These are random things I have produced for fun. Or, well, ``fun". Things like:

Introductory talks

In August 2017 I gave a talk on some of the mathematics of Maryam Mirzakhani, the great Iranian matheamtician, first female Fields Medallist. This was a Monash LunchMaths seminar.

I gave an outreach talk to secondary students at PLC about mathematics and mathematicians, talking about, among other things, topology, Maryam Mirzakhani, and billiards, in July 2017.

I gave a talk about the Defence Trade Cooperation Act, encryption, and number theory, as part of the Monash University LunchMaths seminar series, in August 2015.

I gave an introductory talk on Topology, as part of the Monash University LunchMaths seminar series, in August 2014.

I gave an introductory talk on Hyperbolic Geometry, as part of the Monash University LunchMaths seminar series, in September 2013.


Here are a few recreational articles I wrote for the Australian Mathematical Society Gazette, a general interest mathematical publication.

  • A Beautiful Sequence, Australian Mathematical Society Gazette, Vol. 31 No. 1 (pdf): An ode to my favourite sequence.
  • Games with Galois, Australian Mathematical Society Gazette, Vol. 31 No. 2 (pdf): Lots of fun for all! I also slightly expanded this for Vinculum, a journal of the Mathematical Association of Victoria (30/7/07) (tex, dvi, pdf)
  • Quadratic geography, algebraic extreme sports and magical Farey trees, Australian Mathematical Society Gazette, Vol. 31 No. 3 (pdf)

Knot Man

Of course the most important part of this webpage is the part devoted to mathematical superhero Knot Man. Known to others as Theodore J. Knott, in times of mathematical emergency, with his topological utility belt and supply of high-energy genus-1 donuts, he becomes Knot Man, Defender of the Mathematical Universe, saving the world from all manner of crazed physicists and economists!

I stress that I wrote Knot Man, because I certainly couldn't draw it. Priscilla Brown was the illustrator.

Here is a link to the cartoons page at the Paradox site.

I have discovered that there might just exist a mathematical comic which is even geekier than Knot Man! Is that possible? Check out Sammy the Graduate student, by Chris Tuffley, for yourself! And of course, no discussion of mathematical comics would be complete without mentioning xkcd.

MUMS, the Melbourne University Mathematics and Statistics Society, published a compendium of the various mathematical comics which have appeared over in the magazine Paradox over the years, available here. I wrote a preface for the occasion (tex, dvi, pdf, doc).



And here are a few, perhaps not quite as polished, articles I have wrote for Paradox, the magazine of MUMS, the Melbourne University Mathematics and Statistics Society.

  • The Exotic Realm of p-adic Numbers, Paradox 2003 Issue 3 (tex, dvi, pdf): Very simple very brief introduction
  • Some Mathematicians Like it Hot: Fourier and Descartes, Paradox 2003 Issue 1 (tex, dvi, pdf)
  • Adventures with Pascal's triangle and binary numbers, Paradox 2001 (tex, dvi, pdf)
  • Mathematical Haiku, Paradox 2000 (the dates on the tex and pdf versions are wrong)(tex, dvi, pdf)


And here are a few notes I have written on various papers and books by other people; very sketchy, missing proofs, probably full of mistakes, but attempting to convey the gist of what's going on. They are meant to be easier to read than the original, or as an adjunct. They are to be read for the gist, not the details. That said, if you want to point out mistakes or make suggestions, go ahead!

  • Complex vector spaces, duals, and duels: Fun with a number, or two, or four (30/12/07) (tex, dvi, pdf). An interesting complex complexity. (8 pages)
  • Notes on Giroux's 1991 paper, ``Convexite en topologie de contact" (14/3/07) (tex, dvi, pdf). Basic results and the power of convex surfaces. (25 pages)
  • Basic ideas about laminations (6/3/07) (tex, dvi, pdf). Based on Casson and Bleiler's book. (29 pages)
  • Notes on Eliashberg's 1989 paper, ``Classification of overtwisted contact structures on 3-manifolds" (6/3/07) (tex, dvi, pdf). (7 pages)
  • Notes on Eliashberg's 1992 paper, ``Contact 3-manifolds twenty years since J. Martinet's work" (6/3/07)(tex, dvi, pdf). (14 pages)