World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
38
Citations
6813
World Ranking
2323
National Ranking
982

Ira M. Gessel 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 Ira M. Gessel 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: 127 publications — 24th percentile

24% of scientists in this discipline score the same or lower.

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

Ira M. Gessel 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 Ira M. Gessel 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: 38 D-Index — 37th percentile

37% 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

Ira M. Gessel is affiliated with Brandeis University in the United States. Their research spans multiple areas within mathematics and computer science, with a primary focus on combinatorics and algebraic structures. The scientist has contributed significantly to discrete mathematics and combinatorics, algebra and number theory, and computational theory and mathematics. Their work also encompasses applied mathematics and artificial intelligence.

Gessel's publication record includes 35 works in mathematics and 17 in computer science. Key subfields of study evident in their research include:

  • Discrete Mathematics and Combinatorics
  • Algebra and Number Theory
  • Artificial Intelligence
  • Computational Theory and Mathematics
  • Applied Mathematics

Their research frequently addresses advanced combinatorial mathematics and mathematical identities. Prominent topics covered in Gessel's work are:

  • Advanced Combinatorial Mathematics
  • Advanced Mathematical Identities
  • Bayesian Methods and Mixture Models
  • Mathematical functions and polynomials
  • Algorithms and Data Compression
  • Semigroups and automata theory
  • Algebraic structures and combinatorial models

Gessel's recent papers demonstrate ongoing developments in these areas. Notable works include:

  • "Plethystic formulas for permutation enumeration" (2020) published in Advances in Mathematics
  • "A note on Stirling permutations" (2020) on arXiv (Cornell University)
  • "Cyclic quasi-symmetric functions" (2021) published in Israel Journal of Mathematics
  • "Moments of orthogonal polynomials and exponential generating functions" (2022) in The Ramanujan Journal
  • "Binomial convolutions for rational power series" (2023) on arXiv (Cornell University)

Frequent collaboration forms an important part of Gessel's research activities. Coauthors who have contributed to multiple publications include:

  • Yan Zhuang
  • Jiang Zeng
  • Ron M. Adin
  • Victor Reiner
  • Yuval Roichman

The scientist's publication venues are diverse but with a strong presence in repositories and journals relevant to their fields. Primary venues include:

  • arXiv (Cornell University)
  • Advances in Mathematics
  • Israel Journal of Mathematics
  • The Ramanujan Journal
  • Journal of Combinatorial Theory Series A

In recognition of their contributions, Ira M. Gessel was named a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Binomial Determinants, Paths, and Hook Length Formulae

    Ira Gessel;Gérard Viennot

  • Multipartite P-partitions and inner products of skew Schur functions

    Unknown

  • Symmetric functions and P-Recursiveness

    Ira M. Gessel

  • Counting permutations with given cycle structure and descent set

    Ira M. Gessel;Christophe Reutenauer

  • Permutation statistics and partitions

    A.M Garsia;I Gessel

  • Strange Evaluations of Hypergeometric Series

    Ira Gessel;Dennis Stanton

  • A noncommutative generalization and $q$-analog of the Lagrange inversion formula

    Ira Gessel

  • Applications of q-lagrange inversion to basic hypergeometric series

    Ira Gessel;Dennis Stanton

  • Stirling Polynomials

    Unknown

  • Applications of the classical umbral calculus

    Ira M. Gessel

  • Random walk in a Weyl chamber

    Ira M. Gessel;Doron Zeilberger

  • Generating functions and enumeration of sequences.

    Ira Martin Gessel

  • The Tutte polynomial of a graph, depth-first search, and simplicial complex partitions.

    Ira M. Gessel;Bruce E. Sagan

  • A combinatorial proof of the multivariable Lagrange inversion formula

    Ira M. Gessel

  • Cylindric Partitions

    Unknown

  • On Miki's identity for Bernoulli numbers

    Ira M. Gessel

  • Some congruences for Apéry numbers

    Ira Gessel

  • Super ballot numbers

    Ira M. Gessel

  • A probabilistic method for lattice path enumeration

    Ira M. Gessel

  • A factorization for formal laurent series and lattice path enumeration

    Ira M Gessel

  • The Tutte Polynomial of a Graph, Depth-first Search

    Ira M. Gessel;Bruce E. Sagan

  • A Refinement of Cayley's Formula for Trees

    Ira M. Gessel;Seunghyun Seo

  • A coloring problem

    Ira M. Gessel

Frequent Co-Authors

Herbert S. Wilf
Herbert S. Wilf University of Pennsylvania
Dennis Stanton
Dennis Stanton University of Minnesota
Doron Zeilberger
Doron Zeilberger Rutgers, The State University of New Jersey
Bruce E. Sagan
Bruce E. Sagan Michigan State University
Christophe Reutenauer
Christophe Reutenauer University of Quebec at Montreal
Wayne Goddard
Wayne Goddard Clemson University
Victor Reiner
Victor Reiner University of Minnesota
Adriano M. Garsia
Adriano M. Garsia University of California, San Diego
Donald E. Knuth
Donald E. Knuth Stanford University
Paul Erdös
Paul Erdös Hungarian Academy of Sciences

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