World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
57
Citations
19644
World Ranking
669
National Ranking
337

Alan D. Sokal 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 Alan D. Sokal 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: 240 publications — 75th percentile

75% of scientists in this discipline score the same or lower.

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

Alan D. Sokal 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 Alan D. Sokal 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.

Overview

Alan D. Sokal is affiliated with New York University in the United States and has contributed extensively to the field of mathematics, with a focus on discrete mathematics and combinatorics.

The research areas of Alan D. Sokal cover several specialized subfields within mathematics:

  • Discrete Mathematics and Combinatorics
  • Algebra and Number Theory
  • Applied Mathematics
  • Geometry and Topology
  • Computational Theory and Mathematics

The primary topics of research include:

  • Advanced Combinatorial Mathematics
  • Advanced Mathematical Identities
  • Mathematical functions and polynomials
  • Bayesian Methods and Mixture Models
  • Mathematics and Applications
  • Mathematical Dynamics and Fractals
  • Analytic Number Theory Research

Significant recent publications by Alan D. Sokal consist of the following papers:

  • Some multivariate master polynomials for permutations, set partitions, and perfect matchings, and their continued fractions, 2022, Advances in Applied Mathematics
  • A simple algorithm for expanding a power series as a continued fraction, 2022, Expositiones Mathematicae

Additional influential papers related to the broader research network that includes coauthors are:

  • Lattice Paths and Branched Continued Fractions: An Infinite Sequence of Generalizations of the Stieltjes-Rogers and Thron-Rogers Polynomials, with Coefficientwise Hankel-Total Positivity, 2023, Memoirs of the American Mathematical Society
  • Lattice paths and branched continued fractions II. Multivariate Lah polynomials and Lah symmetric functions, 2020, European Journal of Combinatorics
  • The Graham-Knuth-Patashnik Recurrence: Symmetries and Continued Fractions, 2021, The Electronic Journal of Combinatorics

Frequent coauthors in these research efforts include:

  • Bishal Deb
  • Mathias Pétréolle
  • A. Lefort
  • Jesús Salas
  • Alexander Dyachenko

Alan D. Sokal's work is often published in venues such as:

  • arXiv (Cornell University)
  • Advances in Applied Mathematics
  • The Electronic Journal of Combinatorics
  • Médecine et Maladies Infectieuses Formation
  • European Journal of Combinatorics

In addition to journal articles, Alan D. Sokal has published a book titled Queere KI in 2022 through Transcript Verlag.

Best Publications

  • Class E-A new class of high-efficiency tuned single-ended switching power amplifiers

    N.O. Sokal;A.D. Sokal

  • Transgressing the Boundaries: Toward a Transformative Hermeneutics of Quantum Gravity

    Alan D. Sokal

  • The pivot algorithm: A highly efficient Monte Carlo method for the self-avoiding walk

    Neal Madras;Alan D. Sokal

  • Monte Carlo Methods in Statistical Mechanics: Foundations and New Algorithms

    A. Sokal

  • Generalization of the Fortuin-Kasteleyn-Swendsen-Wang representation and Monte Carlo algorithm.

    Robert G. Edwards;Alan D. Sokal

  • Regularity properties and pathologies of position-space renormalization-group transformations: Scope and limitations of Gibbsian theory

    Aernout C. D. van Enter;Roberto Fernández;Alan D. Sokal

  • Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory

    Roberto Fernández;Jürg Fröhlich;Alan D. Sokal

  • Amplifying and processing apparatus for modulated carrier signals

    Alan D Sokal;Nathan O Sokal

  • Bounds on the ² spectrum for Markov chains and Markov processes: a generalization of Cheeger’s inequality

    Gregory F. Lawler;Gregory F. Lawler;Alan D. Sokal

  • Critical exponents, hyperscaling, and universal amplitude ratios for two- and three-dimensional self-avoiding walks

    Bin Li;Bin Li;Neal Madras;Alan D. Sokal

  • The complex dynamics of wishful thinking: The critical positivity ratio.

    Nicholas J. L. Brown;Alan D. Sokal;Harris L. Friedman

  • The multivariate Tutte polynomial (alias Potts model) for graphs and matroids

    Alan D. Sokal

  • An improvement of Watson’s theorem on Borel summability

    Alan D. Sokal

  • Regularity Properties and Pathologies of Position-Space Renormalization-Group Transformations

    A.C.D. van Enter;R. Fernandez;A.D. Sokal

  • Bounds on the Complex Zeros of (Di)Chromatic Polynomials and Potts-Model Partition Functions

    Alan D. Sokal

  • Absence of phase transition for antiferromagnetic Potts models via the Dobrushin uniqueness theorem

    Jesús Salas;Alan D. Sokal

  • Multigrid Monte Carlo method. Conceptual foundations.

    Jonathan Goodman;Alan D. Sokal

  • High-efficiency tuned switching power amplifier

    Nathan O Sokal;Alan D Sokal

  • Homogeneous multivariate polynomials with the half-plane property

    Young-Bin Choe;James G. Oxley;Alan D. Sokal;David G. Wagner

  • The Repulsive Lattice Gas, the Independent-Set Polynomial, and the Lovasz Local Lemma

    Alexander D. Scott;Alan D. Sokal

  • New Monte Carlo method for the self-avoiding walk

    Alberto Berretti;Alan D. Sokal

  • Regularity properties and pathologies of position-space renormalization-group transformations

    Aernout C.D. van Enter;Roberto Fernández;Alan D. Sokal

Frequent Co-Authors

Jesper Lykke Jacobsen
Jesper Lykke Jacobsen École Normale Supérieure
Jean Bricmont
Jean Bricmont Université Catholique de Louvain
Gordon Slade
Gordon Slade University of British Columbia
Gregory F. Lawler
Gregory F. Lawler University of Chicago
Anthony J. Guttmann
Anthony J. Guttmann University of Melbourne
David C. Brydges
David C. Brydges University of British Columbia
John Cardy
John Cardy University of California, Berkeley
Hubert Saleur
Hubert Saleur CEA Saclay
Elliott H. Lieb
Elliott H. Lieb Princeton University

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

Studying Mathematics in the USA opens doors to a variety of related online degrees that can complement and expand your career options. For those interested in leveraging mathematical skills for big data and decision-making, a data analytics master's degree offers advanced training in interpreting complex datasets and driving business insights.

If you're aiming to combine quantitative expertise with business leadership, exploring what MBA programs can I get into provides a helpful guide to accessible business degrees that build on mathematical foundations. For those looking for a quicker or more flexible path, the easiest MBA program options online let you balance professional growth with your current commitments.

For advanced professionals interested in leadership and research, pursuing one of the DBA programs online can expand your expertise in business administration at an affordable cost. Integrating mathematical skills with these degrees enhances career versatility across industries such as finance, technology, and healthcare.

Best Scientists Citing Alan D. Sokal

Trending Scientists

Recently Published Articles