World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
46
Citations
8524
World Ranking
1360
National Ranking
18

Gerald Teschl 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 Gerald Teschl 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: 202 publications — 63rd percentile

63% of scientists in this discipline score the same or lower.

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

Gerald Teschl 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 Gerald Teschl 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: 46 D-Index — 64th percentile

64% 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

  • 1997 - Ludwig Boltzmann Prize, Austrian Physical Society

Overview

Gerald Teschl is affiliated with the University of Vienna in Austria and has a research focus primarily in the fields of Mathematics and Physics and Astronomy. Their work extensively covers subfields such as Statistical and Nonlinear Physics, Mathematical Physics, General Health Professions, Numerical Analysis, and Artificial Intelligence.

The scientist's research topics include Nonlinear Waves and Solitons, Advanced Mathematical Physics Problems, Spectral Theory in Mathematical Physics, Nonlinear Photonic Systems, Differential Equations and Numerical Methods, Quantum Chaos and Dynamical Systems, and Hermeneutics and Narrative Identity.

Gerald Teschl has contributed to a range of recent publications. Notable papers include:

  • Closed-form continuous-time neural networks, 2022, Nature Machine Intelligence
  • A Riemann-Hilbert approach to the modified Camassa-Holm equation with step-like boundary conditions, 2022, arXiv (Cornell University)
  • Soliton asymptotics for the KdV shock problem via classical inverse scattering, 2022, Journal of Mathematical Analysis and Applications
  • Asymptotics of KdV shock waves via the Riemann-Hilbert approach, 2024, Indiana University Mathematics Journal
  • Long-time asymptotics for Toda shock waves in the modulation region, 2023, Zurnal matematiceskoj fiziki analiza geometrii

The scientist frequently publishes in venues such as:

  • arXiv (Cornell University)
  • Nature Machine Intelligence
  • Journal of Mathematical Analysis and Applications
  • Indiana University Mathematics Journal
  • Zurnal matematiceskoj fiziki analiza geometrii

Collaborations are a significant aspect of their academic work, with frequent coauthors including Iryna Egorova, Johanna Michor, Jussi Behrndt, Philipp Schmitz, and Carsten Trunk. These collaborations span multiple research efforts, reflecting ongoing partnerships in the discipline.

Gerald Teschl was awarded the Ludwig Boltzmann Prize by the Austrian Physical Society in 1997, marking a recognized achievement within their scientific community.

Best Publications

  • Ordinary Differential Equations and Dynamical Systems

    Gerald Teschl

  • Jacobi Operators and Completely Integrable Nonlinear Lattices

    Gerald Teschl

  • Mathematical Methods in Quantum Mechanics

    Gerald Teschl

  • Long-Time Asymptotics for the Camassa-Holm Equation

    Anne Boutet de Monvel;Aleksey Kostenko;Dmitry Shepelsky;Gerald Teschl

  • Long-Time Asymptotics for the Korteweg–de Vries Equation via Nonlinear Steepest Descent

    Katrin Grunert;Gerald Teschl;Gerald Teschl

  • A mathematical model for breath gas analysis of volatile organic compounds with special emphasis on acetone

    Julian King;Karl Unterkofler;Karl Unterkofler;Gerald Teschl;Susanne Teschl

  • Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials

    Jonathan Eckhardt;Fritz Gesztesy;Roger Nichols;Gerald Teschl

  • Algebro-geometric quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies

    W. Bulla;F. Gesztesy;H. Holden;G. Teschl

  • LONG-TIME ASYMPTOTICS OF THE TODA LATTICE FOR DECAYING INITIAL DATA REVISITED

    Helge Krüger;Gerald Teschl

  • Long-time asymptotics for the Korteweg–de Vries equation with step-like initial data

    Iryna Egorova;Zoya Gladka;Volodymyr Kotlyarov;Gerald Teschl;Gerald Teschl

  • Spectral theory for perturbed Krein Laplacians in nonsmooth domains

    Mark S. Ashbaugh;Fritz Gesztesy;Marius Mitrea;Gerald Teschl

  • On the double commutation method

    F. Gesztesy;G. Teschl;G. Teschl

  • Zeros of the Wronskian and renormalized oscillation theory

    F. Gesztesy;B. Simon;G. Teschl

  • On Fourier Transforms of Radial Functions and Distributions

    Loukas Grafakos;Gerald Teschl;Gerald Teschl

  • Soliton Equations and their Algebro-Geometric Solutions: Contents

    Fritz Gesztesy;Helge Holden;Johanna Michor;Gerald Teschl

  • Weyl–Titchmarsh Theory for Schrödinger Operators with Strongly Singular Potentials

    Aleksey Kostenko;Alexander Sakhnovich;Gerald Teschl;Gerald Teschl

  • Oscillation Theory and Renormalized Oscillation Theory for Jacobi Operators

    Gerald Teschl

  • Sturm-Liouville operators with measure-valued coefficients

    Jonathan Eckhardt;Gerald Teschl;Gerald Teschl

  • Long-Time Asymptotics for the Korteweg-de Vries Equation with Steplike Initial Data

    Iryna Egorova;Zoya Gladka;Volodymyr Kotlyarov;Gerald Teschl

  • Long-Time Asymptotics of the Toda Lattice for Decaying Initial Data Revisited

    Helge Krueger;Gerald Teschl

  • Commutation Methods for Jacobi Operators

    F. Gesztesy;G. Teschl;G. Teschl

  • On the singular Weyl–Titchmarsh function of perturbed spherical Schrödinger operators☆

    Aleksey Kostenko;Gerald Teschl;Gerald Teschl

  • Long-time asymptotics for the Toda lattice in the soliton region

    Helge Krüger;Gerald Teschl;Gerald Teschl

Frequent Co-Authors

Fritz Gesztesy
Fritz Gesztesy Baylor University
Helge Holden
Helge Holden Norwegian University of Science and Technology
Anton Amann
Anton Amann Innsbruck Medical University
Marius Mitrea
Marius Mitrea Baylor University
Barry Simon
Barry Simon California Institute of Technology
Gerhard Rein
Gerhard Rein University of Bayreuth
Anne Boutet de Monvel
Anne Boutet de Monvel Université Paris Cité
Birgit Frauscher
Birgit Frauscher Duke University
Birgit Högl
Birgit Högl Innsbruck Medical University
Loukas Grafakos
Loukas Grafakos University of Missouri

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