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Sir Andrew John Wiles (born 11 April 1953) is an English mathematician and a Royal Society Research Professor at the University of Oxford, specialising in number theory.He is best known for proving Fermat's Last Theorem, for which he was awarded the 2016 Abel Prize and the 2017 Copley Medal and for which he was appointed a Knight Commander of the Order of the British Empire in 2000. [1]
The title of one edition of the PBS television series NOVA, discusses Andrew Wiles's effort to prove Fermat's Last Theorem. "The Whole Story". Edited version of 2,000-word essay published in Prometheus magazine, describing Andrew Wiles's successful journey. "Documentary Movie on Fermat's Last Theorem (1996)".
Sir Andrew John Wiles. Wiles's proof of Fermat's Last Theorem is a proof by British mathematician Sir Andrew Wiles of a special case of the modularity theorem for elliptic curves. Together with Ribet's theorem, it provides a proof for Fermat's Last Theorem. Both Fermat's Last Theorem and the modularity theorem were believed to be impossible to ...
You've done some good work so far. There are a few things missing from the article: 1) Details about Wiles's youth, besides his interest in mathematics. 2) A description of what he did between graduate school and his work on the Fermat proof. The lead says that he did work on Birch and Swinnerton-Dyer before working on Fermat's last theorem.
In mathematics, the Langlands program is a set of conjectures about connections between number theory and geometry.It was proposed by Robert Langlands (1967, 1970).It seeks to relate Galois groups in algebraic number theory to automorphic forms and representation theory of algebraic groups over local fields and adeles.
The last step uses the fact that p 2 divides 2 p(p−1) − 1. This follows from Fermat's little theorem, which shows that, for p > 2, 2 p−1 = pk + 1 for some integer k. Raising both sides to the power of p then shows that 2 p(p−1) = p 2 (...) + 1. And now with a similar calculation as above, the following results:
Wiles collected the Wolfskehl prize money, then worth $50,000, on 27 June 1997. [185] In March 2016, Wiles was awarded the Norwegian government's Abel prize worth €600,000 for "his stunning proof of Fermat's Last Theorem by way of the modularity conjecture for semistable elliptic curves, opening a new era in number theory". [186]
Andrew Wiles and Richard Taylor proved the modularity theorem for semistable elliptic curves, which was enough to imply Fermat's Last Theorem. Later, a series of papers by Wiles's former students Brian Conrad , Fred Diamond and Richard Taylor, culminating in a joint paper with Christophe Breuil , extended Wiles's techniques to prove the full ...