Top Cited Articles of All Time (2013 edition) by math

The 100 most highly cited papers of All Time (2013 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 2018-01-08. 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 2013 editions

2013 reports for eprints

  1. 184 citations by math eprints up to the end of 2013
  2. 150 citations by math eprints up to the end of 2013
  3. 143 citations by math eprints up to the end of 2013
  4. 113 citations by math eprints up to the end of 2013
  5. 111 citations by math eprints up to the end of 2013
  6. 105 citations by math eprints up to the end of 2013
  7. 102 citations by math eprints up to the end of 2013
  8. 98 citations by math eprints up to the end of 2013
  9. 95 citations by math eprints up to the end of 2013
    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

  10. 94 citations by math eprints up to the end of 2013
  11. 94 citations by math eprints up to the end of 2013
  12. 91 citations by math eprints up to the end of 2013
  13. 88 citations by math eprints up to the end of 2013
  14. 83 citations by math eprints up to the end of 2013
  15. 80 citations by math eprints up to the end of 2013
    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

  16. 78 citations by math eprints up to the end of 2013
  17. 77 citations by math eprints up to the end of 2013
    Lie Superalgebras
    V.G. Kac (MIT, LNS). 1977. 89 pp.
    Published in Adv.Math. 26 (1977) 8-96
    DOI: 10.1016/0001-8708(77)90017-2

  18. 76 citations by math eprints up to the end of 2013
  19. 71 citations by math eprints up to the end of 2013
  20. 70 citations by math eprints up to the end of 2013
  21. 70 citations by math eprints up to the end of 2013
  22. 69 citations by math eprints up to the end of 2013
  23. 68 citations by math eprints up to the end of 2013
    2-D Gravity and random matrices
    P. Di Francesco (Saclay), Paul H. Ginsparg (Los Alamos), Jean Zinn-Justin (Saclay). Jun 1993. 168 pp.
    Published in Phys.Rept. 254 (1995) 1-133
    LA-UR-93-1722, SACLAY-SPH-T-93-061
    DOI: 10.1016/0370-1573(94)00084-G
    e-Print: hep-th/9306153 | PDF

  24. 67 citations by math eprints up to the end of 2013
    On Unitary Representations of the Inhomogeneous Lorentz Group
    Eugene P. Wigner (Princeton U.). 1939. 56 pp.
    Published in Annals Math. 40 (1939) 149-204, Nucl.Phys.Proc.Suppl. 6 (1989) 9-64
    DOI: 10.2307/1968551
    Conference: C88-05-24

  25. 67 citations by math eprints up to the end of 2013
  26. 67 citations by math eprints up to the end of 2013
  27. 65 citations by math eprints up to the end of 2013
    The Topological vertex
    Mina Aganagic (Harvard U.), Albrecht Klemm (Humboldt U., Berlin), Marcos Marino (CERN), Cumrun Vafa (Harvard U. & Caltech). May 2003. 70 pp.
    Published in Commun.Math.Phys. 254 (2005) 425-478
    CALT-68-2439, HUTP-03-A032, HU-EP-03-24, CERN-TH-2003-111
    DOI: 10.1007/s00220-004-1162-z
    e-Print: hep-th/0305132 | PDF

  28. 64 citations by math eprints up to the end of 2013
    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

  29. 64 citations by math eprints up to the end of 2013
  30. 62 citations by math eprints up to the end of 2013
  31. 62 citations by math eprints up to the end of 2013
  32. 62 citations by math eprints up to the end of 2013
  33. 61 citations by math eprints up to the end of 2013
  34. 61 citations by math eprints up to the end of 2013
  35. 60 citations by math eprints up to the end of 2013
  36. 59 citations by math eprints up to the end of 2013
  37. 59 citations by math eprints up to the end of 2013
  38. 58 citations by math eprints up to the end of 2013
  39. 58 citations by math eprints up to the end of 2013
  40. 58 citations by math eprints up to the end of 2013
  41. 57 citations by math eprints up to the end of 2013
    Dynamical Breaking of Supersymmetry
    Edward Witten (Princeton U.). May 1981. 42 pp.
    Published in Nucl.Phys. B188 (1981) 513
    Print-81-0317 (PRINCETON)
    DOI: 10.1016/0550-3213(81)90006-7

  42. 57 citations by math eprints up to the end of 2013
    Planar Diagrams
    E. Brezin, C. Itzykson, G. Parisi, J.B. Zuber (Saclay). Nov 1977. 20 pp.
    Published in Commun.Math.Phys. 59 (1978) 35
    SACLAY-DPH-T-77-126
    DOI: 10.1007/BF01614153

  43. 57 citations by math eprints up to the end of 2013
    Quantum field theory on noncommutative spaces
    Richard J. Szabo (Heriot-Watt U.). Sep 2001. 103 pp.
    Published in Phys.Rept. 378 (2003) 207-299
    HWM-01-35, EMPG-01-14
    DOI: 10.1016/S0370-1573(03)00059-0
    Invited talk at Conference: C01-07-16
    e-Print: hep-th/0109162 | PDF

  44. 56 citations by math eprints up to the end of 2013
  45. 56 citations by math eprints up to the end of 2013
    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

  46. 56 citations by math eprints up to the end of 2013
  47. 55 citations by math eprints up to the end of 2013
  48. 55 citations by math eprints up to the end of 2013
    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

  49. 54 citations by math eprints up to the end of 2013
  50. 53 citations by math eprints up to the end of 2013
    Quantized space-time
    Hartland S. Snyder (Northwestern U.). May 1946. 4 pp.
    Published in Phys.Rev. 71 (1947) 38-41
    DOI: 10.1103/PhysRev.71.38

  51. 53 citations by math eprints up to the end of 2013
  52. 52 citations by math eprints up to the end of 2013
  53. 52 citations by math eprints up to the end of 2013
  54. 52 citations by math eprints up to the end of 2013
  55. 52 citations by math eprints up to the end of 2013
  56. 51 citations by math eprints up to the end of 2013
  57. 51 citations by math eprints up to the end of 2013
  58. 51 citations by math eprints up to the end of 2013
    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

  59. 51 citations by math eprints up to the end of 2013
  60. 51 citations by math eprints up to the end of 2013
  61. 50 citations by math eprints up to the end of 2013
  62. 50 citations by math eprints up to the end of 2013
  63. 50 citations by math eprints up to the end of 2013
  64. 49 citations by math eprints up to the end of 2013
    The Quantum Inverse Problem Method. 1 (In Russian)
    L.D. Faddeev, E.K. Sklyanin, L.A. Takhtajan (Steklov Math. Inst., St. Petersburg). 1979. 35 pp.
    Published in Theor.Math.Phys. 40 (1980) 688-706, Teor.Mat.Fiz. 40 (1979) 194-220
    LOMI-P-1-79

  65. 49 citations by math eprints up to the end of 2013
    The Selfduality equations on a Riemann surface
    Nigel J. Hitchin (Oxford U.). Sep 1986. 73 pp.
    Published in Proc.Lond.Math.Soc. 55 (1987) 59-131
    DOI: 10.1112/plms/s3-55.1.59

  66. 49 citations by math eprints up to the end of 2013
  67. 49 citations by math eprints up to the end of 2013
  68. 49 citations by math eprints up to the end of 2013
  69. 49 citations by math eprints up to the end of 2013
  70. 49 citations by math eprints up to the end of 2013
  71. 49 citations by math eprints up to the end of 2013
  72. 48 citations by math eprints up to the end of 2013
  73. 48 citations by math eprints up to the end of 2013
  74. 47 citations by math eprints up to the end of 2013
    Introduction to SH Lie algebras for physicists
    Tom Lada, Jim Stasheff (North Carolina U.). Sep 1992. 14 pp.
    Published in Int.J.Theor.Phys. 32 (1993) 1087-1104
    UNC-MATH-92-2
    DOI: 10.1007/BF00671791
    e-Print: hep-th/9209099 | PDF

  75. 47 citations by math eprints up to the end of 2013
  76. 47 citations by math eprints up to the end of 2013
  77. 46 citations by math eprints up to the end of 2013
  78. 46 citations by math eprints up to the end of 2013
    Geometry of 2-D topological field theories
    Boris Dubrovin (SISSA, Trieste). Jul 22, 1994. 204 pp.
    Published in Lect.Notes Math. 1620 (1996) 120-348
    SISSA-89-94-FM
    DOI: 10.1007/BFb0094793
    Conference: C93-06-14.7 Proceedings
    e-Print: hep-th/9407018 | PDF

  79. 46 citations by math eprints up to the end of 2013
  80. 46 citations by math eprints up to the end of 2013
  81. 46 citations by math eprints up to the end of 2013
    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

  82. 46 citations by math eprints up to the end of 2013
  83. 46 citations by math eprints up to the end of 2013
  84. 46 citations by math eprints up to the end of 2013
  85. 46 citations by math eprints up to the end of 2013
  86. 46 citations by math eprints up to the end of 2013
  87. 46 citations by math eprints up to the end of 2013
  88. 45 citations by math eprints up to the end of 2013
  89. 45 citations by math eprints up to the end of 2013
  90. 45 citations by math eprints up to the end of 2013
  91. 45 citations by math eprints up to the end of 2013
  92. 45 citations by math eprints up to the end of 2013
  93. 45 citations by math eprints up to the end of 2013
  94. 45 citations by math eprints up to the end of 2013
    Remodeling the B-model
    Vincent Bouchard (Harvard U., Phys. Dept.), Albrecht Klemm (Bonn U.), Marcos Marino (CERN), Sara Pasquetti (Neuchatel U.). Sep 2007. 83 pp.
    Published in Commun.Math.Phys. 287 (2009) 117-178
    BONN-TH-2007-07, CERN-PH-TH-2007-153, NEIP-07-03
    DOI: 10.1007/s00220-008-0620-4
    e-Print: arXiv:0709.1453 [hep-th] | PDF

  95. 44 citations by math eprints up to the end of 2013
    A Simple Proof of the Positive Energy Theorem
    Edward Witten (Princeton U.). Jan 1981. 37 pp.
    Published in Commun.Math.Phys. 80 (1981) 381
    Print-81-0057 (PRINCETON)
    DOI: 10.1007/BF01208277

  96. 44 citations by math eprints up to the end of 2013
  97. 44 citations by math eprints up to the end of 2013
  98. 44 citations by math eprints up to the end of 2013
  99. 44 citations by math eprints up to the end of 2013
  100. 44 citations by math eprints up to the end of 2013