One of the beautiful things about maths is that every concept is part of a bigger picture — a picture that grows over time, transcends traditional boundaries, and often informs a range of real-world applications. The collections below aim to present some of these mathematical jigsaws by bringing together content exploring specific topics from different perspectives and at varying levels of depth.
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kitten

Helping AI to learn some physics

The type of AI currently in use is based purely on data. How much more powerful would it be if it also has access to humanity's vast knowledge of physics? Find out more in this collection of content.

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Close up of milk mixing into coffee (Image: Adobe Stock)

Mixing it up: Understanding the boundaries of anti-diffusion

The process of diffusion has been studied for centuries.  But reserachers have recently begun to study a competing process –  anti-diffusion. Find out more in this collection of content from a recent research programme at the INI.

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Alcazar

The ECM 2024!

See all our coverage of the European Congress of Mathematics 2024!

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wallpaper group

Groups today: a whistle-stop tour

Groups have become a core part of the language of modern mathematics and theoretical physics. On this page, find out how groups can help describe roots of polynomials, holes on a surface, and even the laws of physics!

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different shapes

Groups: The basics

Group theory is the mathematics of symmetry and structure. On this page, find out what a group is and how to think about them.

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Tim Gowers and participants at his 60th birthday workshop

Happy birthday Timothy Gowers!

Some of the best mathematicians from around the world came together in Cambridge to celebrate the maths of Tim Gowers, as well as his 60th birthday!

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Torus

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!

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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? 

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Happy International Women's Day 2024!

To celebrate this year's International Women's Day we revisit some of the articles, podcasts and videos we have produced with women mathematicians over the last year.

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Contagious maths

How does maths help in tackling infectious diseases? Join Julia Gog to find out in this series of videos and articles, and have a go at modelling diseases yourself!

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