In the theoretical study of proton-nucleus collisions, the colliding projectiles can be described as streams of color charges ...

The famous problem asks whether a map can be filled in with only four colors such that the same color never borders itself. It has been solved with the help of computers, but some experts suggest an ...

Kaushik Bhattacharya is an engineer and materials scientist, but he has always been fascinated by seashells. Part of the draw ...

For decades, a fundamental question about the difficulty of computing in high-dimensional spaces has resisted proof. New research resolves this question, removing a major theoretical obstacle to ...

“SOMETIMES PEOPLE have the wrong idea of maths and think that it will be overtaken by computers,” said the mathematician Alain Connes in 2000. He was describing why a team of esteemed mathematicians ...

Hundreds of new A.I.-generated findings moved the frontiers of higher math in a single day — dispelling any doubt that the field is forever changed. By Siobhan Roberts “If a human did this, it would ...