World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
34
Citations
4987
World Ranking
2907
National Ranking
1181

Dennis Stanton 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 Dennis Stanton 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: 143 publications — 34th percentile

34% of scientists in this discipline score the same or lower.

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

Dennis Stanton 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 Dennis Stanton 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: 34 D-Index — 21st percentile

21% of scientists in this discipline score the same or lower.

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

Overview

Dennis Stanton is affiliated with the University of Minnesota in the United States and specializes in the field of mathematics. Their research encompasses a spectrum of mathematical disciplines with a focus on algebra, number theory, combinatorics, and applied mathematics.

Their main field of study is Mathematics, with specific contributions distributed across:

  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics
  • Statistics and Probability
  • Spectroscopy

Stanton's research frequently addresses advanced mathematical topics, including:

  • Advanced Mathematical Identities
  • Advanced Combinatorial Mathematics
  • Analytic Number Theory Research
  • Mathematical functions and polynomials
  • Random Matrices and Applications
  • Approximation Theory and Sequence Spaces
  • Molecular spectroscopy and chirality

Recent publications highlight a focus on combinatorics and orthogonal polynomials, among other topics. Notable papers include:

  • "Dyson's crank and the mex of integer partitions" (2021) published in Journal of Combinatorial Theory Series A
  • "Combinatorics of orthogonal polynomials of type R_I" (2021) published in The Ramanujan Journal
  • "Orthogonality of very well-poised series" (2024) published in Indagationes Mathematicae
  • "The Ariki-Koike algebras and Rogers-Ramanujan type partitions" (2024) published in Journal of Algebraic Combinatorics
  • "Ratios of Hahn--Exton q-Bessel functions and q-Lommel polynomials" (2020) published on arXiv (Cornell University)

Their research has appeared regularly in several venues, with publications concentrated in:

  • arXiv (Cornell University)
  • The Ramanujan Journal
  • Journal of Combinatorial Theory Series A
  • Journal of Algebraic Combinatorics
  • Indagationes Mathematicae

Throughout their career, Stanton has frequently collaborated with various researchers. Regular co-authors include:

  • Jang Soo Kim
  • Mourad E. H. Ismail
  • Ae Ja Yee
  • Shane Chern
  • Zhitai Li

Best Publications

  • Cranks and t-cores.

    Frank Garvan;Dongsu Kim;Dennis Stanton

  • The cyclic sieving phenomenon

    V. Reiner;D. Stanton;D. White

  • A schensted algorithm for rim hook tableaux

    Dennis W Stanton;Dennis E White

  • The combinatorics of q -Hermite polynomials and the Askey-Wilson integral

    Mourad Ismail;Dennis Stanton;Gerard Viennot

  • Strange Evaluations of Hypergeometric Series

    Ira Gessel;Dennis Stanton

  • Applications of q-lagrange inversion to basic hypergeometric series

    Ira Gessel;Dennis Stanton

  • Variants of the Rogers-Ramanujan Identities

    Kristina Garrett;Mourad E.H. Ismail;Dennis Stanton

  • Group actions on Stanley-Reisner rings and invariants of permutation groups☆

    A.M Garsia;D Stanton

  • Some q-Krawtchouk Polynomials on Chevalley Groups

    Dennis Stanton

  • A Convolution Formula for the Tutte Polynomial

    W. Kook;V. Reiner;D. Stanton

  • q -Taylor theorems, polynomial expansions, and interpolation of entire functions

    Mourad E. H. Ismail;Dennis Stanton

  • On the Askey-Wilson and Rogers Polynomials

    Mourad E. H. Ismail;Dennis Stanton

  • Classical orthogonal polynomials as moments

    Mourad E. H. Ismail;Dennis Stanton

  • Orthogonal Polynomials and Chevalley Groups

    Dennis Stanton

  • Block inclusions and cores of partitions

    Jørn B. Olsson;Dennis Stanton

  • Octobasic Laguerre polynomials and permutation statistics

    R. Simion;D. Stanton

  • Change of Base in Bailey Pairs

    D. Bressoud;M. E. H. Ismail;D. Stanton

  • Applications of q-Taylor theorems

    Mourad E.H. Ismail;Dennis Stanton

  • Invariant theory and tableaux

    Dennis Stanton;Ima Program on Applied Combinatorics

  • Combinatorial Laplacians of matroid complexes

    W. Kook;W. Kook;Victor S Reiner;Dennis W Stanton

  • q-Series and Partitions

    Dennis Stanton;Ima Program on Applied Combinatorics;Partitions

Frequent Co-Authors

Mourad E. H. Ismail
Mourad E. H. Ismail University of Louisiana at Lafayette
Victor Reiner
Victor Reiner University of Minnesota
Ira M. Gessel
Ira M. Gessel Brandeis University
Lauren Williams
Lauren Williams Harvard University
Doron Zeilberger
Doron Zeilberger Rutgers, The State University of New Jersey
Robert M. Guralnick
Robert M. Guralnick University of Southern California
Adriano M. Garsia
Adriano M. Garsia University of California, San Diego
George E. Andrews
George E. Andrews Pennsylvania State University

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

Exploring Mathematics in the USA opens doors to diverse online degree options that complement a strong analytical background. Many students consider accelerated programs such as the shortest online mba to quickly develop leadership and business skills alongside their mathematical expertise.

If you're interested in merging math with marketing, pursuing an ms in digital marketing degree cost tuition fees often plays a critical role in decision making. Affordable programs that offer strong career prospects can maximize your return on investment while expanding your career flexibility.

For those looking to fast-track their education, the one year mba program option provides an efficient route to gain comprehensive business knowledge in a condensed timeline. This is highly beneficial for math graduates eager to enter business roles swiftly.

Additionally, understanding whether can you transfer credits into an mba program helps students leverage previous coursework and expedite their path towards earning an MBA or other advanced degrees.

Best Scientists Citing Dennis Stanton

Trending Scientists

Recently Published Articles