Field theory and the renormalization group (RG) offer a robust mathematical framework to decipher the complex phenomena emerging in disordered systems. At their core, these approaches model the ...

The Langlands program has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new worlds for them to explore One of the biggest stories in science has been ...

The equal sign is the bedrock of mathematics. It seems to make an entirely fundamental and uncontroversial statement: These things are exactly the same. But there is ...

Three decades ago, a British documentary series named Connections aired, which showed viewers how various scientific achievements and discoveries were really interrelated, no matter how disparate they ...

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 ...