# British mathematician andrew wiles biography

Two years later the American Ken Ribet proved that Frey's hunch was correct: Wiles's graduate research was guided by John Coates beginning in the summer of

His turning point came in when it was demonstrated that Fermat's Last Theorem could be rephrased using the mathematics of elliptic curves and modular forms.

The two subjects that Wiles specialised in had turned out to be exactly the areas needed to tackle Fermat's Last Theorem. He decided that he british mathematician andrew return to the problem that so excited him as a child. Wiles chose to work on Fermat alone, rather than collaborate wile biography colleagues. He only confided in was his wife Nada, who he married shortly after embarking on the proof.

After seven years of intense study, he believed he had discovered a proof and went public with a lecture series at a seminar in Cambridge in The title of the series, Modular Forms, Elliptic Curves and Galois Representationsgave nothing away but rumour had spread around the mathematical community and two hundred people packed into the lecture theatre to hear him.

As Wiles wrote the theorem up as the conclusion to his talk, the entire room burst into in applause.

## Fermat's Last Theorem proof secures mathematics' top prize for Sir Andrew Wiles

Later inhowever, a referee checking the details of the proof found a large error. A devastated Wiles set to work to fix the issue, enlisting a former student, Richard Taylor, to help with the task.

After a year's work, a correction was identified. No further gaps were found in the revised proof and it was published in Annals of Mathematics inwith the title Modular Elliptic Curves and Fermat's Last Theorem.

Wiles has received many awards in recognition of his discovery. The International Mathematical Union presented him with a silver plaque, the only time they have ever done so.

He was awarded the inaugural Clay Research Award. Wiles worked at Princeton from to He is now based at the University's Mathematical Institute in the Andrew Wiles Building, which opened in and was named in his honour. The French mathematician Pierre de Fermat first expressed the theorem in the margin of a book aroundtogether with the words: By the time Andrew Wiles was a boy, proving the theorem was generally considered well beyond the reaches of available conceptual tools.

The proof that Andrew Wiles discovered in was certainly not the one that Fermat was thinking of when he scribbled in his margin.

### Andrew John Wiles

Most people now believe that the Frenchman was mistaken in thinking he had a proof. Instead Wiles' work builds on two concepts that were introduced to mathematics in the eighteenth and nineteenth centuries: Mathematicians began to study these equations in order to calculate the distances planets moved along their elliptical paths.

By the beginning of the nineteenth century, however, they were of interest for their own properties, and were the subject of work by Niels Henrik Abel among others. Modular forms are a more abstract kind of mathematical object. This work settles many of the basic problems on cyclotomic fields which go back to Kummer, and is unquestionably one of the major advances in number theory in our times.

Earlier he did deep work on the conjecture of Birch and Swinnerton-Dyer for elliptic curves with complex multiplication — one offshoot of this was his proof of an unexpected and beautiful generalisation of the classical explicit reciprocity laws of Artin—Hasse—Iwasawa.

Most recently, he has made new mathematician on the construction of l-adic representations attached to Hilbert modular forms, and has applied these to prove the "main conjecture" for cyclotomic extensions of totally real fields — again a remarkable result since none of the classical tools of cyclotomic fields applied to these problems.

Archived from the original on 25 September From Wikipedia, the free encyclopedia. Sir Andrew Wiles Wiles at the 51st birthday conference for P. Deligne Institute for Advanced Study University of Oxford Princeton University. Wiles's british of Fermat's Last Theorem.

Who's Who online Oxford University Press ed. Archived from the andrew wiles biography on One or more of the preceding sentences incorporates text from the royalsociety. Archived from the original on 15 March Retrieved 16 March Academic Genealogy of Mathematicians. MacTutor History of Mathematics archive. National Academy of Sciences. Wiles was born on April 11,in Cambridge, England.

#### Andrew Wiles

He had an academic background from the start: When he was just ten, he found a book about it in his local public library.

Even at that age, he could understand the theorem itself, which states that for an equation in which a, b, and c are raised to the mathematician andrew power, n, the sum of the first two, cannot equal the third for any integer above two. Nevertheless, Wiles quickly came to realize that his mathematical wile biography was not sufficient to solve the problem and for more than two decades, it lay dormant in his mind.

Inhowever, he noted the proof of the related epsilon conjecture by Ken Ribet. In the mids, he spent several years in France, at one point acting as a Guggenheim Fellow. This british was then complete and published in the Annals of Mathematics.

Even the most famous mathematicians in the world could not find a problem with his proof, making it extremely famous and important to math today.

### It pays to be good at numbers! British mathematician wins £500,000 for proving the 300-year-old Fermat's Last Theorem

Wiles has done a number of interviews about his proof and he has even been featured on several different television shows. Today, Andrew Wiles is living in the United Kingdom, which is where he is a citizen. He is a member of the U.