Andrew Wiles
Sir Andrew John Wiles (April 11th 1953 with Cambridge, England -) is a British Mathématicien which publishes in the United States. It is especially known for its demonstration of the Dernier theorem of Fermat in 1994, thus solving one of the most known problems of the history of mathematics.
Biography
It enters to Clare College in 1974 to prepare there a Ph.D. in Mathématiques on the theory of Iwasawa, which it obtains in 1980. He becomes professor with the Université of Princeton to the New Jersey in 1982.With regard to the demonstration of the last theorem of Fermat, the odyssey of Wiles starts in 1985 when Ken Ribet, on the basis of an idea of Gerhard Frey, shows that this theorem would result from the Conjecture of Shimura-Taniyama-Weil which affirms that all elliptic curve is skeletal by a modular Forme. Although less familiar than the theorem of Fermat, it is most significant, because it touches in the middle of the theory of the numbers.
However, nobody with the least working track to show it. Working in the greatest secrecy during eight years, and making share of its ideas and progress with Nicholas Katz, a colleague of Princeton, Wiles shows the conjecture of Shimura-Taniyama-Weil and, consequently, the theorem of Fermat. Like any demonstration of this width, it is a feat of ingenuity rich in new ideas.
To reveal its proof, Wiles begins there in a quasi theatrical way. He announces three conferences (June 21st, 22nd and 23rd 1993) without giving the object of it, which he does only at the time of the last by specifying that the great theorem of Fermat is a Corollaire of its principal results. It acts thus to make sure that the paternity of its proof is not disputed to him afterwards.
In the months which follow, the manuscript of its proof circulates near a small number of mathematicians. Several criticisms are emitted against the proof that Wiles presented in 1993, almost all about the detail and are solved quickly, except one. At such point, that some wrote that this first version, although showing much originality, was not a proof. With the assistance of Richard Taylor, Wiles subjects another version, accepted such as it is, which circumvents the problem raised in October 1994. Its work puts thus fine at a research which lasted more than 300 years.
He is the author of an important work in Théorie of the numbers. With Coates (which was its reader), it obtained several results on the Conjecture of Birch and Swinnerton-Dyer.
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