Which theorem was Andrew Wiles the first to prove?

Which theorem was Andrew Wiles the first to prove?

Andrew Wiles

Sir Andrew Wiles KBE FRS
Alma mater University of Oxford (MA) University of Cambridge (PhD)
Known for Proving the Taniyama–Shimura conjecture for semistable elliptic curves, thereby proving Fermat’s Last Theorem Proving the main conjecture of Iwasawa theory

What is the difference between a theorem and conjecture?

Theorem — a mathematical statement that is proved using rigorous mathematical reasoning. Conjecture — a statement that is unproved, but is believed to be true (Collatz conjecture, Goldbach conjecture, twin prime conjecture).

How do you state Theorem?

In order for a theorem be proved, it must be in principle expressible as a precise, formal statement. However, theorems are usually expressed in natural language rather than in a completely symbolic form—with the presumption that a formal statement can be derived from the informal one.

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What did Andrew Wiles prove?

Wiles’s proof of Fermat’s Last Theorem is a proof by British mathematician Andrew Wiles of a special case of the modularity theorem for elliptic curves. Wiles first announced his proof on 23 June 1993 at a lecture in Cambridge entitled “Modular Forms, Elliptic Curves and Galois Representations”.

How do you cite math?

You can adapt this to the style of the journal in which your citation is to appear, but the key items of information should all be there: author’s name(s), year and month of publication, title, journal name and volume number, retrieval date, and exact URL.

What was Andrew Wiles contribution to mathematics?

Andrew Wiles is a mathematician best known for proving Fermat’s Last Theorem. This celebrated achievement arose out of his earlier work on the study of elliptic curves and has led to significant advances in the field of number theory.

Did Andrew Wiles prove Fermat’s Last Theorem?

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Andrew Wiles in front of the statue of Pierre de Fermat in Beaumont-de-Lomagne, Fermat’s birthplace in southern France. Wiles’s proof of Fermat’s Last Theorem has stood up to the scrutiny of the world’s other mathematical experts.

What is Andrew Wiles best known for?

Andrew Wiles. Sir Andrew John Wiles KBE FRS (born 11 April 1953) is a British 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 by the Royal Society.

What did John Wiles do for his PhD?

He was awarded his PhD in 1980 for his work on elliptic curves, a type of equation that was first studied in connection with measuring the lengths of planetary orbits. Wiles was not actively trying to solve Fermat’s Last Theorem during the early years of his career.

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Why did Sir Andrew Wiles win the 2016 Abel Prize?

Sir Andrew Wiles was awarded the 2016 Abel Prize for mathematics for his proof of Fermat’s Last Theorem. Image credit: John Cairns Published 15 Mar 2016 Share This Tweet Share on Facebook Share on LinkedIn Share on Reddit HomeNewsFermat’s Last Theorem proof secures mathematics’ top prize for Sir Andrew Wiles