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 ...

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

The chord progression in “Denial Is A River” is especially peculiar because it’s so harmonically ambiguous. Do the chords serve any kind of harmonic function? This may be the first article ...

Notably, the webpage where cross-play and cross-progression were confirmed by developer Visual Concepts and publisher 2K has been taken down; this could mean cross-play was removed from the game ...

The conjecture’s resolution is a seismic shift for the field of harmonic analysis, which studies the details ... It’s also a dimensional leap for this entire area of math that’s been somewhat stuck in ...