But now Google’s DeepMind team has built AlphaProof, an AI system that matched silver medalists’ performance at the 2024 ...

DeepMind is pushing artificial intelligence into one of the hardest arenas in science, building a system that can navigate ...

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

"Hearst Magazines and Yahoo may earn commission or revenue on some items through these links." A 125-page proof posted to arXiv may represent a huge breakthrough in geometric measure theory. This ...

J. R. Brown, Philosophy of mathematics: an introduction to the world of proofs and pictures, Routledge (1999). 2. R. B. Nelsen, Proofs without words I: exercises in ...

Mathematicians have broken through a long-standing barrier in the study of “minimizing surfaces,” which play an important ...

Educational Studies in Mathematics, Vol. 94, No. 1 (January 2017), pp. 37-54 (18 pages) This paper reports the results of an international comparative study on the nature of proof to be taught in ...

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 ...

The International Mathematical Olympiad (IMO) is probably the most prestigious competition for preuniversity students. Every year students from around the world compete for its coveted bronze, silver ...

As he was brushing his teeth on the morning of July 17, 2014, Thomas Royen, a little-known retired German statistician, suddenly lit upon the proof of a famous conjecture at the intersection of ...