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

“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.

A powerful mathematical technique is used to model melting ice and other phenomena. But it has long been imperiled by certain “nightmare scenarios.” A new proof has removed that obstacle.

Britta Späth has dedicated her career to proving a single, central conjecture. She’s finally succeeded, alongside her partner ...

Professors from NYU and the University of British Columbia have resolved the Kakeya set conjecture in three dimensions.

If pure math can teach us anything, it’s this: occasionally, your special interest might just change the world. For Joshua Zahl and Hong Wang, that special interest was the Kakeya conjecture.

The Kakeya conjecture was inspired by a problem asked ... of progress that has enhanced our understanding of a complicated geometry and brings it to a new level. I am expecting that their ideas ...

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

Consider a pencil lying on your desk. Try to spin it around so that it points once in every direction, but make sure it sweeps over as little of the desk’s surface as possible. You might twirl the ...