Top Cited Articles of All Time (2005 edition) by math

The 100 most highly cited papers of All Time (2005 edition) cited by papers in the math archive

Keep in mind that citation counts can never be exact, there is something like a 5% error in most of these numbers. Please do not fret about number 32 versus 33, as this is often not a statistically significant difference. More information about citations in INSPIRE can be found here.

Also note that the counts shown, and used in the rankings, are the counts as of 2019-12-29. Further, the counts shown by the ranking are only the cites satisfying the criteria for that list. Actual citation numbers in the database may change as corrections are made and papers are added, the links will take you to the updated numbers.

Annual and All-time 2005 editions

2005 reports for eprints

  1. 69 citations by math eprints up to the end of 2005
    Quantization of Lie Groups and Lie Algebras
    L.D. Faddeev, N.Yu. Reshetikhin, L.A. Takhtajan (Steklov Math. Inst., St. Petersburg). 1987. 16 pp.
    Published in Leningrad Math.J. 1 (1990) 193-225, Alg.Anal. 1 (1989) no.1, 178-206
    LOMI-E-14-87

  2. 67 citations by math eprints up to the end of 2005
  3. 61 citations by math eprints up to the end of 2005
  4. 61 citations by math eprints up to the end of 2005
  5. 59 citations by math eprints up to the end of 2005
  6. 55 citations by math eprints up to the end of 2005
  7. 54 citations by math eprints up to the end of 2005
  8. 48 citations by math eprints up to the end of 2005
  9. 42 citations by math eprints up to the end of 2005
  10. 41 citations by math eprints up to the end of 2005
  11. 40 citations by math eprints up to the end of 2005
  12. 40 citations by math eprints up to the end of 2005
  13. 37 citations by math eprints up to the end of 2005
    Hopf algebras and the quantum Yang-Baxter equation
    V.G. Drinfeld (Kharkov, Inst. Low Temp. Phys.). 1985. 5 pp.
    Published in Sov.Math.Dokl. 32 (1985) 254-258, Dokl.Akad.Nauk Ser.Fiz. 283 (1985) 1060-1064

  14. 36 citations by math eprints up to the end of 2005
    Gromov-Witten classes, quantum cohomology, and enumerative geometry
    M. Kontsevich, Yu. Manin (Bonn, Max Planck Inst., Math.). Mar 1, 1994. 42 pp.
    Published in Commun.Math.Phys. 164 (1994) 525-562, AMS/IP Stud.Adv.Math. 1 (1996) 607-653
    DOI: 10.1007/BF02101490
    e-Print: hep-th/9402147 | PDF

  15. 36 citations by math eprints up to the end of 2005
  16. 35 citations by math eprints up to the end of 2005
  17. 34 citations by math eprints up to the end of 2005
  18. 33 citations by math eprints up to the end of 2005
  19. 33 citations by math eprints up to the end of 2005
  20. 33 citations by math eprints up to the end of 2005
  21. 32 citations by math eprints up to the end of 2005
  22. 32 citations by math eprints up to the end of 2005
  23. 31 citations by math eprints up to the end of 2005
  24. 31 citations by math eprints up to the end of 2005
  25. 31 citations by math eprints up to the end of 2005
  26. 29 citations by math eprints up to the end of 2005
  27. 29 citations by math eprints up to the end of 2005
    Compact matrix pseudogroups
    S.L. Woronowicz (Warsaw U., Math. Dept.). 1987. 53 pp.
    Published in Commun.Math.Phys. 111 (1987) 613-665
    DOI: 10.1007/BF01219077

  28. 29 citations by math eprints up to the end of 2005
  29. 28 citations by math eprints up to the end of 2005
    Noncommutative differential geometry
    1986.
    Published in Inst.Hautes Etudes Sci.Publ.Math. 62 (1986) 257

  30. 28 citations by math eprints up to the end of 2005
  31. 27 citations by math eprints up to the end of 2005
  32. 27 citations by math eprints up to the end of 2005
    Topological quantum field theories
    M. Atiyah. 1989. 12 pp.
    Published in Inst.Hautes Etudes Sci.Publ.Math. 68 (1989) 175-186
    DOI: 10.1007/BF02698547

  33. 27 citations by math eprints up to the end of 2005
  34. 26 citations by math eprints up to the end of 2005
  35. 26 citations by math eprints up to the end of 2005
  36. 26 citations by math eprints up to the end of 2005
  37. 26 citations by math eprints up to the end of 2005
  38. 26 citations by math eprints up to the end of 2005
  39. 26 citations by math eprints up to the end of 2005
  40. 26 citations by math eprints up to the end of 2005
  41. 25 citations by math eprints up to the end of 2005
  42. 25 citations by math eprints up to the end of 2005
  43. 25 citations by math eprints up to the end of 2005
  44. 25 citations by math eprints up to the end of 2005
  45. 24 citations by math eprints up to the end of 2005
  46. 24 citations by math eprints up to the end of 2005
  47. 24 citations by math eprints up to the end of 2005
  48. 24 citations by math eprints up to the end of 2005
  49. 24 citations by math eprints up to the end of 2005
  50. 24 citations by math eprints up to the end of 2005
  51. 24 citations by math eprints up to the end of 2005
  52. 24 citations by math eprints up to the end of 2005
  53. 24 citations by math eprints up to the end of 2005
  54. 24 citations by math eprints up to the end of 2005
  55. 24 citations by math eprints up to the end of 2005
  56. 23 citations by math eprints up to the end of 2005
  57. 23 citations by math eprints up to the end of 2005
  58. 23 citations by math eprints up to the end of 2005
  59. 23 citations by math eprints up to the end of 2005
  60. 23 citations by math eprints up to the end of 2005
  61. 23 citations by math eprints up to the end of 2005
  62. 23 citations by math eprints up to the end of 2005
  63. 23 citations by math eprints up to the end of 2005
  64. 22 citations by math eprints up to the end of 2005
  65. 22 citations by math eprints up to the end of 2005
  66. 22 citations by math eprints up to the end of 2005
    The CPT theorem in two-dimensional theories of local observables
    H.J. Borchers (Gottingen U.). Feb 26, 1991. 22 pp.
    Published in Commun.Math.Phys. 143 (1992) 315-332
    GOET-TP-91-01
    DOI: 10.1007/BF02099011

  67. 22 citations by math eprints up to the end of 2005
    Operator algebras and conformal field theory
    Fabrizio Gabbiani, Jurg Frohlich (Zurich, ETH). Dec 7, 1992. 110 pp.
    Published in Commun.Math.Phys. 155 (1993) 569-640
    ETH-TH-92-30
    DOI: 10.1007/BF02096729

  68. 22 citations by math eprints up to the end of 2005
  69. 22 citations by math eprints up to the end of 2005
  70. 22 citations by math eprints up to the end of 2005
  71. 22 citations by math eprints up to the end of 2005
  72. 22 citations by math eprints up to the end of 2005
    Covariant Differential Calculus on the Quantum Hyperplane
    Julius Wess (Karlsruhe U.), Bruno Zumino (UC, Berkeley & CERN). Apr 1990. 21 pp.
    Published in Nucl.Phys.Proc.Suppl. 18B (1991) 302-312
    CERN-TH-5697/90, LAPP-TH-284/90
    DOI: 10.1016/0920-5632(91)90143-3
    Conference: C90-03-05

  73. 22 citations by math eprints up to the end of 2005
  74. 22 citations by math eprints up to the end of 2005
  75. 22 citations by math eprints up to the end of 2005
  76. 21 citations by math eprints up to the end of 2005
  77. 21 citations by math eprints up to the end of 2005
  78. 21 citations by math eprints up to the end of 2005
  79. 20 citations by math eprints up to the end of 2005
    Strings on Orbifolds
    Lance J. Dixon, Jeffrey A. Harvey, C. Vafa, Edward Witten (Princeton U.). Jul 1985. 9 pp.
    Published in Nucl.Phys. B261 (1985) 678-686
    PRINT-85-0616 (PRINCETON)
    DOI: 10.1016/0550-3213(85)90593-0

  80. 20 citations by math eprints up to the end of 2005
  81. 20 citations by math eprints up to the end of 2005
  82. 20 citations by math eprints up to the end of 2005
  83. 20 citations by math eprints up to the end of 2005
  84. 20 citations by math eprints up to the end of 2005
  85. 20 citations by math eprints up to the end of 2005
  86. 20 citations by math eprints up to the end of 2005
  87. 20 citations by math eprints up to the end of 2005
  88. 19 citations by math eprints up to the end of 2005
  89. 19 citations by math eprints up to the end of 2005
    The Planar Approximation. 2.
    C. Itzykson, J.B. Zuber (Saclay). Jun 1979. 27 pp.
    Published in J.Math.Phys. 21 (1980) 411
    SACLAY-DPh-T 79/82
    DOI: 10.1063/1.524438
    Conference: C80-06-02

  90. 19 citations by math eprints up to the end of 2005
    Factorizing Particles on a Half Line and Root Systems
    I.V. Cherednik (Moscow State U.). 1985. 10 pp.
    Published in Theor.Math.Phys. 61 (1984) 977-983, Teor.Mat.Fiz. 61 (1984) 35-44
    DOI: 10.1007/BF01038545

  91. 19 citations by math eprints up to the end of 2005
  92. 19 citations by math eprints up to the end of 2005
  93. 19 citations by math eprints up to the end of 2005
    Phases of N=2 theories in two-dimensions
    Edward Witten (Princeton, Inst. Advanced Study). Jan 1993. 93 pp.
    Published in Nucl.Phys. B403 (1993) 159-222, AMS/IP Stud.Adv.Math. 1 (1996) 143-211
    IASSNS-HEP-93-3
    DOI: 10.1016/0550-3213(93)90033-L
    e-Print: hep-th/9301042 | PDF

  94. 19 citations by math eprints up to the end of 2005
  95. 19 citations by math eprints up to the end of 2005
  96. 18 citations by math eprints up to the end of 2005
  97. 18 citations by math eprints up to the end of 2005
    Duality in {Calabi-Yau} Moduli Space
    Brian R. Greene, M.R. Plesser (Harvard U.). Mar 5, 1990. 23 pp.
    Published in Nucl.Phys. B338 (1990) 15-37
    HUTP-89-A043A, HUTMP-89-B245
    DOI: 10.1016/0550-3213(90)90622-K

  98. 18 citations by math eprints up to the end of 2005
    General Concept of Quantization
    F.A. Berezin (BITP, Kiev). 1974. 28 pp.
    Published in Commun.Math.Phys. 40 (1975) 153-174
    ITF-74-20E-MC
    DOI: 10.1007/BF01609397

  99. 18 citations by math eprints up to the end of 2005
    The Yang-Mills equations over Riemann surfaces
    M.F. Atiyah (Oxford U.), R. Bott (Harvard U.). 1982. 93 pp.
    Published in Phil.Trans.Roy.Soc.Lond. A308 (1982) 523-615

  100. 18 citations by math eprints up to the end of 2005