Article
Donuts

The Quantum Hall Effect: Protected by topology

The quantum Hall effect is a curious phenomenon: not only does it make effects from quantum physics visible in the macroscopic world, it also links physics to the pure mathematical area of topology. Find out more in this article.

Article

Water, ice and broken symmetry

What does water feeding to ice have to do with symmetry? This article provides an answer and begins to tell the astonishing story of how theory once denounced as "abstract nonsense" may help us build quantum computers.

Article

Dark stars

Gravitational waves have provided a wealth of information about black holes. But could other objects be hiding in this data too? Researchers are exploring this idea, which may also help resolve the mystery of dark matter.

Article

Helping maths to help us

The mathematics of the future needs more specialist maths teachers, stronger university provision, and sustained research funding.

Podcast
Digital heart

Living Proof: Building digital hearts

A digital heart might sound like science fiction, but these personalised mathematical descriptions of patients' hearts are already being put to the test.

Article
Phone screen showing AI apps

Talking about truth with ChatGPT

How confident is the Large Language Model chatbot that its answers are correct? And how confident can we be about this confidence? This article investigates.

Podcast

Kevin Buzzard and Big Proof

How can computers best help mathematicians? Not through AI, says Kevin Buzzard, but through proof assistants. This podcast explains what they are and why they turn maths into a collaborative game of many players.