From tiling bathrooms to fooling cancer cells, and from new insights in topology to bringing research into the classroom — we hope you enjoy our April round-up!

Our neighbour Oscar Randal-Williams tells us about his exciting work at the frontiers of mathematics and the fundamental question he might be just about to answer!

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.

This collection of articles explores a recent, exciting breakthrough in the field of topology.

We continue our exploration of the telescope conjecture.

The concept of homotopy is a great example of how the language of maths can make intuition precise.

Barry Mazur has received the 2022 Chern Medal for profound discoveries in topology, arithmetic geometry and number theory.

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

Join us as we follow Kathryn Hess on a mathematical mystery tour of the marvellous intricacy of the brain!

If you love triangles as much as we do, we have great news – you can have them in any dimension you want!

Adele talks about her work on topology, inspired by spheres, doghnuts, and the power of maths to capture intuition.