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Ira M. Gessel

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 38 2323 2058 982 818 127 6813

Ira M. Gessel publications per year

The chart shows the history of publications by Ira M. Gessel between 1977 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Ira M. Gessel published across 49 years, from 1977 to 2025, averaging 5.2 papers a year. Output peaked at 16 publications in 2005. 3 of the 255 publications appeared in the last two years.

No. of publications
5 10 15
Bar chart. Horizontal axis: year, 1977 to 2025. Vertical axis: number of publications, 0 to 16. Peak 16 publications in 2005. 1977: 2 publications 1978: 2 publications 1979: 3 publications 1980: 2 publications 1981: 0 publications 1982: 2 publications 1983: 3 publications 1984: 2 publications 1985: 4 publications 1986: 5 publications 1987: 5 publications 1988: 0 publications 1989: 2 publications 1990: 1 publication 1991: 1 publication 1992: 3 publications 1993: 3 publications 1994: 1 publication 1995: 8 publications 1996: 6 publications 1997: 2 publications 1998: 2 publications 1999: 3 publications 2000: 11 publications 2001: 4 publications 2002: 7 publications 2003: 10 publications 2004: 10 publications 2005: 16 publications 2006: 13 publications 2007: 15 publications 2008: 15 publications 2009: 9 publications 2010: 13 publications 2011: 2 publications 2012: 3 publications 2013: 7 publications 2014: 13 publications 2015: 11 publications 2016: 11 publications 2017: 1 publication 2018: 1 publication 2019: 3 publications 2020: 4 publications 2021: 5 publications 2022: 1 publication 2023: 5 publications 2024: 2 publications 2025: 1 publication
1977 2025

255 publications in total across all disciplines

View publications per year as a table
Ira M. Gessel: publications per year, 1977 to 2025
Year Publications
1977 2
1978 2
1979 3
1980 2
1981 0
1982 2
1983 3
1984 2
1985 4
1986 5
1987 5
1988 0
1989 2
1990 1
1991 1
1992 3
1993 3
1994 1
1995 8
1996 6
1997 2
1998 2
1999 3
2000 11
2001 4
2002 7
2003 10
2004 10
2005 16
2006 13
2007 15
2008 15
2009 9
2010 13
2011 2
2012 3
2013 7
2014 13
2015 11
2016 11
2017 1
2018 1
2019 3
2020 4
2021 5
2022 1
2023 5
2024 2
2025 1
Total 255
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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.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 127–131 publications, is where this scientist sits. 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 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 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.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109 127
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
Download as CSV

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.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 38 D-Index, is where this scientist sits. 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.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150 38
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

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

External Links

Wikipedia of Ira M. Gessel Personal website of Ira M. Gessel Google Scholar page

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Best Scientists Citing Ira M. Gessel

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Publications: 34

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Mireille Bousquet-Mélou

University of Bordeaux

Publications: 30

Doron Zeilberger

Doron Zeilberger

Rutgers, The State University of New Jersey

Publications: 29

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Jean-Yves Thibon

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Publications: 22

Michelle L. Wachs

Michelle L. Wachs

University of Miami

Publications: 21

Richard P. Stanley

Richard P. Stanley

MIT

Publications: 21

Toufik Mansour

Toufik Mansour

University of Haifa

Publications: 18

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Paul Zinn-Justin

University of Melbourne

Publications: 18

Dennis Stanton

Dennis Stanton

University of Minnesota

Publications: 17

Alan D. Sokal

Alan D. Sokal

New York University

Publications: 16

Jinho Baik

Jinho Baik

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Publications: 16

Persi Diaconis

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Stanford University

Publications: 15

Jeffrey B. Remmel

Jeffrey B. Remmel

University of California, San Diego

Publications: 15

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