MATH70064 - Elliptic Curves

Lecture notes

Here are the lecture notes. They are mostly taken from the above references. I will be updating these as we go along.

Exercises

We will go through most of the exercises from Cassels' book. I will post my solutions here as we cover the chapters (I expect to cover 2/3 of the book). You should first attempt to solve the exercises yourself. If you struggle to come up with a solution, then you can read the solutions that I provide. Some problems took me several hours to solve and it does feel good when you solve it. If any errors (even typos) are detected, please send a query to the course email list.

Coursework

There will be 2 problem sets which will be posted here.
Each problem set will constitute %5 of your final grade.
Please submit your solutions as a PDF.

Exam

The exam constitutes %90 of your final grade.
Everything in the lecture notes (unless marked otherwise) is examinable.
The exam questions will be solvable with the material covered in the lecture notes.
Alternatively, if you have mastered the books listed above, you should be set for the exam.

Extra