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.

The Plus advent calendar 2023In this year's advent calendar we revisit some of our favourite episodes of our *Maths on the move* podcast. From the maths of chocolate to the maths of music, there's something here for everyone!

Building a theory of quantum gravity

This collection of articles looks at one of the biggest problems in modern physics and at research that aims to solve it.

Maths in a minute: AlgorithmsThe word "algorithm" has probably got more usage over the last few years than it has in its entire history. But what exactly is an algorithm?

Maths in a minute: Conditional probabilityFind out why the formula we use to work out conditional probabilities is true!

Creating a low carbon energy networkThe UK is aiming for a decarbonised electricity supply by 2035. In this collection of articles we look at some of the mathematical, technical, and intellectual questions involved.

New understanding of a neglected diseaseNew research reported at this year's Black Heroes of Mathematics conference is changing lives around the world.

Can data science help rebuild our trauma networks?Can mathematics help reshape our hospital networks?

Telescope topology — the podcastWe look at an important recent result exploring higher-dimensional holes in higher-dimensional spheres.

From clicks to chords

How is frequency related to pitch? Hear the music we love emerge from pure mathematical beats.

How does human noise impact whales?We talk to Stuart Johnston who uses mathematics to find out how noise pollution in the oceans impacts whales.

Balancing the equations of a low carbon energy networkGenerating electricity without the use of fossil fuels is not just an engineering and industrial challenge, it is also a huge mathematical challenge.

Maths in a minute: Non-linearityNon-linear relationships are tricky relationships. Find out why here.