Andrew Wiles

Andrew Wiles is a renowned British mathematician who has made significant contributions to the field of number theory, particularly in the area of elliptic curves and modular forms. His work has been influenced by prominent mathematicians such as Richard Taylor and John Coates, and he has collaborated with institutions like the University of Cambridge and the Institute for Advanced Study. Wiles' research has also been shaped by the work of Pierre de Fermat, Leonhard Euler, and Carl Friedrich Gauss, and he has presented his findings at conferences like the International Congress of Mathematicians.

● Early Life and Education

Andrew Wiles was born in Cambridge, England, to a family of Church of England clergy, and his early life was marked by a strong interest in mathematics and science. He was educated at King's College School, Cambridge, and later at Merton College, Oxford, where he earned his Bachelor of Arts degree in mathematics and was influenced by the work of Alan Baker and Bryan Birch. Wiles then moved to Clare College, Cambridge, to pursue his Ph.D. under the supervision of John Coates, and his research was also guided by the work of David Mumford and Yuri Manin.

● Career

Wiles' academic career has spanned several institutions, including Princeton University, where he held the position of Professor of Mathematics, and the University of Oxford, where he is currently a Royal Society Research Professor. His research has focused on number theory, particularly in the areas of elliptic curves and modular forms, and he has collaborated with mathematicians like Christophe Breuil and Brian Conrad. Wiles has also been affiliated with the Institute for Advanced Study and has presented his work at conferences like the International Mathematical Union and the American Mathematical Society.

● Fermat's Last Theorem

Wiles' most notable achievement is his proof of Fermat's Last Theorem, a problem that had gone unsolved for over 350 years, and his work was influenced by the contributions of Pierre de Fermat, Leonhard Euler, and Adrien-Marie Legendre. The theorem states that there are no integer solutions to the equation a^n + b^n = c^n for n greater than 2, and Wiles' proof relied on the development of modular forms and elliptic curves, as well as the work of Gerhard Frey and Ken Ribet. The proof was announced in 1993 at Cambridge University and was later published in the Annals of Mathematics, a journal affiliated with the Princeton University.

● Awards and Honors

Wiles has received numerous awards and honors for his contributions to mathematics, including the Abel Prize, which he was awarded in 2016 by the Norwegian Academy of Science and Letters, and the King Faisal International Prize, which he received in 1998 from the King Faisal Foundation. He has also been awarded the Schock Prize by the Royal Swedish Academy of Sciences and the Wolf Prize in Mathematics by the Wolf Foundation, and he has been elected a Fellow of the Royal Society and a Foreign Honorary Member of the American Academy of Arts and Sciences and the National Academy of Sciences.

● Personal Life

Wiles is known to be a private person, but it is known that he is married to Adele Wiles and has two daughters, and he has been influenced by the work of Isaac Newton and Archimedes. He has also been involved in various philanthropic activities, including supporting the Mathematical Sciences Research Institute and the Clay Mathematics Institute, and he has presented public lectures at institutions like the University of California, Berkeley and the Massachusetts Institute of Technology. Wiles' work continues to have a significant impact on the field of mathematics, and his legacy is recognized by institutions like the London Mathematical Society and the European Mathematical Society.