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".

As your cereal tumbled into your bowl this morning, were you daydreaming of sand dunes or snowy mountains? It wouldn't be surprising given the drab grey skies outside. But now you have another excuse: the cereal, sand and snow can all be examples of granular flows.

Data from BICEP2 gathered in the South Pole reveals swirls in the CMB, the first image of gravitational waves and evidence for inflation.

The funeral of the great flamenco guitarist Paco de Lucía this week reminded us of the mathematical and musical reasons we love flamenco.

David Sloan calculates how likely it is that our Universe exists. He explains to us how, and why the answer can help shape our theories of physics.

Do the dramatic advances in cosmology in the last century herald a new golden age of philosophy? A new collaborative project between cosmologists and philosophers is leading the way.