# INI

## The Isaac Newton Institute: Creating eureka moments

One of the most exciting places in the mathematical world is the Isaac Newton Institute for Mathematical Sciences (INI), an international research centre and our neighbour here on the University of Cambridge's maths campus.
The INI attracts leading mathematical scientists from all over the world, and is open to all. We are proud to be collaborating with the INI to bring the cutting edge mathematics that is being done there to the general public. The following content is part of this collaboration.

Moduli spaces: Exploring the torus space

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

Moduli spaces: What type of Riemann tori are there?

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

Moduli spaces: Introducing Riemann surfaces

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.

Moduli spaces: A journey into the world of shapes

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!

How to (im)prove mathematics

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!

Maths in a minute: Partition functions

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

Differential privacy: Keeping your data safe

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.

Protecting your data in the face of AI

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

Maths in a minute: Stochastic gradient descent

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

Keeping your data safe in the face of AI

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.

Euromaths: Alessio Figalli

In the run up to the European Congress of Mathematics we continue our series of interviews with mathematicians who've won the prestigious Fields Medal. This week we hear from Alessio Figalli talking about the theory of optimal transport.

Euromaths: James Maynard

In the run up to the European Congress of Mathematics we continue our series of interviews with mathematicians who've won the prestigious Fields Medal. This week we hear from James Maynard talking about the twin prime conjecture.