plus.maths.org

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!
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.
The murmuration conjecture: finding new maths with AI

Artificial intelligence is changing all our lives - even the lives of mathematicians! Yang-Hui He tells us about his exciting new conjecture, developed with the help of AI, that reveals patterns in the prime numbers that look like flocks of birds.
GO-Science National Numeracy Day challenge!

We're helping the Government Office for Science to bring you an Olympic challenge for National Numeracy Day!
What is a square?

If a shape has equal sides and all 90 degree angles then it's a square, right? Well, wrong! Find out how to draw right-angled triangles and even pentagons in this short article.
Too big to write but not too big for Graham

Meet the number that's bigger than the observable Universe!
Counting rose petals

The beautiful rose curve has an odd pattern to the number of its petals – this student and teacher team explain why...
Myths of maths: The golden ratio

The golden ratio has many amazing properties. But is it really a secret of nature and the epitome of beauty?
Strategic dating: The 37% rule

How many people should you date before settling for a relationship?
Less is more: The quest for minimal surfaces

For over 250 years minimal surfaces have been playing hide and seek with mathematicians. But what are they and why are they interesting?

Are you curious about maths and the world? Then explore plus.maths.org to stay connected with mathematics: from the maths of everyday life to the latest current research!

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Hunting strange shapes in higher dimensions

Wand to expand your horizon? Then discover one of the hardest problems in algebraic topology which has only recently been solved: the Kervaire invariant problem.
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Living proof: Hunting through higher dimensions with Zhouli Xu

In this episode of Maths on the Move Zhouli Xu takes us on a trip into higher dimensions, retracing some of the long, and sometimes arduous, journey towards a proof of the Kervaire invariant problem.
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Random surfaces help reveal the secrets of the Universe

Find out how random shapes shed light on one of the hardest problems in physics.
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Maths in a minute: The Poincaré conjecture

We explore a famous problem which shaped 20th century topology.

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Postcard from Oslo: Masaki Kashiwara and the 2025 Abel Prize

From sunny parks to banquets in castles – come with us on an exciting adventure in Oslo as we join the celebrations for the 2025 Abel Prize!
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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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Maths in a minute: Invariants

What are mathematical invariants and why are they useful?
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Cosquer: Counting by hand

When did humans first start to count? A cave in France may contain the earliest evidence.

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