📜 Theorem, law or theory

Ribet's theorem

Teorema de Ribet

Date
1986 · confidence low
Place
Berkeley, California, United States
Credited to
Conjectured by Jean-Pierre Serre and proved by Ken Ribet
Field
Knowledge & symbols

What was discovered

Theorem showing that the Taniyama–Shimura conjecture implies Fermat's Last Theorem in the semistable case, removing a key step toward its full proof.

What it led to

  • Andrew Wiles's proof of Fermat's Last Theorem
  • Advances in the modularity conjecture
  • Development of Galois representations attached to modular forms
  • Consolidation of the Langlands program
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Sources✓ verified 2026-09-28