Science Explorer Interactive view Map
Subfield · Applied Mathematics

Top Applied Mathematics Researchers

Stanley Osher ranks first, out of 4,929 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 Peter D. Lax United States · #1,685 worldwide 2k citations · 82 works
  4. 4 Brian Street United Kingdom · #2,417 worldwide 1.9k citations · 74 works
  5. 5 Terence Tao United States · #2,469 worldwide 3.1k citations · 215 works
  6. 6 Bernt Øksendal Norway · #2,498 worldwide 2k citations · 82 works
  7. 7 G. H. Hardy United Kingdom · #2,515 worldwide 939 citations · 96 works
  8. 8 Ronald R. Coifman United States · #2,605 worldwide 2k citations · 74 works
  9. 9 Gilbert Strang United States · #2,821 worldwide 1k citations · 99 works
  10. 10 Lars Hörmander Sweden · #3,455 worldwide 1.6k citations · 66 works
  11. 11 Vladimir I. Arnold Russia · #3,467 worldwide 1.5k citations · 136 works
  12. 12 Samuel Karlin United States · #3,849 worldwide 1.9k citations · 144 works
  13. 13 J. L. Lions France · #4,041 worldwide 1.5k citations · 80 works
  14. 14 Étienne Pardoux France · #4,098 worldwide 1.5k citations · 75 works
  15. 15 Luis Caffarelli United States · #4,243 worldwide 1.5k citations · 92 works
  16. 16 Shiing-Shen Chern United States · #4,300 worldwide 1.1k citations · 84 works
  17. 17 A. Lasenby United Kingdom · #4,360 worldwide 3.3k citations · 167 works
  18. 18 Élliott H. Lieb United States · #4,637 worldwide 2.5k citations · 154 works
  19. 19 Antonin Chambolle France · #4,963 worldwide 1.6k citations · 65 works
  20. 20 James A. Yorke United States · #5,175 worldwide 2.1k citations · 130 works
  21. 21 Barry Simon United States · #5,405 worldwide 1.6k citations · 145 works
  22. 22 Haïm Brézis France · #5,510 worldwide 919 citations · 72 works
  23. 23 Ingram Olkin United States · #5,677 worldwide 2k citations · 168 works
  24. 24 I. J. Schoenberg United States · #5,723 worldwide 1k citations · 87 works
  25. 25 Claude Brezinski France · #5,795 worldwide 1.1k citations · 109 works
  26. 26 Barry C. Arnold United States · #5,950 worldwide 1.7k citations · 109 works
  27. 27 Walter A. Strauss United States · #6,245 worldwide 961 citations · 77 works
  28. 28 Sanjiva K. Lele United States · #6,249 worldwide 1.9k citations · 136 works
  29. 29 Irwin W. Sandberg United States · #6,266 worldwide 1.3k citations · 78 works
  30. 30 Louis Nirenberg United States · #6,498 worldwide 2.9k citations · 54 works
  31. 31 Pierre‐Louis Lions France · #7,137 worldwide 1.7k citations · 54 works
  32. 32 Chi‐Wang Shu United States · #7,225 worldwide 2.3k citations · 178 works
  33. 33 Goro Shimura United States · #7,799 worldwide 907 citations · 66 works
  34. 34 G. W. Stewart United States · #7,932 worldwide 1.1k citations · 63 works
  35. 35 Kai Lai Chung United States · #8,016 worldwide 748 citations · 96 works
  36. 36 Gian‐Carlo Rota United States · #8,408 worldwide 1.8k citations · 243 works
  37. 37 Harald Niederreiter Austria · #8,551 worldwide 1.3k citations · 97 works
  38. 38 Charles Fefferman United States · #8,629 worldwide 1.2k citations · 72 works
  39. 39 Herbert Amann Switzerland · #8,672 worldwide 810 citations · 60 works
  40. 40 Eitan Tadmor United States · #8,762 worldwide 1.2k citations · 65 works
  41. 41 T. Kailath United States · #8,837 worldwide 2.1k citations · 175 works
  42. 42 I. M. Gel'fand United States · #9,314 worldwide 648 citations · 59 works
  43. 43 Hans G. Feichtinger Austria · #9,607 worldwide 738 citations · 79 works
  44. 44 Tosio Kato United States · #10,266 worldwide 1.5k citations · 48 works
  45. 45 Albert W. Marshall United States · #10,570 worldwide 1.6k citations · 50 works
  46. 46 Richard Askey United States · #11,228 worldwide 653 citations · 73 works
  47. 47 Jean Bourgain United States · #11,238 worldwide 1.4k citations · 142 works
  48. 48 Shing–Tung Yau United States · #11,358 worldwide 2.1k citations · 180 works
  49. 49 H. P. McKean United States · #11,605 worldwide 1.3k citations · 46 works
  50. 50 William B. Jones United States · #12,394 worldwide 1.1k citations · 48 works
  51. 51 C. Radhakrishna Rao United States · #13,199 worldwide 826 citations · 64 works
  52. 52 L. E. Payne United States · #13,529 worldwide 727 citations · 66 works
  53. 53 Gang Tian United States · #13,688 worldwide 926 citations · 89 works
  54. 54 Antony Jameson United States · #14,402 worldwide 1.2k citations · 98 works
  55. 55 Jerrold E. Marsden United States · #14,934 worldwide 1.8k citations · 169 works
  56. 56 Yonina C. Eldar Israel · #15,902 worldwide 4k citations · 376 works
  57. 57 Nikolay Tzvetkov Bulgaria · #16,224 worldwide 776 citations · 50 works
  58. 58 P. P. Vaidyanathan United States · #16,294 worldwide 1.7k citations · 165 works
  59. 59 Jack K. Hale United States · #16,578 worldwide 739 citations · 94 works
  60. 60 Xuerong Mao United Kingdom · #16,731 worldwide 1.5k citations · 125 works
  61. 61 Felix E. Browder United States · #16,988 worldwide 711 citations · 45 works
  62. 62 Robert S. Strichartz United States · #17,189 worldwide 679 citations · 65 works
  63. 63 Max Gunzburger United States · #17,210 worldwide 1.5k citations · 149 works
  64. 64 Michel Talagrand France · #17,596 worldwide 935 citations · 105 works
  65. 65 Wei Huang China · #18,364 worldwide 810 citations · 82 works
  66. 66 Aurel Wintner United States · #18,499 worldwide 598 citations · 113 works
  67. 67 Simon Donaldson United Kingdom · #18,632 worldwide 768 citations · 46 works
  68. 68 Alfred Gray United States · #18,650 worldwide 546 citations · 63 works
  69. 69 J. M. Anderson Germany · #18,720 worldwide 718 citations · 96 works
  70. 70 Jeff Cheeger United States · #19,466 worldwide 787 citations · 41 works
  71. 71 Karlheinz Gröchenig Austria · #19,646 worldwide 754 citations · 92 works
  72. 72 Karl Kunisch Austria · #19,845 worldwide 1.5k citations · 131 works
  73. 73 Francesco Mainardi Italy · #19,881 worldwide 777 citations · 50 works
  74. 74 Michael Wright United States · #19,891 worldwide 494 citations · 58 works
  75. 75 Martin Vetterli Switzerland · #20,767 worldwide 2k citations · 213 works
  76. 76 Frank Stenger United States · #20,915 worldwide 497 citations · 52 works
  77. 77 Carlos E. Kenig United States · #21,218 worldwide 1k citations · 97 works
  78. 78 W. K. Hayman United Kingdom · #21,446 worldwide 377 citations · 51 works
  79. 79 Pekka Koskela Finland · #21,904 worldwide 657 citations · 63 works
  80. 80 James Serrin United States · #22,468 worldwide 970 citations · 38 works
  81. 81 Charles A. Micchelli United States · #22,539 worldwide 475 citations · 63 works
  82. 82 Patrick Flandrin France · #22,829 worldwide 981 citations · 104 works
  83. 83 Peter Borwein Canada · #23,123 worldwide 521 citations · 110 works
  84. 84 R. H. Cameron Germany · #23,363 worldwide 770 citations · 67 works
  85. 85 Richard Bellman United States · #23,506 worldwide 1.3k citations · 198 works
  86. 86 R. J. Duffin United States · #23,697 worldwide 584 citations · 52 works
  87. 87 John B. Garnett United States · #23,951 worldwide 1k citations · 37 works
  88. 88 Gitta Kutyniok Germany · #24,063 worldwide 1.2k citations · 98 works
  89. 89 Einar Hille United States · #24,295 worldwide 346 citations · 57 works
  90. 90 Paul Erdős Hungary · #24,583 worldwide 983 citations · 195 works
  91. 91 Vitali Milman Israel · #25,881 worldwide 513 citations · 44 works
  92. 92 Holger Rauhut Germany · #26,086 worldwide 658 citations · 54 works
  93. 93 Janós Kollár United States · #26,201 worldwide 1k citations · 147 works
  94. 94 Walter Rudin United States · #26,924 worldwide 558 citations · 98 works
  95. 95 Akram Aldroubi United States · #27,415 worldwide 719 citations · 55 works
  96. 96 Michaël Unser Switzerland · #27,606 worldwide 1.6k citations · 200 works
  97. 97 Michael Dumbser Italy · #28,823 worldwide 874 citations · 86 works
  98. 98 Israel Gohberg Israel · #28,951 worldwide 980 citations · 160 works
  99. 99 Chul Park United States · #29,562 worldwide 566 citations · 65 works
  100. 100 Allan Pinkus Israel · #29,791 worldwide 495 citations · 46 works

authors from the 6,000 highest-output in Applied Mathematics, 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.

Applied Mathematics by country