World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
43
Citations
6299
World Ranking
1720
National Ranking
740

Simon Brendle 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 Simon Brendle 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: 113 publications — 17th percentile

17% of scientists in this discipline score the same or lower.

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

Simon Brendle 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 Simon Brendle 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: 43 D-Index — 54th percentile

54% 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

  • 2006 - Fellow of Alfred P. Sloan Foundation

Overview

Simon Brendle is affiliated with Columbia University in the United States. Their research spans fields primarily within Mathematics, focusing on areas such as Applied Mathematics, Geometry and Topology, and Mathematical Physics. Their work encompasses significant contributions to Geometric Analysis and Curvature Flows, Geometry and Complex Manifolds, Nonlinear Partial Differential Equations, and related mathematical domains.

The scientist's publication record includes numerous papers appearing in respected venues. Frequent publication outlets include arXiv (Cornell University), Journal für die reine und angewandte Mathematik (Crelles Journal), Communications on Pure and Applied Mathematics, Geometry & Topology, and Inventiones Mathematicae.

Their most cited recent works include:

  • The isoperimetric inequality for a minimal submanifold in Euclidean space (2020, Journal of the American Mathematical Society)
  • Sobolev Inequalities in Manifolds with Nonnegative Curvature (2022, Communications on Pure and Applied Mathematics)
  • Ancient solutions to the Ricci flow in dimension 3 (2020, Acta Mathematica)
  • Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions (2021, Geometry & Topology)
  • Unique Asymptotics of Compact Ancient Solutions to Three-Dimensional Ricci Flow (2020, Communications on Pure and Applied Mathematics)

Collaboration has been a feature of their research, with frequent co-authors including Keaton Naff, Panagiota Daskalopoulos, Nataša Šešum, Bernhard Hanke, and Yipeng Wang.

Their research topics also cover Point processes and geometric inequalities, Numerical methods in inverse problems, Mathematical Dynamics and Fractals, and Advanced Mathematical Modeling in Engineering, indicating a strong interdisciplinary approach within mathematical sciences.

Simon Brendle received the designation of Fellow of the Alfred P. Sloan Foundation in 2006.

Best Publications

  • Manifolds with 1/4-pinched curvature are space forms

    Simon Brendle;Richard M. Schoen

  • Blow-up phenomena for the Yamabe equation

    Simon Brendle

  • Constant mean curvature surfaces in warped product manifolds

    Simon Brendle

  • Convergence of the Yamabe flow for arbitrary initial energy

    Simon Brendle

  • Rotational symmetry of self-similar solutions to the Ricci flow

    Simon Brendle

  • Blow-up phenomena for the Yamabe equation II

    Simon Brendle;Fernando C. Marques

  • Embedded minimal tori in S3 and the Lawson conjecture

    Simon Brendle

  • Convergence of the Yamabe flow in dimension 6 and higher

    Simon Brendle

  • Asymptotic behavior of flows by powers of the Gaussian curvature

    Simon Brendle;Kyeongsu Choi;Panagiota Daskalopoulos

  • Classification of manifolds with weakly 1/4-pinched curvatures

    Simon Brendle;Richard M. Schoen

  • A Minkowski Inequality for Hypersurfaces in the Anti-de Sitter-Schwarzschild Manifold

    Simon Brendle;Pei Ken Hung;Mu Tao Wang

  • Embedded self-similar shrinkers of genus $0$

    Simon Brendle

  • Ricci Flow and the Sphere Theorem

    Simon Brendle

  • Portfolio selection under incomplete information

    Simon Brendle

  • Global existence and convergence for a higher order flow in conformal geometry

    Simon Brendle

  • Deformations of the hemisphere that increase scalar curvature

    Simon Brendle;Fernando C. Marques;Andre Neves

  • An existence theorem for the Yamabe problem on manifolds with boundary

    Simon Brendle;Szu-Yu Sophie Chen

  • Rigidity of area-minimizing two-spheres in three-manifolds

    Hubert Bray;Simon Brendle;Andre Neves

  • Einstein manifolds with nonnegative isotropic curvature are locally symmetric

    Simon Brendle

  • Rotational symmetry of Ricci solitons in higher dimensions

    Simon Brendle

  • A general convergence result for the Ricci flow in higher dimensions

    Simon Brendle

  • Ricci Flat Kähler Metrics with Edge Singularities

    Simon Brendle

Frequent Co-Authors

Richard Schoen
Richard Schoen University of California, Irvine
Sigurd B. Angenent
Sigurd B. Angenent University of Wisconsin–Madison

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