Andrew Wiles

Andrew Wiles is a Professor at the Mathematical Institute, University of Oxford. He holds the title of Sir and is a Fellow of the Royal Society (FRS), recognized for his profound contributions to number theory.

His research spans the breadth of number theory, with a focus on arithmetic geometry, modular forms, elliptic curves, Galois representations, and Iwasawa theory. Wiles is renowned for his proof of Fermat's Last Theorem, a landmark achievement that utilized deep connections between elliptic curves and modular forms.

An analysis of his recent publications reveals a continued emphasis on the interplay between Galois representations and automorphic forms, with investigations into residual irreducibility, class groups of quadratic fields, and the Birch and Swinnerton-Dyer conjecture. His work often bridges algebraic and analytic aspects of number theory.

Wiles has been honored with the following distinctions:

• Fellow of the Royal Society (FRS)
• Knighthood for services to mathematics

While specific details of his advisees and grants are not provided in the text, Wiles has mentored numerous students and researchers in the field of number theory. His leadership in the Number Theory research group at Oxford continues to foster cutting-edge research.

He is a key member of the Number Theory research group within the Mathematical Institute, contributing to a vibrant academic environment that explores fundamental questions in mathematics.