Top Cited Articles of All Time (2015 edition) by math

The 100 most highly cited papers of All Time (2015 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 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 2015 editions

2015 reports for eprints

  1. 229 citations by math eprints up to the end of 2015
  2. 173 citations by math eprints up to the end of 2015
  3. 169 citations by math eprints up to the end of 2015
  4. 135 citations by math eprints up to the end of 2015
  5. 130 citations by math eprints up to the end of 2015
  6. 126 citations by math eprints up to the end of 2015
  7. 118 citations by math eprints up to the end of 2015
  8. 111 citations by math eprints up to the end of 2015
  9. 111 citations by math eprints up to the end of 2015
  10. 110 citations by math eprints up to the end of 2015
  11. 107 citations by math eprints up to the end of 2015
    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

  12. 106 citations by math eprints up to the end of 2015
  13. 103 citations by math eprints up to the end of 2015
  14. 97 citations by math eprints up to the end of 2015
  15. 94 citations by math eprints up to the end of 2015
    The Large N limit of superconformal field theories and supergravity
    Juan Martin Maldacena (Harvard U.). Nov 1997. 21 pp.
    Published in Int.J.Theor.Phys. 38 (1999) 1113-1133, Adv.Theor.Math.Phys. 2 (1998) 231-252
    HUTP-97-A097, HUTP-98-A097
    DOI: 10.1023/A:1026654312961
    e-Print: hep-th/9711200 | PDF

  16. 92 citations by math eprints up to the end of 2015
    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

  17. 90 citations by math eprints up to the end of 2015
  18. 90 citations by math eprints up to the end of 2015
    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

  19. 88 citations by math eprints up to the end of 2015
    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

  20. 87 citations by math eprints up to the end of 2015
  21. 85 citations by math eprints up to the end of 2015
  22. 83 citations by math eprints up to the end of 2015
  23. 79 citations by math eprints up to the end of 2015
  24. 78 citations by math eprints up to the end of 2015
  25. 76 citations by math eprints up to the end of 2015
    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

  26. 76 citations by math eprints up to the end of 2015
  27. 75 citations by math eprints up to the end of 2015
  28. 75 citations by math eprints up to the end of 2015
    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

  29. 75 citations by math eprints up to the end of 2015
  30. 74 citations by math eprints up to the end of 2015
  31. 74 citations by math eprints up to the end of 2015
    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

  32. 74 citations by math eprints up to the end of 2015
  33. 73 citations by math eprints up to the end of 2015
  34. 72 citations by math eprints up to the end of 2015
  35. 72 citations by math eprints up to the end of 2015
  36. 71 citations by math eprints up to the end of 2015
  37. 70 citations by math eprints up to the end of 2015
    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

  38. 70 citations by math eprints up to the end of 2015
    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

  39. 69 citations by math eprints up to the end of 2015
    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

  40. 69 citations by math eprints up to the end of 2015
  41. 68 citations by math eprints up to the end of 2015
  42. 68 citations by math eprints up to the end of 2015
  43. 68 citations by math eprints up to the end of 2015
  44. 68 citations by math eprints up to the end of 2015
  45. 67 citations by math eprints up to the end of 2015
  46. 66 citations by math eprints up to the end of 2015
  47. 65 citations by math eprints up to the end of 2015
  48. 65 citations by math eprints up to the end of 2015
  49. 64 citations by math eprints up to the end of 2015
  50. 64 citations by math eprints up to the end of 2015
  51. 64 citations by math eprints up to the end of 2015
    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

  52. 64 citations by math eprints up to the end of 2015
  53. 63 citations by math eprints up to the end of 2015
  54. 63 citations by math eprints up to the end of 2015
  55. 62 citations by math eprints up to the end of 2015
    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

  56. 62 citations by math eprints up to the end of 2015
  57. 62 citations by math eprints up to the end of 2015
  58. 62 citations by math eprints up to the end of 2015
  59. 62 citations by math eprints up to the end of 2015
  60. 62 citations by math eprints up to the end of 2015
    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

  61. 62 citations by math eprints up to the end of 2015
  62. 62 citations by math eprints up to the end of 2015
  63. 62 citations by math eprints up to the end of 2015
  64. 61 citations by math eprints up to the end of 2015
    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

  65. 61 citations by math eprints up to the end of 2015
  66. 61 citations by math eprints up to the end of 2015
  67. 60 citations by math eprints up to the end of 2015
    Factorizing Particles on a Half Line and Root Systems
    I.V. Cherednik (Moscow State U.). 1985.
    Published in Theor.Math.Phys. 61 (1984) 977-983, Teor.Mat.Fiz. 61 (1984) 35-44
    DOI: 10.1007/BF01038545

  68. 60 citations by math eprints up to the end of 2015
  69. 60 citations by math eprints up to the end of 2015
  70. 59 citations by math eprints up to the end of 2015
    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

  71. 59 citations by math eprints up to the end of 2015
    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

  72. 59 citations by math eprints up to the end of 2015
  73. 58 citations by math eprints up to the end of 2015
  74. 58 citations by math eprints up to the end of 2015
  75. 58 citations by math eprints up to the end of 2015
    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

  76. 57 citations by math eprints up to the end of 2015
  77. 56 citations by math eprints up to the end of 2015
  78. 55 citations by math eprints up to the end of 2015
    Quantum mechanics as a statistical theory
    J.E. Moyal. 1949. 26 pp.
    Published in Proc.Cambridge Phil.Soc. 45 (1949) 99-124
    DOI: 10.1017/S0305004100000487

  79. 55 citations by math eprints up to the end of 2015
  80. 55 citations by math eprints up to the end of 2015
    Calculation Of Norms Of Bethe Wave Functions
    V.E. Korepin (Saclay). 1982. 28 pp.
    Published in Commun.Math.Phys. 86 (1982) 391-418
    DOI: 10.1007/BF01212176

  81. 55 citations by math eprints up to the end of 2015
  82. 55 citations by math eprints up to the end of 2015
  83. 55 citations by math eprints up to the end of 2015
  84. 55 citations by math eprints up to the end of 2015
  85. 55 citations by math eprints up to the end of 2015
  86. 55 citations by math eprints up to the end of 2015
  87. 55 citations by math eprints up to the end of 2015
    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

  88. 55 citations by math eprints up to the end of 2015
  89. 54 citations by math eprints up to the end of 2015
    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

  90. 54 citations by math eprints up to the end of 2015
  91. 54 citations by math eprints up to the end of 2015
  92. 54 citations by math eprints up to the end of 2015
  93. 54 citations by math eprints up to the end of 2015
  94. 54 citations by math eprints up to the end of 2015
  95. 54 citations by math eprints up to the end of 2015
  96. 54 citations by math eprints up to the end of 2015
  97. 53 citations by math eprints up to the end of 2015
  98. 53 citations by math eprints up to the end of 2015
  99. 53 citations by math eprints up to the end of 2015
  100. 53 citations by math eprints up to the end of 2015