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D-Index & Metrics

Mathematics

D-Index
44
Citations
5650
World Ranking
1626
National Ranking
696

Claude LeBrun 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 Claude LeBrun 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: 117 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.

Claude LeBrun 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 Claude LeBrun 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: 44 D-Index — 58th percentile

58% 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

  • 2013 - Fellow of the American Mathematical Society

Overview

Claude LeBrun is a researcher affiliated with Stony Brook University in the United States. Their work is primarily situated within the field of Mathematics, with a significant focus on Geometry and Topology as well as Applied Mathematics. Other areas of study associated with their research include Astronomy and Astrophysics, Mathematical Physics, and General Health Professions.

The scientist's research topics cover a range of subjects in mathematics, particularly centered on geometry and complex manifolds, geometric analysis and curvature flows, advanced differential geometry research, and geometric and algebraic topology. Additional topics include homotopy and cohomology in algebraic topology, algebraic geometry and number theory, and holomorphic and operator theory.

Claude LeBrun has numerous publications in several notable venues. Frequent publication outlets include:

  • arXiv (Cornell University)
  • Symmetry Integrability and Geometry Methods and Applications
  • Communications in Analysis and Geometry
  • Mathematical Research Letters
  • International Mathematics Research Notices

Some recent papers authored or co-authored by Claude LeBrun are:

  • "Einstein manifolds, self-dual Weyl curvature, and conformally Kähler geometry" (2021) published in Mathematical Research Letters
  • "Twistors, Self-Duality, and Spinc Structures" (2021) published in Symmetry Integrability and Geometry Methods and Applications

In addition, the researcher has collaborated with other scholars such as Olivier Biquard, Paul Gauduchon, Michael Albanese, and Christopher J. Bishop. Collaborations with Paul Gauduchon and Michael Albanese are noted for multiple joint works.

Claude LeBrun has been recognized as a Fellow of the American Mathematical Society, an honor awarded in 2013.

Best Publications

  • Counter-examples to the generalized positive action conjecture

    Claude LeBrun

  • Explicit self-dual metrics on $\mathbb{CP}_2 \# \cdots\#\mathbb{CP}_2$

    Claude LeBrun

  • Extremal Kähler metrics and complex deformation theory

    C. LeBrun;S. R. Simanca

  • FANO MANIFOLDS, CONTACT STRUCTURES, AND QUATERNIONIC GEOMETRY

    Claude Lebrun

  • Four-Manifolds without Einstein Metrics

    Claude LeBrun

  • Spaces of complex null geodesics in complex-Riemannian geometry

    Claude LeBrun

  • Strong rigidity of positive quaternion Kähler manifolds.

    Claude LeBrun;Simon Salamon

  • On conformally Kähler, Einstein manifolds

    Xiuxiong Chen;Claude LeBrun;Brian Weber

  • Einstein metrics and Mostow rigidity

    Claude LeBrun

  • Kodaira dimension and the Yamabe problem

    Claude LeBrun

  • Yamabe constants and the perturbed Seiberg–Witten equations

    Claude LeBrun

  • Ricci Curvature, Minimal Volumes, and Seiberg-Witten Theory

    Claude LeBrun

  • Moduli of super Riemann surfaces

    Claude LeBrun;Mitchell Rothstein

  • On Einstein Manifolds of Positive Sectional Curvature

    Matthew J. Gursky;Claude LeBrun

  • Zoll Manifolds and Complex Surfaces

    Claude Lebrun;L.J. Mason

  • Quaternionic-Kähler manifolds and conformal geometry

    Claude LeBrun

  • On the topology of self-dual 4-manifolds

    Claude LeBrun

  • A KUMMER-TYPE CONSTRUCTION OF SELF-DUAL 4-MANIFOLDS

    Claude LeBrun;Michael Singer

  • Twistor CR manifolds and three-dimensional conformal geometry

    Claude R. LeBrun

  • Polarized 4-Manifolds, Extremal Kahler Metrics, and Seiberg-Witten Theory

    Claude LeBrun

  • Kodaira Dimension and the Yamabe Problem, II

    Michael Albanese;Claude LeBrun

Frequent Co-Authors

Lionel Mason
Lionel Mason University of Oxford
Fabrizio Catanese
Fabrizio Catanese University of Bayreuth
Xiuxiong Chen
Xiuxiong Chen Stony Brook University
Michael Atiyah
Michael Atiyah University of Edinburgh
Michael T. Anderson
Michael T. Anderson Stony Brook University
Simon Salamon
Simon Salamon King's College London

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