MATH70064 - Elliptic Curves
- Lecture times and place : ???
- Office: HXLY 676
- Office hours: Tuesday 15-16
- References: These are some of the books that I will be drawing from for the lectures
- J. W. S. Cassels - Lectures on Elliptic Curves
- J. H. Silverman, J. T. Tate - Rational points on Elliptic Curves (Second Edition)
- J. H. Silverman - The Arithmetic of Elliptic Curves (Second Edition)
- There is an e-mail list. To receive the announcements related to the course, please send me an e-mail if you are going to continue with this course.
Lecture notes
Here are the lecture notes. They are mostly taken from the above references.
Exercises
We will go through first half of Cassels' book with some modifications. The exercises in this book are great.
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. I also welcome alternative approaches.
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.
In the exam, unless you provide the proof, you are not allowed to use results that we have not proved in the class (for example, Mazur's theorem cannot be used).
Extra