Top Cited Articles of All Time (2004 edition) in math

The 100 most highly cited papers of All Time (2004 edition) 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 2016-12-31. 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 2004 editions

2004 reports for eprints

  1. 233 citations up to the end of 2004
  2. 142 citations up to the end of 2004
  3. 92 citations up to the end of 2004
  4. 71 citations up to the end of 2004
  5. 64 citations up to the end of 2004
  6. 61 citations up to the end of 2004
  7. 45 citations up to the end of 2004
  8. 44 citations up to the end of 2004
  9. 40 citations up to the end of 2004
  10. 38 citations up to the end of 2004
  11. 37 citations up to the end of 2004
  12. 37 citations up to the end of 2004
  13. 36 citations up to the end of 2004
  14. 36 citations up to the end of 2004
  15. 34 citations up to the end of 2004
  16. 34 citations up to the end of 2004
    Standard model bundles
    Ron Donagi (Pennsylvania U., Dept. Math.), Burt A. Ovrut (Pennsylvania U.), Tony Pantev (Pennsylvania U., Dept. Math.), Dan Waldram (CERN & Rockefeller U.). Aug 2000. 45 pp.
    Published in Adv.Theor.Math.Phys. 5 (2002) 563-615
    CERN-TH-2000-203, CERN-TH-2000-203-A, UPR-894-T, RU-00-5-B
    e-Print: math/0008010 | PDF

  17. 34 citations up to the end of 2004
  18. 32 citations up to the end of 2004
  19. 31 citations up to the end of 2004
  20. 31 citations up to the end of 2004
    The Intrinsic torsion of SU(3) and G(2) structures
    Simon Chiossi (Genoa U.), Simon Salamon (Turin Polytechnic). Feb 2002. 18 pp.
    Published in Submitted to: J.Diff.Geom.
    To appear in the proceedings of Conference: C01-05-08.4
    e-Print: math/0202282 | PDF

  21. 30 citations up to the end of 2004
  22. 29 citations up to the end of 2004
  23. 28 citations up to the end of 2004
  24. 28 citations up to the end of 2004
  25. 27 citations up to the end of 2004
  26. 27 citations up to the end of 2004
  27. 27 citations up to the end of 2004
  28. 27 citations up to the end of 2004
  29. 26 citations up to the end of 2004
    The Octonions
    John C. Baez (UC, Riverside, Math. Dept.). May 2001. 56 pp.
    Published in Bull.Am.Math.Soc. 39 (2002) 145-205
    DOI: 10.1090/S0273-0979-01-00934-X
    e-Print: math/0105155 | PDF

  30. 26 citations up to the end of 2004
  31. 26 citations up to the end of 2004
  32. 25 citations up to the end of 2004
  33. 25 citations up to the end of 2004
  34. 25 citations up to the end of 2004
  35. 24 citations up to the end of 2004
  36. 23 citations up to the end of 2004
  37. 22 citations up to the end of 2004
  38. 22 citations up to the end of 2004
  39. 21 citations up to the end of 2004
    Selfdual Einstein metrics with torus symmetry
    David M.J. Calderbank, Henrik Pedersen. May 2001. 37 pp.
    Published in J.Diff.Geom. 60 (2002) no.3, 485-521
    EDINBURGH-MS-00-022-REVISED-SUBJ-CLASS:-DIFFERENTIAL-GEOMETRY
    e-Print: math/0105263 | PDF

  40. 20 citations up to the end of 2004
  41. 20 citations up to the end of 2004
  42. 20 citations up to the end of 2004
  43. 19 citations up to the end of 2004
  44. 19 citations up to the end of 2004
  45. 19 citations up to the end of 2004
  46. 19 citations up to the end of 2004
  47. 18 citations up to the end of 2004
  48. 17 citations up to the end of 2004
  49. 17 citations up to the end of 2004
  50. 16 citations up to the end of 2004
  51. 16 citations up to the end of 2004
  52. 16 citations up to the end of 2004
    Quantum Teichmuller space
    L. Chekhov (Steklov Math. Inst., Moscow), V.V. Fock (Moscow, ITEP). Aug 1999. 16 pp.
    Published in Theor.Math.Phys. 120 (1999) 1245-1259, Teor.Mat.Fiz. 120 (1999) 511-528
    DOI: 10.1007/BF02557246
    e-Print: math/9908165 | PDF

  53. 16 citations up to the end of 2004
  54. 15 citations up to the end of 2004
  55. 15 citations up to the end of 2004
  56. 14 citations up to the end of 2004
  57. 14 citations up to the end of 2004
  58. 14 citations up to the end of 2004
  59. 13 citations up to the end of 2004
  60. 13 citations up to the end of 2004
  61. 12 citations up to the end of 2004
  62. 12 citations up to the end of 2004
  63. 12 citations up to the end of 2004
  64. 12 citations up to the end of 2004
  65. 11 citations up to the end of 2004
  66. 10 citations up to the end of 2004
  67. 10 citations up to the end of 2004
    Gauge theory and calibrated geometry. 1.
    Gang Tian (MIT). Oct 2000. 76 pp.
    Published in Annals Math. 151 (2000) 193-268
    DOI: 10.2307/121116
    e-Print: math/0010015 | PDF

  68. 10 citations up to the end of 2004
  69. 9 citations up to the end of 2004
  70. 9 citations up to the end of 2004
  71. 8 citations up to the end of 2004
  72. 7 citations up to the end of 2004
  73. 7 citations up to the end of 2004
  74. 6 citations up to the end of 2004
    Toda equations for Hurwitz numbers
    Andrei Okounkov. Apr 19, 2000. 7 pp.
    Published in Math.Res.Lett. 7 (2000) no.4, 447-453
    DOI: 10.4310/MRL.2000.v7.n4.a10
    e-Print: math/0004128 | PDF

  75. 5 citations up to the end of 2004
  76. 5 citations up to the end of 2004
  77. 4 citations up to the end of 2004
  78. 4 citations up to the end of 2004
  79. 4 citations up to the end of 2004
  80. 4 citations up to the end of 2004
  81. 4 citations up to the end of 2004
  82. 3 citations up to the end of 2004
  83. 3 citations up to the end of 2004
  84. 2 citations up to the end of 2004
  85. 2 citations up to the end of 2004
  86. 2 citations up to the end of 2004
  87. 2 citations up to the end of 2004
  88. 1 citations up to the end of 2004
  89. 1 citations up to the end of 2004
  90. 0 citations up to the end of 2004
    Derived brackets
    Yvette Kosmann-Schwarzbach (Ecole Polytechnique). Dec 2003. 26 pp.
    Published in Lett.Math.Phys. 69 (2004) 61-87
    DOI: 10.1007/s11005-004-0608-8
    Lectures given at Conference: C03-06-13.2
    e-Print: math/0312524 | PDF

  91. 0 citations up to the end of 2004
  92. 0 citations up to the end of 2004
  93. 0 citations up to the end of 2004
  94. 0 citations up to the end of 2004
    XSummer: Transcendental functions and symbolic summation in form
    S. Moch (DESY, Zeuthen), P. Uwer (CERN). Jul 2005. 21 pp.
    Published in Comput.Phys.Commun. 174 (2006) 759-770
    DESY-05-104, SFB-CPP-05-24, CERN-PH-TH-2005-124
    DOI: 10.1016/j.cpc.2005.12.014
    e-Print: math-ph/0508008 | PDF

  95. 0 citations up to the end of 2004
  96. 0 citations up to the end of 2004
  97. 0 citations up to the end of 2004
  98. 0 citations up to the end of 2004
  99. 0 citations up to the end of 2004
  100. 0 citations up to the end of 2004