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 ...

Even in an incomplete state, quantum field theory is the most successful physical theory ever discovered. Nathan Seiberg, one of its leading architects, talks about the gaps in QFT and how ...

Most of us first hear about the irrational number π (pi)—rounded off as 3.14, with an infinite number of decimal digits—in ...

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 ...

Quantum field theory (QFT) is one of the most successful mathematical and empirical theories of the last century. As a picture of elementary particles, it has led to stunning predictions, like the ...

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 ...