We talk to Maryna Viazovska, who in 2016 made a breakthrough in the theory of sphere packings.

In this podcast we talk to Ivan Smith, invited lecturer at the ICM, about his work and what he likes about the ICM.

We talk to two of the organisers of the ICM 2022, which will take place in St Petersburg.

In this podcast we talk to Nalini Joshi, incoming President of the International Mathematical Union, about the IMU and her work.

Clément Mouhot tells us about his work trying to understand some of the most beautiful structures in mathematics and physics.

We speak to Cheryl Praeger about her mathematics and encouraging the next generation of mathematicians.

In this podcast Jack Thorne tells us how his work is a little like "faceting a gemstone."

In this podcast we try to capture a flavour of Fields medallist Akshay Venkatesh's work.

In this podcast we ask Akshay Venkatesh what it feels like to win a Fields medal.

In this podcast we talk to Maria Esteban, mathematician and President of the International Council for Industrial and Applied Mathematics.

In this podcast David Donoho talks to us about his work revolutionising MRI scanners.

In this video we talk to Nevanlinna Prize winner Constantinos Daskalakis about his work.

In this podcast we report on the prestigious Fields medals, which were awarded yesterday at the International Congress of Mathematicians, taking place in Rio de Janeiro.

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.