World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
57
Citations
11932
World Ranking
695
National Ranking
51

Martin Hairer 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 Martin Hairer 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: 171 publications — 49th percentile

49% of scientists in this discipline score the same or lower.

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

Martin Hairer 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 Martin Hairer 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: 57 D-Index — 82nd percentile

82% 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

  • 2022 - Wald Memorial Lecturer
  • 2020 - Member of the European Academy of Sciences
  • 2017 - Polish Academy of Science
  • 2016 - Fellow of the American Mathematical Society For contributions to the theory of stochastic partial differential equations, in particular introducing a theory of regularity structures for such equations.
  • 2015 - German National Academy of Sciences Leopoldina - Deutsche Akademie der Naturforscher Leopoldina – Nationale Akademie der Wissenschaften Mathematics
  • 2015 - Member of Academia Europaea
  • 2014 - Fields Medal of International Mathematical Union (IMU) For his outstanding contributions to the theory of stochastic partial differential equations, and in particular for the creation of a theory of regularity structures for such equations.
  • 2014 - Fellow of the Royal Society, United Kingdom

Overview

Martin Hairer is affiliated with Imperial College London in the United Kingdom. Their research primarily spans mathematics and economics, econometrics, and finance, with significant contributions to several subfields such as mathematical physics, finance, applied mathematics, computational theory and mathematics, and statistics and probability.

The scientist's work covers various topics consistently addressed across numerous publications. These include:

  • Stochastic processes and financial applications
  • Stochastic processes and statistical mechanics
  • Advanced Mathematical Modeling in Engineering
  • Theoretical and Computational Physics
  • Mathematical Dynamics and Fractals
  • Markov Chains and Monte Carlo Methods
  • Geometric Analysis and Curvature Flows

Recent notable papers by Martin Hairer include:

  • "Renormalising SPDEs in regularity structures", 2020, Journal of the European Mathematical Society
  • "Averaging dynamics driven by fractional Brownian motion", 2020, The Annals of Probability
  • "Geometric stochastic heat equations", 2021, Journal of the American Mathematical Society
  • "Langevin dynamic for the 2D Yang-Mills measure", 2022, Publications mathématiques de l IHÉS
  • "The BPHZ Theorem for Regularity Structures via the Spectral Gap Inequality", 2024, Archive for Rational Mechanics and Analysis

The scientist has collaborated frequently with a number of scholars, including:

  • Peter K. Friz
  • Xue-Mei Li
  • Tommaso Rosati
  • Ilya Chevyrev
  • Hao Shen

Martin Hairer's scholarly output includes book publications. One published by Springer Nature is titled A Course on Rough Paths, released in 2020.

The scientist has published extensively in various academic venues, with frequent appearances in:

  • arXiv (Cornell University)
  • Communications on Pure and Applied Mathematics
  • The Annals of Probability
  • Archive for Rational Mechanics and Analysis
  • Communications in Mathematical Physics

Martin Hairer has been recognized with multiple awards, including:

  • Wald Memorial Lecturer (2022)
  • Member of the European Academy of Sciences (2020)
  • Polish Academy of Science (2017)
  • Fellow of the American Mathematical Society (2016) for contributions to the theory of stochastic partial differential equations, in particular introducing a theory of regularity structures for such equations
  • Member of Academia Europaea (2015)
  • German National Academy of Sciences Leopoldina (2015) for work in mathematics
  • Fellow of the Royal Society, United Kingdom (2014)
  • Fields Medal of the International Mathematical Union (2014) for outstanding contributions to the theory of stochastic partial differential equations and the creation of a theory of regularity structures

Best Publications

  • A theory of regularity structures

    Martin Hairer

  • Solving the KPZ equation

    Martin Hairer

  • A Course on Rough Paths

    Peter K. Friz;Martin Hairer

  • Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing

    Martin Hairer;Jonathan C. Mattingly

  • Yet Another Look at Harris’ Ergodic Theorem for Markov Chains

    Martin Hairer;Jonathan C. Mattingly

  • A Course on Rough Paths: With an Introduction to Regularity Structures

    Peter K. Friz;Martin Hairer

  • Asymptotic coupling and a general form of Harris’ theorem with applications to stochastic delay equations

    Martin Hairer;Martin Hairer;Jonathan Christopher Mattingly;Michael Scheutzow

  • A Wong-Zakai theorem for stochastic PDEs

    Martin Hairer;Étienne Pardoux

  • Spectral gaps for a Metropolis–Hastings algorithm in infinite dimensions

    Martin Hairer;Andrew M. Stuart;Sebastian J. Vollmer

  • Spectral gaps in Wasserstein distances and the 2D stochastic Navier–Stokes equations

    Martin Hairer;Jonathan Christopher Mattingly

  • An Introduction to Stochastic PDEs

    Martin Hairer

  • Algebraic renormalisation of regularity structures

    Yvain Bruned;Martin Hairer;Lorenzo Zambotti

  • Ergodicity of stochastic differential equations driven by fractional Brownian motion

    Martin Hairer

  • Exponential ergodicity for Markov processes with random switching

    Bertrand Cloez;Martin Hairer

  • Exponential mixing properties of stochastic PDEs through asymptotic coupling

    M. Hairer

  • Non-Equilibrium Statistical Mechanics¶of Strongly Anharmonic Chains of Oscillators

    J.-P. Eckmann;M. Hairer

  • A simple framework to justify linear response theory

    Martin Hairer;Andrew J Majda

  • An analytic BPHZ theorem for regularity structures

    Ajay Chandra;Martin Hairer

  • A Theory of Hypoellipticity and Unique Ergodicity for Semilinear Stochastic PDEs

    Martin Hairer;Jonathan C Mattingly

  • A class of growth models rescaling to KPZ

    Martin Hairer;Jeremy Quastel

  • Asymptotic coupling and a weak form of Harris' theorem with applications to stochastic delay equations

    Martin Hairer;Jonathan C. Mattingly;Michael Scheutzow

Frequent Co-Authors

Peter K. Friz
Peter K. Friz Technical University of Berlin
Jonathan C. Mattingly
Jonathan C. Mattingly Duke University
Andrew M. Stuart
Andrew M. Stuart California Institute of Technology
Grigorios A. Pavliotis
Grigorios A. Pavliotis Imperial College London
Etienne Pardoux
Etienne Pardoux Aix-Marseille University
Jean-Pierre Eckmann
Jean-Pierre Eckmann University of Geneva
Alice Guionnet
Alice Guionnet École Normale Supérieure de Lyon
Richard F. Bass
Richard F. Bass University of Connecticut
Zhen-Qing Chen
Zhen-Qing Chen University of Washington
Franco Flandoli
Franco Flandoli Scuola Normale Superiore di Pisa

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