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25:
535:'s supervision. Still a postgraduate student, Donaldson proved in 1982 a result that would establish his fame. He published the result in a paper "Self-dual connections and the topology of smooth 4-manifolds" which appeared in 1983. In the words of Atiyah, the paper "stunned the mathematical world."
165:
573:. These were new topological invariants sensitive to the underlying smooth structure of the four-manifold. They made it possible to deduce the existence of "exotic" smooth structures—certain topological four-manifolds could carry an infinite family of different smooth structures.
878:
Donaldson's recent work centers on a problem in complex differential geometry concerning a conjectural relationship between algebro-geometric "stability" conditions for smooth projective varieties and the existence of
680:"for the new revolutionary invariants of 4-dimensional manifolds and for the study of the relation between stability in algebraic geometry and in global differential geometry, both for bundles and for Fano varieties."
654:
for science for his work in pure mathematical theories linked to physics, which have helped in forming an understanding of the laws of matter at a subnuclear level. In April 2008, he was awarded the
53:
903:
case of the problem in 2012, in collaboration with Chen and Sun. This latest spectacular achievement involved a number of difficult and technical papers. The first of these was the paper of
4772:
851:
A non-singular, projective algebraic surface can be diffeomorphic to the connected sum of two oriented 4-manifolds only if one of them has negative-definite intersection form (
1511:
Chen, Xiuxiong; Donaldson, Simon; Sun, Song (2015c). "Kähler-Einstein metrics on Fano manifolds III: Limits as cone angle approaches 2π and completion of the main proof".
4777:
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Chen, Xiuxiong; Donaldson, Simon; Sun, Song (2015a). "Kähler-Einstein metrics on Fano manifolds I: Approximation of metrics with cone singularities".
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57:
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979:
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Chen, Xiuxiong; Donaldson, Simon; Sun, Song (2015b). "Kähler-Einstein metrics on Fano manifolds II: Limits with cone angle less than 2π".
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632:
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33:
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1742:
79:
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259:
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2735:
86:
4715:
4343:
3404:
1614:
1587:
744:. In January 2017, he was awarded the degree "Doctor Honoris Causa" by the Universidad Complutense de Madrid, Spain.
719:
677:
321:
126:
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651:
601:
306:
93:
3811:
3428:
3214:
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2197:
1834:
1765:
1318:———; Sun, Song (2014). "Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry".
806:
is positive- or negative-definite then it is diagonalizable over the integers. This result is sometimes called
763:
562:
447:
565:
of a smooth four-manifold. As a consequence, a large class of the topological four-manifolds do not admit any
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1936:
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734:
267:
958:
900:
75:
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4579:
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965:". It had been one of the most actively investigated topics in geometry since its proposal in the 1980s by
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367:
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on Gromov–Hausdorff limits. The summary of the existence proof for Kähler–Einstein metrics appears in
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2171:"Some recent developments in Kähler geometry and exceptional holonomy – Simon Donaldson – ICM2018"
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2016:
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in 2015 as a three-article series, "Kähler–Einstein metrics on Fano manifolds, I, II and III".
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classified topological four-manifolds, Donaldson's work focused on four-manifolds admitting a
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Chen, Xiuxiong; Donaldson, Simon; Sun, Song (2014). "Kähler-Einstein metrics and stability".
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2014:(1986). "On the existence of Hermitian-Yang-Mills connections in stable vector bundles".
1609:. Cambridge Tracts in Mathematics. Vol. 147. Cambridge: Cambridge University Press.
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1900:"2019 Oswald Veblen Prize in Geometry to Xiuxiong Chen, Simon Donaldson, and Song Sun"
1185:——— (1987c). "Infinite determinants, stable bundles and curvature".
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911:. Full details of the proofs appear in Chen, Donaldson, and Sun (
511:
Donaldson's father was an electrical engineer in the physiology department at the
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2007:
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1306:
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1234:
1215:——— (1990). "Polynomial invariants for smooth four-manifolds".
1203:
1173:
1138:
1094:
1053:
1017:
841:
726:
670:
476:
64:
895:). Donaldson obtained results in the toric case of the problem (see for example
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2635:
2515:
2466:
2422:
2400:
2385:
2314:
2011:
1790:
Donaldson, Simon K (1986). "The geometry of 4-manifolds". In AM Gleason (ed.).
1705:
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954:
845:
647:
551:
532:
405:
296:
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2483:
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2439:
2373:
2329:
2234:
2050:
1968:
1939:, press announcement from the Royal Swedish Academy of Sciences, 26 May 2010.
1301:
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1133:
1115:
1012:
994:
946:
688:
528:
431:
423:
409:
2155:
977:
and
Donaldson. The solution by Chen, Donaldson and Sun was published in the
471:(born 20 August 1957) is an English mathematician known for his work on the
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4694:
4626:
4542:
4460:
4311:
4249:
4239:
4105:
4050:
4032:
3998:
3994:
3864:
3715:
3633:
3523:
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3326:
3262:
3194:
3139:
3077:
3029:
2981:
2977:
2886:
2776:
2412:
2251:
2229:
2213:
2028:
1792:
Proceedings of the
International Congress of Mathematicians (Berkeley 1986)
711:
570:
554:
286:
4652:
4590:
4573:
4481:
2285:
1835:"ICM Plenary and Invited Speakers, International Mathematical Union (IMU)"
1391:
718:(ICM) in Berkeley. In 2010, Donaldson was elected a foreign member of the
4507:
4357:
4325:
4243:
4006:
3988:
3962:
3936:
3876:
3705:
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3643:
3553:
3424:
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3159:
3133:
3119:
3107:
3097:
3093:
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2766:
2608:
2564:
2302:
962:
932:
892:
814:
635:(ICM) in 1983, and a plenary speaker at the ICM in 1986, 1998, and 2018.
435:
291:
263:
1870:
4669:
4465:
4227:
3980:
3829:
3723:
3629:
3611:
3535:
3462:
3005:
2882:
2862:
2818:
2786:
2751:
2720:
2319:
2280:
1899:
1816:
1320:
1090:
803:
771:
666:
547:
316:
4305:
4207:
4137:
4068:
3577:
3511:
3332:
3204:
2808:
2090:
1758:
1116:"The orientation of Yang-Mills moduli spaces and 4-manifold topology"
974:
860:
195:
740:
In March 2014, he was awarded the degree "Docteur
Honoris Causa" by
4391:
4363:
3434:
2842:
2667:
2182:
950:
692:
561:. One of Donaldson's first results gave severe restrictions on the
515:, and his mother earned a science degree there. Donaldson gained a
480:
472:
349:
243:
239:
2164:
1871:"Five Winners Receive Inaugural Breakthrough Prize in Mathematics"
1526:
1478:
1430:
1382:
1333:
164:
4432:
926:
733:
for services to mathematics. In 2012, he became a fellow of the
3805:
382:
1628:. Oxford Graduate Texts in Mathematics. Vol. 22. Oxford:
1031:"Self-dual connections and the topology of smooth 4-manifolds"
63:
from the article and its talk page, especially if potentially
2005:
Another proof of a somewhat more general result was given by
1982:"Doctores "Honoris Causa" | Facultad de Ciencias Matemáticas"
995:"An application of gauge theory to four-dimensional topology"
673:) for their contributions to geometry in 3 and 4 dimensions.
584:
in 1983, Donaldson was appointed a Junior
Research Fellow at
228:
650:
in
Mathematics. In February 2006, Donaldson was awarded the
3637:
1821:
Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. II
1711:
821:). This contrasts with the situation in higher dimensions.
817:
between simply connected 4-manifolds need not be trivial (
569:
at all. Donaldson also derived polynomial invariants from
1681:"Simon Donaldson, Simons Center for Geometry and Physics"
145:
766:) to problems in geometry. The problems mainly concern
4773:
Foreign associates of the
National Academy of Sciences
1675:
1673:
1969:
List of
Fellows of the American Mathematical Society
866:
Any compact symplectic manifold admits a symplectic
499:
in New York, and a
Professor in Pure Mathematics at
1845:
1694:
Simon
Donaldson Autobiography, The Shaw Prize, 2009
1565:
4778:Foreign members of the Russian Academy of Sciences
1789:
1670:
1571:
523:, in 1979, and in 1980 began postgraduate work at
2133:
1510:
1462:
1414:
920:
916:
912:
4783:Members of the Royal Swedish Academy of Sciences
4729:
3394:
1814:
1365:
908:
1284:"Scalar curvature and projective embeddings. I"
4793:Institute for Advanced Study visiting scholars
1152:"Irrationality and the h-cobordism conjecture"
957:, which states "that a Fano manifold admits a
786:The diagonalizability theorem (Donaldson
782:. The following theorems have been mentioned:
4418:
4193:
3380:
2736:
2198:
1817:"Lefschetz fibrations in symplectic geometry"
927:Conjecture on Fano manifolds and Veblen Prize
4843:Fellows of the American Mathematical Society
2006:
1578:. Oxford Mathematical Monographs. New York:
1317:
980:Journal of the American Mathematical Society
953:, for proving a long-standing conjecture on
904:
588:. He spent the academic year 1983–84 at the
550:, a particular solution to the equations of
491:. He is currently a permanent member of the
389:The Yang–Mills Equations on Kähler Manifolds
242:of smooth (differentiable) four-dimensional
1927:, wolffund.org.il. Accessed 8 January 2023.
1248:"Lefschetz pencils on symplectic manifolds"
1067:"Instantons and geometric invariant theory"
4425:
4411:
4200:
4186:
3387:
3373:
2743:
2729:
2205:
2191:
2059:, by S. K. Donaldson and P. B. Kronheimer"
1958:(Supplement). 31 December 2011. p. 1.
1937:New foreign members elected to the academy
1708:(1986). "On the work of Simon Donaldson".
1698:
1607:Floer homology groups in Yang-Mills theory
1184:
1149:
1113:
1064:
1028:
992:
844:and the theory of determinant bundles and
837:
818:
795:
791:
787:
758:Donaldson's work is on the application of
612:in 1998 as Professor of Pure Mathematics.
604:in 1985. After spending one year visiting
163:
56:about living persons that is unsourced or
4788:Members of the French Academy of Sciences
3772:The Event Horizon Telescope Collaboration
2114:
2074:
1894:
1892:
1799:
1638:10.1093/acprof:oso/9780198526391.001.0001
1623:
1604:
1525:
1477:
1429:
1381:
1332:
1300:
1281:
1264:
1245:
1214:
1167:
1132:
1047:
1011:
896:
871:
852:
127:Learn how and when to remove this message
2750:
1948:
1755:, December 2018). Retrieved 2 June 2019.
986:
855:). This was an early application of the
716:International Congress of Mathematicians
633:International Congress of Mathematicians
631:Donaldson was an invited speaker of the
2145:MacTutor History of Mathematics Archive
2049:
4730:
1889:
1770:International Mathematical Union (IMU)
1704:
802:of a smooth, closed, simply connected
617:Simons Center for Geometry and Physics
493:Simons Center for Geometry and Physics
4818:Alumni of Pembroke College, Cambridge
4406:
4181:
3368:
2724:
2186:
762:(especially the analysis of elliptic
4813:Academics of Imperial College London
4808:Fellows of All Souls College, Oxford
2212:
683:In January 2019, he was awarded the
18:
4823:Alumni of Worcester College, Oxford
4753:21st-century English mathematicians
4748:20th-century English mathematicians
2089:
1930:
941:In 2019, Donaldson was awarded the
742:Université Joseph Fourier, Grenoble
13:
1766:"ICM Plenary and Invited Speakers"
479:(differentiable) four-dimensional
14:
4854:
4716:Roger Makins, 1st Baron Sherfield
2127:
720:Royal Swedish Academy of Sciences
678:Breakthrough Prize in Mathematics
658:, a mathematics prize awarded by
322:Breakthrough Prize in Mathematics
4803:Wallis Professors of Mathematics
2704:
2695:
2694:
909:Chen, Donaldson & Sun (2014)
887:, typically those with constant
638:In 1985, Donaldson received the
23:
4210:Oswald Veblen Prize in Geometry
2116:10.1090/s0273-0979-2012-01375-7
2083:
2076:10.1090/s0273-0979-1993-00377-x
2043:
1999:
1974:
1962:
1942:
1918:
1863:
1794:. Vol. 1. pp. 43–54.
1743:"Donaldson, Sir Simon (Kirwan)"
1536:10.1090/S0894-0347-2014-00801-8
1488:10.1090/S0894-0347-2014-00800-6
1440:10.1090/S0894-0347-2014-00799-2
1150:——— (1987b).
1114:——— (1987a).
1065:——— (1984b).
1049:10.1090/S0273-0979-1983-15090-5
1029:——— (1983b).
943:Oswald Veblen Prize in Geometry
828:over a non-singular projective
685:Oswald Veblen Prize in Geometry
652:King Faisal International Prize
602:Wallis Professor of Mathematics
307:King Faisal International Prize
260:Donaldson–Uhlenbeck–Yau theorem
4591:Michael Augustine Raftery
2057:The geometry of four-manifolds
1827:
1808:
1783:
1736:
1718:
1687:
1574:The geometry of four-manifolds
1282:——— (2001).
1246:——— (1999).
973:. It was later generalized by
764:partial differential equations
646:. In 1994, he was awarded the
1:
2165:Home page at Imperial College
2160:Mathematics Genealogy Project
2103:Bull. Amer. Math. Soc. (N.S.)
2063:Bull. Amer. Math. Soc. (N.S.)
1971:. Retrieved 10 November 2012.
1904:American Mathematical Society
1663:
1200:10.1215/S0012-7094-87-05414-7
993:Donaldson, Simon K. (1983a).
937:K-stability of Fano varieties
735:American Mathematical Society
669:in Mathematics (jointly with
272:Yau–Tian–Donaldson conjecture
268:K-stability of Fano varieties
4768:Fellows of the Royal Society
3680:Sudbury Neutrino Observatory
1231:10.1016/0040-9383(90)90001-Z
676:In 2014, he was awarded the
665:In 2009, he was awarded the
656:Nemmers Prize in Mathematics
623:in New York, United States.
590:Institute for Advanced Study
506:
368:Institute for Advanced Study
312:Nemmers Prize in Mathematics
34:biography of a living person
7:
3604:Supernova Cosmology Project
747:
708:Fellow of the Royal Society
695:). In 2020 he received the
644:London Mathematical Society
521:Pembroke College, Cambridge
519:degree in mathematics from
487:, and his contributions to
216:Pembroke College, Cambridge
61:must be removed immediately
10:
4859:
4574:Thomas Nelson Marsham
4222:Christos Papakyriakopoulos
930:
905:Donaldson & Sun (2014)
751:
706:In 1986, he was elected a
464:Sir Simon Kirwan Donaldson
4708:
4662:
4448:
4216:
3843:
3496:
3403:
3179:
2960:
2759:
2690:
2220:
1815:Donaldson, S. K. (1998).
1624:Donaldson, Simon (2011).
1343:10.1007/s11511-014-0116-3
834:Hermitian–Einstein metric
826:holomorphic vector bundle
697:Wolf Prize in Mathematics
626:
586:All Souls College, Oxford
525:Worcester College, Oxford
457:
415:
399:
381:
355:
345:
338:
332:Wolf Prize in Mathematics
277:
235:
225:Worcester College, Oxford
211:
203:
174:
162:
143:
4653:Gordon Richard Wray
2150:University of St Andrews
1605:Donaldson, S.K. (2002).
557:which has its origin in
544:differentiable structure
4833:Whitehead Prize winners
4597:Vulimiri Ramalingaswami
4098:Shankar Balasubramanian
3834:Alexander Zamolodchikov
3766:Peter van Nieuwenhuizen
3247:Demetrios Christodoulou
3088:Everett Peter Greenberg
2023:(S, suppl): S257–S293.
1753:Oxford University Press
1630:Oxford University Press
1580:Oxford University Press
1369:Int. Math. Res. Notices
660:Northwestern University
615:In 2014, he joined the
610:Imperial College London
513:University of Cambridge
501:Imperial College London
485:Donaldson–Thomas theory
360:Imperial College London
256:Donaldson–Thomas theory
4758:Differential geometers
4680:Antonio Garcia-Bellido
4622:Charles J. M. Stirling
4112:Clifford P. Brangwynne
3945:Emmanuelle Charpentier
2029:10.1002/cpa.3160390714
2017:Comm. Pure Appl. Math.
1302:10.4310/jdg/1090349449
1266:10.4310/jdg/1214425535
1169:10.4310/jdg/1214441179
1134:10.4310/jdg/1214441485
1036:Bull. Amer. Math. Soc.
1013:10.4310/jdg/1214437665
959:Kähler–Einstein metric
899:). He then solved the
640:Junior Whitehead Prize
621:Stony Brook University
497:Stony Brook University
364:Stony Brook University
282:Junior Whitehead Prize
179:Simon Kirwan Donaldson
48:Please help by adding
4602:Peter Richardson
4374:Fernando Codá Marques
3616:High-Z Supernova Team
2951:Shrinivas R. Kulkarni
2099:, by S. K. Donaldson"
1875:breakthroughprize.org
1725:Biography at DeBretts
1289:J. Differential Geom.
1253:J. Differential Geom.
1121:J. Differential Geom.
1000:J. Differential Geom.
987:Selected publications
961:if and only if it is
776:differential geometry
760:mathematical analysis
752:Further information:
319:in Mathematics (2009)
16:English mathematician
4642:Elizabeth Warrington
4055:Virginia Man-Yee Lee
3919:Alexander Varshavsky
3738:Jocelyn Bell Burnell
3636:and contributors to
3010:Keith H. S. Campbell
2970:Stanley Norman Cohen
2136:Robertson, Edmund F.
1730:20 June 2013 at the
1156:J. Differential Geom
969:after he proved the
559:quantum field theory
376:University of Oxford
54:Contentious material
4828:Royal Medal winners
4763:Algebraic geometers
4482:Dennis Chapman
4302:Richard S. Hamilton
4268:James Harris Simons
4039:Jeffrey M. Friedman
3929:Charles David Allis
3614:and members of the
3602:and members of the
3313:Alexander Beilinson
3251:Richard S. Hamilton
2921:Chryssa Kouveliotou
2179:(Plenary Lecture 1)
2134:O'Connor, John J.;
1823:. pp. 309–314.
1514:J. Amer. Math. Soc.
1466:J. Amer. Math. Soc.
1418:J. Amer. Math. Soc.
1392:10.1093/imrn/rns279
1083:1984CMaPh..93..453D
857:Donaldson invariant
840:), proven using an
808:Donaldson's theorem
780:symplectic geometry
606:Stanford University
372:Stanford University
327:Oswald Veblen Prize
4675:Albert Eschenmoser
4637:David Wallace
4617:Michael Smith
4523:Martin Fleischmann
4476:Geoffrey Burnstock
4320:Michael J. Hopkins
4208:Recipients of the
4132:Masashi Yanagisawa
4043:Franz-Ulrich Hartl
3973:Stephen J. Elledge
3925:Alim Louis Benabid
3812:Charles H. Bennett
3762:Daniel Z. Freedman
3712:Charles L. Bennett
3676:Arthur B. McDonald
3664:KĹŤichirĹŤ Nishikawa
3594:John Henry Schwarz
3584:Alexander Polyakov
3562:Michel Della Negra
3481:Daniel A. Spielman
3396:Breakthrough Prize
3323:Jean-Michel Bismut
3050:Franz-Ulrich Hartl
2873:William J. Borucki
2710:Mathematics portal
1986:matematicas.ucm.es
1955:The London Gazette
1906:. 19 November 2018
1091:10.1007/BF01212289
596:, and returned to
576:After gaining his
420:Oscar Garcia Prada
4725:
4724:
4538:John Rodney Guest
4528:C. Robin Ganellin
4400:
4399:
4354:William Minicozzi
4175:
4174:
4154:Fredrick Van Goor
4047:Arthur L. Horwich
4021:Adrian R. Krainer
3915:Richard P. Lifton
3873:Napoleone Ferrara
3853:Cornelia Bargmann
3702:Andrew Strominger
3698:Joseph Polchinski
3508:Nima Arkani-Hamed
3457:Vincent Lafforgue
3447:Christopher Hacon
3362:
3361:
3343:Vladimir Drinfeld
3189:Shiing-Shen Chern
3146:Paul A. Negulescu
3054:Arthur L. Horwich
2927:Lennart Lindegren
2859:Daniel Eisenstein
2718:
2717:
2140:"Simon Donaldson"
1647:978-0-19-960674-0
1566:Donaldson, S.K.;
971:Calabi conjecture
891:(see for example
830:algebraic variety
800:intersection form
582:Oxford University
563:intersection form
527:, at first under
461:
460:
444:Gábor Székelyhidi
416:Doctoral students
340:Scientific career
252:Donaldson theorem
169:Donaldson in 2009
137:
136:
129:
111:
76:"Simon Donaldson"
37:needs additional
4850:
4838:Knights Bachelor
4798:Fields Medalists
4612:Raymond Smallman
4580:William Mitchell
4488:John Clarke
4427:
4420:
4413:
4404:
4403:
4332:Peter Kronheimer
4316:Yakov Eliashberg
4286:Michael Freedman
4262:William Thurston
4202:
4195:
4188:
4179:
4178:
4166:Andrew Singleton
4116:Anthony A. Hyman
4086:Jeffery W. Kelly
4081:
4073:Richard J. Youle
4017:C. Frank Bennett
4011:Don W. Cleveland
3985:Yoshinori Ohsumi
3911:Robert S. Langer
3899:James P. Allison
3861:Lewis C. Cantley
3802:Hidetoshi Katori
3782:Jens H. Gundlach
3692:Super-Kamiokande
3574:Joseph Incandela
3558:Fabiola Gianotti
3520:Maxim Kontsevich
3475:Takuro Mochizuki
3417:Maxim Kontsevich
3389:
3382:
3375:
3366:
3365:
3307:Michel Talagrand
3257:Maxim Kontsevich
3211:Robert Langlands
3150:Michael J. Welsh
3114:Mary-Claire King
3068:Michael W. Young
3040:Ruslan Medzhitov
3024:Jeffrey Friedman
3000:Robert Lefkowitz
2988:Michael Berridge
2945:Maura McLaughlin
2931:Michael Perryman
2745:
2738:
2731:
2722:
2721:
2708:
2698:
2697:
2214:Fields Medalists
2207:
2200:
2193:
2184:
2183:
2178:
2152:
2121:
2120:
2118:
2097:Riemann surfaces
2087:
2081:
2080:
2078:
2047:
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2008:Uhlenbeck, Karen
2003:
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1896:
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1860:
1853:"The Shaw Prize"
1849:
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1626:Riemann surfaces
1620:
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1577:
1568:Kronheimer, P.B.
1555:
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1507:
1481:
1459:
1433:
1411:
1385:
1376:(8): 2119–2125.
1362:
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1314:
1304:
1278:
1268:
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1211:
1181:
1171:
1146:
1136:
1110:
1071:Comm. Math. Phys
1061:
1051:
1025:
1015:
945:, together with
897:Donaldson (2001)
889:scalar curvature
868:Lefschetz pencil
754:Donaldson theory
731:New Year Honours
701:Yakov Eliashberg
567:smooth structure
540:Michael Freedman
531:and later under
470:
452:Michael Thaddeus
428:Dieter Kotschick
401:Doctoral advisor
395:
248:Donaldson theory
192:
188:
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167:
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50:reliable sources
27:
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4728:
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4658:
4563:Chris J. Leaver
4503:Simon Donaldson
4456:Roy M. Anderson
4444:
4431:
4401:
4396:
4388:Simon Donaldson
4296:Clifford Taubes
4256:Dennis Sullivan
4212:
4206:
4176:
4171:
4162:Ellen Sidransky
4142:Michel Sadelain
4128:Emmanuel Mignot
4102:David Klenerman
4075:
4065:Catherine Dulac
3977:Harry F. Noller
3955:Karl Deisseroth
3941:Jennifer Doudna
3907:Michael N. Hall
3893:Bert Vogelstein
3889:Shinya Yamanaka
3885:Robert Weinberg
3881:Charles Sawyers
3839:
3816:Gilles Brassard
3796:Steven Weinberg
3778:Eric Adelberger
3688:YĹŤichirĹŤ Suzuki
3600:Saul Perlmutter
3566:Tejinder Virdee
3550:Stephen Hawking
3499:
3492:
3413:Simon Donaldson
3399:
3393:
3363:
3358:
3337:Ehud Hrushovski
3301:Luis Caffarelli
3235:Clifford Taubes
3231:Simon Donaldson
3221:Vladimir Arnold
3181:
3175:
3166:Stuart H. Orkin
3126:Gero Miesenböck
3064:Michael Rosbash
3060:Jeffrey C. Hall
3020:Douglas Coleman
3014:Shinya Yamanaka
2962:
2956:
2911:Roger Blandford
2905:Edward C. Stone
2899:Jean-Loup Puget
2867:John A. Peacock
2839:David C. Jewitt
2815:Charles Bennett
2803:Reinhard Genzel
2797:Peter Goldreich
2783:Saul Perlmutter
2755:
2749:
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2216:
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2169:
2156:Simon Donaldson
2130:
2125:
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2088:
2084:
2048:
2044:
2012:Yau, Shing-Tung
2004:
2000:
1990:
1988:
1980:
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1975:
1967:
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1947:
1943:
1935:
1931:
1925:Wolf Prize 2020
1923:
1919:
1909:
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1898:
1897:
1890:
1880:
1878:
1869:
1868:
1864:
1859:. 16 June 2009.
1851:
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1801:10.1.1.641.1867
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1732:Wayback Machine
1723:
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1648:
1617:
1590:
989:
939:
929:
901:Kähler–Einstein
846:Quillen metrics
842:inductive proof
838:Donaldson 1987c
819:Donaldson 1987b
756:
750:
710:and received a
671:Clifford Taubes
629:
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489:Kähler geometry
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4568:George Lorimer
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4513:John M. Edmond
4510:
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4493:Peter Day
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4280:Shing-Tung Yau
4276:
4274:Mikhail Gromov
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4150:Paul Negulescu
4135:
4120:Demis Hassabis
4109:
4090:Katalin KarikĂł
4083:
4058:
4036:
4029:Xiaowei Zhuang
4014:
4003:Kazutoshi Mori
3992:
3970:
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3922:
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3869:Titia de Lange
3857:David Botstein
3849:
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3789:
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3758:Sergio Ferrara
3751:
3741:
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3724:Lyman Page Jr.
3720:Norman Jarosik
3709:
3695:
3684:Takaaki Kajita
3641:
3640:project (2016)
3619:
3597:
3587:
3581:
3543:
3532:Nathan Seiberg
3528:Juan Maldacena
3504:
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3451:James McKernan
3444:
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3429:Richard Taylor
3409:
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3392:
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3347:Shing-Tung Yau
3340:
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3304:
3298:
3288:
3282:
3279:Henryk Iwaniec
3272:
3269:George Lusztig
3266:
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3225:Ludwig Faddeev
3218:
3215:Richard Taylor
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3170:Swee Lay Thein
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3156:Patrick Cramer
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3130:Peter Hegemann
3123:
3117:
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3104:Ian R. Gibbons
3101:
3091:
3084:Bonnie Bassler
3081:
3074:Kazutoshi Mori
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3036:Jules Hoffmann
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2937:Matthew Bailes
2934:
2924:
2917:Victoria Kaspi
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2896:
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2853:John F. Hawley
2846:
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2833:Gerald Fishman
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2773:Geoffrey Marcy
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2128:External links
2126:
2123:
2122:
2109:(3): 455–463.
2082:
2069:(2): 415–418.
2051:Hitchin, Nigel
2042:
1998:
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1520:(1): 235–278.
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1127:(3): 397–428.
1111:
1077:(4): 453–460.
1062:
1026:
1006:(2): 279–315.
988:
985:
967:Shing-Tung Yau
955:Fano manifolds
928:
925:
885:Kähler metrics
876:
875:
872:Donaldson 1999
864:
853:Donaldson 1990
849:
822:
811:
749:
746:
699:(jointly with
687:(jointly with
648:Crafoord Prize
628:
625:
608:, he moved to
533:Michael Atiyah
508:
505:
459:
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448:Richard Thomas
417:
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236:Known for
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189:20 August 1957
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4643:
4640:
4638:
4635:
4633:
4630:
4628:
4625:
4623:
4620:
4618:
4615:
4613:
4610:
4608:
4607:Harold Ridley
4605:
4603:
4600:
4598:
4595:
4593:
4592:
4588:
4586:
4585:Keith Moffatt
4583:
4581:
4578:
4576:
4575:
4571:
4569:
4566:
4564:
4561:
4559:
4556:
4554:
4553:Alec Jeffreys
4551:
4549:
4548:Werner Israel
4546:
4544:
4541:
4539:
4536:
4534:
4531:
4529:
4526:
4524:
4521:
4519:
4516:
4514:
4511:
4509:
4506:
4504:
4501:
4499:
4498:Richard Dixon
4496:
4494:
4491:
4489:
4486:
4484:
4483:
4479:
4477:
4474:
4472:
4469:
4467:
4464:
4462:
4459:
4457:
4454:
4453:
4451:
4447:
4443:
4439:
4438:Royal Society
4435:
4428:
4423:
4421:
4416:
4414:
4409:
4408:
4405:
4393:
4389:
4385:
4384:Xiuxiong Chen
4381:
4379:
4375:
4371:
4369:
4365:
4361:
4359:
4355:
4351:
4347:
4345:
4341:
4340:Peter Ozsváth
4337:
4336:Tomasz Mrowka
4333:
4329:
4327:
4323:
4321:
4317:
4313:
4309:
4307:
4303:
4299:
4297:
4293:
4292:Andrew Casson
4289:
4287:
4283:
4281:
4277:
4275:
4271:
4269:
4265:
4263:
4259:
4257:
4253:
4251:
4247:
4245:
4241:
4237:
4235:
4234:Stephen Smale
4231:
4229:
4225:
4223:
4219:
4218:
4215:
4211:
4203:
4198:
4196:
4191:
4189:
4184:
4183:
4180:
4167:
4163:
4159:
4158:Thomas Gasser
4155:
4151:
4147:
4146:Sabine Hadida
4143:
4139:
4136:
4133:
4129:
4125:
4121:
4117:
4113:
4110:
4107:
4103:
4099:
4095:
4094:Drew Weissman
4091:
4087:
4084:
4079:
4074:
4070:
4066:
4062:
4059:
4056:
4052:
4048:
4044:
4040:
4037:
4034:
4030:
4026:
4025:Angelika Amon
4022:
4018:
4015:
4012:
4008:
4004:
4000:
3996:
3993:
3990:
3986:
3982:
3981:Roeland Nusse
3978:
3974:
3971:
3968:
3964:
3960:
3956:
3952:
3951:Edward Boyden
3949:
3946:
3942:
3938:
3934:
3933:Victor Ambros
3930:
3926:
3923:
3920:
3916:
3912:
3908:
3904:
3903:Mahlon DeLong
3900:
3897:
3894:
3890:
3886:
3882:
3878:
3874:
3870:
3866:
3862:
3858:
3854:
3851:
3850:
3848:
3846:
3845:Life sciences
3842:
3835:
3831:
3828:
3825:
3824:Peter W. Shor
3821:
3820:David Deutsch
3817:
3813:
3810:
3807:
3803:
3800:
3797:
3793:
3790:
3787:
3786:Blayne Heckel
3783:
3779:
3776:
3773:
3770:
3767:
3763:
3759:
3755:
3752:
3749:
3745:
3742:
3739:
3735:
3732:
3729:
3728:David Spergel
3725:
3721:
3717:
3713:
3710:
3707:
3703:
3699:
3696:
3693:
3689:
3685:
3681:
3677:
3673:
3669:
3665:
3661:
3657:
3656:Atsuto Suzuki
3653:
3652:Daya Bay team
3649:
3645:
3642:
3639:
3635:
3631:
3627:
3626:Ronald Drever
3623:
3620:
3617:
3613:
3609:
3608:Brian Schmidt
3605:
3601:
3598:
3595:
3591:
3590:Michael Green
3588:
3585:
3582:
3579:
3575:
3571:
3570:Guido Tonelli
3567:
3563:
3559:
3555:
3551:
3547:
3544:
3541:
3540:Edward Witten
3537:
3533:
3529:
3525:
3521:
3517:
3516:Alexei Kitaev
3513:
3509:
3506:
3505:
3503:
3501:
3495:
3488:
3487:Simon Brendle
3485:
3482:
3479:
3476:
3473:
3470:
3469:Martin Hairer
3467:
3464:
3461:
3458:
3455:
3452:
3448:
3445:
3442:
3441:Jean Bourgain
3439:
3436:
3433:
3430:
3426:
3422:
3418:
3414:
3411:
3410:
3408:
3406:
3402:
3397:
3390:
3385:
3383:
3378:
3376:
3371:
3370:
3367:
3354:
3351:
3348:
3344:
3341:
3338:
3334:
3331:
3328:
3324:
3321:
3318:
3317:David Kazhdan
3314:
3311:
3308:
3305:
3302:
3299:
3296:
3295:Claire Voisin
3292:
3289:
3286:
3285:Nigel Hitchin
3283:
3280:
3276:
3275:Gerd Faltings
3273:
3270:
3267:
3264:
3261:
3258:
3255:
3252:
3248:
3245:
3242:
3241:Jean Bourgain
3239:
3236:
3232:
3229:
3226:
3222:
3219:
3216:
3212:
3209:
3206:
3202:
3201:David Mumford
3199:
3196:
3193:
3190:
3187:
3186:
3184:
3178:
3171:
3167:
3164:
3161:
3157:
3154:
3151:
3147:
3144:
3141:
3138:
3135:
3131:
3127:
3124:
3121:
3118:
3115:
3112:
3109:
3105:
3102:
3099:
3095:
3092:
3089:
3085:
3082:
3079:
3075:
3072:
3069:
3065:
3061:
3058:
3055:
3051:
3048:
3045:
3044:Bruce Beutler
3041:
3037:
3034:
3031:
3028:
3025:
3021:
3018:
3015:
3011:
3007:
3004:
3001:
2998:
2995:
2994:Xiaodong Wang
2992:
2989:
2986:
2983:
2979:
2975:
2974:Herbert Boyer
2971:
2968:
2967:
2965:
2959:
2952:
2949:
2946:
2942:
2938:
2935:
2932:
2928:
2925:
2922:
2918:
2915:
2912:
2909:
2906:
2903:
2900:
2897:
2894:
2891:
2888:
2884:
2880:
2879:Ronald Drever
2877:
2874:
2871:
2868:
2864:
2860:
2857:
2854:
2850:
2849:Steven Balbus
2847:
2844:
2840:
2837:
2834:
2830:
2827:
2824:
2823:David Spergel
2820:
2816:
2813:
2810:
2807:
2804:
2801:
2798:
2795:
2792:
2791:Brian Schmidt
2788:
2784:
2781:
2778:
2774:
2771:
2768:
2765:
2764:
2762:
2758:
2753:
2746:
2741:
2739:
2734:
2732:
2727:
2726:
2723:
2711:
2707:
2703:
2701:
2693:
2692:
2689:
2679:
2676:
2674:
2671:
2669:
2666:
2664:
2663:Duminil-Copin
2660:
2659:
2657:
2652:
2649:
2647:
2644:
2642:
2639:
2637:
2633:
2632:
2630:
2625:
2622:
2620:
2617:
2615:
2612:
2610:
2606:
2605:
2603:
2598:
2595:
2593:
2590:
2588:
2585:
2583:
2582:Lindenstrauss
2579:
2578:
2576:
2571:
2568:
2566:
2563:
2561:
2558:
2556:
2552:
2551:
2549:
2544:
2541:
2539:
2535:
2534:
2532:
2527:
2524:
2522:
2519:
2517:
2514:
2512:
2508:
2507:
2505:
2500:
2497:
2495:
2492:
2490:
2487:
2485:
2481:
2480:
2478:
2473:
2470:
2468:
2465:
2463:
2460:
2458:
2454:
2453:
2451:
2446:
2443:
2441:
2438:
2436:
2432:
2431:
2429:
2424:
2421:
2419:
2416:
2414:
2410:
2409:
2407:
2402:
2399:
2397:
2394:
2392:
2389:
2387:
2383:
2382:
2380:
2375:
2372:
2370:
2366:
2365:
2363:
2358:
2355:
2353:
2350:
2348:
2345:
2343:
2339:
2338:
2336:
2331:
2328:
2326:
2323:
2321:
2318:
2316:
2312:
2311:
2309:
2304:
2301:
2299:
2295:
2294:
2292:
2287:
2284:
2282:
2278:
2277:
2275:
2270:
2267:
2265:
2261:
2260:
2258:
2253:
2250:
2248:
2244:
2243:
2241:
2236:
2233:
2231:
2227:
2226:
2224:
2223:
2219:
2215:
2208:
2203:
2201:
2196:
2194:
2189:
2188:
2185:
2176:
2172:
2168:
2166:
2163:
2161:
2157:
2154:
2151:
2147:
2146:
2141:
2137:
2132:
2131:
2117:
2112:
2108:
2104:
2100:
2098:
2092:
2086:
2077:
2072:
2068:
2064:
2060:
2058:
2052:
2046:
2038:
2034:
2030:
2026:
2022:
2019:
2018:
2013:
2009:
2002:
1987:
1983:
1977:
1970:
1965:
1957:
1956:
1951:
1945:
1938:
1933:
1926:
1921:
1905:
1901:
1895:
1893:
1876:
1872:
1866:
1858:
1857:shawprize.org
1854:
1848:
1840:
1839:mathunion.org
1836:
1830:
1822:
1818:
1811:
1802:
1797:
1793:
1786:
1771:
1767:
1761:
1754:
1751:(online ed.,
1750:
1749:
1744:
1739:
1733:
1729:
1726:
1721:
1713:
1712:
1707:
1701:
1695:
1690:
1682:
1676:
1674:
1669:
1657:
1653:
1649:
1643:
1639:
1635:
1631:
1627:
1622:
1618:
1616:0-521-80803-0
1612:
1608:
1603:
1599:
1595:
1591:
1589:0-19-853553-8
1585:
1581:
1576:
1575:
1569:
1564:
1563:
1562:
1561:
1553:
1549:
1545:
1541:
1537:
1533:
1528:
1523:
1519:
1516:
1515:
1509:
1505:
1501:
1497:
1493:
1489:
1485:
1480:
1475:
1471:
1468:
1467:
1461:
1457:
1453:
1449:
1445:
1441:
1437:
1432:
1427:
1423:
1420:
1419:
1413:
1409:
1405:
1401:
1397:
1393:
1389:
1384:
1379:
1375:
1371:
1370:
1364:
1360:
1356:
1352:
1348:
1344:
1340:
1335:
1330:
1327:(1): 63–106.
1326:
1323:
1322:
1316:
1312:
1308:
1303:
1298:
1294:
1291:
1290:
1285:
1280:
1276:
1272:
1267:
1262:
1258:
1255:
1254:
1249:
1244:
1240:
1236:
1232:
1228:
1224:
1220:
1219:
1213:
1209:
1205:
1201:
1197:
1193:
1190:
1189:
1188:Duke Math. J.
1183:
1179:
1175:
1170:
1165:
1161:
1157:
1153:
1148:
1144:
1140:
1135:
1130:
1126:
1123:
1122:
1117:
1112:
1108:
1104:
1100:
1096:
1092:
1088:
1084:
1080:
1076:
1072:
1068:
1063:
1059:
1055:
1050:
1045:
1041:
1038:
1037:
1032:
1027:
1023:
1019:
1014:
1009:
1005:
1002:
1001:
996:
991:
990:
984:
982:
981:
976:
972:
968:
964:
960:
956:
952:
948:
947:Xiuxiong Chen
944:
938:
934:
924:
922:
918:
914:
910:
906:
902:
898:
894:
890:
886:
882:
873:
869:
865:
862:
858:
854:
850:
847:
843:
839:
835:
831:
827:
823:
820:
816:
812:
809:
805:
801:
797:
793:
789:
785:
784:
783:
781:
777:
773:
769:
765:
761:
755:
745:
743:
738:
736:
732:
728:
723:
721:
717:
713:
709:
704:
702:
698:
694:
690:
689:Xiuxiong Chen
686:
681:
679:
674:
672:
668:
663:
661:
657:
653:
649:
645:
641:
636:
634:
624:
622:
618:
613:
611:
607:
603:
599:
595:
591:
587:
583:
579:
574:
572:
568:
564:
560:
556:
553:
549:
545:
541:
536:
534:
530:
529:Nigel Hitchin
526:
522:
518:
514:
504:
502:
498:
494:
490:
486:
482:
478:
474:
469:
465:
456:
453:
449:
445:
441:
437:
433:
432:Graham Nelson
429:
425:
424:Dominic Joyce
421:
418:
414:
411:
410:Nigel Hitchin
407:
404:
402:
398:
391:
390:
386:
384:
380:
377:
373:
369:
365:
361:
358:
354:
351:
348:
344:
341:
337:
333:
328:
323:
318:
313:
308:
303:
298:
293:
288:
283:
280:
276:
273:
269:
265:
261:
257:
253:
249:
245:
241:
238:
234:
230:
226:
221:
217:
214:
210:
206:
202:
197:
191:(age 67)
177:
173:
166:
161:
156:
147:
142:
139:
131:
128:
120:
117:February 2013
109:
106:
102:
99:
95:
92:
88:
85:
81:
78: –
77:
73:
72:Find sources:
66:
62:
59:
55:
51:
45:
44:
40:
35:
30:
21:
20:
4700:Vivian Fuchs
4695:Shosaku Numa
4651:
4647:Allan Wilson
4627:John Sulston
4589:
4572:
4543:Gabriel Horn
4502:
4480:
4461:John Argyris
4387:
4344:Zoltán Szabó
4312:Jeff Cheeger
4250:Robion Kirby
4240:Morton Brown
4106:Pascal Mayer
4051:David Julius
4033:Zhijian Chen
3999:Peter Walter
3995:Joanne Chory
3967:Svante Pääbo
3865:Hans Clevers
3791:
3753:
3744:Charles Kane
3733:
3716:Gary Hinshaw
3634:Rainer Weiss
3621:
3580:(LHC) (2013)
3545:
3524:Andrei Linde
3412:
3353:Peter Sarnak
3327:Jeff Cheeger
3291:János Kollár
3263:David Donoho
3230:
3195:Andrew Wiles
3180:Mathematical
3140:Scott D. Emr
3078:Peter Walter
3030:David Julius
2982:Richard Doll
2978:Yuet-Wai Kan
2963:and medicine
2961:Life science
2887:Rainer Weiss
2829:Enrico Costa
2777:Michel Mayor
2434:
2325:Grothendieck
2174:
2143:
2106:
2102:
2096:
2085:
2066:
2062:
2056:
2045:
2020:
2015:
2001:
1989:. Retrieved
1985:
1976:
1964:
1953:
1944:
1932:
1920:
1908:. Retrieved
1903:
1879:. Retrieved
1874:
1865:
1856:
1847:
1838:
1829:
1820:
1810:
1791:
1785:
1773:. Retrieved
1769:
1760:
1746:
1738:
1720:
1709:
1700:
1689:
1625:
1606:
1573:
1559:
1558:
1517:
1512:
1469:
1464:
1421:
1416:
1373:
1367:
1324:
1319:
1292:
1287:
1256:
1251:
1222:
1216:
1191:
1186:
1159:
1155:
1124:
1119:
1074:
1070:
1042:(1): 81–83.
1039:
1034:
1003:
998:
978:
940:
877:
863:invariants).
768:gauge theory
757:
739:
729:in the 2012
724:
712:Fields Medal
705:
682:
675:
664:
637:
630:
614:
580:degree from
575:
571:gauge theory
555:gauge theory
537:
510:
463:
462:
387:
356:Institutions
339:
287:Fields Medal
138:
123:
114:
104:
97:
90:
83:
71:
60:
43:verification
36:
4738:1957 births
4632:Jean Thomas
4533:Adrian Gill
4508:John Dowell
4471:Alec Broers
4378:André Neves
4368:Daniel Wise
4358:Paul Seidel
4326:David Gabai
4244:Barry Mazur
4124:John Jumper
4076: [
4061:David Baker
4007:Kim Nasmyth
3989:Huda Zoghbi
3963:Helen Hobbs
3937:Gary Ruvkun
3877:Eric Lander
3748:Eugene Mele
3706:Cumrun Vafa
3694:team (2016)
3648:Kam-Biu Luk
3644:Yifang Wang
3554:Peter Jenni
3498:Fundamental
3425:Terence Tao
3421:Jacob Lurie
3405:Mathematics
3160:Eva Nogales
3134:Georg Nagel
3120:Maria Jasin
3108:Ronald Vale
3098:Huda Zoghbi
3094:Adrian Bird
2893:Simon White
2767:Jim Peebles
2661:2022
2634:2018
2607:2014
2580:2010
2553:2006
2536:2002
2509:1998
2482:1994
2455:1990
2433:1986
2411:1982
2384:1978
2367:1974
2340:1970
2313:1966
2296:1962
2279:1958
2262:1954
2245:1950
2228:1936
1950:"No. 60009"
1775:3 September
933:K-stability
893:cscK metric
815:h-cobordism
772:4-manifolds
436:Paul Seidel
302:PĂłlya Prize
292:Royal Medal
264:K-stability
204:Nationality
4732:Categories
4709:Statute 12
4670:Piet Borst
4558:Allen Kerr
4466:Ian Axford
4228:Raoul Bott
3959:John Hardy
3830:John Cardy
3630:Kip Thorne
3612:Adam Riess
3576:(CMS) and
3536:Ashoke Sen
3463:Alex Eskin
3205:Wentsun Wu
3006:Ian Wilmut
2883:Kip Thorne
2863:Shaun Cole
2819:Lyman Page
2787:Adam Riess
2752:Shaw Prize
2624:Mirzakhani
2521:Kontsevich
2091:Kra, Irwin
1991:27 October
1706:Atiyah, M.
1664:References
1321:Acta Math.
931:See also:
804:4-manifold
798:): If the
774:, complex
667:Shaw Prize
552:Yang–Mills
548:instantons
440:Ivan Smith
317:Shaw Prize
185:1957-08-20
87:newspapers
4306:Gang Tian
4138:Carl June
4069:Dennis Lo
3578:Lyn Evans
3560:(ATLAS),
3512:Alan Guth
3398:laureates
3333:Noga Alon
2809:Frank Shu
2760:Astronomy
2754:laureates
2678:Viazovska
2651:Venkatesh
2543:Voevodsky
2538:Lafforgue
2511:Borcherds
2435:Donaldson
2391:Fefferman
2298:Hörmander
2095:"Review:
2055:"Review:
1796:CiteSeerX
1748:Who's Who
1552:119575364
1527:1302.0282
1504:119140033
1479:1212.4714
1456:119641827
1431:1211.4566
1408:119165036
1383:1210.7494
1359:120450769
1334:1206.2609
1107:120209762
975:Gang Tian
861:instanton
832:admits a
824:A stable
813:A smooth
642:from the
594:Princeton
507:Biography
481:manifolds
244:manifolds
198:, England
196:Cambridge
39:citations
4440:elected
4392:Song Sun
4364:Ian Agol
3690:and the
3678:and the
3666:and the
3658:and the
3650:and the
3435:Ian Agol
2843:Jane Luu
2700:Category
2614:Bhargava
2560:Perelman
2555:Okounkov
2526:McMullen
2499:Zelmanov
2484:Bourgain
2457:Drinfeld
2445:Freedman
2440:Faltings
2418:Thurston
2396:Margulis
2369:Bombieri
2357:Thompson
2347:Hironaka
2247:Schwartz
2093:(2012).
2053:(1993).
1728:Archived
1570:(1990).
1218:Topology
963:K-stable
951:Song Sun
881:extremal
748:Research
727:knighted
693:Song Sun
546:, using
538:Whereas
473:topology
350:Topology
240:Topology
65:libelous
4663:Foreign
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4442:in 1986
4436:of the
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3792:Special
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3182:science
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2641:Figalli
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725:He was
714:at the
207:British
101:scholar
4718:
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4108:(2022)
4082:(2021)
4057:(2020)
4035:(2019)
4013:(2018)
3991:(2017)
3969:(2016)
3947:(2015)
3921:(2014)
3895:(2013)
3836:(2024)
3826:(2023)
3808:(2022)
3806:Jun Ye
3798:(2021)
3788:(2021)
3774:(2020)
3768:(2019)
3750:(2019)
3740:(2018)
3730:(2018)
3708:(2017)
3682:team,
3674:team,
3662:team,
3618:(2015)
3596:(2014)
3586:(2013)
3542:(2012)
3489:(2024)
3483:(2023)
3477:(2022)
3471:(2021)
3465:(2020)
3459:(2019)
3453:(2018)
3443:(2017)
3437:(2016)
3431:(2015)
3355:(2024)
3349:(2023)
3339:(2022)
3329:(2021)
3319:(2020)
3309:(2019)
3303:(2018)
3297:(2017)
3287:(2016)
3281:(2015)
3271:(2014)
3265:(2013)
3259:(2012)
3253:(2011)
3243:(2010)
3237:(2009)
3227:(2008)
3217:(2007)
3207:(2006)
3197:(2005)
3191:(2004)
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3162:(2023)
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3142:(2021)
3136:(2020)
3122:(2019)
3116:(2018)
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2990:(2005)
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334:(2020)
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294:(1992)
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284:(1985)
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4260:1976
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