Rachel Thomas

Martin Hairer's is being honoured for a major breakthrough that gives a way of attacking problems that had previously been impenetrable.

Patterns and structures lie at the heart of mathematics, some even say they are mathematics. But how do they help us do mathematics?

Many materials around us are oxides – such as rocks, window glass and some of the materials used in your computer. These materials may seem hard and rigid, but mathematics reveals a hidden flexibility that can explain many of their properties.

We joined HRH Princess Anne and many great mathematicians to celebrating 50 years of the IMA at the Royal Society.

How does NICE make the difficult decision of which treatments to fund under the NHS?

The search for the missing Malaysia Airlines' flight MH370 was dramatically narrowed last week due to a mathematical analysis of satellite signals from the plane. Careful analysis of just a handful of data points has focussed the search on an area in the southern Indian Ocean.

By the 1970s physicists had successfully tamed three of the fundamental forces using a sophisticated construct called quantum field theory. The trouble was that the framework seemed to fall apart when you looked at very high or very low energy scales. So how could these be thought of as valid theories? It's a question physicists are still grappling with today.

The early 1950s were an experimental gold mine for physicists, with new particles produced in accelerators almost every week. Yet the strong nuclear force that acted between them defied theoretical description, sending physicists on a long and arduous journey that culminated in several Nobel prizes and the exotic concept of "asymptotic freedom".