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.

We explore a famous problem which shaped 20th century topology. 

We take it back to the basics by looking at some favourite number families — from natural to irrational and from prime to complex.

How can statistics help us to make informed decisions. Find out with this brief explanation of hypothesis testing?

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

To celebrate today we revisit interviews with four women mathematicians who are not only brilliant at doing the maths, but also at communicating it to wider audiences.

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.

What are mathematical invariants and why are they useful?

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!