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Pavel Winternitz

Pavel Winternitz

University of Montreal
Canada

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Mathematics
Canada
2023

D-Index & Metrics

Discipline name D-Index World Ranking National Ranking Publications Citations
Mathematics 79 166 6 473 19503

Pavel Winternitz publications per year

The chart shows the history of publications by Pavel Winternitz between 1961 and 2023, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Pavel Winternitz published across 63 years, from 1961 to 2023, averaging 7.8 papers a year. Output peaked at 26 publications in 2001. 4 of the 493 publications appeared in the last two years.

No. of publications
5 10 15 20 25
Bar chart. Horizontal axis: year, 1961 to 2023. Vertical axis: number of publications, 0 to 26. Peak 26 publications in 2001. 1961: 1 publication 1962: 1 publication 1963: 0 publications 1964: 1 publication 1965: 4 publications 1966: 2 publications 1967: 1 publication 1968: 6 publications 1969: 2 publications 1970: 6 publications 1971: 4 publications 1972: 3 publications 1973: 8 publications 1974: 4 publications 1975: 6 publications 1976: 13 publications 1977: 5 publications 1978: 7 publications 1979: 2 publications 1980: 7 publications 1981: 6 publications 1982: 7 publications 1983: 8 publications 1984: 9 publications 1985: 6 publications 1986: 13 publications 1987: 11 publications 1988: 10 publications 1989: 9 publications 1990: 16 publications 1991: 10 publications 1992: 9 publications 1993: 14 publications 1994: 9 publications 1995: 4 publications 1996: 9 publications 1997: 11 publications 1998: 10 publications 1999: 12 publications 2000: 17 publications 2001: 26 publications 2002: 14 publications 2003: 9 publications 2004: 18 publications 2005: 6 publications 2006: 6 publications 2007: 11 publications 2008: 9 publications 2009: 12 publications 2010: 4 publications 2011: 10 publications 2012: 5 publications 2013: 6 publications 2014: 24 publications 2015: 11 publications 2016: 1 publication 2017: 9 publications 2018: 12 publications 2019: 7 publications 2020: 2 publications 2021: 4 publications 2022: 0 publications 2023: 4 publications
1961 2023

493 publications in total across all disciplines

View publications per year as a table
Pavel Winternitz: publications per year, 1961 to 2023
Year Publications
1961 1
1962 1
1963 0
1964 1
1965 4
1966 2
1967 1
1968 6
1969 2
1970 6
1971 4
1972 3
1973 8
1974 4
1975 6
1976 13
1977 5
1978 7
1979 2
1980 7
1981 6
1982 7
1983 8
1984 9
1985 6
1986 13
1987 11
1988 10
1989 9
1990 16
1991 10
1992 9
1993 14
1994 9
1995 4
1996 9
1997 11
1998 10
1999 12
2000 17
2001 26
2002 14
2003 9
2004 18
2005 6
2006 6
2007 11
2008 9
2009 12
2010 4
2011 10
2012 5
2013 6
2014 24
2015 11
2016 1
2017 9
2018 12
2019 7
2020 2
2021 4
2022 0
2023 4
Total 493
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Pavel Winternitz 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 Pavel Winternitz 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, 472–476 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: 473 publications — 96th percentile

96% 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
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 3 473
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

Pavel Winternitz 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 Pavel Winternitz 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, 79 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: 79 D-Index — 96th percentile

96% 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
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 79
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

Research.com Recognitions

  • 2023 - Research.com Mathematics in Canada Leader Award
  • 2002 - CAP-CRM Prize in Theoretical and Mathematical Physics, Canadian Association of Physicists and Centre de Recherches Mathématiques

Overview

Pavel Winternitz was affiliated with the University of Montreal in Canada. Their research spanned the fields of Physics and Astronomy as well as Mathematics, with a focus on multiple subfields including Statistical and Nonlinear Physics, Geometry and Topology, Atomic and Molecular Physics and Optics, Control and Systems Engineering, and Spectroscopy.

The scientist's notable areas of study included Nonlinear Waves and Solitons, Quantum Mechanics and Non-Hermitian Physics, Quantum Chaos and Dynamical Systems, Advanced Differential Equations and Dynamical Systems, Traffic Control and Management, Molecular Spectroscopy and Chirality, and Graph Theory and Applications.

Winternitz contributed to academic literature through several publications. Selected recent papers are:

  • New infinite families of Nth-order superintegrable systems separating in Cartesian coordinates, 2020, Journal of Physics A Mathematical and Theoretical
  • Second-order delay ordinary differential equations, their symmetries and application to a traffic problem, 2021, Journal of Physics A Mathematical and Theoretical

Their frequent co-authors included:

  • D. Levi
  • R. I. Yamilov
  • A. M. Escobar-Ruiz
  • Román Linares
  • В. А. Дородницын

The primary venue for Winternitz's publications was the Journal of Physics A Mathematical and Theoretical, with multiple contributions appearing there.

Beyond articles, Winternitz authored a book titled Continuous Symmetries and Integrability of Discrete Equations, published in 2023 as part of the CRM monograph series.

Among awarded recognitions, Winternitz received the CAP-CRM Prize in Theoretical and Mathematical Physics from the Canadian Association of Physicists and Centre de Recherches Mathématiques in 2002.

Best Publications

  • Invariants of real low dimension Lie algebras

    J. Patera;R. T. Sharp;P. Winternitz;H. Zassenhaus

  • ON HIGHER SYMMETRIES IN QUANTUM MECHANICS

    J. Friš;V. Mandrosov;Ya.A. Smorodinsky;M. Uhlíř

  • Subalgebras of real three‐ and four‐dimensional Lie algebras

    J. Patera;P. Winternitz

  • Classical and quantum superintegrability with applications

    Willard Miller;Sarah Post;Pavel Winternitz

  • Non-classical symmetry reduction: example of the Boussinesq equation

    Decio Levi;P. Winternitz

  • Superintegrability with third-order integrals in quantum and classical mechanics

    Simon Gravel;Pavel Winternitz

  • Formalism of Nucleon-Nucleon Elastic Scattering Experiments

    J. Bystricky;F. Lehar;P. Winternitz

  • Continuous subgroups of the fundamental groups of physics. I. General method and the Poincaré group

    J. Patera;P. Winternitz;H. Zassenhaus

  • Everything you always wanted to know about SU(3) ⊃ 0(3)

    M Moshinsky;J Patera;R.T Sharp;P Winternitz

  • The computer calculation of Lie point symmetries of large systems of differential equations

    B. Champagne;W. Hereman;P. Winternitz

  • LIE GROUPS AND SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS

    Pavel Winternitz

  • Continuous symmetries of discrete equations

    Decio Levi;Decio Levi;P. Winternitz

  • Symmetry reduction for the Kadomtsev–Petviashvili equation using a loop algebra

    D David;N Kamran;Decio Levi;P. Winternitz

  • An infinite family of solvable and integrable quantum systems on a plane

    Frédérick Tremblay;Alexander V Turbiner;Pavel Winternitz

  • Are all the equations of the Kadomtsev–Petviashvili hierarchy integrable?

    B. Dorizzi;B. Grammaticos;A. Ramani;P. Winternitz

  • Superintegrability with third order invariants in quantum and classical mechanics

    Simon Gravel;Pavel Winternitz

  • Exact solvability of superintegrable systems

    Piergiulio Tempesta;Alexander V. Turbiner;Pavel Winternitz

  • 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

  • Lie symmetries of a generalised nonlinear Schrodinger equation: I. The symmetry group and its subgroups

    L Gagnon;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

Frequent Co-Authors

Decio Levi
Decio Levi Roma Tre University
Jiri Patera
Jiri Patera University of Montreal
John Harnad
John Harnad University of Montreal
Hans Zassenhaus
Hans Zassenhaus The Ohio State University
Peter J. Olver
Peter J. Olver University of Minnesota
Ernie G. Kalnins
Ernie G. Kalnins University of Waikato
Willard Miller
Willard Miller University of Minnesota
Alfred Ramani
Alfred Ramani Centre national de la recherche scientifique, CNRS
B. Grammaticos
B. Grammaticos University of Paris-Saclay
Charles P. Boyer
Charles P. Boyer University of New Mexico

External Links

Wikipedia of Pavel Winternitz Personal website of Pavel Winternitz

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Best Scientists Citing Pavel Winternitz

Willard Miller

Willard Miller

University of Minnesota

Publications: 83

Angel Ballesteros

Angel Ballesteros

University of Burgos

Publications: 60

José F. Cariñena

José F. Cariñena

University of Zaragoza

Publications: 57

Decio Levi

Decio Levi

Roma Tre University

Publications: 53

Ernie G. Kalnins

Ernie G. Kalnins

University of Waikato

Publications: 49

Peter A. Clarkson

Peter A. Clarkson

University of Kent

Publications: 48

Francisco J. Herranz

Francisco J. Herranz

University of Burgos

Publications: 44

Wen-Xiu Ma

Wen-Xiu Ma

University of South Florida

Publications: 43

Luc Vinet

Luc Vinet

University of Montreal

Publications: 42

Orlando Ragnisco

Orlando Ragnisco

Roma Tre University

Publications: 27

Jiri Patera

Jiri Patera

University of Montreal

Publications: 27

Mariano Santander

Mariano Santander

University of Valladolid

Publications: 26

Fazal M. Mahomed

Fazal M. Mahomed

University of the Witwatersrand

Publications: 23

Peter J. Olver

Peter J. Olver

University of Minnesota

Publications: 23

Hongqing Zhang

Hongqing Zhang

Dalian University of Technology

Publications: 20

Alexei Zhedanov

Alexei Zhedanov

Euler International Mathematical Institute

Publications: 20

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