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1001:. Partly in collaboration with Seiberg, one of his recent interests includes aspects of field theoretical description of topological phases in condensed matter and non-supersymmetric dualities in field theories that, among other things, are of high relevance in condensed matter theory. In 2016, he has also brought tensor models to the relevance of holographic and quantum gravity theories, by using them as a generalization of the
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44:
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1008:
Witten has published influential and insightful work in many aspects of quantum field theories and mathematical physics, including the physics and mathematics of anomalies, integrability, dualities, localization, and homologies. Many of his results have deeply influenced areas in theoretical physics
698:
Although he is definitely a physicist (as his list of publications clearly shows) his command of mathematics is rivaled by few mathematicians, and his ability to interpret physical ideas in mathematical form is quite unique. Time and again he has surprised the mathematical community by a brilliant
960:. Maldacena's discovery has dominated high-energy theoretical physics for the past 15 years because of its applications to theoretical problems in quantum gravity and quantum field theory. Witten's foundational work following Maldacena's result has shed light on this relationship.
699:
application of physical insight leading to new and deep mathematical theorems ... He has made a profound impact on contemporary mathematics. In his hands physics is once again providing a rich source of inspiration and insight in mathematics.
2872:
577:. The three brothers' sister Celia M. Witten earned a Ph.D. in mathematics from Stanford University and then an M.D. from the University of Miami. Edward Witten is the son of Lorraine (born Wollach) Witten and
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1009:(often well beyond the original context of his results), including string theory, quantum gravity and topological condensed matter. In particular, Witten is known for collaborating with
5321:
1270:
and Edward Witten. American
Mathematical Society, Providence, RI; Institute for Advanced Study (IAS), Princeton, NJ, 1999. Vol. 1: xxii+723 pp.; Vol. 2: pp. i–xxiv and 727–1501.
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and advocates a boycott of
Israeli institutions and economic activity beyond its 1967 borders, though not of Israel itself. Witten lived in Israel for a year in the 1960s.
904:
in 1995, Witten made the surprising suggestion that these five string theories were in fact not distinct theories, but different limits of a single theory, which he called
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525:, and other areas of mathematical physics. Witten's work has also significantly impacted pure mathematics. In 1990, he became the first physicist to be awarded a
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4882:
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Seiberg, Nathan; Witten, Edward (1994). "Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory".
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1960:
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1242:. Vols. 1, 2. Material from the Special Year on Quantum Field Theory held at the Institute for Advanced Study, Princeton, NJ, 1996–1997. Edited by
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in physics in 1976 and completing a dissertation, "Some problems in the short distance analysis of gauge theories", under the supervision of
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In an informal poll at a 1990 cosmology conference, Witten received the largest number of mentions as "the smartest living physicist".
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979:. The latter paper, combined with Witten's earlier work on topological quantum field theory, led to developments in the topology of
908:. Witten's proposal was based on the observation that the five string theories can be mapped to one another by certain rules called
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714:
687:
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3100:"For an Economic Boycott and Political Nonrecognition of the Israeli Settlements in the Occupied Territories | Todd Gitlin"
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2063:
2014:
1965:
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314:
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901:
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1914:
Reshetikhin, Nicolai; Turaev, Vladimir (1991). "Invariants of 3-manifolds via link polynomials and quantum groups".
2552:
Kapustin, Anton; Witten, Edward (April 21, 2006). "Electric-Magnetic
Duality And The Geometric Langlands Program".
2158:
847:
773:
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680:
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165:
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1596:
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967:, Witten established several powerful results in quantum field theories. In their paper on string theory and
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for one semester as an economics graduate student before dropping out. He returned to academia, enrolling in
133:
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Bird, Kai; Abraham, David; Witten, Edward; Walzer, Michael; Brooks, Peter; Beinart, Peter; Gitlin, Todd.
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976:
145:
141:
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3714:
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897:, and that theory was the one whose low-energy limit matched the physics observed in our world today.
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As an example of Witten's work in pure mathematics, Atiyah cites his application of techniques from
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Another of Witten's contributions to physics was to the result of gauge/gravity duality. In 1997,
4826:
4687:
4562:
4494:
4392:
2299:
Juan M. Maldacena (1998). "The Large N limit of superconformal field theories and supergravity".
1213:. Cambridge Monographs on Mathematical Physics. Cambridge, UK: Cambridge University Press, 1988.
1146:
968:
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202:
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3236:
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1034:
953:
949:
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250:
129:
1331:
1324:
843:
772:, mathematicians were able to systematically develop Witten's ideas, leading to the theory of
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3959:
3191:
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the runner-up). Some considered Witten to be in the same league as
Einstein and Newton." See
2775:
765:
582:
510:
240:
194:
3228:
A Physicist's
Physicist Ponders the Nature of Reality, Interview with Nathalie Wolchover in
1502:
997:, Witten has made deep mathematical connections between S-duality of gauge theories and the
975:
that arise as limits of string theory. In another well-known paper, they studied aspects of
862:
had developed five different consistent versions of the theory. These versions are known as
5216:
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4783:
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4416:
3314:
2571:
2539:
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2115:
2072:
2023:
1974:
1925:
1880:
1829:
1753:
1170:
1127:
1026:
894:
893:). The thinking was that of these five candidate theories, only one was the actual correct
727:
639:
367:
337:
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186:
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Another result for which Witten was awarded the Fields Medal was his proof in 1981 of the
8:
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3528:
3198:
816:
812:
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658:(1977–78), was a junior fellow in the Harvard Society of Fellows (1977–1980), and held a
635:
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4771:
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1990:
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2225:. Future Perspectives in String Theory. Los Angeles: University of Southern California
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Seiberg, Nathan; Witten, Edward (1999). "String Theory and
Noncommutative Geometry".
2277:
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1945:
1602:
1335:
1326:
Not Even Wrong: The
Failure of String Theory and the Search for Unity in Physical Law
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1214:
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became a writer, and his brother Jesse Amnon Witten became a law partner in the firm
359:
182:
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2969:, to nominate the smartest living physicist. Edward Witten got the most votes (with
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and are identified by these dualities. It led to a flurry of work now known as the
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of a gravitating system is always positive and can be zero only if the geometry of
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764:. Although Witten's work was based on the mathematically ill-defined notion of a
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2976:"Physics Titan Edward Witten Still Thinks String Theory 'on the Right Track'"
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He had aspirations in journalism and politics and published articles in both
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in 1993. In May 2022 he was awarded an honorary Doctor of
Sciences from the
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1361:"Edward Witten – Adventures in physics and math (Kyoto Prize lecture 2014)"
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533:, for his mathematical insights in physics, such as his 1981 proof of the
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4153:
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3443:
3418:
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2605:
Witten, Edward (October 31, 2016). "An SYK-Like Model
Without Disorder".
1184:
1010:
931:
647:
570:
498:
426:
397:
309:
2106:
Parker, Thomas H. (1985). "Gauge choice in Witten's energy expression".
1647:
Witten, Edward (October 18, 1969). "Are You
Listening, D.H. Lawrence?".
1226:
Superstring Theory. Vol. 2, Loop Amplitudes, Anomalies and Phenomenology
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2472:
2417:
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Witten, Edward (1995). "String theory dynamics in various dimensions".
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2035:
1986:
1937:
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could provide a framework for understanding the mathematical theory of
619:
1395:
787:. This theorem asserts that (under appropriate assumptions) the total
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4306:
4240:
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822:
A third area mentioned in Atiyah's address is Witten's work relating
792:
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70:
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2010:"On the proof of the positive mass conjecture in general relativity"
4163:
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3555:
2619:
1088:
905:
831:
752:. In particular, Witten realized that a physical theory now called
745:
562:
546:
121:
74:
2099:
1069:(London), and in March 2016 was elected an Honorary Fellow of the
3186:
2898:"Penn's 2022 Commencement Speaker and Honorary Degree Recipients"
2514:(1996), "The Seiberg-Witten equations and 4-manifold topology.",
842:. Witten's work gave a physical proof of a classical result, the
799:. It establishes Minkowski space as a stable ground state of the
586:
3266:
1197:
Current Algebra and Anomalies: A Set of Lecture Notes and Papers
1130:, since 1979. They have two daughters and a son. Their daughter
43:
4534:
788:
566:
374:
3003:"The 2014 Kyoto Prize Commemorative Lecture in Basic Sciences"
2699:"The President's National Medal of Science: Recipient Details"
2677:"Golden Plate Awardees of the American Academy of Achievement"
1740:
Some problems in the short distance analysis of gauge theories
1529:"LDB Appoints Jesse A. Witten to the LDB Legal Advisory Board"
1167:
Some Problems in the Short Distance Analysis of Gauge Theories
705:
381:
Some Problems in the Short Distance Analysis of Gauge Theories
2346:
Edward Witten (1998). "Anti-de Sitter space and holography".
1500:
604:
degree with a major in history and minor in linguistics from
541:, and his interpretation of the Jones invariants of knots as
467:
4366:
1435:
Proceedings of the International Congress of Mathematicians
1013:
on a method calculating scattering amplitudes known as the
1134:
is a neuroscientist at Princeton University, and daughter
5322:
Members of the United States National Academy of Sciences
1025:
Witten has been honored with numerous awards including a
643:
107:
1065:(2012). Since 1999, he has been a Foreign Member of the
623:
in the late 1960s. In 1972, he worked for six months on
1240:
Quantum fields and strings: a course for mathematicians
1565:
The University of Texas at Austin, College of Pharmacy
1299:. World Cultural Council. June 6, 2016. Archived from
744:
of observable quantities encode information about the
2949:
in 2014, "I asked attendees, who included folks like
5252:
Fellows of the American Academy of Arts and Sciences
2643:
1662:
Witten, Edward (December 16, 1968). "The New Left".
569:
family, as the eldest of four children. His brother
3097:
1228:. Cambridge, UK: Cambridge University Press, 1988.
952:, which establishes a relationship between certain
740:for a certain type of physical theory in which the
642:in 1973, then shifting departments and receiving a
2607:Journal of Physics A: Mathematical and Theoretical
1323:
3196:
2917:
2298:
1913:
803:. While the original proof of this result due to
5237:Albert Einstein World Award of Science Laureates
5208:
4938:Albert Einstein World Award of Science Laureates
4123:
2731:(in Italian). September 23, 2005. Archived from
2349:Advances in Theoretical and Mathematical Physics
2302:Advances in Theoretical and Mathematical Physics
1679:"'The Universe Speaks in Numbers' – Interview 5"
3044:
3019:
2185:
2183:
1864:"Quantum Field Theory and the Jones Polynomial"
1485:
2798:"Fellows of the American Mathematical Society"
2551:
1501:J J O'Connor; E F Robertson (September 2009).
501:. He is a professor emeritus in the school of
5367:Members of the American Philosophical Society
5317:Members of the Pontifical Academy of Sciences
4922:
4109:
3571:
3252:
2725:"Il premio Pitagora al fisico teorico Witten"
2517:Bulletin of the American Mathematical Society
2455:
2400:
2345:
5257:Fellows of the American Mathematical Society
2180:
1961:"A new proof of the positive energy theorem"
1766:Notices of the American Mathematical Society
1091:of 2004. In 2012, he became a fellow of the
900:Speaking at the string theory conference at
734:. In the late 1980s, Witten coined the term
545:. He is considered the practical founder of
3129:"Edward Witten for Americans for Peace Now"
2945:"At a 1990 conference on cosmology," wrote
2554:Communications in Number Theory and Physics
1601:. Europa Publications. 1992. p. 1754.
1224:Green, M., John H. Schwarz, and E. Witten.
830:, a branch of mathematics that studies the
552:
4929:
4915:
4116:
4102:
3578:
3564:
3259:
3245:
2214:
1454:
42:
5362:Fellows of the Royal Society of Edinburgh
5312:Members of the French Academy of Sciences
4501:The Event Horizon Telescope Collaboration
2618:
2565:
2529:
2510:
2471:
2416:
2361:
2314:
2259:
2218:Some problems of strong and weak coupling
2171:
2056:
2007:
1145:Witten sits on the board of directors of
1063:Breakthrough Prize in Fundamental Physics
938:at Strings 2001 at TIFR in Mumbai, India
846:, by interpreting the theory in terms of
5262:Fellows of the American Physical Society
2649:
2059:"Proof of the positive mass theorem. II"
2057:Schoen, Robert; Yau, Shing-Tung (1981).
2008:Schoen, Robert; Yau, Shing-Tung (1979).
1421:
1419:
1417:
1211:Superstring Theory. Vol. 1, Introduction
1160:
1095:. Witten was elected as a member of the
1081:(2006). He also appeared in the list of
925:
858:By the mid 1990s, physicists working on
709:Edward Witten (left) with mathematician
704:
3208:MacTutor History of Mathematics Archive
2827:American Academy of Arts & Sciences
2650:Stiftung, Joachim Herz (July 3, 2023).
2189:
1809:
1807:
1676:
625:George McGovern's presidential campaign
557:Witten was born on August 26, 1951, in
14:
5209:
2604:
2292:
2243:
2151:
2108:Communications in Mathematical Physics
2105:
2064:Communications in Mathematical Physics
2015:Communications in Mathematical Physics
1966:Communications in Mathematical Physics
1958:
1872:Communications in Mathematical Physics
1861:
1821:Communications in Mathematical Physics
1813:
1736:
1661:
1646:
1425:
1033:(1990), the Golden Plate Award of the
485:(born August 26, 1951) is an American
4910:
4097:
3559:
3240:
3052:"UW Faculty » Daniela M. Witten"
1414:
1355:
1353:
1351:
1097:American Academy of Arts and Sciences
1045:(2002), Pythagoras Award (2005), the
973:noncommutative quantum field theories
971:, Seiberg and Witten studied certain
523:supersymmetric quantum field theories
5282:Institute for Advanced Study faculty
5272:Foreign members of the Royal Society
3585:
1804:
1598:The International Who's Who: 1992–93
1390:
1388:
1321:
1077:appointed Witten as a member of the
1020:
670:
5327:National Medal of Science laureates
2705:. National Science Foundation. 2003
1315:
24:
3000:
1816:"Topological quantum field theory"
1348:
999:geometric Langlands correspondence
600:(class of 1968), and received his
364:California Institute of Technology
25:
5378:
5292:Kyoto laureates in Basic Sciences
3151:
2190:Rickles, Dean (August 23, 2016).
2154:"Super-symmetry and Morse Theory"
1385:
1330:. New York: Basic Books. p.
948:formulated a result known as the
902:University of Southern California
815:, Witten's proof used ideas from
717:in 1990, where they received the
575:Faegre Drinker Biddle & Reath
5307:American mathematical physicists
5232:Albert Einstein Medal recipients
5227:21st-century American physicists
5222:20th-century American physicists
4964:Monokombu Sambasivan Swaminathan
4077:
4068:
4067:
3158:
3027:"Faculty » Ilana B. Witten"
2215:Witten, E. (March 13–18, 1995).
2192:A Brief History of String Theory
2159:Journal of Differential Geometry
1689:from the original on May 3, 2019
1585:. February 10, 1987. p. 13.
1437:. pp. 31–35. Archived from
1117:
848:supersymmetric quantum mechanics
737:topological quantum field theory
681:International Mathematical Union
531:International Mathematical Union
495:topological quantum field theory
166:Topological quantum field theory
5337:Park School of Baltimore alumni
3121:
3091:
3069:
2994:
2911:
2890:
2865:
2840:
2815:
2790:
2774:. June 21, 2016. Archived from
2764:
2739:
2717:
2691:
2685:American Academy of Achievement
2669:
2598:
2545:
2504:
2449:
2394:
2339:
2237:
2208:
2050:
2001:
1952:
1907:
1855:
1772:
1747:
1730:
1704:
1677:Farmelo, Graham (May 2, 2019).
1670:
1655:
1640:
1615:
1589:
1571:
1554:
1539:
1149:and on the advisory council of
1035:American Academy of Achievement
730:to the mathematical subject of
489:known for his contributions to
5247:Clay Research Award recipients
2404:Journal of High Energy Physics
1579:"Obituary for Lorraine Witten"
1521:
1494:
1457:"On the Work of Edward Witten"
1448:
1428:"On the Work of Edward Witten"
1297:"Announcement of 2016 Winners"
1289:
1105:American Philosophical Society
1079:Pontifical Academy of Sciences
986:, in particular the notion of
27:American theoretical physicist
13:
1:
3223:Mathematics Genealogy Project
2802:American Mathematical Society
2531:10.1090/S0273-0979-96-00625-8
2435:10.1088/1126-6708/1999/09/032
1550:Mathematics Genealogy Project
1282:
1103:in 1988, and a member of the
1093:American Mathematical Society
919:
914:second superstring revolution
774:Reshetikhin–Turaev invariants
5347:Princeton University faculty
4409:Sudbury Neutrino Observatory
2490:10.1016/0550-3213(94)90124-4
2278:10.1016/0550-3213(95)00158-O
1400:Institute for Advanced Study
1138:is a biostatistician at the
1126:, a professor of physics at
1101:National Academy of Sciences
1039:Nemmers Prize in Mathematics
930:Edward Witten (center) with
686:In a written address to the
513:. Witten is a researcher in
507:Institute for Advanced Study
404:Other academic advisors
352:Institute for Advanced Study
7:
5342:Princeton University alumni
4333:Supernova Cosmology Project
1562:"Celia Witten, M.D., Ph.D."
1503:"Edward Witten - Biography"
1122:Witten has been married to
1089:100 most influential people
977:supersymmetric gauge theory
853:
665:
10:
5383:
5287:Jewish American physicists
5242:Brandeis University alumni
2584:10.4310/CNTP.2007.v1.n1.a1
2380:10.4310/ATMP.1998.v2.n2.a2
2333:10.4310/ATMP.1998.V2.N2.A1
1754:Interview by Hirosi Ooguri
1509:. University of St Andrews
1109:University of Pennsylvania
1071:Royal Society of Edinburgh
819:to simplify the argument.
650:. He held a fellowship at
207:Witten–Veneziano mechanism
5357:American string theorists
5352:Scientists from Baltimore
5133:
5062:
4991:
4944:
4572:
4225:
4132:
4063:
3593:
3511:
3282:
1199:. World Scientific, 1985.
1099:in 1984, a member of the
1043:National Medal of Science
988:Seiberg–Witten invariants
874:, and the two flavors of
462:
458:
417:
403:
391:
373:
347:
329:
322:
271:National Medal of Science
230:
222:
212:
175:Topological string theory
150:Hořava–Witten domain wall
134:Seiberg–Witten invariants
117:
82:
53:
41:
34:
3482:Graham Barry Warren
3213:University of St Andrews
2629:10.1088/1751-8121/ab3752
1917:Inventiones Mathematicae
1769:, May 2015, pp. 491–506.
1426:Atiyah, Michael (1990).
1140:University of Washington
1015:BCFW recursion relations
732:low-dimensional topology
598:Park School of Baltimore
553:Early life and education
191:Hanany–Witten transition
138:Wess–Zumino–Witten model
4827:Shankar Balasubramanian
4563:Alexander Zamolodchikov
4495:Peter van Nieuwenhuizen
3133:Americans for Peace Now
2152:Witten, Edward (1982).
1959:Witten, Edward (1981).
1862:Witten, Edward (1989).
1814:Witten, Edward (1988),
1759:March 29, 2017, at the
1583:The Cincinnati Enquirer
1147:Americans for Peace Now
1003:Sachdev–Ye–Kitaev model
969:noncommutative geometry
840:differentiable function
838:using the concept of a
781:positive energy theorem
770:mathematically rigorous
675:Witten was awarded the
535:positive energy theorem
497:, and various areas of
203:Positive energy theorem
146:Gromov–Witten invariant
142:Weinberg–Witten theorem
4841:Clifford P. Brangwynne
4674:Emmanuelle Charpentier
3498:Robert Williamson
3493:Peter M. Williams
3414:John G. McWhirter
2980:scientificamerican.com
2173:10.4310/jdg/1214437492
1785:. 2011. Archived from
1623:"Edward Witten (1951)"
1278:, 81–06 (81T30 81Txx).
963:In collaboration with
954:quantum field theories
950:AdS/CFT correspondence
939:
721:
701:
632:University of Michigan
251:Alan T. Waterman Award
5332:Lorentz Medal winners
5005:Albrecht Fleckenstein
4345:High-Z Supernova Team
3439:John G. Shepherd
3326:John Brian Clegg
3192:Publications on ArXiv
2656:Joachim Herz Stiftung
1161:Selected publications
929:
766:Feynman path integral
708:
696:
583:theoretical physicist
487:theoretical physicist
315:Albert Einstein Award
301:Breakthrough Prize in
261:Dannie Heineman Prize
241:Albert Einstein Medal
195:Twistor string theory
126:Seiberg–Witten theory
5189:Jean-Pierre Changeux
4784:Virginia Man-Yee Lee
4648:Alexander Varshavsky
4467:Jocelyn Bell Burnell
4365:and contributors to
3455:Alfred G. Sykes
3393:John Paul Maier
3387:Peter L. Knight
3199:Robertson, Edmund F.
2982:. September 22, 2014
2935:on September 1, 2006
2877:search.amphilsoc.org
2873:"APS Member History"
1322:Woit, Peter (2006).
1171:Princeton University
1128:Princeton University
1047:Henri Poincaré Prize
895:theory of everything
728:quantum field theory
660:MacArthur Foundation
640:Princeton University
630:Witten attended the
596:Witten attended the
368:Princeton University
338:Mathematical physics
281:Henri Poincaré Prize
236:MacArthur Fellowship
187:Witten zeta function
100:Princeton University
4768:Jeffrey M. Friedman
4658:Charles David Allis
4343:and members of the
4331:and members of the
3529:G. Ledyard Stebbins
3466:John F. Toland
3449:James Stirling
3315:Ian Carmichael
3232:, November 28, 2017
3197:O'Connor, John J.;
2681:www.achievement.org
2576:2007CNTP....1....1K
2512:Donaldson, Simon K.
2482:1994NuPhB.426...19S
2427:1999JHEP...09..032S
2372:1998AdTMP...2..253W
2325:1998AdTMP...2..231M
2270:1995NuPhB.443...85W
2120:1985CMaPh.100..471P
2077:1981CMaPh..79..231S
2028:1979CMaPh..65...45S
1979:1981CMaPh..80..381W
1930:1991InMat.103..547R
1885:1989CMaPh.121..351W
1834:1988CMaPh.117..353W
1792:on February 4, 2012
1737:Witten, E. (1976).
1718:. February 24, 2022
1535:. October 20, 2020.
817:supergravity theory
813:variational methods
801:gravitational field
754:Chern–Simons theory
662:fellowship (1982).
654:(1976–77), visited
636:applied mathematics
606:Brandeis University
334:Theoretical physics
305:Fundamental Physics
199:Chern–Simons theory
154:Vafa–Witten theorem
90:Brandeis University
5171:Ewine van Dishoeck
5047:Charles R. Goldman
5041:Jean-Marie Ghuysen
5011:Raymond U. Lemieux
4861:Masashi Yanagisawa
4772:Franz-Ulrich Hartl
4702:Stephen J. Elledge
4654:Alim Louis Benabid
4541:Charles H. Bennett
4491:Daniel Z. Freedman
4441:Charles L. Bennett
4405:Arthur B. McDonald
4393:KĹŤichirĹŤ Nishikawa
4323:John Henry Schwarz
4313:Alexander Polyakov
4291:Michel Della Negra
4210:Daniel A. Spielman
4125:Breakthrough Prize
4083:Mathematics portal
3352:Athene Donald
3135:. February 8, 2005
3077:"Advisory Council"
2921:(April 26, 2004).
2128:10.1007/BF01217725
2085:10.1007/BF01942062
2036:10.1007/BF01940959
1987:10.1007/BF01208277
1938:10.1007/BF01239527
1893:10.1007/BF01217730
1842:10.1007/BF01223371
1402:. December 9, 2019
1373:on August 23, 2016
1155:two-state solution
1153:. He supports the
1059:Isaac Newton Medal
940:
844:Morse inequalities
785:general relativity
768:and therefore not
742:expectation values
722:
713:, probably at the
652:Harvard University
591:general relativity
539:general relativity
356:Harvard University
342:Superstring theory
296:Isaac Newton Medal
130:Seiberg–Witten map
5302:MacArthur Fellows
5204:
5203:
5094:Ralph J. Cicerone
5029:Herbert H. Jasper
4976:Margaret Burbidge
4904:
4903:
4883:Fredrick Van Goor
4776:Arthur L. Horwich
4750:Adrian R. Krainer
4644:Richard P. Lifton
4602:Napoleone Ferrara
4582:Cornelia Bargmann
4431:Andrew Strominger
4427:Joseph Polchinski
4237:Nima Arkani-Hamed
4186:Vincent Lafforgue
4176:Christopher Hacon
4091:
4090:
3553:
3552:
3519:Robert Huber
3503:Magdi Yacoub
2919:Lemonick, Michael
2852:www.nasonline.org
2747:"Current Fellows"
2735:on July 22, 2011.
2459:Nuclear Physics B
2247:Nuclear Physics B
2201:978-3-662-50183-2
1608:978-0-946653-84-3
1444:on March 1, 2017.
1268:David R. Morrison
1234:978-0-521-35753-1
1219:978-0-521-35752-4
1209:, and E. Witten.
1191:, Edward Witten,
1075:Pope Benedict XVI
1021:Awards and honors
671:Fields medal work
656:Oxford University
543:Feynman integrals
480:
479:
418:Doctoral students
360:Oxford University
324:Scientific career
183:Witten conjecture
170:Witten-type TQFTs
16:(Redirected from
5374:
5267:Fields Medalists
5124:John T. Houghton
5082:Daniel H. Janzen
5023:Sherwood Rowland
4952:Ricardo Bressani
4931:
4924:
4917:
4908:
4907:
4895:Andrew Singleton
4845:Anthony A. Hyman
4815:Jeffery W. Kelly
4810:
4802:Richard J. Youle
4746:C. Frank Bennett
4740:Don W. Cleveland
4714:Yoshinori Ohsumi
4640:Robert S. Langer
4628:James P. Allison
4590:Lewis C. Cantley
4531:Hidetoshi Katori
4511:Jens H. Gundlach
4421:Super-Kamiokande
4303:Joseph Incandela
4287:Fabiola Gianotti
4249:Maxim Kontsevich
4204:Takuro Mochizuki
4146:Maxim Kontsevich
4118:
4111:
4104:
4095:
4094:
4081:
4071:
4070:
3587:Fields Medalists
3580:
3573:
3566:
3557:
3556:
3476:Alan Walker
3409:Ernest McCulloch
3404:Iain Mattaj
3290:Frances Ashcroft
3261:
3254:
3247:
3238:
3237:
3215:
3162:
3161:
3145:
3144:
3142:
3140:
3125:
3119:
3118:
3116:
3114:
3095:
3089:
3088:
3086:
3084:
3079:. J Street. 2016
3073:
3067:
3066:
3064:
3062:
3048:
3042:
3041:
3039:
3037:
3023:
3017:
3016:
3014:
3012:
3007:
2998:
2992:
2991:
2989:
2987:
2944:
2942:
2940:
2931:. Archived from
2915:
2909:
2908:
2906:
2904:
2894:
2888:
2887:
2885:
2883:
2869:
2863:
2862:
2860:
2858:
2844:
2838:
2837:
2835:
2833:
2819:
2813:
2812:
2810:
2808:
2794:
2788:
2787:
2785:
2783:
2778:on March 9, 2016
2768:
2762:
2761:
2759:
2757:
2751:royalsociety.org
2743:
2737:
2736:
2721:
2715:
2714:
2712:
2710:
2695:
2689:
2688:
2673:
2667:
2666:
2664:
2662:
2647:
2641:
2640:
2622:
2602:
2596:
2595:
2569:
2549:
2543:
2542:
2533:
2508:
2502:
2501:
2475:
2453:
2447:
2446:
2420:
2398:
2392:
2391:
2365:
2343:
2337:
2336:
2318:
2296:
2290:
2289:
2263:
2241:
2235:
2234:
2232:
2230:
2212:
2206:
2205:
2187:
2178:
2177:
2175:
2149:
2140:
2139:
2103:
2097:
2096:
2054:
2048:
2047:
2005:
1999:
1998:
1956:
1950:
1949:
1911:
1905:
1904:
1868:
1859:
1853:
1852:
1811:
1802:
1801:
1799:
1797:
1791:
1784:
1776:
1770:
1751:
1745:
1744:
1734:
1728:
1727:
1725:
1723:
1708:
1702:
1698:
1696:
1694:
1674:
1668:
1667:
1659:
1653:
1652:
1649:The New Republic
1644:
1638:
1637:
1635:
1633:
1619:
1613:
1612:
1593:
1587:
1586:
1575:
1569:
1568:
1558:
1552:
1543:
1537:
1536:
1525:
1519:
1518:
1516:
1514:
1498:
1492:
1491:Duff 1998, p. 65
1489:
1483:
1482:
1480:
1478:
1473:on March 1, 2017
1472:
1466:. Archived from
1461:
1455:Michael Atiyah.
1452:
1446:
1445:
1443:
1432:
1423:
1412:
1411:
1409:
1407:
1392:
1383:
1382:
1380:
1378:
1372:
1366:. Archived from
1365:
1357:
1346:
1345:
1329:
1319:
1313:
1312:
1310:
1308:
1293:
956:and theories of
876:heterotic string
795:is that of flat
694:said of Witten:
614:The New Republic
602:Bachelor of Arts
585:specializing in
503:natural sciences
476:
473:
471:
469:
393:Doctoral advisor
387:
318:
246:ICTP Dirac Medal
67:
63:
61:
46:
32:
31:
21:
5382:
5381:
5377:
5376:
5375:
5373:
5372:
5371:
5277:Harvard Fellows
5207:
5206:
5205:
5200:
5153:Michael Grätzel
5129:
5112:Fraser Stoddart
5076:Niels Birbaumer
5058:
5053:Robert Weinberg
4987:
4940:
4935:
4905:
4900:
4891:Ellen Sidransky
4871:Michel Sadelain
4857:Emmanuel Mignot
4831:David Klenerman
4804:
4794:Catherine Dulac
4706:Harry F. Noller
4684:Karl Deisseroth
4670:Jennifer Doudna
4636:Michael N. Hall
4622:Bert Vogelstein
4618:Shinya Yamanaka
4614:Robert Weinberg
4610:Charles Sawyers
4568:
4545:Gilles Brassard
4525:Steven Weinberg
4507:Eric Adelberger
4417:YĹŤichirĹŤ Suzuki
4329:Saul Perlmutter
4295:Tejinder Virdee
4279:Stephen Hawking
4228:
4221:
4142:Simon Donaldson
4128:
4122:
4092:
4087:
4059:
4058:
4055:
4028:
4001:
3974:
3947:
3920:
3903:
3876:
3849:
3822:
3800:
3778:
3751:
3734:
3707:
3680:
3663:
3646:
3629:
3612:
3589:
3584:
3554:
3549:
3507:
3320:Lorna Casselton
3300:Rosa Beddington
3295:Anthony Barrett
3278:
3265:
3230:Quanta Magazine
3203:"Edward Witten"
3187:Faculty webpage
3183:
3182:
3181:
3163:
3159:
3154:
3149:
3148:
3138:
3136:
3127:
3126:
3122:
3112:
3110:
3096:
3092:
3082:
3080:
3075:
3074:
3070:
3060:
3058:
3050:
3049:
3045:
3035:
3033:
3025:
3024:
3020:
3010:
3008:
3005:
2999:
2995:
2985:
2983:
2974:
2971:Steven Weinberg
2951:Stephen Hawking
2938:
2936:
2923:"Edward Witten"
2916:
2912:
2902:
2900:
2896:
2895:
2891:
2881:
2879:
2871:
2870:
2866:
2856:
2854:
2848:"Edward Witten"
2846:
2845:
2841:
2831:
2829:
2823:"Edward Witten"
2821:
2820:
2816:
2806:
2804:
2796:
2795:
2791:
2781:
2779:
2770:
2769:
2765:
2755:
2753:
2745:
2744:
2740:
2723:
2722:
2718:
2708:
2706:
2697:
2696:
2692:
2675:
2674:
2670:
2660:
2658:
2648:
2644:
2603:
2599:
2550:
2546:
2509:
2505:
2454:
2450:
2399:
2395:
2344:
2340:
2297:
2293:
2242:
2238:
2228:
2226:
2223:physics.usc.edu
2213:
2209:
2202:
2188:
2181:
2150:
2143:
2104:
2100:
2055:
2051:
2006:
2002:
1957:
1953:
1912:
1908:
1866:
1860:
1856:
1812:
1805:
1795:
1793:
1789:
1782:
1780:"Edward Witten"
1778:
1777:
1773:
1761:Wayback Machine
1752:
1748:
1735:
1731:
1721:
1719:
1712:"Edward Witten"
1710:
1709:
1705:
1692:
1690:
1675:
1671:
1660:
1656:
1645:
1641:
1631:
1629:
1621:
1620:
1616:
1609:
1595:
1594:
1590:
1577:
1576:
1572:
1560:
1559:
1555:
1544:
1540:
1533:Brandeis Center
1527:
1526:
1522:
1512:
1510:
1499:
1495:
1490:
1486:
1476:
1474:
1470:
1459:
1453:
1449:
1441:
1430:
1424:
1415:
1405:
1403:
1396:"Edward Witten"
1394:
1393:
1386:
1376:
1374:
1370:
1363:
1359:
1358:
1349:
1342:
1320:
1316:
1306:
1304:
1303:on June 7, 2016
1295:
1294:
1290:
1285:
1256:Lisa C. Jeffrey
1252:Daniel S. Freed
1207:John H. Schwarz
1163:
1132:Ilana B. Witten
1120:
1061:(2010) and the
1027:MacArthur Grant
1023:
958:quantum gravity
942:
941:
936:Stephen Hawking
922:
891:
887:
856:
797:Minkowski space
724:
723:
673:
668:
555:
519:quantum gravity
466:
450:
447:Eva Silverstein
445:
440:
435:
430:
425:
422:Jonathan Bagger
410:
385:
366:
362:
358:
354:
340:
336:
313:
308:
303:
299:
294:
289:
284:
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177:
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164:
160:
156:
152:
148:
144:
140:
136:
132:
128:
124:
113:
78:
68:
65:
64:August 26, 1951
59:
57:
49:
37:
28:
23:
22:
15:
12:
11:
5:
5380:
5370:
5369:
5364:
5359:
5354:
5349:
5344:
5339:
5334:
5329:
5324:
5319:
5314:
5309:
5304:
5299:
5294:
5289:
5284:
5279:
5274:
5269:
5264:
5259:
5254:
5249:
5244:
5239:
5234:
5229:
5224:
5219:
5202:
5201:
5199:
5198:
5195:Zhong Lin Wang
5192:
5186:
5180:
5174:
5168:
5162:
5156:
5150:
5144:
5141:Julio Montaner
5137:
5135:
5131:
5130:
5128:
5127:
5121:
5115:
5109:
5103:
5097:
5091:
5085:
5079:
5073:
5066:
5064:
5060:
5059:
5057:
5056:
5050:
5044:
5038:
5032:
5026:
5020:
5014:
5008:
5002:
4995:
4993:
4989:
4988:
4986:
4985:
4979:
4973:
4967:
4961:
4955:
4948:
4946:
4942:
4941:
4934:
4933:
4926:
4919:
4911:
4902:
4901:
4899:
4898:
4879:Paul Negulescu
4864:
4849:Demis Hassabis
4838:
4819:Katalin KarikĂł
4812:
4787:
4765:
4758:Xiaowei Zhuang
4743:
4732:Kazutoshi Mori
4721:
4699:
4677:
4651:
4625:
4598:Titia de Lange
4586:David Botstein
4578:
4576:
4570:
4569:
4567:
4566:
4556:
4538:
4528:
4518:
4504:
4498:
4487:Sergio Ferrara
4480:
4470:
4460:
4453:Lyman Page Jr.
4449:Norman Jarosik
4438:
4424:
4413:Takaaki Kajita
4370:
4369:project (2016)
4348:
4326:
4316:
4310:
4272:
4261:Nathan Seiberg
4257:Juan Maldacena
4233:
4231:
4223:
4222:
4220:
4219:
4213:
4207:
4201:
4195:
4189:
4183:
4180:James McKernan
4173:
4167:
4161:
4158:Richard Taylor
4138:
4136:
4130:
4129:
4121:
4120:
4113:
4106:
4098:
4089:
4088:
4086:
4085:
4075:
4064:
4061:
4060:
4057:
4056:
4054:
4053:
4048:
4043:
4038:
4031:
4029:
4027:
4026:
4021:
4016:
4011:
4004:
4002:
4000:
3999:
3994:
3989:
3984:
3977:
3975:
3973:
3972:
3967:
3962:
3957:
3950:
3948:
3946:
3945:
3940:
3935:
3930:
3923:
3921:
3919:
3918:
3913:
3906:
3904:
3902:
3901:
3896:
3891:
3886:
3879:
3877:
3875:
3874:
3869:
3864:
3859:
3852:
3850:
3848:
3847:
3842:
3837:
3832:
3825:
3823:
3821:
3820:
3815:
3810:
3803:
3801:
3799:
3798:
3793:
3788:
3781:
3779:
3777:
3776:
3771:
3766:
3761:
3754:
3752:
3750:
3749:
3744:
3737:
3735:
3733:
3732:
3727:
3722:
3717:
3710:
3708:
3706:
3705:
3700:
3695:
3690:
3683:
3681:
3679:
3678:
3673:
3666:
3664:
3662:
3661:
3656:
3649:
3647:
3645:
3644:
3639:
3632:
3630:
3628:
3627:
3622:
3615:
3613:
3611:
3610:
3605:
3598:
3595:
3594:
3591:
3590:
3583:
3582:
3575:
3568:
3560:
3551:
3550:
3548:
3547:
3542:
3536:
3531:
3526:
3524:Marc Kirschner
3521:
3515:
3513:
3509:
3508:
3506:
3505:
3500:
3495:
3490:
3485:
3478:
3473:
3468:
3463:
3461:Janet Thornton
3458:
3451:
3446:
3441:
3436:
3434:Dolph Schluter
3431:
3426:
3421:
3416:
3411:
3406:
3401:
3399:Barry Marshall
3396:
3389:
3384:
3379:
3374:
3372:Timothy Gowers
3369:
3364:
3362:Douglas Fearon
3359:
3357:Philip England
3354:
3349:
3344:
3339:
3334:
3332:David Cockayne
3329:
3322:
3317:
3312:
3310:Simon Campbell
3307:
3302:
3297:
3292:
3286:
3284:
3280:
3279:
3264:
3263:
3256:
3249:
3241:
3235:
3234:
3225:
3216:
3194:
3189:
3164:
3157:
3156:
3155:
3153:
3152:External links
3150:
3147:
3146:
3120:
3090:
3068:
3056:washington.edu
3043:
3018:
2993:
2955:Michael Turner
2910:
2889:
2864:
2839:
2814:
2789:
2763:
2738:
2716:
2690:
2668:
2642:
2613:(47): 474002.
2597:
2567:hep-th/0604151
2544:
2503:
2473:hep-th/9407087
2448:
2418:hep-th/9908142
2393:
2363:hep-th/9802150
2356:(2): 253–291.
2338:
2316:hep-th/9711200
2309:(2): 231–252.
2291:
2261:hep-th/9503124
2236:
2207:
2200:
2179:
2166:(4): 661–692.
2141:
2114:(4): 471–480.
2098:
2049:
2000:
1973:(3): 381–402.
1951:
1924:(1): 547–597.
1906:
1879:(3): 351–399.
1854:
1828:(3): 353–386,
1803:
1771:
1746:
1729:
1703:
1683:Graham Farmelo
1669:
1654:
1639:
1614:
1607:
1588:
1570:
1553:
1538:
1520:
1493:
1484:
1447:
1413:
1384:
1347:
1340:
1314:
1287:
1286:
1284:
1281:
1280:
1279:
1264:John W. Morgan
1244:Pierre Deligne
1237:
1222:
1200:
1189:Sam B. Treiman
1178:
1162:
1159:
1136:Daniela Witten
1119:
1116:
1051:Crafoord Prize
1022:
1019:
995:Anton Kapustin
965:Nathan Seiberg
946:Juan Maldacena
924:
923:
921:
918:
889:
885:
855:
852:
809:Shing-Tung Yau
805:Richard Schoen
711:Shigefumi Mori
703:
702:
692:Michael Atiyah
672:
669:
667:
664:
554:
551:
478:
477:
464:
460:
459:
456:
455:
437:Dror Bar-Natan
419:
415:
414:
412:Michael Atiyah
408:Sidney Coleman
405:
401:
400:
395:
389:
388:
377:
371:
370:
349:
345:
344:
331:
327:
326:
320:
319:
286:Crafoord Prize
232:
228:
227:
224:
220:
219:
214:
210:
209:
162:BCFW recursion
119:
118:Known for
115:
114:
112:
111:
97:
86:
84:
80:
79:
69:
55:
51:
50:
48:Witten in 2008
47:
39:
38:
35:
26:
9:
6:
4:
3:
2:
5379:
5368:
5365:
5363:
5360:
5358:
5355:
5353:
5350:
5348:
5345:
5343:
5340:
5338:
5335:
5333:
5330:
5328:
5325:
5323:
5320:
5318:
5315:
5313:
5310:
5308:
5305:
5303:
5300:
5298:
5297:Living people
5295:
5293:
5290:
5288:
5285:
5283:
5280:
5278:
5275:
5273:
5270:
5268:
5265:
5263:
5260:
5258:
5255:
5253:
5250:
5248:
5245:
5243:
5240:
5238:
5235:
5233:
5230:
5228:
5225:
5223:
5220:
5218:
5215:
5214:
5212:
5196:
5193:
5190:
5187:
5184:
5183:Omar M. Yaghi
5181:
5178:
5177:Edward Witten
5175:
5172:
5169:
5166:
5163:
5160:
5157:
5154:
5151:
5148:
5147:Geoffrey Ozin
5145:
5142:
5139:
5138:
5136:
5132:
5125:
5122:
5119:
5116:
5113:
5110:
5107:
5104:
5101:
5100:John Hopfield
5098:
5095:
5092:
5089:
5086:
5083:
5080:
5077:
5074:
5071:
5068:
5067:
5065:
5061:
5054:
5051:
5048:
5045:
5042:
5039:
5036:
5035:Alec Jeffreys
5033:
5030:
5027:
5024:
5021:
5018:
5015:
5012:
5009:
5006:
5003:
5000:
4999:Gustav Nossal
4997:
4996:
4994:
4990:
4983:
4980:
4977:
4974:
4971:
4968:
4965:
4962:
4959:
4956:
4953:
4950:
4949:
4947:
4943:
4939:
4932:
4927:
4925:
4920:
4918:
4913:
4912:
4909:
4896:
4892:
4888:
4887:Thomas Gasser
4884:
4880:
4876:
4875:Sabine Hadida
4872:
4868:
4865:
4862:
4858:
4854:
4850:
4846:
4842:
4839:
4836:
4832:
4828:
4824:
4823:Drew Weissman
4820:
4816:
4813:
4808:
4803:
4799:
4795:
4791:
4788:
4785:
4781:
4777:
4773:
4769:
4766:
4763:
4759:
4755:
4754:Angelika Amon
4751:
4747:
4744:
4741:
4737:
4733:
4729:
4725:
4722:
4719:
4715:
4711:
4710:Roeland Nusse
4707:
4703:
4700:
4697:
4693:
4689:
4685:
4681:
4680:Edward Boyden
4678:
4675:
4671:
4667:
4663:
4662:Victor Ambros
4659:
4655:
4652:
4649:
4645:
4641:
4637:
4633:
4632:Mahlon DeLong
4629:
4626:
4623:
4619:
4615:
4611:
4607:
4603:
4599:
4595:
4591:
4587:
4583:
4580:
4579:
4577:
4575:
4574:Life sciences
4571:
4564:
4560:
4557:
4554:
4553:Peter W. Shor
4550:
4549:David Deutsch
4546:
4542:
4539:
4536:
4532:
4529:
4526:
4522:
4519:
4516:
4515:Blayne Heckel
4512:
4508:
4505:
4502:
4499:
4496:
4492:
4488:
4484:
4481:
4478:
4474:
4471:
4468:
4464:
4461:
4458:
4457:David Spergel
4454:
4450:
4446:
4442:
4439:
4436:
4432:
4428:
4425:
4422:
4418:
4414:
4410:
4406:
4402:
4398:
4394:
4390:
4386:
4385:Atsuto Suzuki
4382:
4381:Daya Bay team
4378:
4374:
4371:
4368:
4364:
4360:
4356:
4355:Ronald Drever
4352:
4349:
4346:
4342:
4338:
4337:Brian Schmidt
4334:
4330:
4327:
4324:
4320:
4319:Michael Green
4317:
4314:
4311:
4308:
4304:
4300:
4299:Guido Tonelli
4296:
4292:
4288:
4284:
4280:
4276:
4273:
4270:
4269:Edward Witten
4266:
4262:
4258:
4254:
4250:
4246:
4245:Alexei Kitaev
4242:
4238:
4235:
4234:
4232:
4230:
4224:
4217:
4216:Simon Brendle
4214:
4211:
4208:
4205:
4202:
4199:
4198:Martin Hairer
4196:
4193:
4190:
4187:
4184:
4181:
4177:
4174:
4171:
4170:Jean Bourgain
4168:
4165:
4162:
4159:
4155:
4151:
4147:
4143:
4140:
4139:
4137:
4135:
4131:
4126:
4119:
4114:
4112:
4107:
4105:
4100:
4099:
4096:
4084:
4080:
4076:
4074:
4066:
4065:
4062:
4052:
4049:
4047:
4044:
4042:
4039:
4037:
4036:Duminil-Copin
4033:
4032:
4030:
4025:
4022:
4020:
4017:
4015:
4012:
4010:
4006:
4005:
4003:
3998:
3995:
3993:
3990:
3988:
3985:
3983:
3979:
3978:
3976:
3971:
3968:
3966:
3963:
3961:
3958:
3956:
3955:Lindenstrauss
3952:
3951:
3949:
3944:
3941:
3939:
3936:
3934:
3931:
3929:
3925:
3924:
3922:
3917:
3914:
3912:
3908:
3907:
3905:
3900:
3897:
3895:
3892:
3890:
3887:
3885:
3881:
3880:
3878:
3873:
3870:
3868:
3865:
3863:
3860:
3858:
3854:
3853:
3851:
3846:
3843:
3841:
3838:
3836:
3833:
3831:
3827:
3826:
3824:
3819:
3816:
3814:
3811:
3809:
3805:
3804:
3802:
3797:
3794:
3792:
3789:
3787:
3783:
3782:
3780:
3775:
3772:
3770:
3767:
3765:
3762:
3760:
3756:
3755:
3753:
3748:
3745:
3743:
3739:
3738:
3736:
3731:
3728:
3726:
3723:
3721:
3718:
3716:
3712:
3711:
3709:
3704:
3701:
3699:
3696:
3694:
3691:
3689:
3685:
3684:
3682:
3677:
3674:
3672:
3668:
3667:
3665:
3660:
3657:
3655:
3651:
3650:
3648:
3643:
3640:
3638:
3634:
3633:
3631:
3626:
3623:
3621:
3617:
3616:
3614:
3609:
3606:
3604:
3600:
3599:
3597:
3596:
3592:
3588:
3581:
3576:
3574:
3569:
3567:
3562:
3561:
3558:
3546:
3543:
3540:
3539:Edward Witten
3537:
3535:
3534:Gilbert Stork
3532:
3530:
3527:
3525:
3522:
3520:
3517:
3516:
3514:
3510:
3504:
3501:
3499:
3496:
3494:
3491:
3489:
3486:
3484:
3483:
3479:
3477:
3474:
3472:
3471:Tony Trewavas
3469:
3467:
3464:
3462:
3459:
3457:
3456:
3452:
3450:
3447:
3445:
3442:
3440:
3437:
3435:
3432:
3430:
3427:
3425:
3424:John Ockendon
3422:
3420:
3417:
3415:
3412:
3410:
3407:
3405:
3402:
3400:
3397:
3395:
3394:
3390:
3388:
3385:
3383:
3380:
3378:
3375:
3373:
3370:
3368:
3365:
3363:
3360:
3358:
3355:
3353:
3350:
3348:
3347:Raymond Dixon
3345:
3343:
3340:
3338:
3335:
3333:
3330:
3328:
3327:
3323:
3321:
3318:
3316:
3313:
3311:
3308:
3306:
3303:
3301:
3298:
3296:
3293:
3291:
3288:
3287:
3285:
3281:
3277:
3273:
3272:Royal Society
3269:
3262:
3257:
3255:
3250:
3248:
3243:
3242:
3239:
3233:
3231:
3226:
3224:
3220:
3219:Edward Witten
3217:
3214:
3210:
3209:
3204:
3200:
3195:
3193:
3190:
3188:
3185:
3184:
3179:
3178:
3177:
3176:Edward Witten
3171:
3167:
3134:
3130:
3124:
3109:
3105:
3101:
3094:
3078:
3072:
3057:
3053:
3047:
3032:
3031:princeton.edu
3028:
3022:
3004:
2997:
2981:
2977:
2972:
2968:
2964:
2960:
2959:James Peebles
2956:
2952:
2948:
2934:
2930:
2929:
2924:
2920:
2914:
2899:
2893:
2878:
2874:
2868:
2853:
2849:
2843:
2828:
2824:
2818:
2803:
2799:
2793:
2777:
2773:
2767:
2752:
2748:
2742:
2734:
2730:
2726:
2720:
2704:
2700:
2694:
2686:
2682:
2678:
2672:
2657:
2653:
2646:
2638:
2634:
2630:
2626:
2621:
2616:
2612:
2608:
2601:
2593:
2589:
2585:
2581:
2577:
2573:
2568:
2563:
2559:
2555:
2548:
2541:
2537:
2532:
2527:
2523:
2519:
2518:
2513:
2507:
2499:
2495:
2491:
2487:
2483:
2479:
2474:
2469:
2465:
2461:
2460:
2452:
2444:
2440:
2436:
2432:
2428:
2424:
2419:
2414:
2410:
2406:
2405:
2397:
2389:
2385:
2381:
2377:
2373:
2369:
2364:
2359:
2355:
2351:
2350:
2342:
2334:
2330:
2326:
2322:
2317:
2312:
2308:
2304:
2303:
2295:
2287:
2283:
2279:
2275:
2271:
2267:
2262:
2257:
2254:(1): 85–126.
2253:
2249:
2248:
2240:
2224:
2220:
2219:
2211:
2203:
2197:
2193:
2186:
2184:
2174:
2169:
2165:
2161:
2160:
2155:
2148:
2146:
2137:
2133:
2129:
2125:
2121:
2117:
2113:
2109:
2102:
2094:
2090:
2086:
2082:
2078:
2074:
2070:
2066:
2065:
2060:
2053:
2045:
2041:
2037:
2033:
2029:
2025:
2021:
2017:
2016:
2011:
2004:
1996:
1992:
1988:
1984:
1980:
1976:
1972:
1968:
1967:
1962:
1955:
1947:
1943:
1939:
1935:
1931:
1927:
1923:
1919:
1918:
1910:
1902:
1898:
1894:
1890:
1886:
1882:
1878:
1874:
1873:
1865:
1858:
1851:
1847:
1843:
1839:
1835:
1831:
1827:
1823:
1822:
1817:
1810:
1808:
1788:
1781:
1775:
1768:
1767:
1762:
1758:
1755:
1750:
1742:
1741:
1733:
1717:
1713:
1707:
1701:
1688:
1684:
1680:
1673:
1665:
1658:
1650:
1643:
1628:
1624:
1618:
1610:
1604:
1600:
1599:
1592:
1584:
1580:
1574:
1566:
1563:
1557:
1551:
1547:
1542:
1534:
1530:
1524:
1508:
1507:Maths History
1504:
1497:
1488:
1469:
1465:
1464:Mathunion.org
1458:
1451:
1440:
1436:
1429:
1422:
1420:
1418:
1401:
1397:
1391:
1389:
1369:
1362:
1356:
1354:
1352:
1343:
1341:0-465-09275-6
1337:
1333:
1328:
1327:
1318:
1302:
1298:
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1276:0-8218-1198-3
1273:
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1260:David Kazhdan
1257:
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491:string theory
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483:Edward Witten
475:
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438:
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4958:Werner Stumm
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4762:Zhijian Chen
4728:Peter Walter
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4696:Svante Pääbo
4594:Hans Clevers
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4462:
4445:Gary Hinshaw
4363:Rainer Weiss
4350:
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4274:
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3844:
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3538:
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3342:Derek Denton
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1301:the original
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1193:Bruno Zumino
1181:Roman Jackiw
1175:Dissertation
1166:
1144:
1124:Chiara Nappi
1121:
1113:
1082:
1053:(2008), the
1049:(2006), the
1041:(2000), the
1037:(1997), the
1031:Fields Medal
1029:(1982), the
1024:
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943:
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828:Morse theory
821:
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725:
719:Fields Medal
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674:
629:
618:
612:
610:
595:
579:Louis Witten
556:
527:Fields Medal
482:
481:
452:Sergei Gukov
379:
348:Institutions
323:
276:Harvey Prize
256:Fields Medal
217:Chiara Nappi
158:Witten index
29:
5217:1951 births
5088:Martin Rees
4970:Hugh Huxley
4853:John Jumper
4805: [
4790:David Baker
4736:Kim Nasmyth
4718:Huda Zoghbi
4692:Helen Hobbs
4666:Gary Ruvkun
4606:Eric Lander
4477:Eugene Mele
4435:Cumrun Vafa
4423:team (2016)
4377:Kam-Biu Luk
4373:Yifang Wang
4283:Peter Jenni
4227:Fundamental
4154:Terence Tao
4150:Jacob Lurie
4134:Mathematics
4034:2022
4007:2018
3980:2014
3953:2010
3926:2006
3909:2002
3882:1998
3855:1994
3828:1990
3806:1986
3784:1982
3757:1978
3740:1974
3713:1970
3686:1966
3669:1962
3652:1958
3635:1954
3618:1950
3601:1936
3444:Joseph Silk
3419:John Mollon
3337:David Delpy
3113:February 1,
3083:October 14,
3011:January 28,
2986:October 14,
2947:John Horgan
2939:November 1,
2807:February 1,
2756:February 1,
2709:February 1,
2703:www.nsf.gov
2229:February 1,
1716:www.aip.org
1627:www.nsf.gov
1513:February 1,
1377:October 30,
1185:David Gross
1087:magazine's
1057:(2010) the
1011:Ruth Britto
984:4-manifolds
932:David Gross
762:3-manifolds
648:David Gross
587:gravitation
571:Matt Witten
499:mathematics
427:Cumrun Vafa
398:David Gross
310:Kyoto Prize
5211:Categories
5159:Paul Nurse
5118:Ada Yonath
4688:John Hardy
4559:John Cardy
4359:Kip Thorne
4341:Adam Riess
4305:(CMS) and
4265:Ashoke Sen
4192:Alex Eskin
3997:Mirzakhani
3894:Kontsevich
2620:1610.09758
2520:, (N.S.),
2411:(9): 032.
2071:(2): 231.
1693:August 25,
1664:The Nation
1632:August 25,
1283:References
920:Other work
620:The Nation
60:1951-08-26
5017:Ali Javan
4867:Carl June
4798:Dennis Lo
4307:Lyn Evans
4289:(ATLAS),
4241:Alan Guth
4127:laureates
4051:Viazovska
4024:Venkatesh
3916:Voevodsky
3911:Lafforgue
3884:Borcherds
3808:Donaldson
3764:Fefferman
3671:Hörmander
3382:Alan Hall
3377:Ron Grigg
3108:0028-7504
2963:Alan Guth
2882:March 21,
2772:"Fellows"
2637:118412962
2560:: 1–236.
2136:0010-3616
2022:(1): 45.
1946:123376541
1796:April 13,
1477:March 31,
1203:Green, M.
1173:, 1976. (
910:dualities
836:manifolds
793:spacetime
750:spacetime
683:in 1990.
608:in 1971.
559:Baltimore
511:Princeton
179:CSW rules
83:Education
71:Baltimore
18:Ed Witten
4419:and the
4407:and the
4395:and the
4387:and the
4379:and the
4164:Ian Agol
4073:Category
3987:Bhargava
3933:Perelman
3928:Okounkov
3899:McMullen
3872:Zelmanov
3857:Bourgain
3830:Drinfeld
3818:Freedman
3813:Faltings
3791:Thurston
3769:Margulis
3742:Bombieri
3730:Thompson
3720:Hironaka
3620:Schwartz
3274:elected
3139:April 5,
2782:March 8,
2592:30505126
2498:14361074
2388:10882387
2286:16790997
2093:59473203
2044:54217085
1901:14951363
1850:43230714
1757:Archived
1722:June 21,
1687:Archived
1406:July 14,
1151:J Street
906:M-theory
878:theory (
872:type IIB
868:type IIA
854:M-theory
832:topology
746:topology
666:Research
563:Maryland
547:M-theory
223:Children
122:M-theory
75:Maryland
4521:Special
4483:Special
4463:Special
4389:KamLAND
4351:Special
4275:Special
4229:physics
4046:Maynard
4019:Scholze
4014:Figalli
3970:Villani
3965:Smirnov
3774:Quillen
3759:Deligne
3747:Mumford
3725:Novikov
3637:Kodaira
3625:Selberg
3608:Douglas
3603:Ahlfors
3512:Foreign
3283:Fellows
3276:in 1999
3270:of the
3268:Fellows
3221:at the
3168:has an
3166:Scholia
3061:July 9,
2903:May 30,
2857:May 13,
2832:May 13,
2572:Bibcode
2540:1339810
2478:Bibcode
2423:Bibcode
2368:Bibcode
2321:Bibcode
2266:Bibcode
2116:Bibcode
2073:Bibcode
2024:Bibcode
1995:1035111
1975:Bibcode
1926:Bibcode
1881:Bibcode
1830:Bibcode
1700:Alt URL
1548:at the
1307:June 6,
679:by the
565:, to a
529:by the
505:at the
474:/witten
463:Website
5197:(2019)
5191:(2018)
5185:(2017)
5179:(2016)
5173:(2015)
5167:(2014)
5161:(2013)
5155:(2012)
5149:(2011)
5143:(2010)
5126:(2009)
5120:(2008)
5114:(2007)
5108:(2006)
5102:(2005)
5096:(2004)
5090:(2003)
5084:(2002)
5078:(2001)
5072:(2000)
5055:(1999)
5049:(1998)
5043:(1997)
5037:(1996)
5031:(1995)
5025:(1994)
5019:(1993)
5013:(1992)
5007:(1991)
5001:(1990)
4984:(1989)
4978:(1988)
4972:(1987)
4966:(1986)
4960:(1985)
4954:(1984)
4897:(2024)
4863:(2023)
4837:(2022)
4811:(2021)
4786:(2020)
4764:(2019)
4742:(2018)
4720:(2017)
4698:(2016)
4676:(2015)
4650:(2014)
4624:(2013)
4565:(2024)
4555:(2023)
4537:(2022)
4535:Jun Ye
4527:(2021)
4517:(2021)
4503:(2020)
4497:(2019)
4479:(2019)
4469:(2018)
4459:(2018)
4437:(2017)
4411:team,
4403:team,
4391:team,
4347:(2015)
4325:(2014)
4315:(2013)
4271:(2012)
4218:(2024)
4212:(2023)
4206:(2022)
4200:(2021)
4194:(2020)
4188:(2019)
4182:(2018)
4172:(2017)
4166:(2016)
4160:(2015)
4009:Birkar
3992:Hairer
3943:Werner
3889:Gowers
3867:Yoccoz
3845:Witten
3786:Connes
3688:Atiyah
3676:Milnor
3541:
3170:author
3106:
2652:"News"
2635:
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880:SO(32)
864:type I
789:energy
567:Jewish
454:(2001)
449:(1996)
444:(1994)
439:(1991)
434:(1987)
429:(1985)
424:(1983)
386:(1976)
384:
375:Thesis
330:Fields
317:(2016)
312:(2014)
307:(2012)
298:(2010)
293:(2010)
288:(2008)
283:(2006)
278:(2005)
273:(2002)
268:(2000)
263:(1998)
258:(1990)
253:(1986)
248:(1985)
243:(1985)
238:(1982)
231:Awards
213:Spouse
77:, U.S.
5134:2010s
5063:2000s
4992:1990s
4945:1980s
4809:]
3982:Avila
3862:Lions
3835:Jones
3715:Baker
3703:Smale
3693:Cohen
3642:Serre
3006:(PDF)
2633:S2CID
2615:arXiv
2588:S2CID
2562:arXiv
2494:S2CID
2468:arXiv
2439:S2CID
2413:arXiv
2384:S2CID
2358:arXiv
2311:arXiv
2282:S2CID
2256:arXiv
2089:S2CID
2040:S2CID
1991:S2CID
1942:S2CID
1897:S2CID
1867:(PDF)
1846:S2CID
1790:(PDF)
1783:(PDF)
1471:(PDF)
1460:(PDF)
1442:(PDF)
1431:(PDF)
1371:(PDF)
1364:(PDF)
993:With
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758:knots
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4833:and
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4694:and
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3104:ISSN
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3063:2015
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3013:2017
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2859:2020
2834:2020
2809:2023
2784:2016
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2711:2023
2663:2024
2409:1999
2231:2023
2196:ISBN
2132:ISSN
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