John G. Thompson Photos:

John G. Thompson
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John G. Thompson
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John G. Thompson
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John G. Thompson
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John G. Thompson Basic Informations:

Biography
2> He received his B.A. from Yale University in 1955 and his doctorate from the University of Chicago in 1959 under the supervision of Saunders Mac Lane. After spending some time on the Mathematics faculty at the University of Chicago, he moved in 1970 to the Rouse Ball Professorship in Mathematics at the University of Cambridge, England, and later moved to the Mathematics Department of the University of Florida as a Graduate Research Professor. He is currently a Professor Emeritus of Pure Mathematics at the University of Cambridge, and professor of mathematics at the University of Florida. He received the Abel Prize 2008 together with Jacques Tits.[1] [edit]

Tags:University Of Chicago,University Of Cambridge,University Of Florida,Yale University,B.a.,Abel Prize,Doctorate,Saunders Mac Lane,Rouse Ball Professorship In Mathematics,England,Professor Emeritus,Pure Mathematics,Professor,Mathematics,Jacques Tits,
Work
2> Thompson's doctoral thesis introduced powerful and innovative techniques, and included the solution of a problem in finite group theory which had stood for around sixty years, the nilpotency of Frobenius kernels. At the time, this achievement was noted in The New York Times[2] (though his university affiliation was stated incorrectly there). Thompson became a key figure in the progress toward the classification of finite simple groups. In 1963, he and Walter Feit proved that all nonabelian finite simple groups are of even order (the Odd Order Paper, filling a whole issue of the Pacific Journal of Mathematics). This work was recognised by the award of the 1965 Cole Prize in Algebra of the American Mathematical Society. His monumental N-group papers classified all finite simple groups for which the normalizer of every non-identity solvable subgroup is solvable. This included, as a by-product, the classification of all minimal finite simple groups (those for which every proper subgroup is solvable). This work had great influence on later developments in the classification of finite simple groups, and was quoted in the citation by Richard Brauer for the award of Thompson's Fields Medal in 1970 (Proceedings of the International Congress of Mathematicians, Nice, France, 1970). The Thompson group Th is one of the 26 sporadic finite simple groups. Thompson also made major contributions to the inverse Galois problem. He found a criterion for a finite group to be a Galois group, that in particular implies that the monster simple group is a Galois group. [edit]

Tags:Group Theory,Cole Prize,Fields Medal,Mathematician,Finite Group Theory,Nilpotency,Frobenius Kernels,The New York Times,Classification Of Finite Simple Groups,Walter Feit,Nonabelian,Simple Groups,Order,Odd Order Paper,Pacific Journal Of Mathematics,American Mathematical Society,N-group Papers,Normalizer,Solvable,Subgroup,Richard Brauer,International Congress Of Mathematicians,Nice,France,Thompson Group,Sporadic,Inverse Galois Problem,Galois Group,Monster Simple Group,
Further recognition
2> In 1971, Thompson was elected to the United States National Academy of Sciences. In 1982, he was awarded the Senior Berwick Prize of the London Mathematical Society, and in 1988, he received the honorary degree of Doctor of Science from the University of Oxford. Thompson was awarded the United States National Medal of Science in 2000. He is a Fellow of the Royal Society (United Kingdom), and a recipient of its Sylvester Medal.[citation needed] He is a member of the Norwegian Academy of Science and Letters.[3] [edit]

Tags:Royal Society,Senior Berwick Prize,Sylvester Medal,United States National Academy Of Sciences,London Mathematical Society,Doctor Of Science,University Of Oxford,National Medal Of Science,Fellow Of The Royal Society,United Kingdom,Norwegian Academy Of Science And Letters,United States National Medal Of Science,
See also
2> Feit–Thompson theorem McKay–Thompson series Quadratic pair Thompson subgroup Thompson order formula Thompson uniqueness theorem [edit]

Tags:Feit–thompson Theorem,Mckay–thompson Series,Quadratic Pair,Thompson Subgroup,Thompson Order Formula,Thompson Uniqueness Theorem,
References
2> ^ "Thompson and Tits share the Abel Prize for 2008". The Niels Henrik Abel Memorial Fund. 2008-05-17. Archived from the original on 2008-05-20. http://www.webcitation.org/5XxtY4s3z. Retrieved 2008-05-20. "The Norwegian Academy of Science and Letters has decided to award the Abel Prize for 2008 to John Griggs Thompson, University of Florida and Jacques Tits, Collège de France. This was announced by the Academy’s President, Ole Didrik Lærum, at a press conference in Oslo today. Thompson and Tits receives the Abel Prize “for their profound achievements in algebra and in particular for shaping modern group theory”."  ^ http://www.cecm.sfu.ca/organics/papers/lam/paper/html/NYTimes.html New York Times article, April 26, 1959. ^ "Gruppe 1: Matematiske fag" (in Norwegian). Norwegian Academy of Science and Letters. http://www.dnva.no/c26849/artikkel/vis.html?tid=40116. Retrieved 7 October 2010.  [edit]

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External links
2> O'Connor, John J.; Robertson, Edmund F., "John G. Thompson", MacTutor History of Mathematics archive, University of St Andrews, http://www-history.mcs.st-andrews.ac.uk/Biographies/Thompson_John.html . John G. Thompson at the Mathematics Genealogy Project. List of mathematical articles by John G. Thompson Biography from the Abel Prize center v d e Abel Prize laureates Jean-Pierre Serre (2003) Michael Atiyah / Isadore Singer (2004) Peter Lax (2005) Lennart Carleson (2006) S. R. Srinivasa Varadhan (2007) John G. Thompson / Jacques Tits (2008) Mikhail Gromov (2009) John Tate (2010) John Milnor (2011) v d e Fields Medalists Lars Ahlfors / Jesse Douglas (1936) Laurent Schwartz / Atle Selberg (1950) Kunihiko Kodaira / Jean-Pierre Serre (1954) Klaus Roth / René Thom (1958) Lars Hörmander / John Milnor (1962) Michael Atiyah / Paul Cohen / Alexander Grothendieck / Stephen Smale (1966) Alan Baker / Heisuke Hironaka / Sergei Novikov / John G. Thompson (1970) Enrico Bombieri / David Mumford (1974) Pierre Deligne / Charles Fefferman / Grigory Margulis / Daniel Quillen (1978) Alain Connes / William Thurston / Shing-Tung Yau (1982) Simon Donaldson / Gerd Faltings / Michael Freedman (1986) Vladimir Drinfel'd / Vaughan Jones / Shigefumi Mori / Edward Witten (1990) Efim Zelmanov / Pierre-Louis Lions / Jean Bourgain / Jean-Christophe Yoccoz (1994) Richard Borcherds / Timothy Gowers / Maxim Kontsevich / Curtis T. McMullen (1998) Laurent Lafforgue / Vladimir Voevodsky (2002) Andrei Okounkov / Grigori Perelman / Terence Tao / Wendelin Werner (2006) Elon Lindenstrauss / Ngo Bao Chau / Stanislav Smirnov / Cédric Villani (2010) Book:Fields Medal Category:Fields Medalists Portal:Mathematics v d e Laureates of the Wolf Prize in Mathematics Israel Gelfand / Carl L. Siegel (1978) Jean Leray / André Weil (1979) Henri Cartan / Andrey Kolmogorov (1980) Lars Ahlfors / Oscar Zariski (1981) Hassler Whitney / Mark Krein (1982) Shiing-Shen Chern / Paul Erdős (1983/4) Kunihiko Kodaira / Hans Lewy (1984/5) Samuel Eilenberg / Atle Selberg (1986) Kiyoshi Itō / Peter Lax (1987) Friedrich Hirzebruch / Lars Hörmander (1988) Alberto Calderón / John Milnor (1989) Ennio de Giorgi / Ilya Piatetski-Shapiro (1990) Lennart Carleson / John G. Thompson (1992) Mikhail Gromov / Jacques Tits (1993) Jürgen Moser (1994/5) Robert Langlands / Andrew Wiles (1995/6) Joseph Keller / Yakov G. Sinai (1996/7) László Lovász / Elias M. Stein (1999) Raoul Bott / Jean-Pierre Serre (2000) Vladimir Arnold / Saharon Shelah (2001) Mikio Sato / John Tate (2002/3) Grigory Margulis / Sergei Novikov (2005) Stephen Smale / Hillel Fürstenberg (2006/7) Pierre Deligne / Phillip A. Griffiths / David B. Mumford (2008) Dennis Sullivan / Shing-Tung Yau (2010) Michael Aschbacher / Luis Caffarelli (2012) Agriculture Arts Chemistry Mathematics Medicine Physics v d e United States National Medal of Science laureates   Behavioral and social science 1960s 1964: Roger Adams Othmar H. Ammann Theodosius Dobzhansky Neal Elgar Miller 1980s 1986: Herbert A. Simon 1987: Anne Anastasi George J. Stigler 1988: Milton Friedman 1990s 1990: Leonid Hurwicz Patrick Suppes 1991: Robert W. Kates George A. Miller 1992: Eleanor J. Gibson 1994: Robert K. Merton 1995: Roger N. Shepard 1996: Paul Samuelson 1997: William K. Estes 1998: William Julius Wilson 1999: Robert M. Solow 2000s 2000: Gary Becker 2001: George Bass 2003: R. Duncan Luce 2004: Kenneth Arrow 2005: Gordon H. Bower 2008: Michael I. Posner 2009: Mortimer Mishkin   Biological sciences 1960s 1963: C. B. van Niel 1964: Marshall W. Nirenberg 1965: Francis P. Rous George G. Simpson Donald D. Van Slyke 1966: Edward F. Knipling Fritz Albert Lipmann William C. Rose Sewall Wright 1967: Kenneth S. Cole Harry F. Harlow Michael Heidelberger Alfred H. Sturtevant 1968: Horace Barker Bernard B. Brodie Detlev W. Bronk Jay Lush Burrhus Frederic Skinner 1969: Robert Huebner Ernst Mayr 1970s 1970: Barbara McClintock Albert B. Sabin 1973: Daniel I. Arnon Earl W. Sutherland, Jr. 1974: Britton Chance Erwin Chargaff James V. Neel James Augustine Hannon 1975: Hallowell Davis Paul Gyorgy Sterling Brown Hendricks Orville lvin Vogel 1976: Roger C.L. Guillemin Keith Roberts Porter Efraim Racker E. O. Wilson 1979: Robert H. Burris Elizabeth C. Crosby Arthur Kornberg Severo Ochoa Earl Reece Stadtman George Ledyard Stebbins Paul Alfred Weiss 1980s 1981: Philip Handler 1982: Seymour Benzer Glenn W. Burton Mildred Cohn 1983: Howard L. Bachrach Paul Berg Wendell L. Roelofs Berta Scharrer 1986: Stanley Cohen Donald A. Henderson Vernon B. Mountcastle George Emil Palade Joan A. Steitz 1987: Michael E. Debakey Theodor O. Diener Harry Eagle Har Gobind Khorana Rita Levi-Montalcini 1988: Michael S. Brown Stanley Norman Cohen Joseph L. Goldstein Maurice R. Hilleman Eric R. Kandel Rosalyn Sussman Yalow 1989: Katherine Esau Viktor Hamburger Philip Leder Joshua Lederberg Roger W. Sperry Harland G. Wood 1990s 1990: Baruj Benacerraf Herbert W. Boyer Daniel E. Koshland, Jr. Edward B. Lewis David G. Nathan E. Donnall Thomas 1991: Mary Ellen Avery G. Evelyn Hutchinson Elvin A. Kabat Salvador Luria Paul A. Marks Folke K Skoog Paul C. Zamecnik 1992: Maxine Singer Howard M. Temin 1993: Daniel Nathans Salome G. Waelsch 1994: Thomas Eisner Elizabeth F. Neufeld 1995: Alexander Rich 1996: Ruth Patrick 1997: James D. Watson Robert A. Weinberg 1998: Bruce Ames Janet Rowley 1999: David Baltimore Jared Diamond Lynn Margulis 2000s 2000: Nancy C. Andreasen Peter H. Raven Carl Woese 2001: Francisco J. Ayala Mario R. Capecchi Ann M. Graybiel Gene E. Likens Victor A. McKusick Harold Varmus 2002: James E. Darnell Evelyn M. Witkin 2003: J. Michael Bishop Solomon H. Snyder Charles Yanofsky 2004: Norman E. Borlaug Phillip A. Sharp Thomas E. Starzl 2005: Anthony Fauci Torsten N. Wiesel 2006: Rita R. Colwell Nina Fedoroff Lubert Stryer 2007: Robert J. Lefkowitz Bert W. O'Malley 2008: Francis S. Collins Elaine Fuchs J. Craig Venter 2009: Susan L. Lindquist Stanley B. Prusiner   Chemistry 1980s 1982: F. Albert Cotton Gilbert Stork 1983: Roald Hoffmann George C. Pimentel Richard N. Zare 1986: Harry B. Gray Yuan Tseh Lee Carl S. Marvel Frank H. Westheimer 1987: William S. Johnson Walter H. Stockmayer Max Tishler 1988: William O. Baker Konrad E. Bloch Elias J. Corey 1989: Richard B. Bernstein Melvin Calvin Rudoph A. Marcus Harden M. McConnell 1990s 1990: Elkan Blout Karl Folkers John D. Roberts 1991: Ronald Breslow Gertrude B. Elion Dudley R. Herschbach Glenn T. Seaborg 1992: Howard E. Simmons, Jr. 1993: Donald J. Cram Norman Hackerman 1994: George S. Hammond 1995: Thomas Cech Isabella L. Karle 1996: Norman Davidson 1997: Darleane C. Hoffman Harold S. Johnston 1998: John W. Cahn George M. Whitesides 1999: Stuart A. Rice John Ross Susan Solomon 2000s 2000: John D. Baldeschwieler Ralph F. Hirschmann 2001: Ernest R. Davidson Gabor A. Somorjai 2002: John I. Brauman 2004: Stephen J. Lippard 2006: Marvin H. Caruthers Peter B. Dervan 2007: Mostafa A. El-Sayed 2008: Joanna S. Fowler JoAnne Stubbe 2009: Stephen J. Benkovic Marye Anne Fox   Engineering sciences 1960s 1962: Theodore von Kármán 1963: Vannevar Bush John Robinson Pierce 1964: Charles S. Draper 1965: Hugh L. Dryden Clarence L. Johnson Warren K. Lewis 1966: Claude E. Shannon 1967: Edwin H. Land Igor I. Sikorsky 1968: J. Presper Eckert Nathan M. Newmark 1969: Jack St. Clair Kilby 1970s 1970: George E. Mueller 1973: Harold E. Edgerton Richard T. Whitcomb 1974: Rudolf Kompfner Ralph Brazelton Peck Abel Wolman 1975: Manson Benedict William Hayward Pickering Frederick E. Terman Wernher von Braun 1976: Morris Cohen Peter C. Goldmark Erwin Wilhelm Müller 1979: Emmett N. Leith Raymond D. Mindlin Robert N. Noyce Earl R. Parker Simon Ramo 1980s 1982: Edward H. Heinemann Donald L. Katz 1983: William R. Hewlett George M. Low John G. Trump 1986: Hans Wolfgang Liepmann T. Y. Lin Bernard M. Oliver 1987: R. Byron Bird H. Bolton Seed Ernst Weber 1988: Daniel C. Drucker Willis M. Hawkins George W. Housner 1989: Harry George Drickamer Herbert E. Grier 1990s 1990: Mildred S. Dresselhaus Nick Holonyak Jr. 1991: George Heilmeier Luna B. Leopold H. Guyford Stever 1992: Calvin F. Quate John Roy Whinnery 1993: Alfred Y. Cho 1994: Ray W. Clough 1995: Hermann A. Haus 1996: James L. Flanagan C. Kumar N. Patel 1998: Eli Ruckenstein 1999: Kenneth N. Stevens 2000s 2000: Yuan-Cheng B. Fung 2001: Andreas Acrivos 2002: Leo Beranek 2003: John M. Prausnitz 2004: Edwin N. Lightfoot 2005: Jan D. Achenbach Tobin J. Marks 2006: Robert S. Langer 2007: David J. Wineland 2008: Rudolf E. Kálmán 2009: Amnon Yariv   Mathematical, statistical, and computer sciences 1960s 1963: Norbert Wiener 1964: Solomon Lefschetz H. Marston Morse 1965: Oscar Zariski 1966: John Milnor 1967: Paul Cohen 1968: Jerzy Neyman 1969: William Feller 1970s 1970: Richard Brauer 1973: John Tukey 1974: Kurt Gödel 1975: John W. Backus Shiing-Shen Chern George Dantzig 1976: Kurt Otto Friedrichs Hassler Whitney 1979: Joseph Leo Doob Donald E. Knuth 1980s 1982: Marshall Harvey Stone 1983: Herman Goldstine Isadore Singer 1986: Peter Lax Antoni Zygmund 1987: Raoul Bott Michael Freedman 1988: Ralph E. Gomory Joseph B. Keller 1989: Samuel Karlin Saunders MacLane Donald C. Spencer 1990s 1990: George F. Carrier Stephen Cole Kleene John McCarthy 1991: Alberto Calderón 1992: Allen Newell 1993: Martin David Kruskal 1994: John Cocke 1995: Louis Nirenberg 1996: Richard Karp Stephen Smale 1997: Shing-Tung Yau 1998: Cathleen Synge Morawetz 1999: Felix Browder

Tags:Usa,Saunders Maclane,Wolf Prize,O'connor, John J.,Mactutor History Of Mathematics Archive,Jean-pierre Serre,Michael Atiyah,Isadore Singer,Peter Lax,Lennart Carleson,S. R. Srinivasa Varadhan,Mikhail Gromov,John Tate,Fields Medalists,Lars Ahlfors,Jesse Douglas,Laurent Schwartz,Atle Selberg,Kunihiko Kodaira,Klaus Roth,René Thom,Lars Hörmander,John Milnor,Paul Cohen,Alexander Grothendieck,Stephen Smale,Alan Baker,Heisuke Hironaka,Sergei Novikov,Enrico Bombieri,David Mumford,Pierre Deligne,Charles Fefferman,Grigory Margulis,Daniel Quillen,Alain Connes,William Thurston,Shing-tung Yau,Simon Donaldson,Gerd Faltings,Michael Freedman,Vladimir Drinfel'd,Vaughan Jones,Shigefumi Mori,Edward Witten,Efim Zelmanov,Pierre-louis Lions,Jean Bourgain,Jean-christophe Yoccoz,Richard Borcherds,Timothy Gowers,Maxim Kontsevich,Curtis T. Mcmullen,Laurent Lafforgue,Vladimir Voevodsky,Andrei Okounkov,Grigori Perelman,Terence Tao,Wendelin Werner,Elon Lindenstrauss,Ngo Bao Chau,Stanislav Smirnov,Wolf Prize In Mathematics,Israel Gelfand,Carl L. Siegel,Jean Leray,André Weil,Henri Cartan,Andrey Kolmogorov,Oscar Zariski,Hassler Whitney,Mark Krein,Shiing-shen Chern,Paul Erdős,Hans Lewy,Samuel Eilenberg,Kiyoshi Itō,Friedrich Hirzebruch,Alberto Calderón,Ennio De Giorgi,Ilya Piatetski-shapiro,Jürgen Moser,Robert Langlands,Andrew Wiles,Joseph Keller,Yakov G. Sinai,László Lovász,Elias M. Stein,Raoul Bott,Vladimir Arnold,Saharon Shelah,Mikio Sato,Hillel Fürstenberg,Phillip A. Griffiths,David B. Mumford,Dennis Sullivan,Michael Aschbacher,Agriculture,Arts,Chemistry,Medicine,Physics,Roger Adams,Othmar H. Ammann,Theodosius Dobzhansky,Neal Elgar Miller,Herbert A. Simon,Anne Anastasi,George J. Stigler,Milton Friedman,Leonid Hurwicz,Patrick Suppes,Robert W. Kates,George A. Miller,Eleanor J. Gibson,Robert K. Merton,Roger N. Shepard,Paul Samuelson,William K. Estes,William Julius Wilson,Robert M. Solow,Gary Becker,George Bass,R. Duncan Luce,Kenneth Arrow,Gordon H. Bower,Michael I. Posner,C. B. Van Niel,Marshall W. Nirenberg,Francis P. Rous,George G. Simpson,Donald D. Van Slyke,Edward F. Knipling,Fritz Albert Lipmann,William C. Rose,Sewall Wright,Kenneth S. Cole,Harry F. Harlow,Michael Heidelberger,Alfred H. Sturtevant,Horace Barker,Bernard B. Brodie,Detlev W. Bronk,Jay Lush,Burrhus Frederic Skinner,Robert Huebner,Ernst Mayr,Barbara Mcclintock,Albert B. Sabin,Daniel I. Arnon,Earl W. Sutherland, Jr.,Britton Chance,Erwin Chargaff,James V. Neel,James Augustine Hannon,Hallowell Davis,Paul Gyorgy,Sterling Brown Hendricks,Orville Lvin Vogel,Roger C.l. Guillemin,Keith Roberts Porter,Efraim Racker,E. O. Wilson,Robert H. Burris,Elizabeth C. Crosby,Arthur Kornberg,Severo Ochoa,Earl Reece Stadtman,George Ledyard Stebbins,Paul Alfred Weiss,Philip Handler,Seymour Benzer,Glenn W. Burton,

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