Mathematicians predicted that if they imposed enough restrictions on how a shape might tile space, they could force a periodic pattern to emerge. But they were wrong. One of the oldest and simplest ...
Three mathematicians just proved a famous 30-year-old conjecture in geometry, with only a tiny assist from AI. The conjecture says that even within enormous, scattered and chaotic assemblages of ...
OpenAI claims that its new general-purpose reasoning model has successfully disproved a famous unsolved conjecture in geometry, the planar unit distance problem. The mathematical question was first ...
To the surprise of experts in the field, a postdoctoral statistician has solved one of the most important problems in high-dimensional convex geometry. In the mid-1980s, the mathematician Jean ...
A couple of months ago, Japanese mathematician Shinichi Mochizuki posted the latest in a series of four papers claiming the proof of a long-standing problem in mathematics – the abc conjecture. The ...
Kyoto University Research Institute for Mathematical Sciences professor Shinichi Mochizuki. (Photo courtesy of Kyoto University) A paper by a Kyoto University mathematician that claims to have proven ...
MILLENNIUM PRIZE SERIES: The Millennium Prize Problems are seven mathematics problems laid out by the Clay Mathematics Institute in 2000. They’re not easy – a correct solution to any one results in a ...
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