# University of Cambridge

Is the Universe finite or infinite? Is there infinity inside a black hole? Is space infinitely divisible or is there a shortest length? We talk to philosophers and physicists to find out.

Are there parallel universes? Universes in which, rather than reading this article, you are still asleep; in which you are happier, unhappier, richer, poorer, or even dead? The answer is "possibly". It's a controversial claim but one that has won more and more followers over the last few decades.

We discuss new and fascinating observations of gravitational waves with three of our favourite cosmologists.

In this special podcast we look back on this remarkable mathematical moment with Andrew Wiles, Jack Thorne and Tom Körner, and how it opened new doors onto the future of mathematics.

Andrew Wiles's proof of Fermat's Last Theorem solved a centuries-old problem by opening a door onto the future of mathematics.

Find out how the BloodCounts! project is using AI to make the best of the millions of full blood cunts performed every year.

The BloodCounts! project is gearing up towards one of the largest-scale applications yet of machine learning in medicine and healthcare.

In this podcast we talk to Blake Sherwin about a new map of dark matter, the mysterious substance that makes up 85% of the stuff in the Universe.

PhD student Daniel Kreuter tells us about his work on the BloodCounts! project, which uses maths to make optimal use of the billions of blood tests performed every year around the globe.

How do green algae manage a perfect breaststroke even though they haven't got a brain? Enter the maths of synchronisation.

Daniel tells us about what drew him to maths, about random walks on unusual shapes, and about an exciting summer internship which allowed him to experience life as a maths researcher.