World's Best Scientists 2026 revealed!
VIEW LIST
Paul Terwilliger

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 41 1901 1660 811 662 181 7463

Paul Terwilliger publications per year

The chart shows the history of publications by Paul Terwilliger between 1982 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Paul Terwilliger published across 44 years, from 1982 to 2025, averaging 4.8 papers a year. Output peaked at 18 publications in 2021. 22 of the 213 publications appeared in the last two years.

No. of publications
5 10 15
Bar chart. Horizontal axis: year, 1982 to 2025. Vertical axis: number of publications, 0 to 18. Peak 18 publications in 2021. 1982: 2 publications 1983: 1 publication 1984: 0 publications 1985: 1 publication 1986: 3 publications 1987: 5 publications 1988: 2 publications 1989: 0 publications 1990: 1 publication 1991: 0 publications 1992: 1 publication 1993: 3 publications 1994: 0 publications 1995: 2 publications 1996: 2 publications 1997: 0 publications 1998: 1 publication 1999: 1 publication 2000: 1 publication 2001: 3 publications 2002: 3 publications 2003: 6 publications 2004: 7 publications 2005: 12 publications 2006: 9 publications 2007: 13 publications 2008: 12 publications 2009: 9 publications 2010: 8 publications 2011: 7 publications 2012: 3 publications 2013: 6 publications 2014: 5 publications 2015: 4 publications 2016: 2 publications 2017: 7 publications 2018: 5 publications 2019: 8 publications 2020: 4 publications 2021: 18 publications 2022: 7 publications 2023: 7 publications 2024: 12 publications 2025: 10 publications
1982 2025

213 publications in total across all disciplines

View publications per year as a table
Paul Terwilliger: publications per year, 1982 to 2025
Year Publications
1982 2
1983 1
1984 0
1985 1
1986 3
1987 5
1988 2
1989 0
1990 1
1991 0
1992 1
1993 3
1994 0
1995 2
1996 2
1997 0
1998 1
1999 1
2000 1
2001 3
2002 3
2003 6
2004 7
2005 12
2006 9
2007 13
2008 12
2009 9
2010 8
2011 7
2012 3
2013 6
2014 5
2015 4
2016 2
2017 7
2018 5
2019 8
2020 4
2021 18
2022 7
2023 7
2024 12
2025 10
Total 213
Download as CSV

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.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 177–181 publications, is where this scientist sits. 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 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 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.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81 181
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
Download as CSV

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.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 41 D-Index, is where this scientist sits. 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.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136 41
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

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

External Links

Personal website of Paul Terwilliger Google Scholar page

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

For students pursuing Mathematics in the USA, exploring related online degrees can broaden career opportunities and enhance skill sets. Many professionals consider combining math expertise with business acumen by enrolling in an online MBA transfer credits program. This allows for flexible education pathways while gaining valuable managerial knowledge.

Another highly relevant option is pursuing a master’s in data analytics. With data playing a central role across industries, analytics masters programs build on core math skills and can lead to lucrative tech and research roles.

For those seeking more straightforward admission processes, considering the easiest MBA specialization may provide a smoother transition into business studies. Additionally, many students opt for the easiest MBA online programs, which offer convenience without sacrificing quality.

Choosing the right online degree aligned with mathematical skills can unlock diverse career pathways in finance, technology, analytics, and management. It’s essential to evaluate each program's requirements and outcomes to find the best fit for your goals.

Best Scientists Citing Paul Terwilliger

Luc Vinet

Luc Vinet

University of Montreal

Publications: 69

Alexei Zhedanov

Alexei Zhedanov

Euler International Mathematical Institute

Publications: 54

Ryu Sasaki

Ryu Sasaki

Tokyo University of Science

Publications: 8

F. Alberto Grünbaum

F. Alberto Grünbaum

University of California, Berkeley

Publications: 6

Michel Deza

Michel Deza

École Normale Supérieure

Publications: 6

Satoru Odake

Satoru Odake

Shinshu University

Publications: 6

Monique Laurent

Monique Laurent

Centrum Wiskunde & Informatica

Publications: 5

Weiqiang Wang

Weiqiang Wang

University of Virginia

Publications: 4

Atsuo Kuniba

Atsuo Kuniba

University of Tokyo

Publications: 4

Bruce E. Sagan

Bruce E. Sagan

Michigan State University

Publications: 4

Volker Mehrmann

Volker Mehrmann

Technical University of Berlin

Publications: 4

Marco Bertola

Marco Bertola

Concordia University

Publications: 3

Tom H. Koornwinder

Tom H. Koornwinder

University of Amsterdam

Publications: 3

Andries E. Brouwer

Andries E. Brouwer

Eindhoven University of Technology

Publications: 3

Eric Ragoucy

Eric Ragoucy

Centre national de la recherche scientifique, CNRS

Publications: 3

Chris Godsil

Chris Godsil

University of Waterloo

Publications: 2

Trending Scientists

John Tolle

John Tolle

Arizona State University

Barry L. Wanner

Barry L. Wanner

Harvard University

Gerald E. Edwards

Gerald E. Edwards

Washington State University

Kenneth I. Maton

Kenneth I. Maton

University of Maryland, Baltimore County

Pierre Cox

Pierre Cox

Université Paris Cité

Robert W. Chesnut

Robert W. Chesnut

Johns Hopkins University

Sumant Nigam

Sumant Nigam

University of Maryland, College Park

D.A. Humphreys

D.A. Humphreys

General Atomics (United States)

Hulin Zhang

Hulin Zhang

Taiyuan University of Technology

Jiahu Qin

Jiahu Qin

University of Science and Technology of China

Jon Lee

Jon Lee

University of Michigan–Ann Arbor

C. Neil Hunter

C. Neil Hunter

University of Sheffield

Mario Casciola

Mario Casciola

University of Perugia

Eric Bakker

Eric Bakker

University of Geneva

Urmas Kõljalg

Urmas Kõljalg

University of Tartu

Karen A. Kidd

Karen A. Kidd

McMaster University

Related Mathematics Rankings & Guides

2027 Shortest Online Mathematics Degree Master's Programs That Pay Well: Cost, Time to Completion, and Salary Outlook

2027 Shortest Online Mathematics Degree Master's Programs That Pay Well: Cost, Time to Completion, and Salary Outlook
2027 Most Affordable Online Bachelor's in Mathematics Degree Programs

2027 Most Affordable Online Bachelor's in Mathematics Degree Programs
2027 Fastest Online Bachelor's in Mathematics Degree Programs

2027 Fastest Online Bachelor's in Mathematics Degree Programs
2027 Best Online Bachelor's in Mathematics Degree Programs

2027 Best Online Bachelor's in Mathematics Degree Programs
2027 Online Mathematics Bachelor's Degree Completion Programs for Working Adults

2027 Online Mathematics Bachelor's Degree Completion Programs for Working Adults
2027 Fastest Online Master’s in Mathematics Degree Programs

2027 Fastest Online Master’s in Mathematics Degree Programs
2027 List of STEM Courses: Factors to Consider Before Choosing a STEM Degree

2027 List of STEM Courses: Factors to Consider Before Choosing a STEM Degree
2027 Best Online Master's in Mathematics Degree Programs

2027 Best Online Master's in Mathematics Degree Programs
2027 One-Year Online Biostatistics Master's Degree Programs: Accelerated Options, Costs & Outcomes

2027 One-Year Online Biostatistics Master's Degree Programs: Accelerated Options, Costs & Outcomes
2027 What Do You Learn in a Mathematics Degree: Curriculum, Skills & Core Competencies

2027 What Do You Learn in a Mathematics Degree: Curriculum, Skills & Core Competencies
2027 Cheapest Online Biostatistics Master's Degrees That Pay Well: Tuition, Duration, and Earnings

2027 Cheapest Online Biostatistics Master's Degrees That Pay Well: Tuition, Duration, and Earnings
2027 Most Affordable Online Master's in Mathematics Degree Programs

2027 Most Affordable Online Master's in Mathematics Degree Programs

Recently Published Articles

2027 Radiology Careers: Guide to Career Paths, Options & Salary

2027 Radiology Careers: Guide to Career Paths, Options & Salary
2027 How to Choose Between a Psychologist vs Psychiatrist Career

2027 How to Choose Between a Psychologist vs Psychiatrist Career
2027 Part-Time vs. Full-Time Game Development Degree Programs

2027 Part-Time vs. Full-Time Game Development Degree Programs
2027 Fastest Accredited Online Geography Programs: Accelerated Degrees and Completion Times

2027 Fastest Accredited Online Geography Programs: Accelerated Degrees and Completion Times
2027 How to Become a Marriage and Family Therapist in North Carolina: Requirements & Certification

2027 How to Become a Marriage and Family Therapist in North Carolina: Requirements & Certification
2027 Fastest Online Exercise Science Degree Programs

2027 Fastest Online Exercise Science Degree Programs
2027 Cheapest Accelerated Teaching Degree Programs Online

2027 Cheapest Accelerated Teaching Degree Programs Online
2027 How To Become a Video Game Designer: Salary & Career Paths

2027 How To Become a Video Game Designer: Salary & Career Paths
2027 Online Accounting Degree Programs for Veterans: GI Bill Benefits, Costs & Top Considerations

2027 Online Accounting Degree Programs for Veterans: GI Bill Benefits, Costs & Top Considerations
2027 Maryland Nursing License Requirements

2027 Maryland Nursing License Requirements
2027 Licensing Exams Required After Completing a Nurse Leadership Degree Program

2027 Licensing Exams Required After Completing a Nurse Leadership Degree Program
2027 Best Careers After a Behavioral Health Management Degree

2027 Best Careers After a Behavioral Health Management Degree
2027 How to Become a Medical Assistant in Tennessee Online

2027 How to Become a Medical Assistant in Tennessee Online
2027 What to Major in to Become a Dentist

2027 What to Major in to Become a Dentist
2027 Cheapest and Shortest Online Psychology Degree Programs That Pay Well: Cost, Duration, and Salary Outlook

2027 Cheapest and Shortest Online Psychology Degree Programs That Pay Well: Cost, Duration, and Salary Outlook
2027 Fastest Online Master's in Gifted Education Programs

2027 Fastest Online Master's in Gifted Education Programs
2027 Most Affordable Online Accounting Degree Programs

2027 Most Affordable Online Accounting Degree Programs
2027 Online Applied Psychology Bachelor's Degrees for Veterans and Military Students

2027 Online Applied Psychology Bachelor's Degrees for Veterans and Military Students
2027 Regulatory Science & Affairs Degree Levels Explained: Bachelor's vs Master's vs Doctorate

2027 Regulatory Science & Affairs Degree Levels Explained: Bachelor's vs Master's vs Doctorate
2027 Best Online General Management Doctorate Specializations for Career Growth

2027 Best Online General Management Doctorate Specializations for Career Growth
2027 Credit Requirements for a Biochemistry Degree Explained

2027 Credit Requirements for a Biochemistry Degree Explained