I’ll tell you about some extremely clever methods to tell graphs and knots apart, involving polynomials: the Tutte and HOMFLY polynomials. And they’re closely related.

## Holy h-principle, Batman!

In which I attempt to explain some of the ideas behind the h-principle.

## Every world in a grain of sand: John Nash’s astonishing geometry

After the recent tragic death of John Forbes Nash Jr, many tributes have been paid to this great mathematician, who was made famous by the movie “A Beautiful Mind”, and much has been said about his work on game theory. But less has been said about Nash’s other mathematical achievements.

## Paranoid defence controls could criminalise teaching encryption

You might not think that an academic computer science course could be classified as an export of military technology. But under the Defence Trade Controls Act – which passed into law in April, and will come into force next year – there is a real possibility that even seemingly innocuous educational and research activities could fall foul of Australian defence export control laws.

## Why your calculator (and computer, and phone…) is a weapon

The Australian government may have classified your calculator — and phone, and computer, and every electronic device you own — as military weapons.

## The Lost Art of Integration Impossibility

Integration is less a science and more an art form. It high time we shed some light on this lost art.

## Hyperbolic links

A set of links I collated about hyperbolic geometry.

## Quadratic geography, algebraic extreme sports and magical Farey trees

Published in the Australian Mathematical Society Gazette “Mathellaneous” column.

## Games with Galois

In 2004 for the Mathellaneous column of the AustMS Gazette, I wrote an article about games and Galois theory.

## A Beautiful Sequence

In 2004, I wrote a recreational article for the Australian Mathematical Society Gazette about one of my favourite sequences.