The Fields Medal, the world’s highest honor for mathematical research, has gone to two mathematicians who forged new links between different branches of mathematics. The recipients–announced this week ...

Years ago, an audacious Fields medalist outlined a sweeping program that, he claimed, could be used to resolve a major problem in algebraic geometry. Other mathematicians had their doubts. Now he says ...

This is an updated version of a story first published on May 5, 2024. For many high school students returning to class, it may seem like geometry and trigonometry were created by the Greeks as a form ...