First of all, there is the Iberian Lynx at the top of this page. Go to the Wikipedia page and see how much their range has shrunken since 2000. Then, on the internet side of things …..

Prof. Wulf Rossmann’s site with his papers and books

Wulf Rossmann is a very fine technical writer and mathematician whose introductory Lie theory book I greatly admire.

The Stanford Encyclopedia of Philosophy

Wonderful to browse when mulling over foundations of physics and mathematics

Physics Stack Exchange; my user page is here.

Physics stack exchange is a questions and answers site for all things physical. As one user eloquently puts it, where Wikipedia is like a wonderful reference library, Physics Stack Exchange is like a living scholar.

Prof. John Stillwell’s site

John Stillwell has written some excellent undergraduate and graduate level texts. I took several of his courses at Monash University. One that stands out in my memory was a small class of maybe seven students learning Galois theory. Prof. Stillwell was learning Galois theory thoroughly himself at the time, and was very open and honest about this whilst teaching. So we all read Galois theory together, and got to see several draughts of several key lectures as Prof. Stillwell refined them. My impression of him was of a kind of Mathematical Feynman (in the teaching sense – my impression of him is of a quieter personality than the larger than life tales of Feynman’s boisterous and rowdy exuberance would bespeak of Feynman), seeking tirelessly to ever improve his explanations and his teaching approach. I hope he wouldn’t mind my saying that teaching didn’t come naturally to him – he achieved excellence through thoroughness and hard work. But I don’t believe good teaching is any other way.

All of his books, at least the ones I have read, are worth reading even if you ken the topic in question inside out. You’ll find a highly rigorous, insightful and Feynmannian approach to all things mathematical. I see that he has just published an undergrad text on real numbers and set theory. Nothing in the whole of science is scarier to me than $\mathbb{R}$, so I’m looking forward to reading his ideas for teaching here.

MathOverflow and Mathematics Stack Exchange

Like Physics Stack Exchange, living scholars, but for mathematics; the former for research level questions. Again, very fun and addictive to browse.

Planet Math

“Math by the people, for the people”, an encyclopoedia for mathematical theorems, lemmas and their proofs. Clear and elegant proofs at the lowest practicable level needed to uphold rigor are emphasised.

Proof Wiki

An online compendium of mathematical proofs.

Jane Routley

My sister in law, much beloved Aunt to my beautiful children, sister to my beautiful partner and fantasy and science fiction writer.

Prof. François Ladouceur’s Page

Homepage for Prof. François Ladouceur at the University of New South Wales. One of my former colleagues in photonics research. An enthusiastic, orignal thinker and great fun to work with

Prof. Leon Poladian

Another of my former colleagues in photonics research. A highly original thinker, researcher and educator.

Geoffrey Chaucher at the Luminarium Anthology of English Literature

Links to all kinds of resources, including sound bites of reconstructed middle English readings from the Canterbury Tales.

Old English at the University of Virginia

Old English is something else that fascinates me. Maybe one day I’ll land a speaking role as the narrator in a subtitled original language feature length movie production of Beowulf!

Welcome to the World, Baby Girl

Most likely, the most memorable book I have read in the last twenty years.

Online Feynman Lectures on Physics

A beautifully presented online version of the lectures: the text and equation rendering is truly impressive. Be patient: can be a little slow to load.

Why String Theory

Some great introductory pages on string theory and what drives this massive project.

Post on Impossibility Theorems on Cristi Stoica’s Blog “Unitary Flow”

The application of impossibility theorems (in the mathematical sense) is fraught with danger – are our assumptions right. Cristi gives a wonderful example of how Euler’s Solution Königsberg Bridge Problem has an assumption that is not in keeping with reality (the Pregel river has a spring, and thus does not sunder the plane into half-infinite regions); Euler’s solution even shows us how to take account of the real situation.