As we head get ready for our summer holidays, we share our mathematical highlights from recent events in Spain and the UK and our recommendations for summer reading and listening!

This article describes how you can describe the entire universe of Riemann tori (surfaces that look like dooughnuts) in one go.

A Riemann torus is a surface that looks like a doughnut. This articles explored how you might tell Riemann tori apart.

How many different surfaces are there? The question seems impossible to answer, but mathematicians have a way of dealing with the multitude. Follow us on a journey into the world of moduli spaces.

How many different surfaces are there? The question seems impossible to answer but mathematicians are good at dealing with multitudes. Follow us into the world of moduli spaces!

Find out how a story starting with the simple notion of counting ends in a revolutionary new way of doing maths that uses computers to harness the power of human collaboration!

We celebrate the run-up to the European Congress of Mathematics (ECM) with Fields Medallist Maryna Viazovska who previously won a prestigious EMS prize at the ECM.

How many ways can you write a number as the sum of smaller numbers?  

The age of Big Data poses a risk to our privacy as even anonymised data can sometimes be linked to individuals. Differential privacy provides a way of protecting sensitive information even when some of it is made public.

Artificial intelligence algorithms are often trained on people's personal data. How can we make sure that this data remains private? 

How does artificial intelligence manage to produce reliable outputs? Stochastic gradient descent has the answer!

The advent of artificial intelligence poses new threats to the privacy of our personal data.  We explore the challenges and a way to address them.