The Centre for Climate Repair has recently become our neighbour here at the Centre for Mathematical Sciences at the University of Cambridge. But what is climate repair? We talked to the Centre's Director to find out.

The mathematics of movement can describe the behaviour of all types of organisms, from cancer cells to humans.

With just some simple arithmetic, you can build a basic mathematical model of how a disease might spread. Julia Gog explains how, and there's also some Lego action...

It might sound like something from science fiction, but the holographic principle might help us answer the biggest problem in modern physics.

You can explore how we might extend our model but running your own epidemic with our Lucky Dip interactivity. Follow along with Julia as she paves the way to a model that is very similar to the mathematics disease modellers use every day.

In Part 3 Julia refines our model to use one of the most important numbers in disease modelling. And there's a chance for you to explore its meaning using a new interactivity.

Entropy is the hero of our story – bringing together physics at every scale.

In the final Part we explore what other aspects we need to consider to make a model more realistic. There's an interactivity that allows you to party, commute, and visit friends and we find out more about what life as a research is like from Julia.

Come on a fantastic journey from some of our oldest ideas about physics to the biggest mystery of the modern age!

In this final part, you can meet the researchers themselves and find out about the real research questions that Julia and some of her colleagues are working on!

Could AI help judges deliver fair and transparent sentences? A recent study group involving law experts and mathematicians explored the challenges involved.

We continue our exploration of the potential use of AI in sentencing.