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The first version of the proof depended on the construction of an object called an Euler system, and this aspect proved problematical, a flaw emerged during peer review of the subtle and complex mathematics involved. In the following months, the manuscript of the proof was circulated only to a small number of mathematicians while the world awaited. I'll stop here", and received a standing ovation.
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At the end of the third lecture, he announced "(.) this proves Fermat's Last Theorem. He did not announce the topic of the lectures in advance, and as the audience and the world became aware of where the lectures were headed, the audience swelled so that the third lecture was to an overpacked room. He arranged to give three lectures at the Isaac Newton Institute, Cambridge, England, in June of 1993. Wiles was uncharacteristically dramatic in revealing the proof. The proof is a tour de force introducing many new ideas. Working in absolute secrecy, and sharing his ideas and progress only with Nicholas Katz, another professor of mathematics at Princeton, Wiles eventually developed a proof of the Taniyama-Shimura-Weil conjecture, and hence of FLT. Though less familiar than Fermat's Last Theorem, the Taniyama-Shimura theorem is the more significant of the two, because it touches on truly deep currents in number theory. His odyssey towards the final proof began in 1985 when Ken Ribet, inspired by ideas of Jean-Pierre Serre and Gerhard Frey, proved that FLT would follow from another conjecture of Taniyama, Shimura and Weil, to the effect that every elliptic curve can be parametrized by modular forms. Wiles had been inspired by the problem as a child when he encountered it in E.T. In which n is a natural number greater than 2. In work with John Coates he obtained some of the first results on the famous Birch and Swinnerton-Dyer conjecture, and he also did important work on the main conjecture of Iwasawa theory.įermat's Last Theorem (FLT) asserts that there are no positive integers x, y, and z such that In one of the great success stories in the history of mathematics, Wiles (with help from Richard Taylor) proved Fermat's Last Theorem in 1994.īefore this result, Andrew Wiles had done outstanding work in number theory. at the University of Cambridge in 1979 and is currently a Professor at Princeton University, and chair of the department of mathematics, Princeton University. In 1974, he received his bachelor's degree from the University of Oxford. Andrew John Wiles (born April 11, 1953) is a British mathematician living in the United States.