In the mid-noughties, when music by the Killers and Franz Ferdinand blared out of every pub and nightclub I passed, I spent my days and nights struggling through a Ph. D.

Studying the epic journey of the iconic jumping plumber can lead to new insights in theoretical computer science—and may help ...

Last month, OpenAI announced that its latest version of ChatGPT had solved a major math problem, one that had stumped experts ...

Google and OpenAI have solved decades-old problems — but the scientific community is beginning to discuss whether limits ...

Think about placing dots on a flat surface. You want as many pairs as possible to be separated by the same distance. For any amount of dots, what is the greatest possible number of pairs that can be ...

Mathematicians warned against rising tech industry influence in a declaration describing the many challenges that AI poses to mathematics research. The timing of the declaration comes two weeks after ...

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 ...

Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal model—and what that could mean for mathematics.

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

“If you are a mathematician,” one of the world’s leading mathematicians recently wrote, “you may want to make sure you are sitting down before reading further.” And you’ll definitely need to sit down ...

This voice experience is generated by AI. Learn more. This voice experience is generated by AI. Learn more. News about AI math problem raises realization that finding counterexamples can be extremely ...

OpenAI says a new general-purpose reasoning model has produced an original proof that disproves a long-standing conjecture in discrete geometry tied to the planar unit distance problem. The claim ...