A couple of months ago, Japanese mathematician Shinichi Mochizuki posted the latest in a series of four papers claiming the proof of a long-standing problem in mathematics – the abc conjecture. The ...

Mathematicians predicted that if they imposed enough restrictions on how a shape might tile space, they could force a periodic pattern to emerge. But they were wrong. One of the oldest and simplest ...

Three mathematicians just proved a famous 30-year-old conjecture in geometry, with only a tiny assist from AI. The conjecture says that even within enormous, scattered and chaotic assemblages of ...