can you tell me who andrew wiles is?

Question

clue....... fermats last theorum

Answer 1

Sir Andrew John Wiles (born April 11, 1953) is a British-American research mathematician at Princeton University in number theory. He attended The Leys School, Cambridge and then earned his BA degree from Merton College, Oxford University in 1974 and Ph.D. from Clare College, Cambridge University in 1980. His graduate research was guided by John Coates beginning in the summer of 1975. Together they worked on the arithmetic of elliptic curves with complex multiplication by the methods of Iwasawa theory. He made major breakthroughs in the study of rational elliptic curves associated with modular forms. He is most famous for finally proving Fermat's Last Theorem.

Fermat's Last Theorem states that no solutions in integers exist for the equation: xn + yn = zn if n is greater than two.

Career highlight :
Andrew Wiles was introduced to Fermat's Last Theorem at the age of ten. He tried to prove the theorem using textbook methods and later studied the work of mathematicians who had tried to prove it. When he began his graduate studies he stopped trying to prove it and began studying elliptic curves under the supervision of John Coates.

In the 1950s and 1960s a connection between elliptic curves and modular forms was conjectured by the Japanese mathematician Shimura based on some ideas that Taniyama posed. In the West it became well known through a paper André Weil wrote, with Weil giving conceptual evidence for it, and was often called Shimura-Taniyama-Weil. It states that every rational elliptic curve is modular. The full conjecture was proven by Christophe Breuil, Brian Conrad, Fred Diamond, and Richard Taylor in 1998 using many of the methods that Andrew Wiles used in his 1995 published papers.

A connection between Taniyama-Shimura and Fermat was made by Ken Ribet, following on work by Barry Mazur and Jean-Pierre Serre, with his proof of the epsilon conjecture showing that Frey's idea that the Frey curve could not be modular was correct. In particular, this showed that a proof of the semistable case of the Taniyama-Shimura conjecture would imply Fermat's Last Theorem. Wiles made the decision that he would work exclusively on the Taniyama-Shimura conjecture shortly after he had learned that Ribet had proven the epsilon conjecture in 1986. While many mathematicians thought the Taniyama-Shimura conjecture was inaccessible, Andrew Wiles had the audacity to dream that the conjecture could be proven with twentieth-century techniques.

When Wiles first began studying Taniyama-Shimura, he would casually mention Fermat to people, but he found that doing so created too much interest. He wanted to be able to work on his problem in a concentrated fashion, and if people were expressing too much interest then he would not have been able to focus on his problem. Consequently he let only Nicholas Katz know what he was working on. Wiles did not do any research that was not related to Taniyama-Shimura, though of course he did continue in his teaching duties at Princeton university; continuing to attend seminars, lecture undergraduates, and give tutorials.

The bridge between Fermat and Taniyama
If p is an odd prime and a, b, and c are positive integers such that ap+bp=cp, then a corresponding equation y2 = x(x - ap)(x + bp) defines a hypothetical elliptic curve, called the Frey curve, which must exist if there is a counterexample to Fermat's Last Theorem. Following on work by Yves Hellegouarch who first considered this curve, Frey pointed out that if such a curve existed it had peculiar properties, and suggested in particular that it might not be modular.

Hope you understood it clearly.

Answer 2

Sir Andrew John Wiles

Answer 3

[b. Cambridge, England, April 11, 1953]

When he was ten years old, Wiles became interested in the solution to the problem known as Fermat's Last Theorem. Although he worked on other parts of mathematics while obtaining his doctorate at Cambridge University in 1980, he remained interested in the Fermat theorem. He began teaching mathematics at Princeton University in New Jersey in 1982. In 1986 he learned of new results that might lead to a proof of the Fermat theorem and began a secret project to use this approach to make a proof. It took seven years of intense concentration to produce a proof, but other mathematicians pointed out flaws in the 1993 publication. In collaboration with Richard L. Taylor, Wiles resolved all the difficulties and published the final proof in 1995.

"Official References"

* Andrew Wiles (May 1995). "'Modular elliptic curves and Fermat's Last Theorem". Annals of Mathematics 141 (3): 443-551.
* Andrew Wiles and Richard Taylor (May 1995). "Ring-theoretic properties of certain Hecke algebras". Annals of Mathematics 141 (3): 553-572.

Answer 4

Andrew Wiles? Isn't his name Andrew Wiley> well either spelling he was the first person (only? not sure) to actually come up with a proof of Fermats last theorem. Although his proof is extremely long and complicated, I believe it is a couple hundred pages long, it is not the proof that Fermat had in mind since according to a scribble he made in one of his books he stated that he had a proof for his theorem but it would not fit into the margin of his book. Fermat has known for writing proof in the margins of his books as he encountered the problems.Now it is presumed that Fermat wrote his proof elsewhere but this has never been found! Anyways... Andrew Wiley is also a professor at Princeton University.

Answer 5

Sir Andrew John Wiles (born April 11, 1953) is a British-American research mathematician at Princeton University in number theory. He attended The Leys School, Cambridge and then earned his BA degree from Merton College, Oxford University in 1974 and Ph.D. from Clare College, Cambridge University in 1980. His graduate research was guided by John Coates beginning in the summer of 1975. Together they worked on the arithmetic of elliptic curves with complex multiplication by the methods of Iwasawa theory. He made major breakthroughs in the study of rational elliptic curves associated with modular forms. He is most famous for finally proving Fermat's Last Theorem.