It all starts with something called the Kakeya conjecture. A “conjecture” is a math guess—an idea that seems true, but nobody ...

“Why look for a counterexample if the conjecture is so obviously true?” wrote Igor Pak, a math professor at UCLA and one of the authors of the new paper, in a blog post on the breakthrough.

For a long time, the Kakeya conjecture, which involves rotating an infinitely narrow needle, kept mathematicians ...

A young computer scientist and two colleagues show that searches within data structures called hash tables can be much faster than previously deemed possible.

It brought her to the office of Marc Cabanes, a mathematician now at the Institute of Mathematics of Jussieu in Paris who, inspired by her efforts, became consumed by the conjecture, too.

Israeli-American mathematician Dennis Gaitsgory was awarded the 2025 Breakthrough Prize in Mathematics for his role in the ...

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

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Dennis Gaitsgory receives the 2025 Breakthrough Prize in Mathematics, endowed with 3 million US dollars “for foundational ...