Hey! I'm a postdoc at the University of Melbourne.

Did you know that the polynomial function *f(x) = x ^{3} + 6x^{2} + x* permutes the elements of

**Z**/9 (the integers modulo nine)? Not all polynomials permute the elements of the underlying coefficient ring. The ones that do are called permutation polynomials, and for finite coefficient rings the corresponding permutations form a group! Check out this recent paper to learn more about these polynomials.

Other than that, I'm interested mostly in algebra, finite rings and combinatorics, and related topics. I like to focus on concrete problems, often with a computational angle. Speaking of computational things: are you interested in finding colourful patterns? Try the game Znocks, my Znax clone written in JavaScript.