In this podcast Fields medallist Figalli tells us about his work and what receiving such a high honour feels like.

If there's a multiverse, then how many of its component universes are like our own?

John D. Barrow talks to us about the laws of nature, how the complexity of the world conceals elegant mathematical symmetries, and how chaos can arise from order.

Chris Budd tells us how big data can be used to model riots, analyse photos and shorten airport queues.

What do physicists at CERN mean when they talk about "sigma levels"?

Pau Figueras explains how Einstein's theories predicted the existence of black holes, and how to describe them mathematically.

We asked cosmologist Pau Figueras everything we’ve ever wanted to know about black holes. In this podcast he explains what black holes are, physically, and how we hope to observe them.

Is cosmology a science or a branch of philosophy? Mathematician and astronomer Bernard Carr gives some answers.

We talk to Shajay Bhooshan about his design for the new maths gallery at the Science Museum London.

In this podcast George Ellis explains why the study of the cosmos poses some deep philosophical questions.

If you're going to excel in maths it helps to start early — and that's what Peter Scholze certainly did.

Ingrid Daubechies, President of the International Mathematical Union, about the importance of community in mathematics.

Martin Grötschel, Secretary of the International Mathematical Union, about maths at school, integrating developing nations, and his dream of putting all maths that's ever been produced online.

Manjul Bhargava tells us why playing with maths in important in finding your own way of thinking.

Why doing maths is like being Lewis Carroll's Red Queen and how to keep going beyond the formidable age of 84.

Artur Avila tells us about taming chaos.

How burning paper can win you a prestigious maths prize.

Cormac O' Raifeartaigh recently made a surprising discovery – an unpublished paper by Albert Einstein that sheds light on how Einstein's thinking about the Universe changed as he tackled some of the big questions in cosmology at the time.

Fields medallist Cédric Villani talks to us about our solar system, chaos, and what it's like being a mathematical superstar.

In this podcast we talk to Max Tegmark about his hypothesis that the Universe we live in is a mathematical structure.

Mathematics and theatre are both imagined things that need to be consistent. So what better way to explore mathematical ideas than through theatre? We talk to Marcus du Sautoy, Victoria Gould and Dermot Keany about their new show, X&Y.

Is the Universe finite or infinite? Is there infinity inside a black hole? Is space infinitely divisible or is there a shortest length? Can infinity occur at all in the cosmos or is it a mathematical construct? Find out more in our podcast with Anthony Aguirre, John D. Barrow and George Ellis.

Mathematics does incredibly well at describing the world we live in. Could that be because the Universe itself is a mathematical structure? It's a suggestion that has been put forward by the cosmologist Max Tegmark. We talked to him to find out more.

Travelling Salesman is an unusual movie: despite almost every character being a mathematician there's not a mad person in sight. Moreover, the plot centres on one of the greatest unsolved problems in mathematics. We were lucky enough to speak to the writer/director Tim Lanzone about creating drama from mathematics.