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Andrew Wiles’s Marvelous Proof [Darmon] - mklabgr - 06-25-2026
Andrew Wiles’s Marvelous Proof
BY Henri Darmon
Summary
The article from the Notices of the AMS (Vol. 64, No. 3, pp. 209–216) is Henri Darmon’s exposition titled “Andrew Wiles’s Marvelous Proof.” It offers a human and accessible walkthrough of Wiles’s celebrated proof of Fermat’s Last Theorem, explaining not just what was proven but why it was such a turning point in mathematics.
Instead of focusing on heavy technical details, the article highlights the deep ideas behind the proof—linking elliptic curves and modular forms—and shows how decades of work in seemingly unrelated areas of number theory unexpectedly came together. It also reflects on the emotional and intellectual journey of the mathematics community as Wiles’s proof resolved a problem that had stood for over 350 years, turning a legendary conjecture into a cornerstone result of modern mathematics.
ARTICLE