The Kakeya set—named for its discoverer Sōichi Kakeya—was complicated by a subsequent mathematician named Abram Samoilovitch ...

A new proof solves the “Kakeya conjecture” in three dimensions, opening up a new set of possibilities for mathematics, from computer science to cryptography ...

By solving part of the Langlands program, a mathematical proof that was long thought to be unachievable, Dennis Gaitsgory ...

Math and computer science researchers have long known that some questions are fundamentally unanswerable. Now physicists are ...