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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The Abel Prize: All winners at a glance

In time for the award of the Abel Prize to this year's winner we explore our coverage of the Prize since it was first awarded in 2003.

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Cat

Happy birthday quantum mechanics!

To celebrate the 100th anniversary of quantum mechanics we bring together some of our introductory material on this marvellous theory. Expand your mind and enjoy!

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Emmy Noether

Introducing Emmy Noether

The mathematician Emmy Noether was a "creative mathematical genius" (Albert Einstein) whose work had far-reaching impact beyond the world of pure mathematics. This collection brings together content exploring Noether's life and work

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Laptop secured by a padlock - image purchased from Fotalia

Keeping the world's networks quantum safe

Our digital, networked lives are only possible thanks to cryptography, but quantum computing could make our current techniques useless. How can we prepare for this quantum future and ensure we can continue to live our digital lives?

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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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