How do green algae manage a perfect breaststroke even though they haven't got a brain? Enter the maths of synchronisation.

How far can virus-carrying droplets fly in different environments — from buses to supermarkets? Maths can provide some answers.

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 human physiology and evolution.

We can't let penguin awareness day pass without a look at some penguin maths.

Sara Zahedi has won a prestigious prize at the European Congress of Maths. Your future medical diagnoses, and even the welfare of sea life, may depend on her work.

The mathematical problem with turbulence.

As your cereal tumbled into your bowl this morning, were you daydreaming of sand dunes or snowy mountains? It wouldn't be surprising given the drab grey skies outside. But now you have another excuse: the cereal, sand and snow can all be examples of granular flows.

Ocean waves are not moving walls of water. Instead, it's some kind of energy that moves along. But then, what happens to the water itself? This isn't just an idle question to ponder while watching the ocean — its answer may help protect us from it too. And it requires some sophisticated maths.

Few things in nature are as dramatic, and potentially dangerous, as ocean waves. The impact they have on our daily lives extends from shipping to the role they play in driving the global climate. From a theoretical viewpoint water waves pose rich challenges: solutions to the equations that describe fluid motion are elusive, and whether they even exist in the most general case is one of the hardest unanswered questions in mathematics.

It's not just evil villians who can blow smoke rings, it seems peat moss has been doing it for millennia.