Modular elliptic curves and Fermat ’ s Last Theorem

  title={Modular elliptic curves and Fermat ’ s Last Theorem},
  author={Andrew Wiles},
When Andrew John Wiles was 10 years old, he read Eric Temple Bell’s The Last Problem and was so impressed by it that he decided that he would be the first person to prove Fermat’s Last Theorem. This theorem states that there are no nonzero integers a, b, c, n with n > 2 such that an + bn = cn. The object of this paper is to prove that all semistable elliptic curves over the set of rational numbers are modular. Fermat’s Last Theorem follows as a corollary by virtue of previous work by Frey… CONTINUE READING
Highly Cited
This paper has 25 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.
20 Citations
23 References
Similar Papers


Publications referenced by this paper.
Showing 1-10 of 23 references

Deforming Galois representations

  • B. Mazur
  • Galois Groups over Q, vol. 16, MSRI Publications…
  • 1989
Highly Influential
20 Excerpts


  • E. de Shalit, Iwasawa Theory of Elliptic Curves with Complex Multiplication, Persp. in Math., Vol
  • Academic Press,
  • 1987
Highly Influential
9 Excerpts

Cohen-Macauley Rings

  • W. Bruns, J. Herzog
  • Cambridge University Press
  • 1993

Two weight in Serre’s conjecture on modular forms

  • B. Edixhoven
  • Invent. Math
  • 1992

The structure of the minus class groups of abelian number fields, in Seminaire de Théorie des Nombres, Paris (1988-1989)

  • R. Schoof
  • Progress in Math. 91,
  • 1990

Tilouine, Représentations galoisiennes, differentielles de Kähler et conjectures principales

  • J. B. Mazur
  • Publ. Math. IHES
  • 1990

Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication

  • K. Rubin
  • Invent. Math
  • 1987

Similar Papers

Loading similar papers…