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Subfield · Geometry and Topology

Top Geometry and Topology Researchers

Edward Witten ranks first, out of 5,018 ranked researchers.

Composite score: field-normalised excellence, output and total citations weighted 50 / 30 / 20, each as a percentile so no single heavy-tailed measure dominates. Floor: 15 works, and an institution the snapshot can resolve.

The ranking

  1. 1 Edward Witten United States · #88 worldwide 7.2k citations · 151 works
  2. 2 Stephan Ramon Garcia United States · #107 worldwide 4k citations · 136 works
  3. 3 Heng Fan China · #132 worldwide 5.5k citations · 146 works
  4. 4 Steven J. Miller United States · #283 worldwide 3.8k citations · 110 works
  5. 5 H. S. M. Coxeter Canada · #1,398 worldwide 1.3k citations · 115 works
  6. 6 David Hilbert Germany · #2,136 worldwide 666 citations · 113 works
  7. 7 Jeffrey C. Lagarias United States · #2,191 worldwide 1.9k citations · 76 works
  8. 8 Michael Atiyah United Kingdom · #2,229 worldwide 1.4k citations · 87 works
  9. 9 Terence Tao United States · #2,469 worldwide 3.1k citations · 215 works
  10. 10 G. H. Hardy United Kingdom · #2,515 worldwide 939 citations · 96 works
  11. 11 David J. Benson United States · #2,816 worldwide 1.5k citations · 75 works
  12. 12 Gilbert Strang United States · #2,821 worldwide 1k citations · 99 works
  13. 13 Pierre Deligne France · #2,851 worldwide 1.3k citations · 71 works
  14. 14 Henri Poincaré France · #2,870 worldwide 596 citations · 96 works
  15. 15 Fred L. Bookstein United States · #2,912 worldwide 1.3k citations · 101 works
  16. 16 Jean-Pierre Serre France · #3,009 worldwide 1.5k citations · 158 works
  17. 17 Róbert Hermann Finland · #3,293 worldwide 1.2k citations · 98 works
  18. 18 J. H. van Lint Netherlands · #3,370 worldwide 980 citations · 102 works
  19. 19 Vladimir I. Arnold Russia · #3,467 worldwide 1.5k citations · 136 works
  20. 20 Luis Caffarelli United States · #4,243 worldwide 1.5k citations · 92 works
  21. 21 Shiing-Shen Chern United States · #4,300 worldwide 1.1k citations · 84 works
  22. 22 Alain Connes France · #4,358 worldwide 1.3k citations · 90 works
  23. 23 Persi Diaconis United States · #5,021 worldwide 1.5k citations · 100 works
  24. 24 V. E. Korepin United States · #5,117 worldwide 1.5k citations · 99 works
  25. 25 James A. Yorke United States · #5,175 worldwide 2.1k citations · 130 works
  26. 26 Philip J. Davis United States · #5,382 worldwide 721 citations · 74 works
  27. 27 Barry Simon United States · #5,405 worldwide 1.6k citations · 145 works
  28. 28 Haïm Brézis France · #5,510 worldwide 919 citations · 72 works
  29. 29 Ingram Olkin United States · #5,677 worldwide 2k citations · 168 works
  30. 30 I. J. Schoenberg United States · #5,723 worldwide 1k citations · 87 works
  31. 31 Richard A. Reyment Sweden · #5,892 worldwide 1.3k citations · 75 works
  32. 32 John Milnor United States · #5,951 worldwide 1.7k citations · 57 works
  33. 33 Solomon W. Golomb United States · #6,768 worldwide 776 citations · 89 works
  34. 34 Jacques Tits France · #7,140 worldwide 588 citations · 72 works
  35. 35 Irving Kaplansky United States · #7,572 worldwide 514 citations · 69 works
  36. 36 J. W. S. Cassels United Kingdom · #7,741 worldwide 510 citations · 63 works
  37. 37 Goro Shimura United States · #7,799 worldwide 907 citations · 66 works
  38. 38 Ivan Niven United States · #8,315 worldwide 604 citations · 59 works
  39. 39 László Lovász Hungary · #8,402 worldwide 1.2k citations · 114 works
  40. 40 Gian‐Carlo Rota United States · #8,408 worldwide 1.8k citations · 243 works
  41. 41 Fan Chung United States · #8,554 worldwide 1.1k citations · 82 works
  42. 42 Barry Mazur United States · #8,590 worldwide 671 citations · 70 works
  43. 43 Garrett Birkhoff United States · #8,872 worldwide 646 citations · 85 works
  44. 44 Richard Courant United States · #8,962 worldwide 370 citations · 78 works
  45. 45 H. Davenport United Kingdom · #9,074 worldwide 512 citations · 79 works
  46. 46 I. M. Gel'fand United States · #9,314 worldwide 648 citations · 59 works
  47. 47 Alexander Schrijver Netherlands · #9,360 worldwide 1.2k citations · 80 works
  48. 48 Cumrun Vafa United States · #9,650 worldwide 2.1k citations · 89 works
  49. 49 Hermann Weyl Switzerland · #9,751 worldwide 429 citations · 69 works
  50. 50 P. Erdös Hungary · #10,229 worldwide 815 citations · 99 works
  51. 51 Hyman Bass United States · #10,448 worldwide 853 citations · 55 works
  52. 52 Herbert S. Wilf United States · #10,997 worldwide 690 citations · 92 works
  53. 53 Richard Askey United States · #11,228 worldwide 653 citations · 73 works
  54. 54 Jean Bourgain United States · #11,238 worldwide 1.4k citations · 142 works
  55. 55 Shing–Tung Yau United States · #11,358 worldwide 2.1k citations · 180 works
  56. 56 Richard Taylor United Kingdom · #11,729 worldwide 505 citations · 76 works
  57. 57 Hassler Whitney United States · #12,606 worldwide 627 citations · 49 works
  58. 58 L. D. Faddeev Russia · #13,051 worldwide 994 citations · 49 works
  59. 59 David Mumford United States · #13,452 worldwide 630 citations · 83 works
  60. 60 Gang Tian United States · #13,688 worldwide 926 citations · 89 works
  61. 61 Hans Grauert Germany · #13,854 worldwide 427 citations · 58 works
  62. 62 Andreĭ Okounkov United States · #13,921 worldwide 785 citations · 50 works
  63. 63 Andrew Odlyzko United States · #14,259 worldwide 899 citations · 83 works
  64. 64 J. E. Littlewood United Kingdom · #14,715 worldwide 611 citations · 48 works
  65. 65 Jerrold E. Marsden United States · #14,934 worldwide 1.8k citations · 169 works
  66. 66 Bertrand Russell Canada · #15,181 worldwide 1.1k citations · 648 works
  67. 67 P. M. Cohn United Kingdom · #15,559 worldwide 578 citations · 75 works
  68. 68 Kristin Lauter United States · #15,566 worldwide 609 citations · 57 works
  69. 69 Guanrong Chen Hong Kong · #16,480 worldwide 5.4k citations · 497 works
  70. 70 Gregory Moore United States · #16,793 worldwide 514 citations · 81 works
  71. 71 Hong‐Kun Xu Taiwan · #16,939 worldwide 790 citations · 51 works
  72. 72 Branko Grünbaum United States · #17,064 worldwide 546 citations · 51 works
  73. 73 Arnaud Beauville France · #17,966 worldwide 488 citations · 44 works
  74. 74 John W. Morgan United States · #17,979 worldwide 708 citations · 70 works
  75. 75 Boris Dubrovin Italy · #18,188 worldwide 825 citations · 54 works
  76. 76 Wilhelm Magnus United States · #18,260 worldwide 491 citations · 48 works
  77. 77 Aurel Wintner United States · #18,499 worldwide 598 citations · 113 works
  78. 78 Simon Donaldson United Kingdom · #18,632 worldwide 768 citations · 46 works
  79. 79 Alfred Gray United States · #18,650 worldwide 546 citations · 63 works
  80. 80 Andrew R. Teel United States · #18,975 worldwide 2.2k citations · 183 works
  81. 81 Jeff Cheeger United States · #19,466 worldwide 787 citations · 41 works
  82. 82 Paul Seymour United States · #19,753 worldwide 1k citations · 108 works
  83. 83 Robin Hartshorne United States · #19,975 worldwide 439 citations · 48 works
  84. 84 Nigel Hitchin United Kingdom · #19,976 worldwide 832 citations · 41 works
  85. 85 Öystein Ore United States · #20,232 worldwide 325 citations · 77 works
  86. 86 S. Ferrara Switzerland · #20,626 worldwide 1.9k citations · 143 works
  87. 87 C. T. C. Wall United Kingdom · #20,831 worldwide 562 citations · 54 works
  88. 88 Tetsuji Miwa Japan · #20,976 worldwide 777 citations · 46 works
  89. 89 W. K. Hayman United Kingdom · #21,446 worldwide 377 citations · 51 works
  90. 90 Jacques Hadamard France · #21,640 worldwide 410 citations · 43 works
  91. 91 Pekka Koskela Finland · #21,904 worldwide 657 citations · 63 works
  92. 92 John Guckenheimer United States · #22,268 worldwide 701 citations · 60 works
  93. 93 Clifford Henry Taubes United States · #22,431 worldwide 493 citations · 54 works
  94. 94 Michael R. Douglas United States · #22,762 worldwide 1k citations · 53 works
  95. 95 Carl Ludwig Siegel Germany · #22,882 worldwide 393 citations · 43 works
  96. 96 Peter Borwein Canada · #23,123 worldwide 521 citations · 110 works
  97. 97 John McKay Canada · #23,436 worldwide 627 citations · 60 works
  98. 98 Vašek Chvátal Canada · #23,750 worldwide 567 citations · 42 works
  99. 99 I. M. Krichever United States · #24,015 worldwide 629 citations · 51 works
  100. 100 Claus Michael Ringel Germany · #24,055 worldwide 540 citations · 59 works

authors from the 6,000 highest-output in Geometry and Topology, re-ranked on the composite score. Author identities come from OpenAlex disambiguation and inherit its errors: a merged record can put one name over two people’s work, and a split one can halve a career. Every row links out to the OpenAlex record so the underlying claim is checkable, and anything that looks wrong can be reported from the row. That report files a correction against the bibliographic record for a human to review — it is not a removal or delisting request, and no such route exists yet.

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