This year's Abel Prize has been awarded to the German mathematician Gerd Faltings for work that brings together number theory and geometry to solve equations.
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.
What does water feeding to ice have to do with symmetry? This article provides an answer and begins to tell the astonishing story of how theory once denounced as "abstract nonsense" may help us build quantum computers.
Gravitational waves have provided a wealth of information about black holes. But could other objects be hiding in this data too? Researchers are exploring this idea, which may also help resolve the mystery of dark matter.
We talk to Krieger about her work, sharing mathematics with wider audiences, and advice for young mathematicians
The mathematics of the future needs more specialist maths teachers, stronger university provision, and sustained research funding.
How confident is the Large Language Model chatbot that its answers are correct? And how confident can we be about this confidence? This article investigates.
Can topological data analysis create a revolution in the life sciences?
Researchers, policy makers and communicators have distilled out some key principles for making mathematical research more useful for policy makers.
Find out about a pioneering new project which builds mathematical models together with the people who are affected by them.
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.
