About Me

Curriculum Vitae

Where I am, what I'm doing, what I've done.

Weekly schedule

When and where I am this term.

Teaching (Winter 2012)

MATH 2240

Differential Equations I.

PHYS 3200

Advanced Mechanics.

MATH 4990

Mathematics of Music.

A LaTeX class for TRU theses

If you're using LaTeX to typeset your Honours thesis (you are, aren't you?) then you want this.

Research

Dynamical systems and ergodic theory

An all-purpose description of my major research projects.

Approximating Chaotic Saddles for Delay Differential Equations

Preprint of some recent work on numerical analysis of transient chaos in DDEs.

Probabilistic Properties of Delay Differential Equations

Full text of my PhD thesis.

Chaotic transport through the solar system

Slides from a talk I gave a few times in 2006. Also my first experiment with Prosper.

Consonance and Dissonance

Slides from a talk I gave on mathematics and music in 2010.

Calculus of Variations

Slides from a talk I gave in 2007.

Tablix

Implementation of a genetic algorithm for scheduling optimization. I've contributed some code to this project and used it to optimize the course schedule at Okanagan College and the job rotations in the laboratory at Royal Inland Hospital.

R Project for Statistical Computing

"R" is a high-level scripting language for numerical and graphical work, somewhat like Octave or Matlab. It's free and open source. All the images shown here were made with the help of R.

Images

Miscellaneous Images

My research often leads to interesting images. Some of these are my takes on well-known examples; some are my originals. Click the thumbnails for details and (mostly inadequate) explanations.

Basins of attraction for a magnetic pendulum

Some nice images of basins of attraction for a 3D pendulum suspended over magnets.

Strange attractor for a periodically forced pendulum

A classic. More fractal images and psychedelic animations.

Newton's Method

Fractals show up when Newton's method is used to find complex roots of a polynomial. Another classic.

Basins of attraction for delay differential equations

I've found transient chaos and fractal basins in some delay differential equations. Pretty pictures.

External Links

MathWorld

An extensive mathematical reference. I use this a lot.

Wikipedia

The open free encyclopedia. Related articles on dynamical systems, chaos and ergodic theory.

Ubuntu

My operating system of choice.