We continue our journey towards a proof of the Kervaire invariant problem.

Wand to expand your horizon? Then discover one of the hardest problems in algebraic topology which has only recently been solved: the Kervaire invariant problem.

Find out how random shapes shed light on one of the hardest problems in physics.

A story from geometry shows how developments in mathematics have fundamentally changed the way we think about the world around us.

We can't visualise it, but we can still think about it! And there are clever ways of glimpsing what it might look like.

A new language to talk about quantum physics is making calculations a whole lot easier.

The Abel Prize 2025 has been awarded to Masaki Kashiwara for contributions to algebraic analysis and representation theory. Find out what this means with our article!

This article explores this most beautiful of numbers. Find out its definition, why its value can only ever be approximated, what it has to do with waves, and why it contains the history of the Universe. 

One of the most important mathematicians of her time, Noether also proved a fundamental result in physics.

To avoid full school closures in the next pandemic, or even epidemic, epidemiologists need crucial information from schools, students, and parents.

There's a romantic vision of mathematicians only needing pen and paper for their work. Here's why this is far from the truth when it comes to mathematical modelling, used to solve problems in the real world.

Combining AI with human knowledge of physics may lead to powerful applications in a range of areas — from weather forecasting to engineering.