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a wave

The harmonics of a string

When you pluck a guitar string it vibrates at many resonant frequencies at once. What might that look like? Find out with our animation.

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Catching waves with the Laplacian

The Laplacian operator turns up all over maths.  Here's a reasonably light-touch introduction and a look at why it forms part of the wave equation.

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Two diagrams

Can you see the sound of a drum?

If you sprinkle sand on a vibrating plate it forms the most beautiful patterns. We explore why that happens, what it has to do with mathematical pioneer Sophie Germain, and how the question opens up a huge range of maths.

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Drum

Can you hear the shape of a drum?

The sound of a plucked string depends on how long it is, so you can hear the length of a string. But can you hear the shape of a drum? 

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wave

A millennium problem solved by AI?

On September 8th, 2026, OpenAI announced that one of its systems had solved the Navier-Stokes Millennium Problem. But has the problem really been solved? What exactly was the contribution of AI? And what does the advance of AI on mathematics mean for the field?

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AI apps on a phone

AI versus mathematics?

AI has recently solved some very hard maths problems. Did AI really do this on its own? What does it mean for the future of mathematics? And how should the maths community respond?

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Spoon in a pot of soup

Feeling the heat

There's an equation which describes the flow of heat. We have a look at where it comes from.

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Dhruv Ranhganathan

Shattering geometric shapes

Ranganathan won a prestigious Whitehead Prize for shattering geometric shapes and then putting them back together again.

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wave

Has AI cracked a $1m maths problem?

There's been an announcement that an AI system solved one of the most famous problems in maths. Here's a quick look at the problem and why the announcement is significant.

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MCTYA logo

Maths can take you anywhere

Ahead of this summer’s exam results, the Academy for the Mathematical Sciences took its Maths Can Take You Anywhere campaign into thousands of schools and colleges across the UK, highlighting the many career pathways that mathematics can open up for students.