View as: At The Diverse Faces of Arithmetic there were a pair of (early morning!) overview lectures for postgraduates. I’ve finally got around to typesetting my notes from the first, Tom Ward’s session on recurrence sequences, available as pdf via the above link. The topics included are divisibilty sequences and primitive divisors; linear recurrences; elliptic [...]
Archive of posts filed under the Number Theory category.
MAGIC Talk
Slides for a talk on cyclotomic matrices/graphs given at the MAGIC conference in Manchester.
What I’m working on…
Brief, fairly technical overview of what I’ve been working on these last few months.
The Extended Euclidean Algorithm
Some notes on Euclid’s algorithm and its extension for solving linear Diophantine equations in two variables.
Addition Chains
Fast addition (or exponentiation) via addition chains.
Elliptic Nets
The generalisation of Elliptic Divisibility Sequences to higher rank.
More on Elliptic Divisibility Sequences
From EDS to elliptic curves.
Elliptic Divisibility Sequences revisited
SAGE procedures for computing with EDS.
First Year Presentation
Slides and Report from my first year presentation on the point counting problem.
Geometry Club Talk: Hyperelliptic curves
Slides from my talk on the geometry of hyperelliptic curves in connection with cryptography.
