Fall 2003–04
Ma 105 - Elliptic Curves
MW 3:00 – 4:30  // 153 Sloan

 Lloyd Kilford

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Course Objective: This course aims to be an accessible introduction to the theory of elliptic curves, which will begin with some historical material, and then define the group law.

We will then prove some useful and interesting theorems on elliptic curves over number fields and finite fields, and then give some applications, such as Diophantine equations and cryptographic uses of elliptic curves.

Prerequisite: Ma 5, Ma 7, or equivalent at instructor's discretion

Text: The class text will be Rational Points on Elliptic Curves by Silverman and Tate.

Grading Policy: There will be weekly homeworks and a final examination. These will each be worth 50% of the final mark