dimension

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Explore our content on a long-standing problem in topology that has only recently been solved.

torus cut open

We continue our journey towards a proof of the Kervaire invariant problem.

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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.

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.

sphere

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

3-sphere

We can't visualise it, but we can still think about it! And there are clever ways of glimpsing what it might look like.

Find out what it means for a shape to have fractional dimension.

More than you think! In this episode of our podcast we talk to theoretical physicist David Berman to find out more...
We look at an important recent result exploring higher-dimensional holes in higher-dimensional spheres.

We guide you through an exciting recent breakthrough in the world of topology, involving something called the telescope conjecture.

We continue our exploration of the telescope conjecture.

In normal life higher dimensions smack of science fiction, but in mathematics they are nothing out of the ordinary.