I spent last week in New Orleans for the Joint Mathematics Meetings 2011. I’d made a rather last minute booking after noticing a couple of sessions could be useful, and hadn’t quite grasped the scale of the event. I’d normally think of 200 mathematicians as a large gathering, but the JMM had over six thousand [...]
Archive of posts filed under the Algebra category.
First Year Presentation
Slides and Report from my first year presentation on the point counting problem.
Mathematical tourism
In search of the quarternions.
A less very, very stupid way of counting points on elliptic curves
Sidestepping brute-force determination of the number of points over a finite field by construction of zeta functions.
Small defect types in Maple
Maple procedures for finding polynomials of a given trace and degree; hence for establishing the possible types of zeta function for small defect.
The Torsion subgroup of an Elliptic Curve
Yet more Maple code, this time for finding/classifying torsion points of an elliptic curve.
Implementing the Group Law Algorithm in Maple- finite fields
Extension of Maple code to finite fields.
Implementing the Group Law Algorithm in Maple- Examples
Sample problems from Silverman on the Elliptic curve group law.
Implementing the Group Law Algorithm in Maple- Code
Maple procedures for group law computation on Elliptic curves.
Lecture notes- Galois Theory
Notes from MA40037 Galois Theory, as pdf.
