Gerd Faltings proved a conjecture that had been unsolved for six decades, using connections between numbers and geometry.

After 30 months of fast-paced innovation in quantum algorithms, six research groups are hoping to hit paydirt. But there can be only one big winner—if there is a winner at all.

Peter Badge. Mathematics often feels like a collection of isolated islands. Each one operates with its own rules, and building bridges between them is notoriously difficult. Today, the Norwegian ...