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Man-Duen Choi 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 Man-Duen Choi 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+

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

Man-Duen Choi 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 Man-Duen Choi 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+

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

Overview

Man-Duen Choi is affiliated with the University of Toronto in Canada. Their research work spans multiple fields, primarily within mathematics and computer science, with notable contributions in computational theory, geometry, topology, applied mathematics, mathematical physics, and artificial intelligence.

Choi's research covers significant topics such as matrix theory and algorithms, graph theory and applications, holomorphic and operator theory, spectral theory in mathematical physics, quantum information and cryptography, as well as algebraic structures and combinatorial models.

Among their recent papers are the following:

  • Products of two normal operators, 2020, Advances in Operator Theory
  • On unital qubit channels, 2023, Quantum Information and Computation

Research has also appeared in venues including:

  • Notices of the American Mathematical Society
  • Advances in Operator Theory
  • Quantum Information and Computation
  • arXiv (Cornell University)

Frequent coauthors with whom Choi has collaborated include:

  • Chi-Kwong Li
  • Pei Yuan Wu
  • Palle E. T. Jørgensen
  • Claude Schochet
  • Masamichi Takesaki

Choi's work in matrix theory and operator theory intersects with quantum information science, illustrated by publications on qubit channels and operator products. Their contributions also involve a combination of geometric and algebraic methods applied in computational and mathematical physics contexts.

Best Publications

  • Completely positive linear maps on complex matrices

    Man-Duen Choi

  • Injectivity and operator spaces

    Man-Duen Choi;Edward G. Effros

  • Sums of squares of real polynomials

    M. D. Choi;T. Y. Lam;B. Reznick

  • The completely positive lifting problem for C*-algebras

    Man-Duen Choi;Edward G. Effros

  • Positive semidefinite biquadratic forms

    Man-Duen Choi

  • Positive Linear Maps on C*-Algebras

    Man Duen Choi

  • Tricks or Treats with the Hilbert Matrix

    Man-Duen Choi

  • Extremal positive semidefinite forms

    Man-Duen Choi;Tsit-Yuen Lam

  • Nuclear C ∗ -Algebras and the Approximation Property

    Man-Duen Choi;Edward G. Effros

  • Gauss polynomials and the rotation algebra

    Man-Duen Choi;George A. Elliott;George A. Elliott;Noriko Yui

  • THE FULL C* -ALGEBRA OF THE FREE GROUP ON TWO GENERATORS

    Man Duen Choi

  • Linear Maps Preserving Commutativity

    M.D. Choi;A.A. Jafarian;A.A. Jafarian;H. Radjavi

  • A Simple C*-Algebra Generated by Two Finite-Order Unitaries

    Man Duen Choi

  • Higher-rank numerical ranges and compression problems

    Man-Duen Choi;David W. Kribs;David W. Kribs;Karol Życzkowski;Karol Życzkowski;Karol Życzkowski

  • Geometry of higher-rank numerical ranges

    Man-Duen Choi;Michael Giesinger;John A. Holbrook;David W. Kribs

  • Real zeros of positive semidefinite forms. I

    Man Duen Choi;Tsit Yuen Lam;Bruce A Reznick

  • Quantum error correcting codes from the compression formalism

    Man-Duen Choi;David W. Kribs;David W. Kribs;Karol Życzkowski;Karol Życzkowski;Karol Życzkowski

  • The Pythagoras number of some affine algebras and local algebras

    M. D. Choi;Z. D. Dai;T. Y. Lam;B. Reznick

  • Separable nuclear C∗-algebras and injectivity

    Man-Duen Choi;Edward G. Effros

  • Higher-Rank Numerical Ranges and Compression Problems

    Man-Duen Choi;David W. Kribs;Karol Zyczkowski

Frequent Co-Authors

David W. Kribs
David W. Kribs University of Guelph
Tsit Yuen Lam
Tsit Yuen Lam University of California, Berkeley
Karol Życzkowski
Karol Życzkowski Jagiellonian University
Chi-Kwong Li
Chi-Kwong Li William & Mary
Edward G. Effros
Edward G. Effros University of California, Los Angeles
Kenneth R. Davidson
Kenneth R. Davidson University of Waterloo
Rajendra Bhatia
Rajendra Bhatia Ashoka University
George A. Elliott
George A. Elliott University of Toronto
Eugene Seneta
Eugene Seneta University of Sydney
Jeffrey S. Rosenthal
Jeffrey S. Rosenthal University of Toronto

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