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Tobias H. Colding

Tobias H. Colding

D-Index & Metrics

Mathematics

D-Index
41
Citations
9519
World Ranking
1873
National Ranking
800

Tobias H. Colding 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 Tobias H. Colding 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: 118 publications — 20th percentile

20% of scientists in this discipline score the same or lower.

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

Tobias H. Colding 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 Tobias H. Colding 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: 41 D-Index — 49th percentile

49% 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

  • 2008 - Fellow of the American Academy of Arts and Sciences
  • 1996 - Fellow of Alfred P. Sloan Foundation

Overview

Tobias H. Colding is affiliated with MIT in the United States and contributes extensively to the field of mathematics. Their research focuses predominantly on applied mathematics, geometry and topology, and mathematical physics, alongside subfields such as astronomy, astrophysics, and computational theory related to mathematics.

The scholar's work is categorized under several main topics, including:

  • Geometric Analysis and Curvature Flows
  • Geometry and complex manifolds
  • Nonlinear Partial Differential Equations
  • Mathematical Dynamics and Fractals
  • Advanced Differential Geometry Research
  • Advanced Operator Algebra Research
  • Geometric and Algebraic Topology

They frequently publish in notable venues such as:

  • Journal für die reine und angewandte Mathematik (Crelles Journal)
  • arXiv (Cornell University)
  • Publications mathématiques de l IHÉS
  • Advanced Nonlinear Studies
  • Duke Mathematical Journal

Recent papers authored by Tobias H. Colding include:

  • Optimal bounds for ancient caloric functions, 2021, Duke Mathematical Journal
  • Complexity of parabolic systems, 2020, Publications mathématiques de l IHÉS
  • Regularity of elliptic and parabolic systems, 2024, Annales Scientifiques de l'École Normale Supérieure
  • Wandering singularities, 2021, Journal of Differential Geometry
  • Singularities and diffeomorphisms, 2022, Notices of the International Consortium of Chinese Mathematicians

The list of frequent co-authors includes:

  • Daniel Huybrechts
  • Jun-Muk Hwang
  • Joachim Cuntz
  • David Masser
  • Franz Stückle

Their publication record encompasses 54 papers primarily in mathematics, with 27 focused on applied mathematics, 15 on geometry and topology, and 12 on mathematical physics.

Awards received by Tobias H. Colding include:

  • Fellow of the American Academy of Arts and Sciences, 2008
  • Fellow of Alfred P. Sloan Foundation, 1996

Best Publications

  • On the structure of spaces with Ricci curvature bounded below. I

    Jeff Cheeger;Tobias H. Colding

  • Lower bounds on Ricci curvature and the almost rigidity of warped products

    Jeff Cheeger;Tobias H. Colding

  • Generic mean curvature flow I; generic singularities

    Tobias H. Colding;William P. Minicozzi

  • Ricci curvature and volume convergence

    Tobias H. Colding

  • A Course in Minimal Surfaces

    Tobias H. Colding;William P. Minicozzi

  • Sharp Holder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications

    Tobias Colding;Aaron Charles Naber

  • On the singularities of spaces with bounded Ricci curvature

    J. Cheeger;T.H. Colding;G. Tian

  • HARMONIC FUNCTIONS ON MANIFOLDS

    Tobias H. Colding;William P. Minicozzi

  • The space of embedded minimal surfaces of fixed genus in a 3-manifold IV; Locally simply connected

    Tobias H. Colding;William P. Minicozzi

  • The Calabi-Yau conjectures for embedded surfaces

    Tobias H. Colding;William P. Minicozzi

  • The space of embedded minimal surfaces of fixed genus in a 3-manifold I; Estimates off the axis for disks

    Tobias H. Colding;William P. Minicozzi

  • The space of embedded minimal surfaces of fixed genus in a 3-manifold II; Multi-valued graphs in disks

    Tobias H. Colding;William P. Minicozzi

  • Uniqueness of blowups and Łojasiewicz inequalities

    Tobias Holck Colding;William P. Minicozzi

  • Shape of manifolds with positive Ricci curvature

    Tobias H. Colding

  • Harmonic functions with polynomial growth

    Tobias H. Colding;William P. Minicozzi

  • The space of embedded minimal surfaces of fixed genus in a 3-manifold III; Planar domains

    Tobias H. Colding;William P. Minicozzi

  • Large manifolds with positive Ricci curvature

    Tobias H. Colding

  • LIOUVILLE THEOREMS FOR HARMONIC SECTIONS AND APPLICATIONS

    Tobias H. Colding;William P. Minicozzi

  • Estimates for the extinction time for the Ricci flow on certain 3-manifolds and a question of Perelman

    Tobias H. Colding;William P. Minicozzi

  • Smooth compactness of self-shrinkers

    Tobias H. Colding;William P. Minicozzi Ii

  • The min--max construction of minimal surfaces

    Tobias H. Colding;Camillo De Lellis

Frequent Co-Authors

Jeff Cheeger
Jeff Cheeger Courant Institute of Mathematical Sciences
Camillo De Lellis
Camillo De Lellis Institute for Advanced Study
Bruce Kleiner
Bruce Kleiner Courant Institute of Mathematical Sciences
Gang Tian
Gang Tian Peking University
Brian White
Brian White Stanford University
Stevo Todorcevic
Stevo Todorcevic University of Toronto

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