Math 311 Course Page
Texts
- Core text: Rational Points on Elliptic Curves by Silverman and Tate; ISBN: 978-0-387-97825
- Some other books you might try and find in the library (I'll put them on reserve, if necessary)
- Elliptic curves : number theory and cryptography by Larry Washington (ISBN: 9781420071467)
- Elliptic curves by Anthony Knapp (ISBN: 0691085595)
- Lectures on elliptic curves by J.W.S Cassells (ISBN: 0521415179)
- Elliptic curvers by Dale Husemoller (ISBN: 0387963715)
- Introduction to elliptic curves and modular forms by Neal Koblitz (ISBN: 0387960295)
- Arithmetic of Elliptic Curves by Silverman
- A repository of scans from books (password required)
- Mathworld has a bunch of information on some of the stuff we're talking about
- On line course notes I have not read but you might find useful:
- Sage, the computer algebra system used in this course
Rough Course Outline
- Elementary number theory: the ring of integers mod n, Chinese remainder theorem, Miller-Rabin, primitive roots
- Rational and integer points on lines and conics
- Projective Geometry
- Cubic curves
- Points of finite order
- The group of rational points
- Cubic curves over finite fields
- Elliptic curve cryptography
Grade stuff
In this course I'll expect the following of each of you:
- 1 midterm exam (February 11th) -- 10%
- 1 oral final exam (the week of April 13) -- 20%
- 12 homework assignments (due most Fridays) -- 20%
- 5 labs (assigned Jan 30, Feb 13, Feb 23, Mar 16, April 6)-- 15%
- 1 final project due exam week (along with 2 status reports March 18 and April 8) -- 25%
- a lot of class participation -- 10%
Homework Assignments
I'll post homework here.
Other Course Handouts
I'll post other stuff from the course here