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Topic: Andrew Wiles

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FLT

Richard Taylor (mathematician)

Ken Ribet

Conjecture

Robert Langlands

Isaac Newton Institute

Yutaka Taniyama

Annals of Mathematics

Gerhard Frey

John Coates

Simon Singh

Raoul Bott

Elliptic curve

Iwasawa theory

Mathematics

	Sigma Xi: The Scientific Research Society: Andrew Wiles
		British-born mathematician Andrew Wiles, a professor at Princeton University, received the 1996 Common Wealth Award for science and invention for solving Fermat's Last Theorem, an equation that perplexed mathematicians for centuries.
		Wiles, 42, collaborated with Richard L. Taylor, a former student, to present two lengthy manuscripts justifying the proof to the theorem in 1993.
		Following in the footsteps of his father, Wiles went on to become an assistant professor at Harvard University.
	www.sigmaxi.org /programs/prizes/common.wiles.shtml (174 words)

	Who is Andrew Wiles
		By telling his story on screen, Wiles could inspire a new generation of mathematicians and reveal the power of mathematics to the public.
		Wiles first became aware of the Last Theorem when he was ten years old.
		To cut a long story short, Wiles now had to prove the Taniyama-Shimura conjecture, a problem that had been around for decades and which was considered impossible.
	www.simonsingh.net /Andrew_Wiles.html (834 words)

	Andrew Wiles Summary
		Wiles was respected as a talented mathematician well before he announced his triumph on June 23, 1993, at the age of 40.
		Wiles believed he could prove that the elliptical curve representing the solutions to Fermat's equation could not exist and thereby prove FLT to be true.
		Wiles did not do any research that was not related to Taniyama-Shimura, though of course he did continue in his teaching duties at Princeton university; continuing to attend seminars, lecture undergraduates, and give tutorials.
	www.bookrags.com /Andrew_Wiles (4907 words)

	NOVA Online \| The Proof \| Solving Fermat: Andrew Wiles
		Andrew Wiles devoted much of his entire career to proving Fermat's Last Theorem, the world's most famous mathematical problem.
		In 1993, he made front-page headlines when he announced a proof of the problem, but this was not the end of the story; an error in his calculation jeopardized his life's work.
		Andrew Wiles spoke to NOVA and described how he came to terms with the mistake, and eventually went on to achieve his life's ambition.
	www.pbs.org /wgbh/nova/proof/wiles.html (2546 words)

	Wiles biography
		Wiles was awarded a Guggenheim Fellowship which enabled him to visit the Institut des Hautes Études Scientifique in Paris and also the École Normale Supérieure in Paris during 1985-86.
		In fact Wiles abandoned all his other research when he heard what had been proved and, for seven years, he concentrated solely on attempting to prove the Shimura-Taniyama conjecture, knowing that a proof of Fermat's Last Theorem then followed.
		Using Mazur's deformation theory of Galois representations, recent results on Serre's conjecture on the modularity of Galois representations, and deep arithmetical properties of Hecke algebras, Wiles (with one key step due jointly to Wiles and R Taylor) succeeded in proving that all semistable elliptic curves defined over the rational numbers are modular.
	www-history.mcs.st-andrews.ac.uk /Biographies/Wiles.html (1183 words)

	Science Fair Projects - Andrew Wiles
		Andrew Wiles should not be confused with André Weil, another famous mathematician who, like Wiles, has done important work in elliptic curves.
		Wiles was on the point of giving up finally, when he decided to have one last try at solving the last remaining problem in his proof in collaboration with Richard Taylor, one of his former PhD students in 1994.
		Wiles was awarded several prizes in mathematics: Schock Prize (1995), Royal Medal (1996), Cole Prize (1996), and Wolf Prize (1996).
	www.all-science-fair-projects.com /science_fair_projects_encyclopedia/Andrew_Wiles (883 words)

	Andrew Wiles - Wikipedia, the free encyclopedia
		Andrew Wiles should not be confused with André Weil, another famous mathematician who, like Wiles, did important work in the area of elliptic curves.
		Andrew Wiles was introduced to Fermat's Last Theorem at the age of ten.
		Wiles did not do any research that was not related to Taniyama-Shimura, though of course he did continue in his teaching duties at Princeton university; continuing to attend seminars, lecture undergraduates, and give tutorials.
	en.wikipedia.org /wiki/Andrew_Wiles (798 words)

	Andrew Wiles: Tutte le informazioni su Andrew Wiles su Encyclopedia.it (Site not responding. Last check: )
		Andrew John Wiles (11 aprile 1953) è un matematico britannico che vive negli Stati Uniti.
		Già nel giugno 1993 Wiles, che insegna all'Università di Princeton, sostenne di aver trovato la soluzione al teorema; pochi mesi dopo però venne accertato un errore nella sua dimostrazione.
		Wiles tuttavia non si dette per vinto e riuscì poi a correggere tale errore e portare a compimento la propria soluzione.
	www.encyclopedia.it /a/an/andrew_wiles.html (132 words)

	tScholars.com \| Andrew Wiles (Site not responding. Last check: )
		Andrew Wiles should not be confused with AndrÃ© Weil, another famous mathematician who, like Wiles, did important work in the area of elliptic curves.
		Andrew Wiles was introduced to Fermat's Last Theorem at the age of ten.
		Wiles did not do any research that was not related to Taniyama-Shimura, though of course he did continue in his teaching duties at Princeton university; continuing to attend seminars, lecture undergraduates, and give tutorials.
	www.tscholars.com /encyclopedia/Andrew_Wiles (826 words)

	NationMaster - Encyclopedia: Fermat's last theorem
		Wiles and his former student Richard Taylor spent about a year trying to revive the proof, under close scrutiny by the media and mathematical community.
		Although Andrew Wiles has already proved that the theorem is true, some mathematicians who believe that Fermat did prove the theorem continue to search for an elementary proof.
		Theorem B is even harder still, and it is the theorem of which Andrew Wiles first claimed a proof in 1993, thus proving FLT as well.
	www.nationmaster.com /encyclopedia/Fermat%27s-last-theorem (4860 words)

	Andrew Wiles (Site not responding. Last check: )
		Andrew John Wiles (born April 11, 1953) is a British mathematician living in the United States.
		Wiles' odyssey began in 1985 when KenRibet, inspired by an idea of Gerhard Frey, proved that FLT would follow from another conjecture of Taniyama and Shimura, to the effect that every elliptic curve can be parametrized by modular forms.
		Wiles was awarded several prizes in mathematics: Schock Prize (1995), Royal Medal (1996), Cole Prize (1996), and Wolf Prize (1996).
	www.therfcc.org /andrew-wiles-56641.html (462 words)

	Wiles, Andrew (1953-)
		Wiles studied at Oxford (B.A. 1974) and Cambridge (Ph.D. 1977) and has held posts at Cambridge, Oxford, and Princeton.
		Wiles worked hard for about a year, helped in particular by a colleague, R. Taylor, and by Sep. 19, 1994, having almost given up, he decided to have one last try.
		In 1994 Wiles was appointed Eugene Higgins Professor of Mathematics at Princeton.
	www.daviddarling.info /encyclopedia/W/Wiles.html (309 words)

	Geometry.Net - Scientists Books: Wiles Andrew
		Andrew Wiles read about this theorem when he was barely ten year old in a library while flipping through one of E.T. Bell's book.
		Andrew Wiles mathematical proof of the century was not without its share of pitfalls.
		Wiles succeeded in his endeavor, his proof was based on post-Fermat mathematical ideas like the Taniyama-Shimura conjecture, Galois group theory, Iwasawa theory and the Kolyvagin-Flach method.
	www.geometry.net /scientists_bk/wiles_andrew.html (1069 words)

	Andrew Wiles - Wikipedia
		Andrew Wiles, Cambridge-Absolvent und Professor in Princeton, ist vor allem für seinen Beweis der Modularität einer großen Klasse von elliptischen Kurven bekannt geworden, aus der sich der letzte fehlende Schritt im Beweis des großen fermatschen Satzes ergab; dies brachte ihm auch außerhalb der mathematischen Fachwelt große Aufmerksamkeit.
		Als Anerkennung bekam Wiles dafür auf dem International Congress of Mathematics (Internationaler Kongress der Mathematik, ICM) 1998 in Berlin eine Sonderauszeichnung der International Mathematical Union (Internationale Mathematische Vereinigung, IMU) verliehen, da Wiles zum Zeitpunkt seiner Veröffentlichung die traditionelle Altersgrenze von 40 Jahren für die Verleihung der Fields-Medaille bereits überschritten hatte.
		Andrew Wiles: Modular Elliptic Curves and Fermat's last theorem.
	de.wikipedia.org /wiki/Andrew_Wiles (172 words)

	Fermat's last theorem (Site not responding. Last check: )
		Using sophisticated tools from algebraic geometry (in particular elliptic curves and modular forms) Galois theory and Hecke algebras the English mathematician Andrew Wiles from Princeton University with help from his former student Taylor devised a proof of Fermat's last that was published in 1995 in the journal Annals of Mathematics.
		The methods used Wiles were unknown when Fermat was writing it seems inconceivable that Fermat managed to all the necessary mathematics to demonstrate the solution (in the words of Andrew Wiles "it's impossible; this is a 20th century proof").
		Aczel begins by describing Andrew Wiles' initial, although flawed, surprise presentation of a proof of Fermat's Last Theorem--one of the "Holy Grails" of mathematics--at a 1993 conference....
	www.freeglossary.com /Fermat's_last_theorem (1054 words)

	Fermat's last theorem: A seventeenth century puzzle solved
		In what could prove to be a major breakthrough, Andrew Wiles, a 40-year-old number theorist from Princeton University, concluded a series of three lectures on "Modular forms, elliptic curves, and Galois representations" by proving one of the longest standing problems in mathematics--Fermat's last theorem, first stated around 1637.
		Wiles' claims are yet to be checked in detail and it is possible that a flaw will be found.
		According to a number of leading number theorists who attended the Cambridge lectures, the proof given by Andrew Wiles, which builds on a series of more recent developments in pure mathematics, is convincing.
	www.wsws.org /articles/1999/jan1999/ferm-93.shtml (1726 words)

	Princeton Alumni Weekly: Features Web Exclusives
		Andrew Wiles, the Eugene Higgins professor of math, gained worldwide fame for his 1993 solution to Fermat's last theorem, which dates to 1637.
		Jump three hundred years to the 1980s and '90s: Wiles worked on proving the theorem exclusively and secretly for seven years, and startled the world of mathematics by publishing his proof, which was accepted, after a modification, in 1995.
		Andrew Wiles and his wife, Nada Canaan Wiles '83 *88, took their children to see the show in December, and PAW asked him how he liked it.
	www.princeton.edu /~paw/web_exclusives/features/features_14.html (666 words)

	Kosmologika - Vetenskapsmännen - Andrew Wiles
		Andrew Wiles, föddes den 11 april år 1953 i Cambridge, England, och skulle utvecklas till en av världens främsta talteoretiker samt den om lyckades knäcka det svåraste matematiska problemet någonsin, nämligen Fermats sista sats.
		Wiles hade dock de rätta förkunskaperna och talangen att göra detta och långsamt men säkert så kom han närmare målet.
		Wiles vägrade eftersom han visste att om han gjorde det så skulle någon annan kunna fullända beviset och skrivas in i historieböckerna i stälelt för Andrew samt att han skulle överflödas med samtal och brev från amatörmatematiker som försökte själva och ville ha saker i beviset förklarade av honom.
	www.kosmologika.net /Scientists/Wiles.html (1120 words)

	TU Berlin - Medieninformation Nr. 183e - 18. August 1998 (Site not responding. Last check: )
		Wiles was a hot favourite for an award, since in 1993 he had presented a proof of Fermat's Last Theorem - one of the most famous mathematical puzzles, which had remained unsolved for more than 350 years.
		Andrew J. Wiles (born 11 April 1953) is Professor of Mathematics at Princeton University.
		Wiles studied in England at Cambridge University before going to America as assistant professor at Harvard in 1974.
	www.tu-berlin.de /presse/pi/1998/pi183e.htm (310 words)

	Andrew Wiles
		V jednom z velkých příběhů o úspěchu v minulosti matematiky, Andrew lsti (s nápovědou od Richarda Taylora) dokázaly Fermat je poslední teorém v 1994.
		Před tímto výsledkem, Andrew Wiles dělal skvělou práci v teorii čísel.
		Wiles získal Wolf cenu v matematice, v roce 1996.
	wikipedia.infostar.cz /a/an/andrew_wiles.html (371 words)

	FLT (Site not responding. Last check: )
		It is Andrew Wiles, an Englishman, finished giving a lecture on the proof of Fermat's Last Theorem, in 1993.
		Andrew Wiles is regarded as one of the most talented mathematicians in these years.
		Andrew Wiles was the person that proved the conjecture in 1993.
	www.csis.hku.hk /~pyfung/flt.htm (362 words)

	Biographie Wiles
		Wiles mène des études, puis une carrière de mathématicien, très brillantes.
		Wiles décide alors, d'une part de concentrer toute son énergie sur ce problème, et d'autre part, de ne faire part à personne de son travail, pour ne pas être perturbé par le scepticisme ambiant, ou les curiosités intempestives.
		Andrew Wiles s'y intéresse alors, et après un effort solitaire de 7 ans, suivis de quatorze mois de recherches angoissées pour pallier une erreur de raisonnement, arrive à démontrer le théorème, qui avait résisté 360 ans.
	mathematiques.ac-bordeaux.fr /viemaths/hist/mthacc/wiles.htm (867 words)

	Andrew Wiles’ CUHK Lecture Drawn an Audience of 1,500
		Professor Andrew John Wiles, winner of the Shaw Prize in Mathematics 2005 gave his public lecture at Sir Run Run Shaw Hall of The Chinese University of Hong Kong today.
		Born in 1953, Professor Andrew Wiles is currently Eugene Higgins Professor of Mathematics at Princeton University.
		In 1994 Professor Wiles was appointed Eugene Higgins Professor of Mathematics at Princeton.
	www.cuhk.edu.hk /ipro/pressrelease/050903e.htm (266 words)

	Citation for Sir Andrew Wiles
		Sir Andrew Wiles is elected to Honorary Membership of the Society in recognition of his unique contributions to Number Theory.
		In finding a proof of a large part of the Shimura-Taniyama-Weil conjecture, which has since been refined to give a proof of the full conjecture, Wiles opened up single-handedly a new route to many problems in modern number theory hitherto believed intractable, which form part of what is commonly known as the `Langlands Programme'.
		Andrew Wiles has been Eugene Higgins Professor of Mathematics at Princeton University since 1994.
	www.lms.ac.uk /activities/prizes_com/citations01/wiles.html (312 words)

	Andrew Wiles Interview
		Andrew Wiles has devoted his entire career to solving Fermat’s Last Theorem, the world’s most notorious mathematical problem.
		Andrew Wiles spoke to NOVA and described how he came to terms with the mistake, and fought back to eventually achieve his life’s ambition.
		ANDREW WILES : I grew up in Cambridge in England, and my love of mathematics dates from those early childhood days.
	www.simonsingh.com /Andrew_Wiles_Interview.html (2643 words)

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