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Wiles Proof of Fermat's Last Theorem

  1. Aug 9, 2011 #1
    Just a quick question. What areas of mathematics would I have to study to understand Wiles' proof? I know his proof involves the Modularity Theorem, Elliptic Curves etc, but to really understand the proof what other topics would I need to master?
  2. jcsd
  3. Aug 9, 2011 #2
    You need to know algebraic and arithmetic geometry quite well. Complex Analysis is probably also used.

    Here are some nice books to get you started:
    - Invitation to the mathematics of Fermat-Wiles by Hellegouarch
    - Rational points on elliptic curves by Silverman and Tate
    - Lectures on Curves, Surfaces and Projective Varieties by Beltrametti
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