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Karl-Theodor Sturm

Karl-Theodor Sturm

D-Index & Metrics

Mathematics

D-Index
30
Citations
7616
World Ranking
3425
National Ranking
211

Karl-Theodor Sturm 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 Karl-Theodor Sturm 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: 132 publications — 28th percentile

28% of scientists in this discipline score the same or lower.

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

Karl-Theodor Sturm 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 Karl-Theodor Sturm 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: 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.

Overview

Karl-Theodor Sturm is affiliated with the University of Bonn in Germany and specializes in research within the broad field of mathematics, with a particular focus on applied mathematics, geometry and topology, and mathematical physics.

Their research encompasses several subfields, including:

  • Applied Mathematics
  • Geometry and Topology
  • Astronomy and Astrophysics
  • Mathematical Physics
  • Computational Mechanics

Main topics addressed in their work include:

  • Geometric Analysis and Curvature Flows
  • Geometry and Complex Manifolds
  • Advanced Differential Geometry Research
  • Nonlinear Partial Differential Equations
  • Stochastic Processes and Statistical Mechanics
  • Point Processes and Geometric Inequalities
  • Cosmology and Gravitation Theories

Karl-Theodor Sturm has contributed to multiple publication venues, with notable frequency in:

  • arXiv (Cornell University)
  • Journal of the London Mathematical Society
  • Calculus of Variations and Partial Differential Equations
  • Oberwolfach Reports
  • Memoirs of the American Mathematical Society

Some recent papers authored or co-authored include:

  • The Space of Spaces: Curvature Bounds and Gradient Flows on the Space of Metric Measure Spaces, 2023, Memoirs of the American Mathematical Society
  • Remarks about synthetic upper Ricci bounds for metric measure spaces, 2021, Tohoku Mathematical Journal
  • Heat flow with Dirichlet boundary conditions via optimal transport and gluing of metric measure spaces, 2020, Calculus of Variations and Partial Differential Equations
  • Functional inequalities for the heat flow on time-dependent metric measure spaces, 2021, Journal of the London Mathematical Society
  • Tamed spaces - Dirichlet spaces with distribution-valued Ricci bounds, 2022, Journal de Mathématiques Pures et Appliquées

Frequent collaborators in their research include:

  • Eva Kopfer
  • Lorenzo Dello Schiavo
  • Matthias Erbar
  • Ronan Herry
  • Chiara Rigoni

Best Publications

  • On the geometry of metric measure spaces

    Unknown

  • On the geometry of metric measure spaces. II

    Karl-Theodor Sturm

  • Transport inequalities, gradient estimates, entropy and Ricci curvature

    Max-K. von Renesse;Max-K. von Renesse;Karl-Theodor Sturm

  • ON THE EQUIVALENCE OF THE ENTROPIC CURVATURE-DIMENSION CONDITION AND BOCHNER'S INEQUALITY ON METRIC MEASURE SPACES

    Matthias Erbar;Kazumasa Kuwada;Karl Theodor Sturm

  • Probability Measures on Metric Spaces of Nonpositive Curvature

    Unknown

  • Analysis on local Dirichlet spaces. I. Recurrence, conservativeness and Lp-Liouville properties.

    Karl-Theodor Sturm

  • Analysis on local Dirichlet spaces. III. The parabolic Harnack inequality

    K. T. Sturm

  • Analysis on local Dirichlet spaces. II. Upper Gaussian estimates for the fundamental solutions of parabolic equations

    Karl-Theodor Sturm

  • Localization and Tensorization Properties of the Curvature-Dimension Condition for Metric Measure Spaces

    Kathrin Bacher;Karl-Theodor Sturm

  • Heat flow on Finsler manifolds

    Shin-ichi Ohta;Karl-Theodor Sturm

  • Non-branching geodesics and optimal maps in strong \(CD(K,\infty )\)-spaces

    Tapio Rajala;Karl-Theodor Sturm

  • Bochner–Weitzenböck formula and Li–Yau estimates on Finsler manifolds

    Shin-ichi Ohta;Karl-Theodor Sturm

  • Diffusion processes and heat kernels on metric spaces

    K. T. Sturm

  • Mass transportation and rough curvature bounds for discrete spaces

    Anca-Iuliana Bonciocat;Karl-Theodor Sturm

  • Entropic measure and Wasserstein diffusion

    Max-K. von Renesse;Karl-Theodor Sturm

  • Convex functionals of probability measures and nonlinear diffusions on manifolds

    Karl-Theodor Sturm

  • On the Lp-Spectrum of Uniformly Elliptic Operators on Riemannian Manifolds

    K.T. Sturm

  • The space of spaces: curvature bounds and gradient flows on the space of metric measure spaces

    Karl-Theodor Sturm

  • Optimal Maps and Exponentiation on Finite-Dimensional Spaces with Ricci Curvature Bounded from Below

    Nicola Gigli;Nicola Gigli;Tapio Rajala;Karl-Theodor Sturm

  • Local curvature-dimension condition implies measure-contraction property

    Fabio Cavalletti;Karl-Theodor Sturm

  • ON THE GEOMETRY DEFINED BY DIRICHLET FORMS

    Karl-Theodor Sturm

  • Nonlinear martingale theory for processes with values in metric spaces of nonpositive curvature

    Karl-Theodor Sturm

  • New Directions in Dirichlet Forms

    Jürgen Jost;Wilfrid Kendall;Umberto Mosco;Michael Röckner

Frequent Co-Authors

Michael Röckner
Michael Röckner Bielefeld University
Jürgen Jost
Jürgen Jost Max Planck Institute for Mathematics in the Sciences
Nicola Gigli
Nicola Gigli International School for Advanced Studies
Takashi Kumagai
Takashi Kumagai Waseda University
Martin Rumpf
Martin Rumpf University of Bonn
Laurent Saloff-Coste
Laurent Saloff-Coste Cornell University
Felix Otto
Felix Otto Max Planck Institute for Mathematics in the Sciences

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