and Nevanlinna–Pick Interpolation in Several Variables

    Joseph A Ball;Tavan T Trent

  • Optimal Hankel Norm model reductions and Weiner-Hopf factorization I: the canonical case

    Joseph A. Ball;C. M. Ran André

  • Structured Noncommutative Multidimensional Linear Systems

    Joseph A. Ball;Gilbert Groenewald;Tanit Malakorn

  • Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions: Parametrization of the set of all solutions

    Joseph A. Ball;J. William Helton

  • Age dependent electroencephalographic changes in attention-deficit/hyperactivity disorder (ADHD)

    S S Poil;S Bollmann;C Ghisleni;R L O'Gorman

  • Lax-phillips Scattering and Conservative Linear Systems: A Cuntz-algebra Multidimensional Setting

    Joseph A. Ball;Victor Vinnikov

  • Scattering Systems with Several Evolutions and Multidimensional Input/State/Output Systems

    Joseph A. Ball;Cora Sadosky;Victor Vinnikov

  • Sensitivity minimization in an H ∞ norm: parametrization of all suboptimal solutions

    Unknown

  • Conservative Structured Noncommutative Multidimensional Linear Systems

    Joseph A. Ball;Gilbert Groenewald;Tanit Malakorn

  • Nevanlinna-Pick interpolation for time-varying input-output maps: the discrete case

    J. A. Ball;I. Gohberg;M. A. Kaashoek

  • De Branges-Rovnyak Operator Models and Systems Theory: A Survey

    Joseph A. Ball;Nir Cohen

  • Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions

    Joseph A. Ball

  • Formal Reproducing Kernel Hilbert Spaces: The Commutative and Noncommutative Settings

    Joseph A. Ball;Victor Vinnikov

  • J-inner-outer factorization, J-spectral factorization, and robust control for nonlinear systems

    J.A. Ball;A.J. Van der Schaft

  • ZERO-POLE INTERPOLATION FOR MATRIX MEROMORPHIC FUNCTIONS ON A COMPACT RIEMANN SURFACE AND A MATRIX FAY TRISECANT IDENTITY

    Joseph A. Ball;Victor Vinnikov

  • Increased fronto-striatal reward prediction errors moderate decision making in obsessive-compulsive disorder

    T. U. Hauser;R. Iannaccone;Raymond J. Dolan;J. Ball

  • Noncommutative reproducing kernel Hilbert spaces

    Joseph A. Ball;Gregory Marx;Victor Vinnikov

  • Local inverse spectral problems for rational matrix functions

    Joseph A. Ball;André C. M. Ran

  • Realization and interpolation for Schur–Agler-class functions on domains with matrix polynomial defining function in Cn

    Joseph A. Ball;Vladimir Bolotnikov

Frequent Co-Authors

Israel Gohberg
Israel Gohberg Tel Aviv University
J. William Helton
J. William Helton University of California, San Diego
Marinus A. Kaashoek
Marinus A. Kaashoek Vrije Universiteit Amsterdam
Daniel Alpay
Daniel Alpay Chapman University
Allen Tannenbaum
Allen Tannenbaum Stony Brook University
A.J. van der Schaft
A.J. van der Schaft University of Groningen
Daniel Brandeis
Daniel Brandeis University of Zurich
Lars Michels
Lars Michels University of Zurich
Peter Klaver
Peter Klaver University of Zurich

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

For students pursuing Mathematics in the USA, exploring related online degrees can broaden career opportunities in business, finance, and analytics. Many professionals complement their mathematical expertise with advanced degrees such as an MBA to enhance leadership skills. Programs like the easiest online mba programs offer flexible options for busy students seeking manageable coursework without compromising quality.

Affordability is another critical consideration when selecting graduate programs. Those looking to further their education might explore online dba programs which provide a cost-effective path for advanced business administration studies. Similarly, for careers focused on financial mathematics or quantitative analysis, the best online masters in finance deliver valuable specialized knowledge while staying budget-conscious.

Time investment often influences students’ decisions. If speed is a priority, the shortest mba program online options allow graduates to enter the workforce quickly or pivot careers without lengthy breaks in education.

Ultimately, combining mathematics with complementary degrees through these online pathways can lead to diverse and rewarding career trajectories in data science, finance, consulting, and beyond.

Best Scientists Citing Joseph A. Ball

Trending Scientists