Fefferman’s proof—along with subsequently discovered connections to number theory, combinatorics, and other areas—revived interest in the Kakeya problem among top mathematicians. In 1995, Thomas Wolff ...

At the 2024 International Mathematical Olympiad (IMO), one competitor did so well that it would have been awarded the Silver ...

In 2024, an AI entered the fray of the International Mathematical Olympiad (IMO). Google’s AlphaProof is part of the same ...

This paper presents two studies of an intervention designed to help undergraduates comprehend mathematical proofs. The intervention used multimedia resources that presented proofs with audio ...

The original version of this story appeared in Quanta Magazine. In 1917, the Japanese mathematician Sōichi Kakeya posed what at first seemed like nothing more than a fun exercise in geometry. Lay an ...

A mathematician will turn a groundbreaking 100-page proof into computer code. The proof tool, Lean, lets users turn proofs written in prose into rules and logic for testing. Kevin Buzzard already uses ...

Mathematics students frequently encounter challenges when tackling geometric concepts, especially those requiring spatial visualisation skills. The transition from basic arithmetic to geometric ...