Content about “

topology

”

When you let go of the notions of distance, area, and angles, all you are left with is holes.

Pure mathematics has a habit of eventually becoming useful. This series of articles explores an example: the rise of category theory in physics and the quest to build quantum computers.

Category theory, which has previously been described as "abstract nonsense" turns out to be just the language we need to describe materials that may help us build quantum computers. Find out more in this article.

The quantum Hall effect is a curious phenomenon: not only does it make effects from quantum physics visible in the macroscopic world, it also links physics to the pure mathematical area of topology. Find out more in this article.

Find out how topology, traditionally part of pure maths, can help us understand big data, with applications in areas such as cancer research and social justice.

Can topological data analysis create a revolution in the life sciences?

See all our content on this fascinating method that uses pure maths to analyse real-life data.

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

Want 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 takes us on a trip into higher dimensions, retracing some of the journey towards a proof of the Kervaire invariant problem.

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

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