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519:"produces, without effort, innumerable problems which have a sweet, innocent air about them, tempting flowers; and yet... number theory swarms with bugs, waiting to bite the tempted flower-lovers who, once bitten, are inspired to excesses of effort!"
967:
374:
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over the rational numbers, is a deep and important result in the arithmetic of elliptic curves. Mazur's first proof of this theorem depended upon a complete analysis of the rational points on certain
497:. This proof was carried in his seminal paper "Modular curves and the Eisenstein ideal". The ideas of this paper and Mazur's notion of Galois deformations, were among the key ingredients in
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from 1961 to 1964. He is the
Gerhard Gade University Professor and a Senior Fellow at Harvard. He is the brother of
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407:, from where he received his PhD in mathematics in 1959 after completing a doctoral dissertation titled
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His early work was in geometric topology. In an elementary fashion, he proved the
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1998:
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399:; he did not graduate from the university on account of failing a then-present
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1959:
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494:
452:
436:
411:. Thus, his only academic degree is a PhD. He then became a Junior Fellow at
388:
348:
336:
3528:
572:
in number theory (1982), the
Chauvenet Prize for exposition (1994), and the
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20:
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Imagining numbers : (particularly the square root of minus fifteen)
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19:
This article is about the mathematician. For the music journalist, see
531:
Circles
Disturbed, a collection of essays on mathematics and narrative
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1732:
1120:
194:
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769:
752:
5608:
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1124:
489:, which gives a complete list of the possible torsion subgroups of
39:
893:
Imagining numbers: (particularly the square root of minus fifteen)
466:
were taken up by others in the 1990s giving rise to the field of
412:
403:
requirement. He was nonetheless accepted for graduate studies at
331:. His contributions to mathematics include his contributions to
1087:, a documentary about him and his family, made by Oliver Ralfe.
459:
323:; born December 19, 1937) is an American mathematician and the
1081:, from the National Science & Technology Medals Foundation
400:
306:
834:
He talks about his son about minute 24 of the documentary
312:
5635:
Members of the United States
National Academy of Sciences
396:
83:
580:. In early 2013, he was presented with one of the 2011
592:
for outstanding lifelong achievement in mathematics.
576:
for seminal contribution to research (2000) from the
501:. Mazur and Wiles had earlier worked together on the
435:(his complete proof required an additional result by
309:
5675:
Harvard
University Department of Mathematics faculty
992:
List of
Fellows of the American Mathematical Society
315:
458:His observations in the 1960s on analogies between
303:
300:
628:Collected works of John Tate : parts i and ii
1136:
1056:
515:, Mazur describes number theory as a field which
5621:
3421:Mathematical, statistical, and computer sciences
1085:Barry Mazur and the Infinite Cheese of Knowledge
836:Barry Mazur and the Infinite Cheese of Knowledge
625:
549:in 1978. In 1982 he was elected a member of the
626:Mazur, Barry; Jean-Pierre, Serre, eds. (2016).
557:in 2001, and in 2012 he became a fellow of the
5685:Institute for Advanced Study visiting scholars
4877:
447:for this achievement. He also discovered the
5720:Members of the American Philosophical Society
5410:
4863:
1106:
5725:Massachusetts Institute of Technology alumni
5690:Fellows of the American Mathematical Society
889:
850:
611:. New York, NY: Cambridge University Press.
846:
844:
753:"Q&A: The maths raconteur, Barry Mazur"
746:
744:
395:, and left after his junior year to attend
5417:
5403:
4870:
4856:
1113:
1099:
606:
523:He expanded his thoughts in the 2003 book
768:
671:
2830:
841:
741:
672:Katz, Nicholas M.; Mazur, Barry (1985).
609:Prime numbers and the Riemann hypothesis
370:
5665:The Bronx High School of Science alumni
1400:
1122:United States National Medal of Science
1068:MacTutor History of Mathematics Archive
922:American Academy of Arts & Sciences
795:The Mathematical Association of America
750:
5622:
786:
674:Arithmetic moduli of elliptic curves.
499:Wiles's proof of Fermat's Last Theorem
383:Mazur talks about his life and career.
333:Wiles's proof of Fermat's Last Theorem
5398:
4851:
3950:
3949:
3419:
2829:
2343:
1399:
1135:
1094:
1079:Video of Mazur talking about his work
1005:"3 local professors to get US honors"
817:
644:
607:Mazur, Barry; Stein, William (2016).
547:American Academy of Arts and Sciences
443:. Both Brown and Mazur received the
76:Massachusetts Institute of Technology
5700:Mathematicians from New York (state)
5650:21st-century American mathematicians
5645:20th-century American mathematicians
782:
780:
540:
5680:National Medal of Science laureates
13:
676:Annals of Mathematics Studies, 108
649:. New York: Farrar Straus Giroux.
433:generalized Schoenflies conjecture
99:Generalized Schoenflies conjecture
16:American mathematician (born 1937)
14:
5736:
1044:
777:
630:. American Mathematical Society.
503:main conjecture of Iwasawa theory
325:Gerhard Gade University Professor
296:
38:
5427:Oswald Veblen Prize in Geometry
1019:
1007:. Boston Globe. January 7, 2013
997:
985:
595:
960:
935:
910:
883:
828:
811:
679:. Princeton University Press.
588:. In 2022, he was awarded the
555:American Philosophical Society
473:Coming under the influence of
1:
2344:
1137:Behavioral and social science
994:, retrieved February 4, 2013.
818:Mazur, Barry Charles (1959).
734:
578:American Mathematical Society
559:American Mathematical Society
790:Mathematical Apocrypha Redux
551:National Academy of Sciences
393:Bronx High School of Science
7:
5670:Princeton University alumni
896:. New York: Penguin Books.
702:
553:. Mazur was elected to the
533:that he edited with writer
439:), around the same time as
10:
5741:
5715:Jewish American scientists
5710:21st-century American Jews
5705:20th-century American Jews
5439:Christos Papakyriakopoulos
4025:Subrahmanyan Chandrasekhar
787:Krantz, Steven G. (2005).
582:National Medals of Science
18:
5660:American number theorists
5433:
4886:
4787:
4636:
4485:
4306:
4112:
3960:
3956:
3945:
3879:
3781:
3670:
3581:
3502:
3430:
3426:
3415:
3372:
3281:
3173:
3064:
3000:William Hayward Pickering
2945:
2840:
2836:
2825:
2751:
2643:
2497:
2373:
2354:
2350:
2339:
2250:
2059:
1873:
1691:
1547:
1410:
1406:
1395:
1352:
1293:
1205:
1165:
1146:
1142:
1131:
853:"Number Theory as Gadfly"
545:Mazur was elected to the
481:, he moved into areas of
285:
204:
188:
178:
170:
163:
142:National Medal of Science
132:
111:Fontaine–Mazur conjecture
103:Artin–Mazur zeta function
90:
71:
49:
37:
30:
5655:Mathematics popularizers
4449:Norman Foster Ramsey Jr.
3895:S. R. Srinivasa Varadhan
1526:Burrhus Frederic Skinner
1073:University of St Andrews
1027:"Chern Medal Award 2022"
821:On embeddings of spheres
751:Hoffman, Jascha (2012).
600:
568:in geometry (1966), the
508:In an expository paper,
409:On embeddings of spheres
5122:W. B. Raymond Lickorish
3760:Cathleen Synge Morawetz
1678:George Ledyard Stebbins
1599:James Augustine Shannon
564:Mazur has received the
487:Mazur's torsion theorem
426:
366:
341:Mazur's torsion theorem
127:Mazur's torsion theorem
123:Mazur's control theorem
107:Eilenberg–Mazur swindle
4217:Joseph O. Hirschfelder
4204:Kenneth Sanborn Pitzer
3160:Harry George Drickamer
3106:Hans Wolfgang Liepmann
2780:M. Frederick Hawthorne
2654:John D. Baldeschwieler
1894:Daniel E. Koshland Jr.
1576:Earl W. Sutherland Jr.
521:
475:Alexander Grothendieck
384:
5591:Fernando Codá Marques
5050:Shreeram S. Abhyankar
4808:Sylvester James Gates
4194:William Alfred Fowler
4176:Robert Rathbun Wilson
3989:Robert Burns Woodward
2801:Geraldine L. Richmond
2549:Howard E. Simmons Jr.
1832:Rosalyn Sussman Yalow
1761:Vernon B. Mountcastle
1617:Sterling B. Hendricks
1434:Marshall W. Nirenberg
1429:Theodosius Dobzhansky
1277:William Julius Wilson
918:"Barry Charles Mazur"
890:Mazur, Barry (2004).
851:Mazur, Barry (1991).
645:Mazur, Barry (2003).
517:
391:, Mazur attended the
382:
361:differential topology
5695:American topologists
5292:David Shea Vela-Vick
5075:1983 No award given.
5072:1982 No award given.
4779:Warren M. Washington
4743:Fay Ajzenberg-Selove
4652:Jeremiah P. Ostriker
4597:Martin Schwarzschild
4378:Solomon J. Buchsbaum
4370:J. Robert Schrieffer
4340:E. Margaret Burbidge
4184:Nicolaas Bloembergen
4161:Arie Jan Haagen-Smit
4040:Vladimir K. Zworykin
3792:John Griggs Thompson
3715:Martin David Kruskal
3555:Kurt Otto Friedrichs
3028:Erwin Wilhelm Müller
2982:Ralph Brazelton Peck
2937:Jack St. Clair Kilby
2864:John Robinson Pierce
2831:Engineering sciences
2762:Jacqueline K. Barton
2617:George M. Whitesides
2536:Dudley R. Herschbach
2474:Richard B. Bernstein
2443:Walter H. Stockmayer
1991:Elizabeth F. Neufeld
1922:G. Evelyn Hutchinson
1812:Stanley Norman Cohen
1799:Rita Levi-Montalcini
1635:Keith Roberts Porter
1498:Alfred H. Sturtevant
1493:Michael Heidelberger
1465:Fritz Albert Lipmann
1059:Robertson, Edmund F.
1053:, Harvard University
972:search.amphilsoc.org
968:"APS Member History"
483:diophantine geometry
405:Princeton University
119:Mazur's Conjecture B
95:Diophantine geometry
80:Princeton University
5519:Richard S. Hamilton
5485:James Harris Simons
5344:Vladimir Pozdnyakov
5142:Jonathan M. Borwein
5116:David Allen Hoffman
4829:Shirley Ann Jackson
4748:Charles P. Slichter
4592:Marshall Rosenbluth
4584:Wallace S. Broecker
4537:Eugene M. Shoemaker
4298:Victor F. Weisskopf
4245:Herbert S. Gutowsky
4227:Edgar Bright Wilson
4068:George Kistiakowsky
3686:Stephen Cole Kleene
3197:George H. Heilmeier
3184:Mildred Dresselhaus
3075:Edward H. Heinemann
3005:Frederick E. Terman
2969:Richard T. Whitcomb
2890:Clarence L. Johnson
2851:Theodore von Kármán
2738:Stephen J. Benkovic
2717:Mostafa A. El-Sayed
2704:Marvin H. Caruthers
2659:Ralph F. Hirschmann
2599:Darleane C. Hoffman
2489:Harden M. McConnell
2430:Frank H. Westheimer
2242:Stanley B. Prusiner
2206:Robert J. Lefkowitz
1965:Howard Martin Temin
1822:Maurice R. Hilleman
1817:Joseph L. Goldstein
1756:Donald A. Henderson
1673:Earl Reece Stadtman
1658:Elizabeth C. Crosby
1622:Orville Alvin Vogel
1452:Donald D. Van Slyke
1401:Biological sciences
1057:O'Connor, John J.;
857:Amer. Math. Monthly
468:arithmetic topology
345:arithmetic geometry
292:Barry Charles Mazur
66:New York City, U.S.
32:Barry Charles Mazur
5537:Michael J. Hopkins
5425:Recipients of the
5332:Daniel J. Velleman
5126:Kenneth C. Millett
5098:James H. Wilkinson
4701:G. Brent Dalrymple
4519:Arthur L. Schawlow
4426:James A. Van Allen
4317:Philip W. Anderson
4273:Richard P. Feynman
4199:Linus Carl Pauling
3834:Dennis P. Sullivan
3391:John B. Goodenough
3324:Edwin N. Lightfoot
3292:Yuan-Cheng B. Fung
3273:Kenneth N. Stevens
3041:Raymond D. Mindlin
2964:Harold E. Edgerton
2809:A. Paul Alivisatos
2688:Stephen J. Lippard
2667:Ernest R. Davidson
2604:Harold S. Johnston
2438:William S. Johnson
2402:George C. Pimentel
2237:Susan L. Lindquist
2219:Francis S. Collins
2113:Victor A. McKusick
2088:Francisco J. Ayala
2070:Nancy C. Andreasen
2020:Robert A. Weinberg
1794:Har Gobind Khorana
1779:Michael E. DeBakey
1766:George Emil Palade
1738:Wendell L. Roelofs
1728:Howard L. Bachrach
1558:Barbara McClintock
1460:Edward F. Knipling
535:Apostolos Doxiadis
479:algebraic geometry
421:Alexander J. Mazur
419:and the father of
413:Harvard University
385:
353:geometric topology
329:Harvard University
232:Fernando Q. Gouvêa
183:Harvard University
5617:
5616:
5571:William Minicozzi
5392:
5391:
5348:J. Michael Steele
5316:Susan H. Marshall
5288:Daniel Pomerleano
5268:Brian J. McCartin
5250:Andrew J. Simoson
5244:Günter M. Ziegler
5198:Carolyn S. Gordon
5080:R. Arthur Knoebel
5056:Neil J. A. Sloane
5044:W. Gilbert Strang
4998:Shiing-Shen Chern
4980:Joseph P. LaSalle
4958:Cornelius Lanczos
4922:Saunders Mac Lane
4898:T. H. Hildebrandt
4845:
4844:
4841:
4840:
4837:
4836:
4774:Esther M. Conwell
4714:Robert N. Clayton
4706:Riccardo Giacconi
4670:Raymond Davis Jr.
4558:Albert Overhauser
4501:Edwin M. McMillan
4462:Arnold O. Beckman
4439:Paul Ching-Wu Chu
4416:Paul C. Lauterbur
4393:Robert Hofstadter
4345:Maurice Goldhaber
4332:Charles H. Townes
4283:Edward M. Purcell
4250:Frederick Rossini
4104:Wolfgang Panofsky
4035:John H. Van Vleck
3951:Physical sciences
3941:
3940:
3937:
3936:
3903:Solomon W. Golomb
3863:Andrew J. Viterbi
3858:Leonard Kleinrock
3805:Calyampudi R. Rao
3773:Ronald R. Coifman
3681:George F. Carrier
3662:Donald C. Spencer
3657:Saunders Mac Lane
3592:Marshall H. Stone
3542:Shiing-Shen Chern
3449:Solomon Lefschetz
3411:
3410:
3407:
3406:
3348:David J. Wineland
3316:John M. Prausnitz
3257:C. Kumar N. Patel
3252:James L. Flanagan
3220:John Roy Whinnery
3207:H. Guyford Stever
3189:Nick Holonyak Jr.
3152:George W. Housner
3147:Willis M. Hawkins
3142:Daniel C. Drucker
3124:Robert Byron Bird
3116:Bernard M. Oliver
3023:Peter C. Goldmark
3010:Wernher von Braun
2956:George E. Mueller
2929:Nathan M. Newmark
2924:J. Presper Eckert
2903:Claude E. Shannon
2872:Charles S. Draper
2821:
2820:
2817:
2816:
2788:Judith P. Klinman
2672:Gábor A. Somorjai
2583:Isabella L. Karle
2570:George S. Hammond
2531:Gertrude B. Elion
2484:Rudolph A. Marcus
2335:
2334:
2331:
2330:
2261:Ralph L. Brinster
2180:Torsten N. Wiesel
2157:Norman E. Borlaug
2144:Solomon H. Snyder
2139:J. Michael Bishop
2098:Mario R. Capecchi
1978:Salome G. Waelsch
1909:E. Donnall Thomas
1784:Theodor O. Diener
1683:Paul Alfred Weiss
1511:Bernard B. Brodie
1447:George G. Simpson
1391:
1390:
1387:
1386:
1336:Michael I. Posner
1237:Eleanor J. Gibson
1189:George J. Stigler
1157:Neal Elgar Miller
947:www.nasonline.org
729:Tate vector space
637:978-0-8218-9091-2
618:978-1-107-49943-0
541:Awards and honors
526:Imagining Numbers
510:Number Theory as
380:
289:
288:
257:Michael McQuillan
205:Doctoral students
165:Scientific career
60:December 19, 1937
5732:
5549:Peter Kronheimer
5533:Yakov Eliashberg
5503:Michael Freedman
5479:William Thurston
5419:
5412:
5405:
5396:
5395:
5368:Matthew Crawford
5256:Andrew Granville
5228:Edward B. Burger
5186:Michael I. Rosen
5146:Peter B. Borwein
5132:Steven G. Krantz
5068:Kenneth I. Gross
5038:Lawrence Zalcman
4952:Richard H. Bruck
4872:
4865:
4858:
4849:
4848:
4657:Gilbert F. White
4602:George Wetherill
4496:Allan M. Cormack
4454:Jack Steinberger
4434:D. Allan Bromley
4383:H. Richard Crane
4360:Frederick Reines
4350:Helmut Landsberg
4265:George Uhlenbeck
4166:Vladimir Haensel
4128:Allan R. Sandage
4099:Herbert C. Brown
4081:Herbert Friedman
4007:Leon M. Lederman
3979:Julian Schwinger
3958:
3957:
3947:
3946:
3916:Alexandre Chorin
3890:Richard A. Tapia
3871:David B. Mumford
3699:Alberto Calderón
3644:Joseph B. Keller
3631:Michael Freedman
3600:Herman Goldstine
3454:H. Marston Morse
3428:
3427:
3417:
3416:
3356:Rudolf E. Kálmán
3340:Robert S. Langer
3332:Jan D. Achenbach
3165:Herbert E. Grier
2916:Igor I. Sikorsky
2877:Othmar H. Ammann
2838:
2837:
2827:
2826:
2793:Jerrold Meinwald
2562:Norman Hackerman
2541:Glenn T. Seaborg
2456:William O. Baker
2384:F. Albert Cotton
2352:
2351:
2341:
2340:
2318:Mary-Claire King
2211:Bert W. O'Malley
2167:Thomas E. Starzl
2162:Phillip A. Sharp
2149:Charles Yanofsky
2131:Evelyn M. Witkin
2126:James E. Darnell
1952:Paul C. Zamecnik
1917:Mary Ellen Avery
1889:Herbert W. Boyer
1884:Baruj Benacerraf
1855:Joshua Lederberg
1845:Viktor Hamburger
1807:Michael S. Brown
1653:Robert H. Burris
1408:
1407:
1397:
1396:
1344:Mortimer Mishkin
1269:William K. Estes
1253:Roger N. Shepard
1245:Robert K. Merton
1229:George A. Miller
1176:Herbert A. Simon
1144:
1143:
1133:
1132:
1115:
1108:
1101:
1092:
1091:
1075:
1038:
1037:
1035:
1033:
1023:
1017:
1016:
1014:
1012:
1001:
995:
989:
983:
982:
980:
978:
964:
958:
957:
955:
953:
943:"Barry C. Mazur"
939:
933:
932:
930:
928:
914:
908:
907:
887:
881:
880:
848:
839:
832:
826:
825:
815:
809:
808:
784:
775:
774:
772:
748:
714:Eisenstein ideal
698:
668:
641:
622:
381:
322:
321:
318:
317:
314:
311:
308:
305:
302:
272:Glenn H. Stevens
262:Victor S. Miller
242:Naomi Jochnowitz
222:Jordan Ellenberg
190:Doctoral advisor
63:
59:
57:
42:
28:
27:
5740:
5739:
5735:
5734:
5733:
5731:
5730:
5729:
5620:
5619:
5618:
5613:
5605:Simon Donaldson
5513:Clifford Taubes
5473:Dennis Sullivan
5429:
5423:
5393:
5388:
5384:Jeffrey Whitmer
5354:Travis Kowalski
5320:Donald R. Smith
5240:Florian Pfender
5222:Thomas C. Hales
5158:Donald G. Saari
5138:David H. Bailey
5010:François Trèves
5004:Norman Levinson
4964:Philip J. Davis
4882:
4879:Chauvenet Prize
4876:
4846:
4833:
4821:Sean C. Solomon
4783:
4735:Daniel Kleppner
4727:Lonnie Thompson
4722:Ralph A. Alpher
4688:W. Jason Morgan
4675:Charles Keeling
4665:Marvin L. Cohen
4632:
4615:John N. Bahcall
4610:Don L. Anderson
4576:Peter Goldreich
4529:Steven Weinberg
4481:
4411:Walter Elsasser
4388:Herman Feshbach
4302:
4240:Samuel Goudsmit
4232:Chien-Shiung Wu
4171:Frederick Seitz
4138:John A. Wheeler
4123:Robert H. Dicke
4108:
3971:Luis W. Alvarez
3952:
3933:
3921:David Blackwell
3875:
3826:Carl R. de Boor
3797:Karen Uhlenbeck
3777:
3731:Louis Nirenberg
3666:
3639:Ralph E. Gomory
3577:
3573:Donald E. Knuth
3560:Hassler Whitney
3498:
3422:
3403:
3368:
3300:Andreas Acrivos
3277:
3265:Eli Ruckenstein
3244:Hermann A. Haus
3215:Calvin F. Quate
3202:Luna B. Leopold
3169:
3060:
3046:Robert N. Noyce
3036:Emmett N. Leith
2995:Manson Benedict
2977:Rudolf Kompfner
2941:
2895:Warren K. Lewis
2832:
2813:
2747:
2709:Peter B. Dervan
2680:John I. Brauman
2639:
2591:Norman Davidson
2518:John D. Roberts
2493:
2461:Konrad E. Bloch
2407:Richard N. Zare
2369:
2346:
2327:
2284:Sallie Chisholm
2266:Rudolf Jaenisch
2246:
2229:J. Craig Venter
2188:Rita R. Colwell
2055:
2041:David Baltimore
1932:Robert W. Kates
1904:David G. Nathan
1899:Edward B. Lewis
1869:
1865:Harland G. Wood
1860:Roger W. Sperry
1715:Glenn W. Burton
1687:
1663:Arthur Kornberg
1630:Roger Guillemin
1607:Hallowell Davis
1571:Daniel I. Arnon
1563:Albert B. Sabin
1543:
1516:Detlev W. Bronk
1488:Harry F. Harlow
1483:Kenneth S. Cole
1470:William C. Rose
1442:Francis P. Rous
1402:
1383:
1348:
1328:Gordon H. Bower
1289:
1285:Robert M. Solow
1201:
1197:Milton Friedman
1161:
1138:
1127:
1119:
1047:
1042:
1041:
1031:
1029:
1025:
1024:
1020:
1010:
1008:
1003:
1002:
998:
990:
986:
976:
974:
966:
965:
961:
951:
949:
941:
940:
936:
926:
924:
916:
915:
911:
904:
888:
884:
869:10.2307/2324924
849:
842:
833:
829:
816:
812:
805:
785:
778:
770:10.1038/483405a
749:
742:
737:
705:
687:
657:
638:
619:
603:
598:
543:
491:elliptic curves
477:'s approach to
429:
371:
369:
299:
295:
281:
197:
155:
150:
147:Chauvenet Prize
145:
140:
125:
121:
117:
113:
109:
105:
101:
97:
78:
72:Alma mater
67:
64:
61:
55:
53:
45:
33:
24:
17:
12:
11:
5:
5738:
5728:
5727:
5722:
5717:
5712:
5707:
5702:
5697:
5692:
5687:
5682:
5677:
5672:
5667:
5662:
5657:
5652:
5647:
5642:
5637:
5632:
5615:
5614:
5612:
5611:
5597:
5587:
5577:
5567:Tobias Colding
5563:
5545:
5539:
5525:
5515:
5505:
5499:
5497:Shing-Tung Yau
5493:
5491:Mikhail Gromov
5487:
5481:
5475:
5469:
5463:
5453:
5447:
5441:
5434:
5431:
5430:
5422:
5421:
5414:
5407:
5399:
5390:
5389:
5387:
5386:
5380:
5378:Jonas Eliasson
5374:Kimmo Eriksson
5370:
5360:William Dunham
5356:
5350:
5340:
5334:
5328:
5326:Mark Schilling
5322:
5312:
5310:Dana Mackenzie
5306:
5300:
5294:
5280:Dennis DeTurck
5276:
5270:
5264:
5262:Harold P. Boas
5258:
5252:
5246:
5236:
5234:John Stillwell
5230:
5224:
5218:
5204:
5194:
5188:
5182:
5172:
5166:
5160:
5154:
5148:
5134:
5128:
5118:
5112:
5110:Jacob Korevaar
5106:
5100:
5094:
5088:
5086:Carl Pomerance
5082:
5076:
5073:
5070:
5064:
5058:
5052:
5046:
5040:
5034:
5024:
5018:
5012:
5006:
5000:
4994:
4988:
4982:
4972:
4966:
4960:
4954:
4948:
4942:
4936:
4930:
4924:
4918:
4912:
4910:Dunham Jackson
4906:
4900:
4894:
4887:
4884:
4883:
4875:
4874:
4867:
4860:
4852:
4843:
4842:
4839:
4838:
4835:
4834:
4832:
4831:
4826:
4823:
4818:
4816:Burton Richter
4813:
4810:
4805:
4800:
4795:
4791:
4789:
4785:
4784:
4782:
4781:
4776:
4771:
4769:Yakir Aharonov
4766:
4763:
4758:
4753:
4750:
4745:
4740:
4737:
4732:
4729:
4724:
4719:
4716:
4711:
4708:
4703:
4698:
4695:
4690:
4685:
4683:Richard Garwin
4680:
4677:
4672:
4667:
4662:
4659:
4654:
4649:
4647:Willis E. Lamb
4644:
4640:
4638:
4634:
4633:
4631:
4630:
4625:
4620:
4617:
4612:
4607:
4604:
4599:
4594:
4589:
4586:
4581:
4578:
4573:
4568:
4565:
4560:
4555:
4552:
4547:
4542:
4539:
4534:
4531:
4526:
4521:
4516:
4513:
4508:
4503:
4498:
4493:
4489:
4487:
4483:
4482:
4480:
4479:
4474:
4469:
4464:
4459:
4456:
4451:
4446:
4441:
4436:
4431:
4428:
4423:
4418:
4413:
4408:
4406:Philip Abelson
4403:
4400:
4398:Chen-Ning Yang
4395:
4390:
4385:
4380:
4375:
4372:
4367:
4365:Bruno B. Rossi
4362:
4357:
4352:
4347:
4342:
4337:
4334:
4329:
4324:
4322:Yoichiro Nambu
4319:
4314:
4310:
4308:
4304:
4303:
4301:
4300:
4295:
4290:
4285:
4280:
4275:
4270:
4267:
4262:
4257:
4252:
4247:
4242:
4237:
4234:
4229:
4224:
4219:
4214:
4209:
4206:
4201:
4196:
4191:
4186:
4181:
4178:
4173:
4168:
4163:
4158:
4153:
4148:
4145:
4140:
4135:
4133:John C. Slater
4130:
4125:
4120:
4116:
4114:
4110:
4109:
4107:
4106:
4101:
4096:
4093:
4088:
4083:
4078:
4073:
4070:
4065:
4060:
4055:
4050:
4045:
4042:
4037:
4032:
4027:
4022:
4020:Jacob Bjerknes
4017:
4014:
4009:
4004:
3999:
3994:
3991:
3986:
3981:
3976:
3973:
3968:
3964:
3962:
3954:
3953:
3943:
3942:
3939:
3938:
3935:
3934:
3932:
3931:
3926:
3923:
3918:
3913:
3910:
3905:
3900:
3897:
3892:
3887:
3883:
3881:
3877:
3876:
3874:
3873:
3868:
3865:
3860:
3855:
3852:
3847:
3844:
3839:
3836:
3831:
3828:
3823:
3820:
3818:James G. Glimm
3815:
3812:
3810:Elias M. Stein
3807:
3802:
3799:
3794:
3789:
3785:
3783:
3779:
3778:
3776:
3775:
3770:
3765:
3762:
3757:
3754:
3752:Shing-Tung Yau
3749:
3746:
3741:
3736:
3733:
3728:
3725:
3720:
3717:
3712:
3709:
3704:
3701:
3696:
3693:
3688:
3683:
3678:
3674:
3672:
3668:
3667:
3665:
3664:
3659:
3654:
3649:
3646:
3641:
3636:
3633:
3628:
3623:
3620:
3618:Antoni Zygmund
3615:
3610:
3607:
3605:Isadore Singer
3602:
3597:
3594:
3589:
3585:
3583:
3579:
3578:
3576:
3575:
3570:
3568:Joseph L. Doob
3565:
3562:
3557:
3552:
3549:
3547:George Dantzig
3544:
3539:
3537:John W. Backus
3534:
3531:
3526:
3523:
3518:
3515:
3513:Richard Brauer
3510:
3506:
3504:
3500:
3499:
3497:
3496:
3494:William Feller
3491:
3488:
3483:
3480:
3475:
3472:
3467:
3464:
3459:
3456:
3451:
3446:
3443:
3441:Norbert Wiener
3438:
3434:
3432:
3424:
3423:
3413:
3412:
3409:
3408:
3405:
3404:
3402:
3401:
3399:Thomas Kailath
3396:
3393:
3388:
3385:
3380:
3376:
3374:
3370:
3369:
3367:
3366:
3361:
3358:
3353:
3350:
3345:
3342:
3337:
3334:
3329:
3326:
3321:
3318:
3313:
3310:
3305:
3302:
3297:
3294:
3289:
3285:
3283:
3279:
3278:
3276:
3275:
3270:
3267:
3262:
3259:
3254:
3249:
3246:
3241:
3238:
3233:
3230:
3225:
3222:
3217:
3212:
3209:
3204:
3199:
3194:
3191:
3186:
3181:
3177:
3175:
3171:
3170:
3168:
3167:
3162:
3157:
3154:
3149:
3144:
3139:
3136:
3131:
3129:H. Bolton Seed
3126:
3121:
3118:
3113:
3108:
3103:
3100:
3095:
3090:
3085:
3082:
3080:Donald L. Katz
3077:
3072:
3068:
3066:
3062:
3061:
3059:
3058:
3053:
3051:Earl R. Parker
3048:
3043:
3038:
3033:
3030:
3025:
3020:
3015:
3012:
3007:
3002:
2997:
2992:
2989:
2984:
2979:
2974:
2971:
2966:
2961:
2958:
2953:
2949:
2947:
2943:
2942:
2940:
2939:
2934:
2931:
2926:
2921:
2918:
2913:
2908:
2905:
2900:
2897:
2892:
2887:
2885:Hugh L. Dryden
2882:
2879:
2874:
2869:
2866:
2861:
2856:
2853:
2848:
2844:
2842:
2834:
2833:
2823:
2822:
2819:
2818:
2815:
2814:
2812:
2811:
2806:
2803:
2798:
2795:
2790:
2785:
2782:
2777:
2772:
2769:
2767:Peter J. Stang
2764:
2759:
2755:
2753:
2749:
2748:
2746:
2745:
2743:Marye Anne Fox
2740:
2735:
2732:
2727:
2722:
2719:
2714:
2711:
2706:
2701:
2698:
2696:Tobin J. Marks
2693:
2690:
2685:
2682:
2677:
2674:
2669:
2664:
2661:
2656:
2651:
2647:
2645:
2641:
2640:
2638:
2637:
2632:
2627:
2625:Stuart A. Rice
2622:
2619:
2614:
2609:
2606:
2601:
2596:
2593:
2588:
2585:
2580:
2575:
2572:
2567:
2564:
2559:
2557:Donald J. Cram
2554:
2551:
2546:
2543:
2538:
2533:
2528:
2526:Ronald Breslow
2523:
2520:
2515:
2510:
2505:
2501:
2499:
2495:
2494:
2492:
2491:
2486:
2481:
2476:
2471:
2468:
2466:Elias J. Corey
2463:
2458:
2453:
2450:
2445:
2440:
2435:
2432:
2427:
2425:Carl S. Marvel
2422:
2417:
2412:
2409:
2404:
2399:
2397:Roald Hoffmann
2394:
2391:
2386:
2381:
2377:
2375:
2371:
2370:
2368:
2367:
2362:
2358:
2356:
2348:
2347:
2337:
2336:
2333:
2332:
2329:
2328:
2326:
2325:
2320:
2315:
2313:Stanley Falkow
2310:
2307:
2305:Rakesh K. Jain
2302:
2299:
2294:
2289:
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2281:
2276:
2271:
2268:
2263:
2258:
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2247:
2245:
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2239:
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2231:
2226:
2221:
2216:
2213:
2208:
2203:
2200:
2195:
2190:
2185:
2182:
2177:
2172:
2169:
2164:
2159:
2154:
2151:
2146:
2141:
2136:
2133:
2128:
2123:
2120:
2115:
2110:
2108:Gene E. Likens
2105:
2100:
2095:
2093:George F. Bass
2090:
2085:
2082:
2077:
2075:Peter H. Raven
2072:
2067:
2063:
2061:
2057:
2056:
2054:
2053:
2048:
2043:
2038:
2035:
2030:
2025:
2022:
2017:
2012:
2009:
2004:
2001:
1999:Alexander Rich
1996:
1993:
1988:
1983:
1980:
1975:
1973:Daniel Nathans
1970:
1967:
1962:
1957:
1954:
1949:
1947:Folke K. Skoog
1944:
1939:
1937:Salvador Luria
1934:
1929:
1927:Elvin A. Kabat
1924:
1919:
1914:
1911:
1906:
1901:
1896:
1891:
1886:
1881:
1877:
1875:
1871:
1870:
1868:
1867:
1862:
1857:
1852:
1847:
1842:
1840:Katherine Esau
1837:
1834:
1829:
1827:Eric R. Kandel
1824:
1819:
1814:
1809:
1804:
1801:
1796:
1791:
1786:
1781:
1776:
1773:
1771:Joan A. Steitz
1768:
1763:
1758:
1753:
1748:
1745:
1743:Berta Scharrer
1740:
1735:
1730:
1725:
1722:
1717:
1712:
1710:Seymour Benzer
1707:
1704:
1702:Philip Handler
1699:
1695:
1693:
1689:
1688:
1686:
1685:
1680:
1675:
1670:
1665:
1660:
1655:
1650:
1647:
1642:
1637:
1632:
1627:
1624:
1619:
1614:
1609:
1604:
1601:
1596:
1591:
1589:Erwin Chargaff
1586:
1584:Britton Chance
1581:
1578:
1573:
1568:
1565:
1560:
1555:
1551:
1549:
1545:
1544:
1542:
1541:
1536:
1534:Robert Huebner
1531:
1528:
1523:
1518:
1513:
1508:
1503:
1500:
1495:
1490:
1485:
1480:
1477:
1472:
1467:
1462:
1457:
1454:
1449:
1444:
1439:
1436:
1431:
1426:
1423:
1421:C. B. van Niel
1418:
1414:
1412:
1404:
1403:
1393:
1392:
1389:
1388:
1385:
1384:
1382:
1381:
1379:Albert Bandura
1376:
1373:
1371:Robert Axelrod
1368:
1365:
1360:
1356:
1354:
1350:
1349:
1347:
1346:
1341:
1338:
1333:
1330:
1325:
1322:
1317:
1314:
1312:R. Duncan Luce
1309:
1306:
1301:
1297:
1295:
1291:
1290:
1288:
1287:
1282:
1279:
1274:
1271:
1266:
1263:
1261:Paul Samuelson
1258:
1255:
1250:
1247:
1242:
1239:
1234:
1231:
1226:
1223:
1221:Patrick Suppes
1218:
1216:Leonid Hurwicz
1213:
1209:
1207:
1203:
1202:
1200:
1199:
1194:
1191:
1186:
1181:
1178:
1173:
1169:
1167:
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1154:
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1140:
1139:
1129:
1128:
1118:
1117:
1110:
1103:
1095:
1089:
1088:
1082:
1076:
1054:
1046:
1045:External links
1043:
1040:
1039:
1018:
996:
984:
959:
934:
909:
902:
882:
863:(7): 593–610.
840:
827:
810:
803:
797:. p. 38.
776:
739:
738:
736:
733:
732:
731:
726:
721:
719:Iwasawa theory
716:
711:
704:
701:
700:
699:
685:
669:
655:
642:
636:
623:
617:
602:
599:
597:
594:
542:
539:
495:modular curves
449:Mazur manifold
428:
425:
368:
365:
357:Mazur manifold
287:
286:
283:
282:
280:
279:
274:
269:
264:
259:
254:
249:
244:
239:
237:Michael Harris
234:
229:
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219:
214:
208:
206:
202:
201:
192:
186:
185:
180:
176:
175:
172:
168:
167:
161:
160:
134:
130:
129:
115:Mazur manifold
92:
91:Known for
88:
87:
73:
69:
68:
65:
51:
47:
46:
43:
35:
34:
31:
15:
9:
6:
4:
3:
2:
5737:
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5708:
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5643:
5641:
5640:Living people
5638:
5636:
5633:
5631:
5628:
5627:
5625:
5610:
5606:
5602:
5601:Xiuxiong Chen
5598:
5596:
5592:
5588:
5586:
5582:
5578:
5576:
5572:
5568:
5564:
5562:
5558:
5557:Peter Ozsváth
5554:
5553:Tomasz Mrowka
5550:
5546:
5544:
5540:
5538:
5534:
5530:
5526:
5524:
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5516:
5514:
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5509:Andrew Casson
5506:
5504:
5500:
5498:
5494:
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5488:
5486:
5482:
5480:
5476:
5474:
5470:
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5464:
5462:
5458:
5454:
5452:
5451:Stephen Smale
5448:
5446:
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5408:
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5333:
5329:
5327:
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5321:
5317:
5313:
5311:
5307:
5305:
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5299:
5298:Robert Ghrist
5295:
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5225:
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5213:
5209:
5208:Ellen Gethner
5205:
5203:
5202:David L. Webb
5199:
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5187:
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5177:
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5149:
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5139:
5135:
5133:
5129:
5127:
5123:
5119:
5117:
5113:
5111:
5107:
5105:
5104:Stephen Smale
5101:
5099:
5095:
5093:
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5087:
5083:
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4955:
4953:
4949:
4947:
4946:E. J. McShane
4943:
4941:
4937:
4935:
4931:
4929:
4928:R. H. Cameron
4925:
4923:
4919:
4917:
4916:G. T. Whyburn
4913:
4911:
4907:
4905:
4901:
4899:
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4792:
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4780:
4777:
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4772:
4770:
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4764:
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4761:James E. Gunn
4759:
4757:
4754:
4751:
4749:
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4741:
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4736:
4733:
4730:
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4725:
4723:
4720:
4717:
4715:
4712:
4709:
4707:
4704:
4702:
4699:
4696:
4694:
4693:Edward Witten
4691:
4689:
4686:
4684:
4681:
4678:
4676:
4673:
4671:
4668:
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4663:
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4527:
4525:
4522:
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4517:
4514:
4512:
4511:Roger Revelle
4509:
4507:
4504:
4502:
4499:
4497:
4494:
4491:
4490:
4488:
4484:
4478:
4477:Henry Stommel
4475:
4473:
4470:
4468:
4467:Eugene Parker
4465:
4463:
4460:
4457:
4455:
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4335:
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4328:
4327:Edward Teller
4325:
4323:
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4312:
4311:
4309:
4305:
4299:
4296:
4294:
4293:Lyman Spitzer
4291:
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4281:
4279:
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4271:
4268:
4266:
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4241:
4238:
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4233:
4230:
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4225:
4223:
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4213:
4212:Hans A. Bethe
4210:
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4185:
4182:
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4169:
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4164:
4162:
4159:
4157:
4156:Maurice Ewing
4154:
4152:
4151:Carl Djerassi
4149:
4146:
4144:
4143:Saul Winstein
4141:
4139:
4136:
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4117:
4115:
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4100:
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4091:Eugene Wigner
4089:
4087:
4084:
4082:
4079:
4077:
4076:Paul Bartlett
4074:
4071:
4069:
4066:
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4063:Louis Hammett
4061:
4059:
4058:Gregory Breit
4056:
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4053:Francis Birch
4051:
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4041:
4038:
4036:
4033:
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4028:
4026:
4023:
4021:
4018:
4015:
4013:
4012:William Rubey
4010:
4008:
4005:
4003:
4000:
3998:
3995:
3992:
3990:
3987:
3985:
3982:
3980:
3977:
3974:
3972:
3969:
3966:
3965:
3963:
3959:
3955:
3948:
3944:
3930:
3929:Michael Artin
3927:
3924:
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3914:
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3869:
3866:
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3842:Bradley Efron
3840:
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3827:
3824:
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3811:
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3800:
3798:
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3768:Felix Browder
3766:
3763:
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3758:
3755:
3753:
3750:
3747:
3745:
3744:Stephen Smale
3742:
3740:
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3726:
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3721:
3718:
3716:
3713:
3710:
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3702:
3700:
3697:
3694:
3692:
3691:John McCarthy
3689:
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3684:
3682:
3679:
3676:
3675:
3673:
3669:
3663:
3660:
3658:
3655:
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3652:Samuel Karlin
3650:
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3473:
3471:
3468:
3465:
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3462:Oscar Zariski
3460:
3457:
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3236:Ray W. Clough
3234:
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3228:Alfred Y. Cho
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3098:John G. Trump
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2911:Edwin H. Land
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2859:Vannevar Bush
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2775:Allen J. Bard
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2730:JoAnne Stubbe
2728:
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2725:Joanna Fowler
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2479:Melvin Calvin
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2420:Yuan Tseh Lee
2418:
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2415:Harry B. Gray
2413:
2410:
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2389:Gilbert Stork
2387:
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2297:Bruce Alberts
2295:
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2292:May Berenbaum
2290:
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2209:
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2198:Lubert Stryer
2196:
2194:
2193:Nina Fedoroff
2191:
2189:
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2183:
2181:
2178:
2176:
2175:Anthony Fauci
2173:
2170:
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2147:
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2119:
2118:Harold Varmus
2116:
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2052:
2051:Lynn Margulis
2049:
2047:
2046:Jared Diamond
2044:
2042:
2039:
2036:
2034:
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2029:
2026:
2023:
2021:
2018:
2016:
2013:
2010:
2008:
2005:
2002:
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1997:
1994:
1992:
1989:
1987:
1986:Thomas Eisner
1984:
1981:
1979:
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1971:
1968:
1966:
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1961:
1960:Maxine Singer
1958:
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1948:
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1942:Paul A. Marks
1940:
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1751:Stanley Cohen
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1640:Efraim Racker
1638:
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1600:
1597:
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1594:James V. Neel
1592:
1590:
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1519:
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1514:
1512:
1509:
1507:
1506:Horace Barker
1504:
1501:
1499:
1496:
1494:
1491:
1489:
1486:
1484:
1481:
1478:
1476:
1475:Sewall Wright
1473:
1471:
1468:
1466:
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1458:
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1405:
1398:
1394:
1380:
1377:
1374:
1372:
1369:
1366:
1364:
1363:Anne Treisman
1361:
1358:
1357:
1355:
1351:
1345:
1342:
1339:
1337:
1334:
1331:
1329:
1326:
1323:
1321:
1320:Kenneth Arrow
1318:
1315:
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1310:
1307:
1305:
1302:
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1286:
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1217:
1214:
1211:
1210:
1208:
1204:
1198:
1195:
1192:
1190:
1187:
1185:
1184:Anne Anastasi
1182:
1179:
1177:
1174:
1171:
1170:
1168:
1164:
1158:
1155:
1152:
1151:
1149:
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1134:
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1126:
1123:
1116:
1111:
1109:
1104:
1102:
1097:
1096:
1093:
1086:
1083:
1080:
1077:
1074:
1070:
1069:
1064:
1063:"Barry Mazur"
1060:
1055:
1052:
1049:
1048:
1028:
1022:
1006:
1000:
993:
988:
973:
969:
963:
948:
944:
938:
923:
919:
913:
905:
903:0-14-100887-3
899:
895:
894:
886:
878:
874:
870:
866:
862:
858:
854:
847:
845:
837:
831:
823:
822:
814:
806:
804:0-88385-554-2
800:
796:
792:
791:
783:
781:
771:
766:
763:(7390): 405.
762:
758:
754:
747:
745:
740:
730:
727:
725:
722:
720:
717:
715:
712:
710:
707:
706:
696:
692:
688:
686:0-691-08349-5
682:
678:
675:
670:
666:
662:
658:
656:0-312-42187-7
652:
648:
643:
639:
633:
629:
624:
620:
614:
610:
605:
604:
593:
591:
587:
584:by President
583:
579:
575:
571:
567:
562:
560:
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548:
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536:
532:
528:
527:
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506:
504:
500:
496:
492:
488:
484:
480:
476:
471:
469:
465:
461:
456:
454:
453:Mazur swindle
450:
446:
442:
438:
437:Marston Morse
434:
424:
422:
418:
414:
410:
406:
402:
398:
394:
390:
389:New York City
364:
362:
358:
354:
350:
349:Mazur swindle
346:
342:
338:
337:number theory
334:
330:
326:
320:
293:
284:
278:
275:
273:
270:
268:
265:
263:
260:
258:
255:
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124:
120:
116:
112:
108:
104:
100:
96:
93:
89:
85:
81:
77:
74:
70:
62:(age 86)
52:
48:
44:Mazur in 1992
41:
36:
29:
26:
22:
5561:Zoltán Szabó
5529:Jeff Cheeger
5467:Robion Kirby
5460:
5457:Morton Brown
5338:Tom Leinster
5284:Herman Gluck
5274:Bjorn Poonen
5180:Eric Kostlan
5176:Alan Edelman
5151:
5032:Reuben Hersh
5028:Martin Davis
5022:Peter D. Lax
5016:Carl D. Olds
4976:Jack K. Hale
4803:Sandra Faber
4798:Sidney Drell
4628:Leo Kadanoff
4623:James Cronin
4571:Hans Dehmelt
4506:Robert Pound
4472:Robert Sharp
4288:John Sinfelt
4255:Verner Suomi
4222:Lewis Sarett
4086:Lars Onsager
4030:Henry Eyring
3997:John Bardeen
3907:
3739:Richard Karp
3707:Allen Newell
3486:Jerzy Neyman
3111:Tung-Yen Lin
3088:Bill Hewlett
3018:Morris Cohen
2612:John W. Cahn
2513:Karl Folkers
2274:Lucy Shapiro
2224:Elaine Fuchs
2103:Ann Graybiel
2033:Janet Rowley
2015:James Watson
2007:Ruth Patrick
1850:Philip Leder
1720:Mildred Cohn
1668:Severo Ochoa
1645:E. O. Wilson
1066:
1030:. Retrieved
1021:
1009:. Retrieved
999:
987:
975:. Retrieved
971:
962:
950:. Retrieved
946:
937:
925:. Retrieved
921:
912:
892:
885:
860:
856:
830:
820:
813:
789:
760:
756:
677:
673:
646:
627:
608:
596:Publications
586:Barack Obama
574:Steele Prize
566:Veblen Prize
563:
544:
530:
524:
522:
518:
509:
507:
472:
457:
445:Veblen Prize
441:Morton Brown
430:
417:Joseph Mazur
408:
386:
291:
290:
267:Cathy O'Neil
252:Minhyong Kim
212:Nigel Boston
179:Institutions
164:
157:Veblen Prize
25:
5630:1937 births
5595:André Neves
5585:Daniel Wise
5575:Paul Seidel
5543:David Gabai
5461:Barry Mazur
5170:Tom Hawkins
5164:Joan Birman
5152:Barry Mazur
5092:George Miel
5062:Heinz Bauer
4986:Guido Weiss
4970:Leon Henkin
4934:Paul Halmos
4904:G. H. Hardy
4892:G. A. Bliss
4756:Berni Alder
4563:Frank Press
4444:Walter Kohn
4421:George Pake
4355:Walter Munk
4278:Herman Mark
4260:Henry Taube
4048:Jesse Beams
4002:Peter Debye
3984:Harold Urey
3908:Barry Mazur
3470:John Milnor
3364:Amnon Yariv
3308:Leo Beranek
3134:Ernst Weber
2987:Abel Wolman
2578:Thomas Cech
2508:Elkan Blout
2448:Max Tishler
2365:Roger Adams
2323:Simon Levin
1789:Harry Eagle
1612:Paul Gyorgy
1304:Gary Becker
1051:Barry Mazur
1011:October 24,
977:October 15,
952:October 15,
927:October 15,
724:Microbundle
590:Chern Medal
247:Daniel Kane
217:Noam Elkies
174:Mathematics
137:Chern Medal
21:Barry Mazor
5624:Categories
5445:Raoul Bott
5364:Ezra Brown
5304:Ravi Vakil
5216:Brian Wick
5212:Stan Wagon
5192:Don Zagier
4881:recipients
4550:Vera Rubin
4189:Paul Flory
3850:Hyman Bass
3723:John Cocke
3626:Raoul Bott
3529:Kurt Gödel
3521:John Tukey
3478:Paul Cohen
3093:George Low
3056:Simon Ramo
2279:Leroy Hood
2080:Carl Woese
2028:Bruce Ames
1539:Ernst Mayr
735:References
709:Eigencurve
570:Cole Prize
355:, and the
277:Paul Vojta
227:David Goss
199:R. H. Bing
152:Cole Prize
56:1937-12-19
5523:Gang Tian
4545:Val Fitch
3613:Peter Lax
3383:Shu Chien
2630:John Ross
2345:Chemistry
1733:Paul Berg
1125:laureates
195:Ralph Fox
5609:Song Sun
5581:Ian Agol
4992:Mark Kac
4940:Mark Kac
4524:Ed Stone
1521:Jay Lush
703:See also
451:and the
387:Born in
1032:July 5,
877:2324924
695:0772569
665:1950850
5376:&
5366:&
5346:&
5318:&
5290:&
5242:&
5214:, and
900:
875:
801:
757:Nature
693:
683:
663:
653:
634:
615:
512:Gadfly
460:primes
347:, the
171:Fields
159:(1966)
154:(1982)
149:(1994)
144:(2011)
139:(2022)
133:Awards
5599:2019
5589:2016
5579:2013
5565:2010
5547:2007
5541:2004
5535:and
5527:2001
5517:1996
5507:1991
5501:1986
5495:1981
5489:1981
5483:1976
5477:1976
5471:1971
5465:1971
5455:1966
5449:1966
5443:1964
5437:1964
5382:2024
5372:2023
5358:2022
5352:2021
5342:2020
5336:2019
5330:2018
5324:2017
5314:2016
5308:2015
5302:2014
5296:2013
5278:2012
5272:2011
5266:2010
5260:2009
5254:2008
5248:2007
5238:2006
5232:2005
5226:2004
5220:2003
5206:2002
5196:2001
5190:2000
5184:1999
5174:1998
5168:1997
5162:1996
5156:1995
5150:1994
5136:1993
5130:1992
5120:1991
5114:1990
5108:1989
5102:1988
5096:1987
5090:1986
5084:1985
5078:1984
5066:1981
5060:1980
5054:1979
5048:1978
5042:1977
5036:1976
5026:1975
5020:1974
5014:1973
5008:1972
5002:1971
4996:1970
4990:1968
4984:1967
4974:1965
4968:1964
4962:1963
4956:1960
4950:1956
4944:1953
4938:1950
4932:1947
4926:1944
4920:1941
4914:1938
4908:1935
4902:1932
4896:1929
4890:1925
4788:2010s
4637:2000s
4486:1990s
4307:1980s
4113:1970s
3961:1960s
3880:2010s
3782:2000s
3671:1990s
3582:1980s
3503:1970s
3431:1960s
3373:2010s
3282:2000s
3174:1990s
3065:1980s
2946:1970s
2841:1960s
2752:2010s
2644:2000s
2498:1990s
2374:1980s
2355:1960s
2251:2010s
2060:2000s
1874:1990s
1692:1980s
1548:1970s
1411:1960s
1353:2010s
1294:2000s
1206:1990s
1166:1980s
1147:1960s
873:JSTOR
601:Books
464:knots
5607:and
5593:and
5583:and
5569:and
5559:and
5551:and
5521:and
5511:and
5459:and
5200:and
5178:and
5144:and
5124:and
5030:and
4978:and
4825:2014
4812:2012
4794:2011
4765:2009
4752:2008
4739:2007
4731:2006
4718:2005
4710:2004
4697:2003
4679:2002
4661:2001
4643:2000
4619:1999
4606:1998
4588:1997
4580:1996
4567:1995
4554:1994
4541:1993
4533:1992
4515:1991
4492:1990
4458:1989
4430:1988
4402:1987
4374:1986
4336:1983
4313:1982
4269:1979
4236:1976
4208:1975
4180:1974
4147:1973
4119:1970
4095:1969
4072:1968
4044:1967
4016:1966
3993:1965
3975:1964
3967:1963
3925:2013
3912:2012
3899:2011
3886:2010
3867:2009
3854:2007
3846:2006
3838:2005
3830:2004
3822:2003
3814:2002
3801:2001
3788:2000
3764:1999
3756:1998
3748:1997
3735:1996
3727:1995
3719:1994
3711:1993
3703:1992
3695:1991
3677:1990
3648:1989
3635:1988
3622:1987
3609:1986
3596:1983
3588:1982
3564:1979
3551:1976
3533:1975
3525:1974
3517:1973
3509:1970
3490:1969
3482:1968
3474:1967
3466:1966
3458:1965
3445:1964
3437:1963
3395:2012
3387:2011
3379:2010
3360:2009
3352:2008
3344:2007
3336:2006
3328:2005
3320:2004
3312:2003
3304:2002
3296:2001
3288:2000
3269:1999
3261:1998
3248:1996
3240:1995
3232:1994
3224:1993
3211:1992
3193:1991
3180:1990
3156:1989
3138:1988
3120:1987
3102:1986
3084:1983
3071:1982
3032:1979
3014:1976
2991:1975
2973:1974
2960:1973
2952:1970
2933:1969
2920:1968
2907:1967
2899:1966
2881:1965
2868:1964
2855:1963
2847:1962
2805:2014
2797:2013
2784:2012
2771:2011
2758:2010
2734:2009
2721:2008
2713:2007
2700:2006
2692:2005
2684:2004
2676:2002
2663:2001
2650:2000
2621:1999
2608:1998
2595:1997
2587:1996
2574:1995
2566:1994
2553:1993
2545:1992
2522:1991
2504:1990
2470:1989
2452:1988
2434:1987
2411:1986
2393:1983
2380:1982
2361:1964
2309:2014
2301:2013
2288:2012
2270:2011
2257:2010
2233:2009
2215:2008
2202:2007
2184:2006
2171:2005
2153:2004
2135:2003
2122:2002
2084:2001
2066:2000
2037:1999
2024:1998
2011:1997
2003:1996
1995:1995
1982:1994
1969:1993
1956:1992
1913:1991
1880:1990
1836:1989
1803:1988
1775:1987
1747:1986
1724:1983
1706:1982
1698:1981
1649:1979
1626:1976
1603:1975
1580:1974
1567:1973
1554:1970
1530:1969
1502:1968
1479:1967
1456:1966
1438:1965
1425:1964
1417:1963
1375:2015
1367:2014
1359:2011
1340:2009
1332:2008
1324:2005
1316:2004
1308:2003
1300:2000
1281:1999
1273:1998
1265:1997
1257:1996
1249:1995
1241:1994
1233:1992
1225:1991
1212:1990
1193:1988
1180:1987
1172:1986
1153:1964
1034:2022
1013:2016
979:2021
954:2021
929:2021
898:ISBN
799:ISBN
681:ISBN
651:ISBN
632:ISBN
613:ISBN
529:and
462:and
427:Work
401:ROTC
367:Life
50:Born
865:doi
765:doi
761:483
397:MIT
359:in
351:in
343:in
335:in
327:at
84:PhD
5626::
5603:,
5573:;
5555:;
5531:,
5362:,
5286:,
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