World's Best Scientists 2026 revealed!
Kenneth R. Davidson

Kenneth R. Davidson

D-Index & Metrics

Mathematics

D-Index
35
Citations
7076
World Ranking
2728
National Ranking
110

Kenneth R. Davidson 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 Kenneth R. Davidson 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: 191 publications — 58th percentile

58% of scientists in this discipline score the same or lower.

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

Kenneth R. Davidson 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 Kenneth R. Davidson 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: 35 D-Index — 25th percentile

25% of scientists in this discipline score the same or lower.

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

Overview

Kenneth R. Davidson is affiliated with the University of Waterloo in Canada and works primarily in the field of Mathematics. The research output encompasses a significant focus on mathematical physics, algebra and number theory, applied mathematics, and computational theory. The scientist's work also touches on atmospheric science within the broader mathematical context.

The main subjects of investigation include advanced topics in algebra, advanced operator algebra research, holomorphic and operator theory, advanced Banach space theory, matrix theory and algorithms, polar research and ecology, and quantum information and cryptography.

Recent papers with their year of publication and venues are:

  • "Choquet order and hyperrigidity for function systems," 2021, Advances in Mathematics
  • "Positive Maps and Entanglement in Real Hilbert Spaces," 2023, Annales Henri Poincaré
  • "Interpolation and duality in algebras of multipliers on the ball," 2022, Journal of the European Mathematical Society
  • "Counterexamples to the extendibility of positive unital norm-one maps," 2023, Linear Algebra and its Applications
  • "Strongly Peaking Representations and Compressions of Operator Systems," 2020, International Mathematics Research Notices

Frequent collaborators include:

  • Vern I. Paulsen
  • Mizanur Rahaman
  • Alistair Rogers
  • Kim Ely
  • Giulio Chiribella

The researcher has contributed frequently to several publication venues, including:

  • arXiv (Cornell University)
  • OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)
  • Annales Henri Poincaré
  • Advances in Mathematics
  • Journal of the European Mathematical Society

Regarding book publications, the following are noted:

  • "Integer and Polynomial Algebra," published by the American Mathematical Society in 2023
  • "Functional Analysis and Operator Algebras," to be published by Springer International Publishing in 2025

Best Publications

  • C*-algebras by example

    Kenneth R. Davidson

  • Nest algebras : triangular forms for operator algebras on Hilbert space

    Kenneth R. Davidson

  • Chapter 8 - Local Operator Theory, Random Matrices and Banach Spaces

    Kenneth R. Davidson;Stanislaw J. Szarek

  • Invariant Subspaces and Hyper-Reflexivity for Free Semigroup Algebras

    Kenneth R. Davidson;David R. Pitts

  • The algebraic structure of non-commutative analytic Toeplitz algebras

    Kenneth R. Davidson;David R. Pitts

  • Nevanlinna-Pick interpolation for non-commutative analytic Toeplitz algebras

    Kenneth R. Davidson;David R. Pitts

  • Real Analysis and Applications: Theory in Practice

    Kenneth R. Davidson;Allan P. Donsig

  • Real Analysis with Real Applications

    Kenneth R. Davidson;Allan P. Donsig

  • The Choquet boundary of an operator system

    Kenneth R. Davidson;Matthew Kennedy

  • The structure of free semigroup algebras

    Kenneth R. Davidson;Elias Katsoulis;David R. Pitts

  • The structure of free smigroup algebras

    K. R. Davidson;E. Katsoulis;D. R. Pitts

  • Almost commuting Hermitian matrices.

    Kenneth R. Davidson

  • The isomorphism problem for some universal operator algebras

    Kenneth R. Davidson;Christopher Ramsey;Orr Moshe Shalit

  • Periodicity in Rank 2 Graph Algebras

    Kenneth R. Davidson;Dilian Yang

  • Best approximation in C*-algebras.

    Kenneth R. Davidson;S.C. Power

  • Isometric Dilations of Non-Commuting Finite Rank n-Tuples

    Kenneth R. Davidson;David W. Kribs;Miron E. Shpigel

  • Dilations, Inclusions of Matrix Convex Sets, and Completely Positive Maps

    Kenneth R. Davidson;Adam Dor-On;Orr Moshe Shalit;Baruch Solel

  • ABSOLUTELY CONTINUOUS REPRESENTATIONS AND A KAPLANSKY DENSITY THEOREM FOR FREE SEMIGROUP ALGEBRAS

    Kenneth R. Davidson;Jiankui Li;David R. Pitts

  • Operator algebras for analytic varieties

    Kenneth R. Davidson;Christopher Ramsey;Christopher Ramsey;Orr Moshe Shalit

  • Polynomially bounded operators.

    Kenneth R. Davidson;Vern I. Paulsen

Frequent Co-Authors

Vern I. Paulsen
Vern I. Paulsen University of Waterloo
Jeffrey Shallit
Jeffrey Shallit University of Waterloo
David W. Kribs
David W. Kribs University of Guelph
Ronald G. Douglas
Ronald G. Douglas Texas A&M University
Kiran S. Kedlaya
Kiran S. Kedlaya 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

For students interested in Mathematics, exploring related online degree programs can open doors to diverse career paths. Many professionals leverage quantitative skills gained from math studies into business and finance roles. Programs such as most affordable online dba programs offer specialized training for those aiming at leadership positions in data-driven organizations.

Similarly, an advanced understanding of finance can complement mathematical expertise. The masters in finance online programs provide flexible options to deepen knowledge in financial modeling and risk analysis, fields highly reliant on mathematical proficiency.

For students seeking to quickly advance their business acumen, accelerated mba programs online offer a streamlined path to leadership roles, combining managerial training with quantitative tools.

Lastly, applying analytical skills in marketing is increasingly important. The marketing graduate programs focus on data-driven strategies, preparing graduates to thrive in marketing analytics and digital advertising roles.

Best Scientists Citing Kenneth R. Davidson

Trending Scientists

Recently Published Articles