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Alain Connes

Alain Connes

Collège de France
France

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Mathematics
France
2026

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 91 68 57 5 5 259 38703

Alain Connes publications per year

The chart shows the history of publications by Alain Connes between 1969 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Alain Connes published across 57 years, from 1969 to 2025, averaging 5.4 papers a year. Output peaked at 14 publications in 2006. 15 of the 310 publications appeared in the last two years.

No. of publications
5 10
Bar chart. Horizontal axis: year, 1969 to 2025. Vertical axis: number of publications, 0 to 14. Peak 14 publications in 2006. 1969: 1 publication 1970: 0 publications 1971: 1 publication 1972: 0 publications 1973: 2 publications 1974: 2 publications 1975: 7 publications 1976: 1 publication 1977: 2 publications 1978: 4 publications 1979: 3 publications 1980: 3 publications 1981: 3 publications 1982: 3 publications 1983: 0 publications 1984: 1 publication 1985: 8 publications 1986: 0 publications 1987: 3 publications 1988: 7 publications 1989: 5 publications 1990: 3 publications 1991: 2 publications 1992: 10 publications 1993: 6 publications 1994: 3 publications 1995: 7 publications 1996: 4 publications 1997: 6 publications 1998: 6 publications 1999: 5 publications 2000: 7 publications 2001: 7 publications 2002: 5 publications 2003: 4 publications 2004: 9 publications 2005: 4 publications 2006: 14 publications 2007: 14 publications 2008: 14 publications 2009: 8 publications 2010: 10 publications 2011: 6 publications 2012: 7 publications 2013: 5 publications 2014: 7 publications 2015: 8 publications 2016: 8 publications 2017: 3 publications 2018: 4 publications 2019: 13 publications 2020: 1 publication 2021: 11 publications 2022: 10 publications 2023: 8 publications 2024: 11 publications 2025: 4 publications
1969 2025

310 publications in total across all disciplines

View publications per year as a table
Alain Connes: publications per year, 1969 to 2025
Year Publications
1969 1
1970 0
1971 1
1972 0
1973 2
1974 2
1975 7
1976 1
1977 2
1978 4
1979 3
1980 3
1981 3
1982 3
1983 0
1984 1
1985 8
1986 0
1987 3
1988 7
1989 5
1990 3
1991 2
1992 10
1993 6
1994 3
1995 7
1996 4
1997 6
1998 6
1999 5
2000 7
2001 7
2002 5
2003 4
2004 9
2005 4
2006 14
2007 14
2008 14
2009 8
2010 10
2011 6
2012 7
2013 5
2014 7
2015 8
2016 8
2017 3
2018 4
2019 13
2020 1
2021 11
2022 10
2023 8
2024 11
2025 4
Total 310
Download as CSV

Alain Connes publications per year - data summary

  • Alain Connes, a Mathematics scholar from Collège de France, has 310 publications recorded across 57 years, from 1969 to 2025.
  • The oldest publication on record dates to 1969 and the most recent to 2025.
  • The most productive years are 2006, 2007 and 2008, with 14 publications each.
  • The least productive years with any output are 1969, 1971, 1976, 1984 and others, with 1 publication each.
  • 4 of the 57 years in the span carry no publications at all (1970, 1972, 1983 and 1986).
  • The rate of publication averages 5.4 papers per year over the whole span, or 5.8 per year counting only the 53 years with at least one publication.
  • The last 5 years on the chart (2021-2025) hold 44 publications, 14% of the career total.
  • Split into equal eras - 1969-1987: 44 publications (2.3 per year); 1988-2006: 114 publications (6.0 per year); 2007-2025: 152 publications (8.0 per year).
  • Comparing the opening and closing eras, the overall trend of publication is rising.

Alain Connes 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 Alain Connes 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, 257–261 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: 259 publications — 79th percentile

79% 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
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 45 259
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

Alain Connes publication distribution in Mathematics in 2026 - data summary

  • The chart plots the publication count of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 100 ranges running from 42–46 to 537+ publications.
  • Alain Connes, a Mathematics scholar from Collège de France, records 259 publications - the 79th percentile of the discipline.
  • 79% of ranked Mathematics scientists score the same or lower than Alain Connes, and about 21% score higher.
  • The median of the discipline falls in the 172–176 publications range, and Alain Connes ranks above the median.
  • The most crowded range is 142–146 publications, holding 112 scientists (3% of the field).
  • 47% of the field sits in the lowest quarter of the value range (up to 162–166 publications), so the distribution leans towards the lower end of the scale.
  • The final bar has no upper bound: it groups every scientist with 537 publications or more, 100 scientists in all (3% of the field).

Alain Connes 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 Alain Connes 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, 86+ 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: 91 D-Index — 98th percentile

98% 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
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 91
Download as CSV

Alain Connes D-index placement in Mathematics in 2026 - data summary

  • The chart plots the discipline H-index (D-index) of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 57 ranges running from 30 to 86+ D-Index.
  • Alain Connes, a Mathematics scholar from Collège de France, records 91 D-Index - the 98th percentile of the discipline.
  • 98% of ranked Mathematics scientists score the same or lower than Alain Connes, and about 2% score higher.
  • The median of the discipline falls in the 42 D-Index range, and Alain Connes ranks above the median.
  • The most crowded range is 30 D-Index, holding 174 scientists (5% of the field).
  • 58% of the field sits in the lowest quarter of the value range (up to 44 D-Index), so the distribution is heavily right-skewed and high scores are rare.
  • The final bar has no upper bound: it groups every scientist with 86 D-Index or more, 99 scientists in all (3% of the field).

Research.com Recognitions

  • 2026 - Research.com Mathematics in France Leader Award
  • 2025 - Research.com Mathematics in France Leader Award
  • 2023 - Research.com Mathematics in France Leader Award
  • 2004 - Member of the European Academy of Sciences
  • 2004 - CNRS Gold Medal, French National Centre for Scientific Research Mathematics
  • 1997 - Member of the National Academy of Sciences
  • 1989 - Fellow of the American Academy of Arts and Sciences
  • 1982 - Academie des sciences, France
  • 1982 - Fields Medal of International Mathematical Union (IMU) Contributed to the theory of operator algebras, particularly the general classification and structure theorem of factors of type III, classification of automorphisms of the hyperfinite factor, classification of injective factors, and applications of the theory of C*-algebras to foliations and differential geometry in general.
  • 1980 - Ampère Prize (Prix Ampère de l’Électricité de France), French Academy of Sciences

Overview

Alain Connes is affiliated with the Collège de France in France and specializes in Mathematics, with a focus on subfields such as Mathematical Physics, Geometry and Topology, Statistical and Nonlinear Physics, Algebra and Number Theory, and Applied Mathematics.

Their research encompasses a variety of topics. Notable areas of focus include:

  • Homotopy and Cohomology in Algebraic Topology
  • Advanced Topics in Algebra
  • Algebraic structures and combinatorial models
  • Advanced Operator Algebra Research
  • Noncommutative and Quantum Gravity Theories
  • Spectral Theory in Mathematical Physics
  • Algebraic Geometry and Number Theory

Frequent co-authors of Alain Connes include:

  • Caterina Consani
  • Walter D. van Suijlekom
  • Henri Moscovici
  • Ali H. Chamseddine
  • Ryszard Nest

Alain Connes has published extensively in several academic venues, notably:

  • arXiv (Cornell University)
  • Notices of the American Mathematical Society
  • Communications in Mathematical Physics
  • L'Enseignement Mathématique
  • Annals of Functional Analysis

Selected recent papers include:

  • Spectral Truncations in Noncommutative Geometry and Operator Systems, 2020, Communications in Mathematical Physics
  • The UV prolate spectrum matches the zeros of zeta, 2022, Proceedings of the National Academy of Sciences
  • Noncommutativity and physics: a non-technical review, 2023, The European Physical Journal Special Topics
  • Spectral triples and ζ-cycles, 2023, L'Enseignement Mathématique
  • On absolute algebraic geometry the affine case, 2021, Advances in Mathematics

Awards received by Alain Connes include:

  • Member of the European Academy of Sciences, 2004
  • CNRS Gold Medal, French National Centre for Scientific Research, 2004, Mathematics
  • Member of the National Academy of Sciences, 1997
  • Fellow of the American Academy of Arts and Sciences, 1989
  • Fields Medal of International Mathematical Union (IMU), 1982, for contributions to the theory of operator algebras including the classification and structure theorem of factors of type III and applications of C*-algebras to foliations and differential geometry
  • Academie des sciences, France, 1982
  • Ampère Prize (Prix Ampère de l'Électricité de France), French Academy of Sciences, 1980

Best Publications

  • Noncommutative Geometry and Matrix Theory: Compactification on Tori

    Alain Connes;Michael R. Douglas;Michael R. Douglas;Albert S. Schwarz;Albert S. Schwarz;Albert S. Schwarz

  • Non-commutative differential geometry

    Alain Connes;Alain Connes

  • Non-Commutative Geometry

    Alain Connes

  • Hopf Algebras, Renormalization and Noncommutative Geometry

    Alain Connes;Dirk Kreimer

  • Classification of Injective Factors Cases II 1 , II ∞ , III λ , λ 1

    Unknown

  • Gravity coupled with matter and the foundation of non-commutative geometry

    Alain Connes

  • Renormalization in Quantum Field Theory and the Riemann-Hilbert Problem I: The Hopf Algebra Structure of Graphs and the Main Theorem

    Alain Connes;Dirk Kreimer

  • The Spectral action principle

    Ali H. Chamseddine;Alain Connes

  • Particle models and noncommutative geometry

    Alain Connes;John Lott

  • Classifying Space for Proper Actions and K-Theory of Group C*-algebras

    Paul Baum;Alain Connes;Nigel Higson

  • Une classification des facteurs de type ${ m III}$

    Alain Connes

  • Gravity coupled with matter and foundation of non-commutative geometry

    A. Connes

  • Noncommutative Geometry, Quantum Fields and Motives

    Alain Connes;Matilde Marcolli

  • An amenable equivalence relation is generated by a single transformation

    A. Connes;J. Feldman;B. Weiss

  • Noncommutative geometry and reality

    Alain Connes

  • The Local Index Formula in Noncommutative Geometry

    Alain Connes;Henri Moscovici

  • Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory

    J B Bost;Alain Connes

  • Sur la theorie non commutative de l’integration

    Alain Connes

  • Gravity and the standard model with neutrino mixing

    A H Chamseddine;A Connes;M Marcolli

  • The action functional in non-commutative geometry

    A. Connes

  • Renormalization in Quantum Field Theory and the Riemann--Hilbert Problem II: The β-Function, Diffeomorphisms and the Renormalization Group

    Alain Connes;Dirk Kreimer

Frequent Co-Authors

Matilde Marcolli
Matilde Marcolli California Institute of Technology
Jean-Pierre Changeux
Jean-Pierre Changeux Institut Pasteur
Michel Dubois-Violette
Michel Dubois-Violette Université Paris Cité
Dirk Kreimer
Dirk Kreimer Humboldt-Universität zu Berlin
Albert S. Schwarz
Albert S. Schwarz University of California, Davis
Shahn Majid
Shahn Majid Queen Mary University of London
Roger Penrose
Roger Penrose University of Oxford
Fedor Sukochev
Fedor Sukochev University of New South Wales
Vaughan F. R. Jones
Vaughan F. R. Jones Vanderbilt University
Thibault Damour
Thibault Damour Institut des Hautes Études Scientifiques

External Links

Wikipedia of Alain Connes Personal website of Alain Connes Google Scholar page

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Alan L. Carey

Australian National University

Publications: 59

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Fedor Sukochev

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Dirk Kreimer

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Publications: 51

Raimar Wulkenhaar

Raimar Wulkenhaar

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John Madore

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Publications: 41

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Varghese Mathai

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Harald Grosse

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