Trying to solve a Rubik's cube? A Cayley graph gives you a road map for doing this — and is similarly useful for dealing with any other type of mathematical group!

As artificial intelligence becomes increasingly important in our society, can philosophy offer us a way to explain decisions made by AI systems?

Learn how lengths, areas, and volumes generalise to the concept of measure, and how this relates to integration and probability.

Frederick Manners  has won a prestigious EMS Prize at the European Congress of Mathematics 2024 for, among other things, a problem involving pyjamas.

Find out what it means for a shape to have fractional dimension.

Tom Hutchcroft has won a prestigious EMS Prize at the European Congress of Mathematics 2024, for work on mathematical models that can help us figure out phase transitions.

Richard Montgomery has won a prestigious EMS Prize at the European Congress of Mathematics 2024 for work on objects so ubiquitous in everyday life it's easy to forget they're mathematical: networks.

This article describes how you can describe the entire universe of Riemann tori (surfaces that look like dooughnuts) in one go.

A Riemann torus is a surface that looks like a doughnut. This articles explored how you might tell Riemann tori apart.

How many different surfaces are there? The question seems impossible to answer, but mathematicians have a way of dealing with the multitude. Follow us on a journey into the world of moduli spaces.

With bird flu spreading through cattle herds in the US and infecting humans, the diseases poses a severe threat to wild life, poultry and also people. What can mathematical modelling do to help?