Mathematics

In parallel, a race by amateurs and mathematicians has found all 25,000 cases of one “inverse Galois problem”

OpenAI’s proof seems eligible for a $1-million prize—but only by using a controversial loophole

OpenAI’s claimed proof of the Navier-Stokes problem is a mathematical tour de force, but any real-world applications may be years away—if they ever arrive at all

The surprising real-world applications of high-dimensional sphere packing and the 48-year-old barrier that OpenAI just broke

A search for the most complex elliptic curves has taken mathematicians years. Claude beat the record in days

After an OpenAI model presented a possible solution to the Navier-Stokes problem, mathematicians are speculating about which major unsolved question could be resolved next

Hang a painting poorly in this math puzzle

A new declaration from winners of the Fields Medal reflects many mathematicians’ growing alarm over a “severe misalignment” between the tech industry and their field a week after AI toppled one of math’s biggest open problems

What happens when machines surpass the most brilliant human minds? Mathematicians are finding out

Prior to the announcement, rumors were circulating online among mathematicians over the proof’s origins—OpenAI has denied all allegations

A mathematician compared the feat to the history-making chess competition in which IBM’s Deep Blue computer beat Garry Kasparov in 1997

New solutions found to picture-hanging problems