World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
44
Citations
8076
World Ranking
1585
National Ranking
58

Jiri Patera 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 Jiri Patera 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: 235 publications — 73rd percentile

73% of scientists in this discipline score the same or lower.

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

Jiri Patera 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 Jiri Patera 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: 44 D-Index — 58th percentile

58% of scientists in this discipline score the same or lower.

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

Research.com Recognitions

  • 2004 - CAP-CRM Prize in Theoretical and Mathematical Physics, Canadian Association of Physicists and Centre de Recherches Mathématiques

Overview

Jiri Patera is affiliated with the University of Montreal in Canada. Their research spans multiple subfields of study, including Applied Mathematics, Mathematical Physics, Electrical and Electronic Engineering, Control and Systems Engineering, and Statistical and Nonlinear Physics.

Their recent publications cover topics primarily focused on mathematical analysis, algebra, geometry, and dynamical systems. Some of the main research topics associated with their work include:

  • Mathematical Analysis and Transform Methods
  • Advanced Algebra and Geometry
  • Graph Theory and CDMA Systems
  • Stability and Controllability of Differential Equations
  • Quantum Chaos and Dynamical Systems
  • Nonlinear Dynamics and Pattern Formation

Jiri Patera has contributed to several recent papers published between 2020 and 2023. These include:

  • "Central Splitting of A2 Discrete Fourier-Weyl Transforms", 2020, Symmetry
  • "Orthonormal Bases on \(L^2(\mathbb{R}^+)\)", 2020, arXiv (Cornell University)
  • "Orthonormal Bases on \(L^2(\mathbb{R}^+)\)", 2023, Journal of Advances in Mathematics and Computer Science
  • "Asymmetric harmonic oscillator", 2022, arXiv (Cornell University)

The most frequent publication venues for their work are:

  • arXiv (Cornell University)
  • Symmetry
  • Journal of Advances in Mathematics and Computer Science

Collaborations have been an integral part of their research, with several frequent co-authors including:

  • Goce Chadzitaskos
  • M. Havlíček
  • Jiří Hrivnák
  • Mariia Myronova

In 2004, Jiri Patera received the CAP-CRM Prize in Theoretical and Mathematical Physics, awarded by the Canadian Association of Physicists and Centre de Recherches Mathématiques.

Best Publications

  • Invariants of real low dimension Lie algebras

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

  • Tables of Dimensions, Indices, and Branching Rules for Representations of Simple Lie Algebras

    Wendy G McKay;Jiri Patera

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

    J. Patera;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

  • Quasicrystals and icosians

    R V Moody;J Patera

  • 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

  • Tables of Dominant Weight Multiplicities for Representations of Simple Lie Algebras

    M. R. Bremner;R. V. Moody;Jiri Patera

  • Discrete and continuous graded contractions of Lie algebras and superalgebras

    M de Montigny;J Patera

  • Discrete and continuous graded contractions of representations of Lie algebras

    R V Moody;J Patera

  • Characters of Elements of Finite Order in Lie Groups

    R. V. Moody;J. Patera

  • The Pauli matrices in n dimensions and finest gradings of simple Lie algebras

    Unknown

  • Continuous subgroups of the fundamental groups of physics. III. The de Sitter groups

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

  • Normal forms of elements of classical real and complex Lie and Jordan algebras

    D. Ž. Djoković;J. Patera;P. Winternitz;H. Zassenhaus

  • Subgroups of the Poincaré group and their invariants

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

  • The higher rank Virasoro algebras

    J. Patera;H. Zassenhaus

  • Affine Lie algebras, weight multiplicities, and branching rules

    Sam Kass;R. V. Moody;Jiri Patera;R. Slansky

  • Polynomial irreducible tensors for point groups

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

  • E-Orbit Functions

    Anatoliy U. Klimyk;Jiri Patera

  • On Lie gradings II

    Unknown

  • Fast recursion formula for weight multiplicities

    R. V. Moody;J. Patera

  • Continuous subgroups of the fundamental groups of physics. II. The similitude group

    J. Patera;P. Winternitz;H. Zassenhaus

Frequent Co-Authors

Pavel Winternitz
Pavel Winternitz University of Montreal
Robert V. Moody
Robert V. Moody University of Victoria
Hans Zassenhaus
Hans Zassenhaus The Ohio State University
David Sankoff
David Sankoff University of Ottawa
Willard Miller
Willard Miller University of Minnesota
Neil A. Dodgson
Neil A. Dodgson Victoria University of Wellington
Ernie G. Kalnins
Ernie G. Kalnins University of Waikato
John Harnad
John Harnad University of Montreal
Jean-Pierre Gazeau
Jean-Pierre Gazeau Université Paris Cité

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 interested in Mathematics, expanding into related disciplines can enhance career prospects. Many graduates explore business and technology fields, where analytical skills are highly valued. Pursuing an fastest online MBA programs allows for quick advancement, combining mathematical expertise with leadership skills to open doors in management roles.

Digital marketing is another growing area where data-driven decision-making is crucial. A masters in digital marketing offers specialized knowledge to leverage analytical insights into effective marketing strategies, aligning well with a mathematical background.

Time is often a consideration, which is why some students prefer year long MBA programs. These intensive courses provide comprehensive business education without a long-term commitment, ideal for those eager to enter the workforce or pivot careers swiftly.

Additionally, flexibility is key for many learners. Online MBA programs that accept transfer credits allow students to build upon previous coursework, saving time and money. Exploring online MBA accepting transfer credits options can be a strategic choice for managing educational pathways effectively.

Best Scientists Citing Jiri Patera

Trending Scientists

Recently Published Articles