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D-Index & Metrics

Mathematics

D-Index
56
Citations
13386
World Ranking
729
National Ranking
362

Sergiu Klainerman 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 Sergiu Klainerman 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: 136 publications — 30th percentile

30% of scientists in this discipline score the same or lower.

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

Sergiu Klainerman 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 Sergiu Klainerman 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: 56 D-Index — 80th percentile

80% 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

  • 2018 - Fellow of the American Mathematical Society For contributions to partial differential equations, to the mathematical theory of general relativity, and mentoring.
  • 2005 - Member of the National Academy of Sciences
  • 2002 - Academie des sciences, France
  • 1997 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1996 - Fellow of the American Academy of Arts and Sciences
  • 1991 - Fellow of the MacArthur Foundation
  • 1983 - Fellow of Alfred P. Sloan Foundation

Overview

Sergiu Klainerman is affiliated with Princeton University in the United States. Their primary research spans the fields of Physics and Astronomy, with notable contributions in Mathematics. The main areas of study encompass Astronomy and Astrophysics, Nuclear and High Energy Physics, Mathematical Physics, Statistical and Nonlinear Physics, and Applied Mathematics.

The scientist's research topics focus on Black Holes and Theoretical Physics, Cosmology and Gravitation Theories, Advanced Mathematical Physics Problems, Pulsars and Gravitational Waves Research, Advanced Differential Geometry Research, Nonlinear Waves and Solitons, and Noncommutative and Quantum Gravity Theories.

Their publication record includes work in the following venues:

  • arXiv (Cornell University)
  • Princeton University Press eBooks
  • Pure and Applied Mathematics Quarterly
  • Annals of PDE
  • Inference International Review of Science

Recent papers by Sergiu Klainerman include:

  • Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations, 2020, Princeton University Press eBooks
  • Kerr Stability for Small Angular Momentum, 2023, Pure and Applied Mathematics Quarterly
  • Effective Results on Uniformization and Intrinsic GCM Spheres in Perturbations of Kerr, 2022, Annals of PDE
  • Construction of GCM Spheres in Perturbations of Kerr, 2022, Annals of PDE
  • Wave Equations Estimates and the Nonlinear Stability of Slowly Rotating Kerr Black Holes, 2022, arXiv (Cornell University)

Book publications are mainly associated with Princeton University Press, including two editions of Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations published in 2020.

Frequent co-authors include:

  • Jérémie Szeftel
  • Xinhua Chen
  • Yanyan Li
  • Elena E. Giorgi
  • Elena Giorgi

Sergiu Klainerman has received several awards and honors throughout their career. These include:

  • Fellow of the American Mathematical Society (2018) for contributions to partial differential equations, the mathematical theory of general relativity, and mentoring
  • Member of the National Academy of Sciences (2005)
  • Academie des sciences, France (2002)
  • Fellow of John Simon Guggenheim Memorial Foundation (1997)
  • Fellow of the American Academy of Arts and Sciences (1996)
  • Fellow of the MacArthur Foundation (1991)
  • Fellow of Alfred P. Sloan Foundation (1983)

Best Publications

  • The Global Nonlinear Stability of the Minkowski Space.

    Demetrios Christodoulou;Sergiu Klainerman

  • Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids

    Sergiu Klainerman;Andrew Majda

  • Compressible and incompressible fluids

    Sergiu Klainerman;Andrew Majda

  • Space-time estimates for null forms and the local existence theorem

    Sergiu Klainerman;M. MacHedon

  • Uniform decay estimates and the lorentz invariance of the classical wave equation

    Sergiu Klainerman

  • Global existence for nonlinear wave equations

    Sergiu Klainerman

  • Global existence of small amplitude solutions to nonlinear klein-gordon equations in four space-time dimensions

    Sergiu Klainerman

  • Global, small amplitude solutions to nonlinear evolution equations

    S. Klainerman;Gustavo Ponce

  • Almost global existence to nonlinear wave equations in three space dimensions

    F. John;S. Klainerman

  • Smoothing estimates for null forms and applications

    S. Klainerman;M. Machedon

  • The Global Nonlinear Stability of the Minkowski Space (PMS-41)

    Demetrios Christodoulou;Sergiu Klainerman

  • Formation of singularities for wave equations including the nonlinear vibrating string

    Sergiu Klainerman;Andrew Majda

  • On almost global existence for nonrelativistic wave equations in 3D

    Sergiu Klainerman;Thomas C. Sideris

  • Long-time behavior of solutions to nonlinear evolution equations

    Sergiu Klainerman

  • The Evolution Problem in General Relativity

    Sergiu Klainerman;Francesco Nicolò

  • Remarks on the global sobolev inequalities in the minkowski space Rn+1

    Sergiu Klainerman

  • Finite energy solutions of the Yang-Mills equations in $\mathbb{R}^{3+1}$

    Sergiu Klainerman;Matei Machedon

  • Remark on the optimal regularity for equations of wave maps type

    Sergiu Klainerman;Sigmund Selberg

  • On the Maxwell-Klein-Gordon equation with finite energy

    S. Klainerman;M. Machedon

  • Decay and regularity for the schrödinger equation

    Matania Ben-artzi;Sergiu Klainerman

  • Mathematical aspects of nonlinear dispersive equations

    Jean Bourgain;Carlos E. Kenig;Sergiu Klainerman

Frequent Co-Authors

Igor Rodnianski
Igor Rodnianski Princeton University
Alexandru D. Ionescu
Alexandru D. Ionescu Princeton University
Carlos E. Kenig
Carlos E. Kenig University of Chicago
Jean Bourgain
Jean Bourgain Institute for Advanced Study
Terence Tao
Terence Tao University of California, Los Angeles
Gustavo Ponce
Gustavo Ponce University of California, Santa Barbara
Daniel Tataru
Daniel Tataru University of California, Berkeley
James Isenberg
James Isenberg University of Oregon
Alan D. Rendall
Alan D. Rendall Johannes Gutenberg University of Mainz

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