Category Archive: Main Article

Surfaces 2: Algebraic Surfaces

Some exploration of algebraic surfaces and how to design them.

Surfaces 1: The ooze of the past

Curves and surfaces are a wonderful visual representation of mathematics. They can move from the simple and profound to the complex and intriguing. They have even been accused of being part of a sinister plot. In addition the mathematics behind them is becoming increasingly useful in many areas, algebraic statistics for example.

Polymath

Finally a new mathematics post!.   I have been holding out on commenting on the fascinating polymath project for a while, even though it touches on my central topics of maths and communication.… Continue reading

Airports

I have been travelling too much recently.  Yes it has been great for my creativity and I have had some amazing times, but it has been accompanied by a lack of stability and… Continue reading

The search for the truth can never stop.

This is a first obituary (of a sort) for these writings.  I do not think I would have predicted that this would be a playwright, not a mathematician.  This might seem a little… Continue reading

Responsibility of Mathematicians

This week, my apologies, the post is a little late.  However I have an excuse!  I wanted to put the piece below out, but wanted to make sure that it had been published… Continue reading

How to improve your talks

There is one thing that can improve any talk.  From the most brilliant piece of oratory to the dullest seminar.  It is not even hard to achieve, and requires very little skill, just… Continue reading

Book Review: Mathematics a Very Long Introduction

I recently received my copy of the wonderful The Princeton Companion to Mathematics.  In the title of this piece, I could not help making the obvious joke, as the editor Tim Gowers also… Continue reading

About my art

This piece was originally written for a poster on my art work (shown below).  It had to be shortened, partly as a poster can only have so much text and partly as the… Continue reading

Rep-tiles, or how mathematicians start to puzzle and open up questions.

Some thoughts on rep-tiles (mathematical tilings no animals) with ideas about the mathematical thought process and lots of pictures.

Working with constraints

There is a theory that one can have too much freedom, at least in art.  With constraints the imagination is forced to work harder, and might achieve an elegance and beauty unobtainable when… Continue reading

Mathematics, Computers and Zeilberger

This piece is a ramble through a collection of thoughts linked to and influenced by the opinions of Doron Zeilberger. It starts with the uncertainty of proof and discusses the importance of computers before concluding with the future of mathematics in the large but finite.