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D-Index & Metrics

Mathematics

D-Index
44
Citations
13698
World Ranking
1537
National Ranking
663

Vladimir Turaev 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 Vladimir Turaev 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: 193 publications — 59th percentile

59% of scientists in this discipline score the same or lower.

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

Vladimir Turaev 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 Vladimir Turaev 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

  • 2016 - Fellow of the American Mathematical Society For contributions to low-dimensional topology and topological quantum field theory.

Overview

Vladimir Turaev is affiliated with Indiana University in the United States. Their primary research focus lies within the field of mathematics, particularly in geometry and topology, as well as mathematical physics. Their scholarly contributions span over several specialized subfields, including:

  • Geometry and Topology
  • Mathematical Physics
  • Nuclear and High Energy Physics
  • Algebra and Number Theory
  • Computational Theory and Mathematics

The central themes of Turaev's work address topics such as:

  • Homotopy and Cohomology in Algebraic Topology
  • Geometric and Algebraic Topology
  • Algebraic structures and combinatorial models
  • Black Holes and Theoretical Physics
  • Advanced Topology and Set Theory
  • Mathematics and Applications
  • Advanced Topics in Algebra

They have published in several venues, with a particular focus on:

  • arXiv (Cornell University)
  • International Journal of Mathematics
  • Journal of Knot Theory and Its Ramifications

Recent papers authored by Vladimir Turaev include:

  • On 3-dimensional homotopy quantum field theory III: Comparison of two approaches (2020), International Journal of Mathematics
  • Multi-quandles of topological pairs (2022), arXiv (Cornell University)
  • Quasi-Lie bialgebras of loops in quasi-surfaces (2020), arXiv (Cornell University)
  • Knots and links in 2-complexes (2023), arXiv (Cornell University)
  • Strings in metric spaces (2024), arXiv (Cornell University)

Their collaboration network includes frequent co-authors such as:

  • Alexis Virelizier
  • Christian Blanchet

In recognition of their research contributions, Vladimir Turaev was named a Fellow of the American Mathematical Society in 2016, with a citation noting their work in low-dimensional topology and topological quantum field theory.

Best Publications

  • Invariants of 3-manifolds via link polynomials and quantum groups

    N. Reshetikhin;V. G. Turaev

  • Quantum invariants of knots and 3-manifolds

    Vladimir G. Turaev

  • State sum invariants of 3 manifolds and quantum 6j symbols

    V.G. Turaev;O.Y. Viro

  • Ribbon graphs and their invariants derived from quantum groups

    N. Yu. Reshetikhin;V. G. Turaev

  • The Yang-Baxter equation and invariants of links

    V. G. Turaev

  • Skein quantization of Poisson algebras of loops on surfaces

    Vladimir G. Turaev

  • Introduction to Combinatorial Torsions

    Vladimir Turaev

  • Reidemeister torsion in knot theory

    V G Turaev

  • Torsion invariants of $Spin^c$-structures on 3-manifolds

    Vladimir Turaev

  • OPERATOR INVARIANTS OF TANGLES, AND R-MATRICES

    V G Turaev

  • Homotopy field theory in dimension 3 and crossed group-categories

    Vladimir Turaev

  • Quasi-Poisson structures on representation spaces of surfaces

    Gwénaël Massuyeau;Vladimir Turaev

  • Elliptic solutions of the Yang-Baxter equation and modular hypergeometric functions

    Igor B. Frenkel;Vladimir G. Turaev

  • Homotopy Quantum Field Theory

    Vladimir Turaev

  • Monoidal Categories and Topological Field Theory

    Vladimir Turaev;Alexis Virelizier

  • QUANTUM INVARIANTS OF 3-MANIFOLDS ASSOCIATED WITH CLASSICAL SIMPLE LIE ALGEBRAS

    V. Turaev;H. Wenzl

  • Quantum Groups and Knot Invariants

    Christian Kassel;Marc Rosso;Vladimir Turaev

  • Torsions of 3-dimensional Manifolds

    Vladimir Turaev

  • Homotopy field theory in dimension 2 and group-algebras

    Vladimir Turaev

  • Modified quantum dimensions and re-normalized link invariants

    Nathan Geer;Bertrand Patureau-Mirand;Vladimir Turaev

  • EULER STRUCTURES, NONSINGULAR VECTOR FIELDS, AND TORSIONS OF REIDEMEISTER TYPE

    V G Turaev

Frequent Co-Authors

Stavros Garoufalidis
Stavros Garoufalidis Max Planck Institute for Mathematics
Igor B. Frenkel
Igor B. Frenkel Yale University
Dmitri Nikshych
Dmitri Nikshych University of New Hampshire
Jozef H. Przytycki
Jozef H. Przytycki George Washington University
Anatoly Vershik
Anatoly Vershik Saint Petersburg State University

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