What do the human brain, the Internet and climate change have in common? They're all hugely complex and can only be understood with maths.

Does it? We talk to some big names in the field to find out.

The Universe is an infinitely self-perpetuating foam of bubbles.

Open door number 6 and step inside a mathematical space!

The Fourier transform is a piece of maths that is, almost single-handedly, responsible for the digital revolution. We asked Chris Budd what the Fourier
transform does, and how it does it. This podcast accompanies the Plus
article Saving lives: The mathematics of tomography.

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.

It's the time of the year for cough sweets, flu medication and paracetamol. But how do we know these and other medicines really work?

Find out about what's involved in building a football stadium and why it requires listening to Belgian techno.

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.