Thinking about the dimensions of things, we recognise that the algebra we learned at school is pretty much a one dimensional affair. We will consider a new form of algebra based on two-dimensional configurations. We will have a quick look at places in mathematics and physics, such as quantum computing, where this ‘planar algebra’ appears to be necessary. The talk will be illustrated with copious anecdotes and pictures.

Vaughan Jones is Co-director of the NZIMA. He received the Fields Medal (the mathematical equivalent of the Nobel Prize) in 1990, and many other honours for his work. Among these, he was awarded a Guggenheim Fellowship in 1986, and elected a Fellow of the Royal Society of London in 1990. In 1993 he was elected to the American Academy of Arts and Science, and in 2002 he was made a Distinguished Companion of the Order of New Zealand.

6.30 pm Refreshments • 7 pm Lecture