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Mathematicians Encyclopedia Entry 1781979606

** The mathematician behind this entry is a renowned figure in the field of number theory, known for their groundbreaking work on **prime numbers** and **modular arithmetic**. **CONTENT:** ## Overview The mathematician behind this entry is **Andrew Wiles**, a British mathematician born on April 11, 1953, in Cambridge, England. Wiles is best known for his proof of Fermat's Last Theorem (FLT), a problem that had gone unsolved for over 350 years. His work on FLT has had a profound impact on the field of number theory, and his proof is considered one of the most significant achievements in mathematics in the 20th century. Wiles' work on FLT was a culmination of years of research and collaboration with other mathematicians. He was a professor at Princeton University at the time of his proof and had been working on the problem for over seven years. His proof, which was announced in 1994, was a major breakthrough in mathematics and has had far-reaching implications for the field. ## History/Background Andrew Wiles was born in Cambridge, England, and grew up in a family of mathematicians. His father was a professor of mathematics at the University of Cambridge, and Wiles was exposed to mathematics from a young age. He attended King's College School in Cambridge and later studied mathematics at Clare College, Cambridge, where he earned his undergraduate degree. Wiles went on to earn his Ph.D. in mathematics from the University of Cambridge in 1981. His thesis, which was supervised by John Coates, focused on the arithmetic of elliptic curves. After completing his Ph.D., Wiles worked as a research fellow at the University of Cambridge and later as a professor at Princeton University. ## Key Information Wiles' proof of Fermat's Last Theorem is a major achievement in mathematics, and it has had a significant impact on the field of number theory. FLT states that there are no integer solutions to the equation \(a^n + b^n = c^n\) for \(n > 2\). Wiles' proof uses a combination of techniques from number theory, algebraic geometry, and modular forms to show that FLT is true. Wiles' work on FLT has also led to a deeper understanding of the properties of **elliptic curves** and **modular forms**. His proof has been widely acclaimed and has been recognized as one of the most significant achievements in mathematics in the 20th century. ## Significance Wiles' proof of Fermat's Last Theorem has had a profound impact on the field of number theory. It has led to a deeper understanding of the properties of **prime numbers** and **modular arithmetic**, and it has opened up new areas of research in mathematics. Wiles' work on FLT has also had a significant impact on the public perception of mathematics. His proof was widely publicized in the media, and it has helped to raise the profile of mathematics as a field of study. Wiles has also been recognized for his contributions to mathematics, and he has received numerous awards and honors for his work. **INFOBOX:** - Name: Andrew John Wiles - Type: Mathematician - Date: Born April 11, 1953 - Location: Cambridge, England - Known For: Proof of Fermat's Last Theorem **TAGS:** Fermat's Last Theorem, Number Theory, Modular Arithmetic, Elliptic Curves, Modular Forms, Prime Numbers, Mathematics, Andrew Wiles.