World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
54
Citations
10483
World Ranking
845
National Ranking
412

Willard Miller 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 Willard Miller 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: 241 publications — 75th percentile

75% of scientists in this discipline score the same or lower.

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

Willard Miller 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 Willard Miller 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: 54 D-Index — 78th percentile

78% of scientists in this discipline score the same or lower.

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

Overview

Willard Miller was affiliated with the University of Minnesota in the United States and contributed to the field of Physics and Astronomy. Their research focused extensively on Atomic and Molecular Physics, and Optics, as well as Statistical and Nonlinear Physics, Astronomy and Astrophysics, Spectroscopy, and Organic Chemistry.

The scholar's work spanned multiple topics, including Quantum Mechanics and Non-Hermitian Physics, Nonlinear Waves and Solitons, Molecular Spectroscopy and Chirality, Quantum Chaos and Dynamical Systems, Astro and Planetary Science, Advanced Fiber Laser Technologies, and Stellar, Planetary, and Galactic Studies.

Their collection of recent papers showed sustained engagement with complex subjects in mathematical and theoretical physics. Publications included:

  • From two-dimensional (super-integrable) quantum dynamics to (super-integrable) three-body dynamics, 2020, Journal of Physics A Mathematical and Theoretical
  • Toward Classification of 2nd Order Superintegrable Systems in 3-Dimensional Conformally Flat Spaces with Functionally Linearly Dependent Symmetry Operators, 2020, Symmetry Integrability and Geometry Methods and Applications
  • Classical n-body system in geometrical and volume variables: I. Three-body case, 2021, International Journal of Modern Physics A
  • Four-body (an)harmonic oscillator in d-dimensional space: S-states, (quasi)-exact-solvability, hidden algebra sl (7), 2021, arXiv (Cornell University)
  • Four-body (an)harmonic oscillator in d-dimensional space: S-states, (quasi)-exact-solvability, hidden algebra sl (7), 2021, Journal of Mathematical Physics

Frequent co-authors indicated collaborative research efforts. These included:

  • Alexander V. Turbiner
  • A. M. Escobar-Ruiz
  • Román Linares
  • S Bertrand
  • Ian Marquette

The scientist regularly published in several academic journals and platforms, notably:

  • Journal of Physics A Mathematical and Theoretical
  • International Journal of Modern Physics A
  • arXiv (Cornell University)
  • Symmetry Integrability and Geometry Methods and Applications
  • Journal of Mathematical Physics

Best Publications

  • Symmetry and separation of variables

    Willard Miller

  • Symmetry groups and their applications

    Willard Miller

  • Lie Theory and Special Functions

    Willard Miller;Henry S. Valk

  • The IMA volumes in mathematics and its applications

    Avner Friedman;Willard Miller

  • Classical and quantum superintegrability with applications

    Willard Miller;Sarah Post;Pavel Winternitz

  • Completeness of superintegrability in two-dimensional constant-curvature spaces

    E. G. Kalnins;J. M. Kress;G. S. Pogosyan;Willard Miller

  • Complete sets of commuting operators and O (3) scalars in the enveloping algebra of SU (3)

    B. R. Judd;B. R. Judd;Willard Miller;J. Patera;P. Winternitz

  • Superintegrable systems in Darboux spaces

    E. G. Kalnins;J. M. Kress;Willard Miller;P. Winternitz

  • The Group $O(4)$, Separation of Variables and the Hydrogen Atom

    E. G. Kalnins;W. Miller;P. Winternitz

  • Superintegrability and associated polynomial solutions: Euclidean space and the sphere in two dimensions

    Ernie G. Kalnins;W. Miller;G.S. Pogosyan

  • Killing Tensors and Variable Separation for Hamilton-Jacobi and Helmholtz Equations

    E. G. Kalnins;Willard Miller

  • The Mathematics of Signal Processing

    Steven B. Damelin;Willard Jr Miller

  • Symmetry and separation of variables for the Helmholtz and Laplace equations

    C. P. Boyer;C. P. Boyer;C. P. Boyer;E. G. Kalnins;E. G. Kalnins;E. G. Kalnins;Willard Miller

  • Lie Groups and Algebras

    Willard Miller

  • Second order superintegrable systems in conformally flat spaces. III. Three-dimensional classical structure theory

    Ernie G. Kalnins;Jonathan M. Kress;W. Miller

  • Second order superintegrable systems in conformally flat spaces. II. The classical two-dimensional Stäckel transform

    Ernie G. Kalnins;Jonathan M. Kress;W. Miller

  • Separation of variables on n‐dimensional Riemannian manifolds. I. The n‐sphere Sn and Euclidean n‐space Rn

    Ernie G. Kalnins;W. Miller

  • Completeness of multiseparable superintegrability on the complex 2-sphere

    E G Kalnins;W Miller;G S Pogosyan

  • Second-order superintegrable systems in conformally flat spaces. V. Two- and three-dimensional quantum systems

    Ernie G. Kalnins;Jonathan M. Kress;W. Miller

  • Killing Tensors and Nonorthogonal Variable Separation for Hamilton–Jacobi Equations

    E. G. Kalnins;Willard Miller

Frequent Co-Authors

Ernie G. Kalnins
Ernie G. Kalnins University of Waikato
Charles P. Boyer
Charles P. Boyer University of New Mexico
Avner Friedman
Avner Friedman The Ohio State University
Pavel Winternitz
Pavel Winternitz University of Montreal
Jiri Patera
Jiri Patera University of Montreal
John Harnad
John Harnad University of Montreal

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