World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
30
Citations
4258
World Ranking
3491
National Ranking
1356

Serge Tabachnikov 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 Serge Tabachnikov 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: 82 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: 293 publications — 85th percentile

85% of scientists in this discipline score the same or lower.

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

Serge Tabachnikov 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 Serge Tabachnikov 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: 137 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: 30 D-Index — 5th percentile

5% 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

  • 2013 - Fellow of the American Mathematical Society

Overview

Serge Tabachnikov is affiliated with Pennsylvania State University in the United States and works primarily within the field of Mathematics. Their research spans a number of specific subfields, including Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics, Computational Mechanics, and Applied Mathematics.

The research topics covered by Tabachnikov include Mathematics and Applications, Mathematical Dynamics and Fractals, Advanced Differential Equations and Dynamical Systems, Quantum Chaos and Dynamical Systems, Geometric and Algebraic Topology, Advanced Numerical Analysis Techniques, and Point Processes and Geometric Inequalities.

Recent publications by Serge Tabachnikov feature collaborations and contributions in various venues. Notable papers include:

  • "Variations on the Tait-Kneser Theorem," 2021, The Mathematical Intelligencer
  • "Billiards in ellipses revisited," 2020, European Journal of Mathematics
  • "Open Problems on Billiards and Geometric Optics," 2022, Arnold Mathematical Journal
  • "Differential Geometry of Space Curves: Forgotten Chapters," 2023, The Mathematical Intelligencer
  • "Self-Bäcklund curves in centroaffine geometry and Lamé's equation," 2022, Communications of the American Mathematical Society

Tabachnikov has published extensively, with frequent contributions to several venues. These include:

  • arXiv (Cornell University)
  • The Mathematical Intelligencer
  • European Journal of Mathematics
  • Journal of Experimental Mathematics
  • Arnold Mathematical Journal

The scientist has frequently collaborated with several other researchers, including Gil Bor, Maxim Arnold, Misha Bialy, Peter Albers, and Richard Evan Schwartz.

In recognition of their contributions to the field of mathematics, Serge Tabachnikov was named a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Geometry and billiards

    Serge Tabachnikov

  • Rational billiards and flat structures

    Howard Masur;Serge Tabachnikov

  • Projective differential geometry old and new : from the Schwarzian derivative to the cohomology of diffeomorphism groups

    V. Ovsienko;Serge Tabachnikov

  • Chapter 13 Rational billiards and flat structures

    Howard Masur;Serge Tabachnikov

  • Invariants of Legendrian and transverse knots in the standard contact space

    Dmitry Fuchs;Dmitry Fuchs;Serge Tabachnikov;Serge Tabachnikov

  • The Pentagram Map: A Discrete Integrable System

    Valentin Ovsienko;Richard Schwartz;Sergei Tabachnikov

  • Topological robotics: Motion planning in projective spaces

    Michael Farber;Serge Tabachnikov;Sergey Yuzvinsky

  • Mathematical Omnibus: Thirty Lectures on Classic Mathematics

    Dmitrij B. Fuks;Serge Tabachnikov

  • MORE ON PAPERFOLDING

    Dmitry Fuchs;Serge Tabachnikov

  • Pseudo-Riemannian geodesics and billiards

    Boris Khesin;Serge Tabachnikov

  • What is ⋯ the schwarzian derivative?

    Valentin Ovsienko;Sergei Tabachnikov

  • On the Dual Billiard Problem

    Unknown

  • Liouville–Arnold integrability of the pentagram map on closed polygons

    Valentin Ovsienko;Richard Evan Schwartz;Serge Tabachnikov

  • Billiards in Finsler and Minkowski geometries

    Eugene Gutkin;Serge Tabachnikov

  • Tractrices, Bicycle Tire Tracks, Hatchet Planimeters, and a 100-year-old Conjecture

    Robert Foote;Mark Levi;Serge Tabachnikov

  • The Poncelet Grid and Billiards in Ellipses

    Unknown

  • 2-frieze patterns and the cluster structure of the space of polygons

    Sophie Morier-Genoud;Valentin Ovsienko;Serge Tabachnikov

  • Geodesics on an ellipsoid in Minkowski space

    Daniel Genin;Boris Khesin;Serge Tabachnikov

  • TIRE TRACK GEOMETRY: VARIATIONS ON A THEME

    Serge Tabachnikov

  • Projective Differential Geometry Old and New

    Unknown

  • Dan Reznik’s identities and more

    Misha Bialy;Serge Tabachnikov

  • Higher pentagram maps, weighted directed networks, and cluster dynamics

    Michael Gekhtman;Michael Shapiro;Serge Tabachnikov;Alek Vainshtein

  • Topology of cyclic configuration spaces and periodic trajectories of multi-dimensional billiards

    Michael Farber;Serge Tabachnikov

  • Projectively equivalent metrics, exact transverse line fields and the geodesic flow on the ellipsoid

    Serge Tabachnikov

  • Differential topology, infinite-dimensional Lie algebras, and applications : D.B. Fuchs' 60th anniversary collection

    Alexander Astashkevich;Serge Tabachnikov

  • Arithmetical properties of binomial coefficients

    Dmitry Fuchs;Serge Tabachnikov

Frequent Co-Authors

Valentin Ovsienko
Valentin Ovsienko University of Reims Champagne-Ardenne
Howard Masur
Howard Masur University of Chicago
Günter M. Ziegler
Günter M. Ziegler Freie Universität Berlin
Alexander Belyaev
Alexander Belyaev Heriot-Watt University
Anatole Katok
Anatole Katok Pennsylvania State University
Helmut Hofer
Helmut Hofer Institute for Advanced Study
Yakov Eliashberg
Yakov Eliashberg Stanford University

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