Science Explorer Interactive view Map

Top Mathematical Physics Researchers

Stanley Osher ranks first, out of 5,257 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 Stanley Osher United States · #48 worldwide 8k citations · 207 works
  2. 2 Stephan Ramon Garcia United States · #107 worldwide 4k citations · 136 works
  3. 3 Steven J. Miller United States · #283 worldwide 3.8k citations · 110 works
  4. 4 Benoît B. Mandelbrot United States · #426 worldwide 4.2k citations · 109 works
  5. 5 H. S. M. Coxeter Canada · #1,398 worldwide 1.3k citations · 115 works
  6. 6 Peter D. Lax United States · #1,685 worldwide 2k citations · 82 works
  7. 7 Marc Lambert France · #1,779 worldwide 2.1k citations · 83 works
  8. 8 Leo P. Kadanoff United States · #2,164 worldwide 2.2k citations · 81 works
  9. 9 Jeffrey C. Lagarias United States · #2,191 worldwide 1.9k citations · 76 works
  10. 10 Michael Atiyah United Kingdom · #2,229 worldwide 1.4k citations · 87 works
  11. 11 Terence Tao United States · #2,469 worldwide 3.1k citations · 215 works
  12. 12 Bernt Øksendal Norway · #2,498 worldwide 2k citations · 82 works
  13. 13 Pierre Deligne France · #2,851 worldwide 1.3k citations · 71 works
  14. 14 Jean-Pierre Serre France · #3,009 worldwide 1.5k citations · 158 works
  15. 15 E. Brézin France · #3,339 worldwide 1.2k citations · 73 works
  16. 16 Lars Hörmander Sweden · #3,455 worldwide 1.6k citations · 66 works
  17. 17 Vladimir I. Arnold Russia · #3,467 worldwide 1.5k citations · 136 works
  18. 18 Samuel Karlin United States · #3,849 worldwide 1.9k citations · 144 works
  19. 19 Étienne Pardoux France · #4,098 worldwide 1.5k citations · 75 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 Simon Baker United States · #4,341 worldwide 1.3k citations · 71 works
  23. 23 Alain Connes France · #4,358 worldwide 1.3k citations · 90 works
  24. 24 Élliott H. Lieb United States · #4,637 worldwide 2.5k citations · 154 works
  25. 25 Persi Diaconis United States · #5,021 worldwide 1.5k citations · 100 works
  26. 26 James A. Yorke United States · #5,175 worldwide 2.1k citations · 130 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 I. J. Schoenberg United States · #5,723 worldwide 1k citations · 87 works
  30. 30 Harry Kesten United States · #5,840 worldwide 1.2k citations · 71 works
  31. 31 John Milnor United States · #5,951 worldwide 1.7k citations · 57 works
  32. 32 Walter A. Strauss United States · #6,245 worldwide 961 citations · 77 works
  33. 33 Amnon Aharony Israel · #6,877 worldwide 2.9k citations · 156 works
  34. 34 George H. Weiss United States · #7,114 worldwide 2.4k citations · 236 works
  35. 35 Pierre‐Louis Lions France · #7,137 worldwide 1.7k citations · 54 works
  36. 36 David Aldous United States · #7,722 worldwide 1.1k citations · 71 works
  37. 37 Goro Shimura United States · #7,799 worldwide 907 citations · 66 works
  38. 38 Kai Lai Chung United States · #8,016 worldwide 748 citations · 96 works
  39. 39 Gian‐Carlo Rota United States · #8,408 worldwide 1.8k citations · 243 works
  40. 40 Barry Mazur United States · #8,590 worldwide 671 citations · 70 works
  41. 41 Charles Fefferman United States · #8,629 worldwide 1.2k citations · 72 works
  42. 42 Herbert Amann Switzerland · #8,672 worldwide 810 citations · 60 works
  43. 43 Xingyuan Wang China · #8,759 worldwide 1.7k citations · 122 works
  44. 44 Jean Zinn‐Justin France · #8,805 worldwide 1.1k citations · 76 works
  45. 45 I. M. Gel'fand United States · #9,314 worldwide 648 citations · 59 works
  46. 46 David Ruelle France · #9,400 worldwide 933 citations · 112 works
  47. 47 Hans G. Feichtinger Austria · #9,607 worldwide 738 citations · 79 works
  48. 48 Cumrun Vafa United States · #9,650 worldwide 2.1k citations · 89 works
  49. 49 Shlomo Havlin Israel · #10,118 worldwide 2.7k citations · 206 works
  50. 50 P. Erdös Hungary · #10,229 worldwide 815 citations · 99 works
  51. 51 Tosio Kato United States · #10,266 worldwide 1.5k citations · 48 works
  52. 52 Jennifer Chayes United States · #10,365 worldwide 947 citations · 57 works
  53. 53 Edward Ott United States · #10,374 worldwide 2.4k citations · 165 works
  54. 54 Simon Arridge United Kingdom · #10,417 worldwide 1.3k citations · 149 works
  55. 55 Hyman Bass United States · #10,448 worldwide 853 citations · 55 works
  56. 56 Giorgio Parisi Italy · #10,517 worldwide 3k citations · 218 works
  57. 57 Mehran Kardar United States · #10,525 worldwide 1.6k citations · 81 works
  58. 58 Jean Bourgain United States · #11,238 worldwide 1.4k citations · 142 works
  59. 59 Shing–Tung Yau United States · #11,358 worldwide 2.1k citations · 180 works
  60. 60 L. E. Payne United States · #13,529 worldwide 727 citations · 66 works
  61. 61 Gang Tian United States · #13,688 worldwide 926 citations · 89 works
  62. 62 H. Eugene Stanley United States · #13,789 worldwide 5.5k citations · 410 works
  63. 63 Andreĭ Okounkov United States · #13,921 worldwide 785 citations · 50 works
  64. 64 Jerrold E. Marsden United States · #14,934 worldwide 1.8k citations · 169 works
  65. 65 Otto E. Rössler Germany · #15,070 worldwide 864 citations · 73 works
  66. 66 Robin Pemantle United States · #15,274 worldwide 824 citations · 76 works
  67. 67 L. C. Biedenharn United States · #15,684 worldwide 910 citations · 77 works
  68. 68 Nikolay Tzvetkov Bulgaria · #16,224 worldwide 776 citations · 50 works
  69. 69 Guanrong Chen Hong Kong · #16,480 worldwide 5.4k citations · 497 works
  70. 70 Jean Jacod France · #16,675 worldwide 578 citations · 71 works
  71. 71 Xuerong Mao United Kingdom · #16,731 worldwide 1.5k citations · 125 works
  72. 72 Hong‐Kun Xu Taiwan · #16,939 worldwide 790 citations · 51 works
  73. 73 Felix E. Browder United States · #16,988 worldwide 711 citations · 45 works
  74. 74 Robert S. Strichartz United States · #17,189 worldwide 679 citations · 65 works
  75. 75 Michel Talagrand France · #17,596 worldwide 935 citations · 105 works
  76. 76 Percy Deift United States · #18,129 worldwide 761 citations · 54 works
  77. 77 Boris Dubrovin Italy · #18,188 worldwide 825 citations · 54 works
  78. 78 Wilhelm Magnus United States · #18,260 worldwide 491 citations · 48 works
  79. 79 Aurel Wintner United States · #18,499 worldwide 598 citations · 113 works
  80. 80 David Evans United States · #18,519 worldwide 712 citations · 83 works
  81. 81 Simon Donaldson United Kingdom · #18,632 worldwide 768 citations · 46 works
  82. 82 Mark J. Ablowitz United States · #18,635 worldwide 996 citations · 95 works
  83. 83 Oded Schramm United States · #18,660 worldwide 836 citations · 47 works
  84. 84 Samuel Eilenberg United States · #19,532 worldwide 591 citations · 41 works
  85. 85 Karlheinz Gröchenig Austria · #19,646 worldwide 754 citations · 92 works
  86. 86 Karl Kunisch Austria · #19,845 worldwide 1.5k citations · 131 works
  87. 87 Robin Hartshorne United States · #19,975 worldwide 439 citations · 48 works
  88. 88 Nigel Hitchin United Kingdom · #19,976 worldwide 832 citations · 41 works
  89. 89 Robert Shrock United States · #20,106 worldwide 2k citations · 117 works
  90. 90 Peter Monk United States · #20,155 worldwide 780 citations · 73 works
  91. 91 Daniel ben‐Avraham United States · #20,482 worldwide 782 citations · 46 works
  92. 92 Philippe Flajolet France · #20,698 worldwide 710 citations · 51 works
  93. 93 C. T. C. Wall United Kingdom · #20,831 worldwide 562 citations · 54 works
  94. 94 Carlos E. Kenig United States · #21,218 worldwide 1k citations · 97 works
  95. 95 J. F. C. Kingmán United Kingdom · #21,582 worldwide 621 citations · 51 works
  96. 96 Clifford Henry Taubes United States · #22,431 worldwide 493 citations · 54 works
  97. 97 D. Stauffer Germany · #22,487 worldwide 1k citations · 86 works
  98. 98 Kurt Binder Germany · #22,752 worldwide 3.5k citations · 286 works
  99. 99 Carl Ludwig Siegel Germany · #22,882 worldwide 393 citations · 43 works
  100. 100 R. H. Cameron Germany · #23,363 worldwide 770 citations · 67 works

authors from the 6,000 highest-output in Mathematical Physics, 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.

Mathematical Physics by country