World's Best Scientists 2026 revealed!
Vern I. Paulsen

Vern I. Paulsen

D-Index & Metrics

Mathematics

D-Index
45
Citations
10500
World Ranking
1445
National Ranking
50

Vern I. Paulsen 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 Vern I. Paulsen 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: 177 publications — 52nd percentile

52% of scientists in this discipline score the same or lower.

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

Vern I. Paulsen 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 Vern I. Paulsen 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: 45 D-Index — 61st percentile

61% of scientists in this discipline score the same or lower.

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

Overview

Vern I. Paulsen is affiliated with the University of Waterloo in Canada and has contributed extensively to research primarily in the fields of Mathematics, Computer Science, and Physics and Astronomy. Their scholarly output spans advanced topics in operator algebras, algebra, and quantum mechanics, among other areas.

The scientist's main fields of study include:

  • Mathematics
  • Computer Science
  • Physics and Astronomy

Subfields of study in which they have published work cover:

  • Mathematical Physics
  • Algebra and Number Theory
  • Atomic and Molecular Physics, and Optics
  • Artificial Intelligence
  • Geometry and Topology

Their research encompasses several focused topics, such as:

  • Advanced Operator Algebra Research
  • Advanced Topics in Algebra
  • Quantum Mechanics and Applications
  • Quantum Information and Cryptography
  • Algebraic structures and combinatorial models
  • Holomorphic and Operator Theory
  • Noncommutative and Quantum Gravity Theories

Among recent scholarly papers authored or coauthored by Vern I. Paulsen are:

  • "On the Mixed-Unitary Rank of Quantum Channels" (2022), published in Communications in Mathematical Physics
  • "Positive Maps and Entanglement in Real Hilbert Spaces" (2023), published in Annales Henri Poincaré
  • "Matrix range characterizations of operator system properties" (2021), published in Journal of Operator Theory
  • "Synchronous Values of Games" (2024), published in Annales Henri Poincaré
  • "Products of synchronous games" (2023), published in Studia Mathematica

Vern I. Paulsen frequently collaborates with other researchers in the field. Their notable coauthors include:

  • Kenneth R. Davidson
  • Mizanur Rahaman
  • Giulio Chiribella
  • Laura Mančinska
  • Ivan G. Todorov

They have published research in several academic venues, notably:

  • arXiv (Cornell University)
  • Annales Henri Poincaré
  • Communications in Mathematical Physics
  • Journal of Operator Theory
  • Studia Mathematica

Best Publications

  • Completely Bounded Maps and Operator Algebras

    Vern I. Paulsen

  • Completely bounded maps and dilations

    Vern I. Paulsen

  • An Introduction to the Theory of Reproducing Kernel Hilbert Spaces

    Vern I. Paulsen;Mrinal Raghupathi

  • Optimal frames for erasures

    Roderick B Holmes;Vern I Paulsen

  • Tensor products of operator spaces

    David P Blecher;Vern I Paulsen

  • HILBERT C*‐MODULES: A TOOLKIT FOR OPERATOR ALGEBRAISTS (London Mathematical Society Lecture Note Series 210)

    Unknown

  • Frames, graphs and erasures

    Bernhard G. Bodmann;Vern I. Paulsen

  • Every Completely Polynomially Bounded Operator Is Similar to a Contraction

    Vern I Paulsen

  • ON BOHR'S INEQUALITY

    Vern I. Paulsen;Gelu Popescu;Dinesh Singh

  • Schur Products and Matrix Completions

    Vern I Paulsen;Stephen C Power;Roger R Smith

  • Multilinear maps and tensor norms on operator systems

    V.I Paulsen;R.R Smith

  • Categories of Operator Modules: Morita Equivalence and Projective Modules

    David P. Blecher;Paul S. Muhly;Vern I. Paulsen

  • Tensor products of operator systems

    Ali S. Kavruk;Vern I. Paulsen;Ivan G. Todorov;Mark Tomforde

  • Operator system structures on ordered spaces

    Vern I. Paulsen;Ivan G. Todorov;Mark Tomforde

  • Estimating quantum chromatic numbers

    Vern I. Paulsen;Simone Severini;Daniel Stahlke;Ivan G. Todorov

  • Vector Spaces with an Order Unit

    Vern I. Paulsen;Mark Tomforde

  • Bohr's inequality for uniform algebras

    Vern I. Paulsen;Dinesh Singh

  • Quotients, exactness, and nuclearity in the operator system category

    Ali S. Kavruk;Vern I. Paulsen;Ivan G. Todorov;Mark Tomforde

  • Extensions of Bohr'S Inequality

    Vern I. Paulsen;Dinesh Singh

  • Frame paths and error bounds for sigma–delta quantization☆

    Bernhard G. Bodmann;Vern I. Paulsen

  • Non-closure of the Set of Quantum Correlations via Graphs

    Ken Dykema;Vern I. Paulsen;Jitendra Prakash

  • Operator system quotients of matrix algebras and their tensor products

    Douglas Farenick;Vern I. Paulsen

Frequent Co-Authors

Ken Dykema
Ken Dykema Texas A&M University
Kenneth R. Davidson
Kenneth R. Davidson University of Waterloo
David W. Kribs
David W. Kribs University of Guelph
Peter G. Casazza
Peter G. Casazza University of Missouri
Ronald G. Douglas
Ronald G. Douglas Texas A&M University
Chi-Kwong Li
Chi-Kwong Li William & Mary
Simone Severini
Simone Severini University College London
George A. Elliott
George A. Elliott University of Toronto
Richard Cleve
Richard Cleve University of Waterloo
Andreas Winter
Andreas Winter University of Cologne

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