Phys.org

Mathematicians prove Pólya's conjecture for the eigenvalues of a disk, a 70-year-old math problem

Is it possible to deduce the shape of a drum from the sounds it makes? This is the kind of question that Iosif Polterovich, a professor in the Department of Mathematics and Statistics at Université de ...
Phys.org

Mathematicians prove the Umbral Moonshine Conjecture

Monstrous moonshine, a quirky pattern of the monster group in theoretical math, has a shadow - umbral moonshine. Mathematicians have now proved this insight, known as the Umbral Moonshine Conjecture, ...
Quanta Magazine

‘Once in a Century’ Proof Settles Math’s Kakeya Conjecture

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 ...
Memeburn

AI Math Breakthrough: OpenAI Disproves 80-Year Erdős Conjecture

An OpenAI model disproved the 80-year-old Erdős unit distance conjecture, and Google DeepMind's AlphaProof Nexus solved nine more open problems days later. Together, these AI math breakthroughs mark a ...