In work that has been 30 years in the making, mathematicians have proved a major part of a profound mathematical vision called the Langlands program. A group of nine mathematicians has proved the ...

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 Langlands program has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new worlds for them to explore One of the biggest stories in science has been ...

Gear-obsessed editors choose every product we review. We may earn commission if you buy from a link. Why Trust Us? A 125-page proof posted to arXiv may represent a huge breakthrough in geometric ...

"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 ...