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In August, a team of mathematicians posted a paper claiming to solve a major problem in algebraic geometry — using entirely alien techniques. It instantly captivated the field, stoking excitement in ...

According to @JeffDean, ongoing advancements in applying AI to mathematical problem solving are being demonstrated by CarinaLHong and her team, showcasing the growing capability of AI models to tackle ...

In the past two decades, computers have gradually toppled human champions in games of perfect information. It mastered checkers, then chess (Deep Blue), and finally, the profoundly complex game of Go ...

Talia Ringer is in the Siebel School of Computing and Data Science, University of Illinois at Urbana–Champaign, Urbana, Illinois, 61801, USA. Read the paper: Olympiad-level formal mathematical ...

“Will there be a superhuman AI mathematician?” asked theoretical computer scientist professor Sanjeev Arora from Princeton University at the 12th Heidelberg Laureate Forum in September. What would ...

The original version of this story appeared in Quanta Magazine. In 1974, five years before he wrote his Pulitzer Prize–winning book Gödel, Escher, Bach: An Eternal Golden Braid, Douglas Hofstadter was ...

Physicists present evidence that the universe is not a computer simulation. Credit: Amanclos / CC BY 2.0 / Flickr A team of physicists has presented new mathematical evidence that challenges the ...

It's a plot device beloved by science fiction: our entire universe might be a simulation running on some advanced civilization's supercomputer. But new research from UBC Okanagan has mathematically ...

A fundamental link between two counterintuitive phenomena in spin glasses— reentrance and temperature chaos—has been mathematically proven for the first time. By extending the Edwards–Anderson model ...