At the frontiers of theoretical physics, many of the most popular ideas have one thing in common: they begin from a mathematical framework that seeks to explain more things than our currently ...

The Higgs Boson was predicted with the same tool as the planet Neptune and the radio wave: mathematics. Why does our universe seem so mathematical, and what does it mean? I believe that it means that ...

Science and maths skills are widely celebrated as keys to economic and technological progress, but abstract mathematics may seem bafflingly far from industrial optimisation or medical imaging. Pure ...

Emily Riehl thinks hard about objects that don't exist in the material world yet mysteriously seem to underlie many things that do. These objects have no concrete existence of their own, but they do ...

Many people think that mathematics is a human invention. To this way of thinking, mathematics is like a language: it may describe real things in the world, but it doesn’t “exist” outside the minds of ...

Platonic solids. Galois groups. The Monster. Just as with children, the naming of a mathematical object is part of giving birth to your creation. It is what gives it its own identity, distinguishing ...

The University of Manchester has been gifted a unique mathematical object known as a Gömböc – the first known physical example of a new class of shapes called mono-monostatics. The Gömböc is tangible ...