World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
41
Citations
7463
World Ranking
1901
National Ranking
811

Paul Terwilliger 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 Paul Terwilliger 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: 181 publications — 54th percentile

54% of scientists in this discipline score the same or lower.

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

Paul Terwilliger 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 Paul Terwilliger 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: 41 D-Index — 49th percentile

49% of scientists in this discipline score the same or lower.

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

Overview

Paul Terwilliger is affiliated with the University of Wisconsin-Madison in the United States. Their research focuses primarily on mathematics, with particular engagement in the subfields of geometry and topology, discrete mathematics and combinatorics, algebra and number theory, mathematical physics, and electrical and electronic engineering.

The main topics of their work include algebraic structures and combinatorial models, finite group theory research, advanced topics in algebra, graph theory and CDMA systems, advanced algebra and geometry, coding theory, and cryptography.

Frequent co-authors collaborating with Paul Terwilliger include Kazumasa Nomura, Arjana Žitnik, Sarah Post, Sebastian M. Cioabă, and Jack H. Koolen.

Their recent published papers include:

  • "Totally bipartite tridiagonal pairs" (2021) in Electronic Journal of Linear Algebra
  • "Leonard pairs, spin models, and distance-regular graphs" (2020) in Journal of Combinatorial Theory Series A
  • "A Q-Polynomial Structure Associated with the Projective Geometry L_N(q)" (2023) in Graphs and Combinatorics
  • "A conjecture concerning the q-Onsager algebra" (2021) in Nuclear Physics B
  • "A compact presentation for the alternating central extension of the positive part of Uq(sl^2)" (2021) in Ars Mathematica Contemporanea

Paul Terwilliger has published extensively in several academic venues. Among the most frequent are arXiv (Cornell University) with 26 publications, Journal of Combinatorial Theory Series A (5 publications), Graphs and Combinatorics (3 publications), Electronic Journal of Linear Algebra (3 publications), and Journal of Algebra (3 publications).

Best Publications

  • The Subconstituent Algebra of an Association Scheme, (Part I)

    Paul Terwilliger

  • Two linear transformations each tridiagonal with respect to an eigenbasis of the other

    Paul Terwilliger

  • Some algebra related to P - and Q -polynomial association schemes.

    Tatsuro Ito;Kenichiro Tanabe;Paul M. Terwilliger

  • Two relations that generalize the $q$-Serre relations and the Dolan-Grady relations

    Paul Terwilliger

  • LEONARD PAIRS AND THE ASKEY-WILSON RELATIONS

    Paul Terwilliger;Raimundas Vidunas

  • Introduction to Leonard pairs

    Paul Terwilliger

  • Leonard pairs and the q-Racah polynomials

    Paul Terwilliger

  • Two Linear Transformations each Tridiagonal with Respect to an Eigenbasis of the other; Comments on the Parameter Array

    Paul Terwilliger

  • Leonard Pairs from 24 Points of View

    Paul Terwilliger

  • Two linear transformations each tridiagonal with respect to an eigenbasis of the other; the TD–D canonical form and the LB–UB canonical form

    Paul M. Terwilliger

  • The shape of a tridiagonal pair

    Tatsuro Ito;Paul Terwilliger

  • The q-Tetrahedron Algebra and Its Finite Dimensional Irreducible Modules

    Tatsuro Ito;Paul Terwilliger

  • TWO NON-NILPOTENT LINEAR TRANSFORMATIONS THAT SATISFY THE CUBIC q-SERRE RELATIONS

    Tatsuro Ito;Paul Terwilliger

  • An Algebraic Approach to the Askey Scheme of Orthogonal Polynomials

    Paul Terwilliger

  • The Tetrahedron algebra, the Onsager algebra, and the sl2 loop algebra

    Brian Hartwig;Paul Terwilliger

  • THE AUGMENTED TRIDIAGONAL ALGEBRA

    Tatsuro Ito;Paul Terwilliger

  • The Subconstituent Algebra of an Association Scheme (Part III)

    Unknown

  • The quantum algebra Uq(sl2) and its equitable presentation

    Tatsuro Ito;Paul Terwilliger;Chih-wen Weng

  • Tridiagonal pairs and the quantum affine algebra Uq(sl 2)

    Tatsuro Ito;Paul M. Terwilliger

  • Tight Distance-Regular Graphs

    Aleksandar Jurišić;Jack Koolen;Paul Terwilliger

  • The equitable presentation for the quantum group Uq(g) associated with a symmetrizable Kac–Moody algebra g

    Paul Terwilliger

  • The Subconstituent Algebra of an Association Scheme (Part II)

    Unknown

Frequent Co-Authors

Michel Deza
Michel Deza École Normale Supérieure

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