World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
35
Citations
4771
World Ranking
2795
National Ranking
50

Antti Knowles 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 Antti Knowles 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: 68 publications — 2nd percentile

2% of scientists in this discipline score the same or lower.

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

Antti Knowles 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 Antti Knowles 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: 35 D-Index — 25th percentile

25% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Antti Knowles is a researcher affiliated with the University of Geneva in Switzerland, specializing in fields related to mathematics and physics. Their primary field of study is Mathematics, with a focus on subfields including Mathematical Physics, Statistics and Probability, Geometry and Topology, Atomic and Molecular Physics, and Condensed Matter Physics.

Their research covers a range of topics, notably:

  • Random Matrices and Applications
  • Spectral Theory in Mathematical Physics
  • Graph theory and applications
  • Stochastic processes and statistical mechanics
  • Theoretical and Computational Physics
  • Complex Systems and Time Series Analysis
  • Cold Atom Physics and Bose-Einstein Condensates

Knowles has contributed to numerous academic publications, with a record of papers produced in a variety of scientific journals. Frequent publication venues include:

  • arXiv (Cornell University)
  • The Annals of Probability
  • Communications in Mathematical Physics
  • Annales de l Institut Henri Poincaré Probabilités et Statistiques
  • Geometric and Functional Analysis

Among their recent papers are notable works such as:

  • "Spectral radii of sparse random matrices" (2020), published in Annales de l Institut Henri Poincaré Probabilités et Statistiques
  • "Extremal eigenvalues of critical Erdős-Rényi graphs" (2021), published in The Annals of Probability
  • "Edge rigidity and universality of random regular graphs of intermediate degree" (2020), published in Geometric and Functional Analysis
  • "Fluctuations of extreme eigenvalues of sparse Erdős-Rényi graphs" (2021), published in Probability Theory and Related Fields
  • "The mean-field limit of quantum Bose gases at positive temperature" (2021), published in Journal of the American Mathematical Society

Knowles often collaborates with other researchers. Frequent coauthors include:

  • Johannes Alt
  • Raphaël Ducatez
  • Jürg Fröhlich
  • Benjamin Schlein
  • Vedran Sohinger

Best Publications

  • Spectral statistics of Erdős–Rényi graphs I: Local semicircle law

    László Erdős;Antti Knowles;Horng-Tzer Yau;Jun Yin

  • Spectral Statistics of Erdős-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues

    László Erdős;Antti Knowles;Horng-Tzer Yau;Jun Yin

  • Spectral statistics of Erd\H{o}s-R'{e}nyi graphs I: Local semicircle law

    László Erdős;Antti Knowles;Horng-Tzer Yau;Jun Yin

  • The local semicircle law for a general class of random matrices

    László Erdős;Antti Knowles;Horng-Tzer Yau;Jun Yin

  • Mean-Field Dynamics: Singular Potentials and Rate of Convergence

    Antti Knowles;Peter Pickl

  • The Isotropic Semicircle Law and Deformation of Wigner Matrices

    Antti Knowles;Jun Yin

  • Anisotropic local laws for random matrices

    Antti Knowles;Jun Yin

  • On the Mean-Field Limit of Bosons with Coulomb Two-Body Interaction

    Jürg Fröhlich;Antti Knowles;Simon Schwarz

  • Isotropic local laws for sample covariance and generalized Wigner matrices

    Bloemendal Alex;László Erdős;Antti Knowles;Horng-Tzer Yau

  • On the Mean-Field Limit of Bosons with Coulomb Two-Body Interaction

    Juerg Froehlich;Antti Knowles;Simon Schwarz

  • Spectral Statistics of Erd{\H o}s-R'enyi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues

    Laszlo Erdos;Antti Knowles;Horng-Tzer Yau;Jun Yin

  • On the principal components of sample covariance matrices

    Alex Bloemendal;Antti Knowles;Horng-Tzer Yau;Jun Yin

  • Eigenvector Distribution of Wigner Matrices

    Antti Knowles;Jun Yin

  • Local Semicircle Law for Random Regular Graphs

    Roland Bauerschmidt;Antti Knowles;Horng-Tzer Yau

  • Delocalization and Diffusion Profile for Random Band Matrices

    László Erdős;Antti Knowles;Horng-Tzer Yau;Jun Yin

  • Delocalization and Diffusion Profile for Random Band Matrices

    Laszlo Erdos;Antti Knowles;Horng-Tzer Yau;Jun Yin

  • Atomism and quantization

    J Fröhlich;A Knowles;A Pizzo

  • Quantum Diffusion and Eigenfunction Delocalization in a Random Band Matrix Model

    Laszlo Erdos;Antti Knowles

  • Averaging Fluctuations in Resolvents of Random Band Matrices

    Laszlo Erdos;Antti Knowles;Horng-Tzer Yau

  • Averaging Fluctuations in Resolvents of Random Band Matrices

    László Erdős;Antti Knowles;Horng-Tzer Yau

  • Lectures on the local semicircle law for Wigner matrices

    Florent Benaych-Georges;Antti Knowles

  • The Local Semicircle Law for a General Class of Random Matrices

    Laszlo Erdos;Antti Knowles;Horng-Tzer Yau;Jun Yin

  • Isotropic Local Laws for Sample Covariance and Generalized Wigner Matrices

    Alex Bloemendal;Laszlo Erdos;Antti Knowles;Horng-Tzer Yau

Frequent Co-Authors

Horng-Tzer Yau
Horng-Tzer Yau Harvard University
László Erdős
László Erdős Institute of Science and Technology Austria
Benjamin Schlein
Benjamin Schlein University of Zurich
Charles Bordenave
Charles Bordenave Aix-Marseille University

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