nLab Andrew Wiles

Andrew Wiles is professor for pure mathematics at Oxford.

• webpage

• Wikipedia entry

Wiles is famous for having proved the Taniyama-Shimura conjecture, also known as the modularity theorem.

Selected writings

On the modularity theorem:

• Andrew Wiles, Modular Elliptic Curves and Fermat’s Last Theorem, Annals of Mathematics Second Series, 141 3 (1995) 443-551 $[$doi:10.2307/2118559$]$

• Richard Taylor, Andrew Wiles, Ring-Theoretic Properties of Certain Hecke Algebras, Annals of Mathematics Second Series 141 3 (1995) 553-572 $[$doi:10.2307/2118560$]$

Proof of the main conjecture of Iwasawa theory:

• Barry Mazur and Andrew Wiles, Class fields of abelian extensions of $\mathbb{Q}$, Invent. Math. 76 (1984) 179–330 [eudml:143124, MR0742853]

On function field analogy:

• Barry Mazur and Andrew Wiles, Analogies between function fields and number fields, American Journal of Mathematics Vol. 105, No. 2 (Apr., 1983), pp. 507-521 [JStor]

category: people