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

The Breakthrough Prize Foundation today announced the winners of the 2025 Breakthrough Prizes, honoring scientists driving remarkable discoveries in gene editing, human diseases, the fundamental ...

Using advanced mathematical tools inspired by physics, the team has derived a general equation for any number of tangent ...

When pigeons outnumber pigeonholes, some birds must double up. This obvious statement — and its inverse — have deep ...

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