Content about “

topology

”

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

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. 

We all know what data is and you might know what topology is. But what is topological data analysis? We find out with Heather Harrington.

Groups are staples in mathematics and group theory is often described as the study of symmetry. But what does that mean? Find out with Justin Chen!

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!

This article describes how you can describe the entire universe of Riemann tori (surfaces that look like dooughnuts) in one go.

A Riemann torus is a surface that looks like a doughnut. This articles explored how you might tell Riemann tori apart.

How many different surfaces are there? The question seems impossible to answer, but mathematicians have a way of dealing with the multitude. Follow us on a journey into the world of moduli spaces.