MTH416: Arithmetic of elliptic curves

        [Cr:4, Lc:3, Tt:1, Lb:0]

Course Outline

The course aims to introduce elliptic curves and their moduli with an emphasis on curves over finite and number fields. Statements of theorems will be explained in detail and some relevant proofs will be given. Some examples of classical problems that can be studied using elliptic curves will be taken up and the use of the SAGE system to make calculations on elliptic curves will be introduced.

The following advanced topics could also be addressed:

Recommended Reading