How do green algae manage a perfect breaststroke even though they haven't got a brain? The maths of synchronisation explains and even sheds light on evolution.

Many things in nature seem to be striving for a purpose — the carefully choreographed flocking of birds is an example. Are these birds smart enough to follow a common goal or is the apparent purpose an illusion? Find out with these articles. (Photo: Walter Baxter.)

A hundred years ago the self-taught genius Srinivasa Ramanujan was elected Fellow of the Royal Society. Here is a look at the maths that gained him the title.

Machine learning is the most important recent development in artificial intelligence. Find out how it works, what it can do, where it comes from and whether it's ethical with this collection of articles.

Keats complained that a mathematical explanation of rainbows robs them of their magic, conquering "all mysteries by rule and line". But rainbow geometry is just as elegant as the rainbows themselves.

Traffic jams are particularly annoying when they occur for no apparent reason. A little maths goes a long way in explaining and avoiding such phantom jams.

The upcoming European Parliament elections are a political problem for the UK. But they also present a mathematical challenge which mathematicians from around Europe have been invited to solve.