Brief, fairly technical overview of what I’ve been working on these last few months.
Archive of posts filed under the PhD category.
Addition Chains
Fast addition (or exponentiation) via addition chains.
The Mathematics of Being Nice
Talk for the postgraduate colloquia series
The death of an algorithm
I’ve never really intended for this blog to chart my personal experience of the PhD process – more eloquent authors have already captured the highs and lows of mathematical research. So I don’t intend to start now, save to note that the algorithm I’ve been working on for the last month or so has ultimately [...]
Conference Season
Travel plans for conferences in 2007.
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.
Genus 2 jacobian group law in Maple
Maple procedures for working with the group of rational divisors of a genus 2 hyperelliptic curve; designed for compatibility with generic_group procedures.
Computation in the jacobian of hyperelliptic curves
Polynomial representation of divisors and the notion of rationality.
From points to divisors: the jacobian.
Extending the idea of the group of rational points of an elliptic curve to higher genus: the jacobian of a hyperelliptic curve.
