World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
60
Citations
24713
World Ranking
537
National Ranking
276

Richard Schoen 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 Richard Schoen 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: 103 publications — 12th percentile

12% of scientists in this discipline score the same or lower.

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

Richard Schoen 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 Richard Schoen 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: 60 D-Index — 85th percentile

85% 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

  • 2017 - Rolf Schock Prize for Mathematics
  • 2017 - Wolf Prize in Mathematics for his contributions to geometric analysis and the understanding of the interconnectedness of partial differential equations and differential geometry.
  • 2013 - Fellow of the American Mathematical Society
  • 1996 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1994 - Fellow of the American Association for the Advancement of Science (AAAS)
  • 1991 - Member of the National Academy of Sciences
  • 1988 - Fellow of the American Academy of Arts and Sciences
  • 1979 - Fellow of Alfred P. Sloan Foundation

Overview

Richard Schoen is affiliated with the University of California, Irvine, United States. Their research primarily falls within the field of Mathematics, with a focus on subfields such as Applied Mathematics, Geometry and Topology, Computational Theory and Mathematics, and Mathematical Physics.

The main topics they have worked on include:

  • Geometric Analysis and Curvature Flows
  • Geometry and complex manifolds
  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Geometric and Algebraic Topology
  • Homotopy and Cohomology in Algebraic Topology

Recent publications highlight collaboration and a focus on partial differential equations and geometric analysis. Some notable papers are:

  • "Partial Differential Equations," 2020, Oberwolfach Reports
  • "Some results on higher eigenvalue optimization," 2020, Calculus of Variations and Partial Differential Equations
  • "Partial Differential Equations," 2022, Oberwolfach Reports
  • "Preface to Peter Li Volume," 2022, Journal of Geometric Analysis
  • "Stability and largeness properties of minimal surfaces in higher codimension," 2023, arXiv (Cornell University)

Frequent co-authors working with Schoen include:

  • Ailana Fraser
  • Guido De Philippis
  • Peter M. Topping
  • Felix Schulze
  • Jaigyoung Choe

Publishing venues where Schoen's work often appears are:

  • arXiv (Cornell University)
  • Oberwolfach Reports
  • Calculus of Variations and Partial Differential Equations
  • Journal of Geometric Analysis
  • Journal of the European Mathematical Society

Throughout their career, Schoen has received several awards and honors, including:

  • Rolf Schock Prize for Mathematics (2017)
  • Wolf Prize in Mathematics (2017) for contributions to geometric analysis and the understanding of interconnected partial differential equations and differential geometry
  • Fellow of the American Mathematical Society (2013)
  • Fellow of John Simon Guggenheim Memorial Foundation (1996)
  • Fellow of the American Association for the Advancement of Science (AAAS) (1994)
  • Member of the National Academy of Sciences (1991)
  • Fellow of the American Academy of Arts and Sciences (1988)
  • Fellow of Alfred P. Sloan Foundation (1979)

Best Publications

  • Conformal deformation of a Riemannian metric to constant scalar curvature

    Richard Schoen

  • On the proof of the positive mass conjecture in general relativity

    Richard Schoen;Shing Tung Yau

  • Lectures on Differential Geometry

    Richard M. Schoen;Shing Tung Yau

  • The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature

    Doris Fischer-Colbrie;Richard Schoen

  • A regularity theory for harmonic maps

    Richard Schoen;Karen Uhlenbeck

  • Proof of the positive mass theorem. II

    Richard Schoen;Shing Tung Yau

  • Variational theory for the total scalar curvature functional for riemannian metrics and related topics

    Richard M. Schoen

  • On the structure of manifolds with positive scalar curvature

    Richard Schoen;Shing-Tung Yau

  • Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature

    R. Schoen;Shing-Tung Yau

  • Sobolev spaces and harmonic maps for metric space targets

    Nicholas J. Korevaar;Richard M. Schoen

  • Harmonic maps into singular spaces and $p$ -adic superrigidity for lattices in groups of rank one

    Mikhail Gromov;Richard Schoen

  • Boundary regularity and the Dirichlet problem for harmonic maps

    Richard Schoen;Karen Uhlenbeck

  • Conformally flat manifolds, Kleinian groups and scalar curvature

    R. Schoen;S. T. Yau

  • Uniqueness, symmetry, and embeddedness of minimal surfaces

    Richard M. Schoen

  • Curvature estimates for minimal hypersurfaces

    R. Schoen;L. Simon;S. T. Yau

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

    Simon Brendle;Richard M. Schoen

  • Regularity of stable minimal hypersurfaces

    Richard Schoen;Leon Simon

  • A Generalization of Hawking's Black Hole Topology Theorem to Higher Dimensions

    Gregory J. Galloway;Richard Schoen

  • Lectures on Harmonic Maps

    Richard M. Schoen;Shing Tung Yau

  • Analytic Aspects of the Harmonic Map Problem

    Richard M. Schoen

Frequent Co-Authors

Shing-Tung Yau
Shing-Tung Yau Tsinghua University
Simon Brendle
Simon Brendle Columbia University
Leon Simon
Leon Simon Stanford University
Karen Uhlenbeck
Karen Uhlenbeck The University of Texas at Austin
Dominic Joyce
Dominic Joyce University of Oxford
Mikhael Gromov
Mikhael Gromov Institut des Hautes Études Scientifiques
Jürgen Jost
Jürgen Jost Max Planck Institute for Mathematics in the Sciences
Rafe Mazzeo
Rafe Mazzeo Stanford University
Piotr T. Chruściel
Piotr T. Chruściel University of Vienna
Gary W. Gibbons
Gary W. Gibbons University of Cambridge

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