For years, physicists were stuck in trying to explain an important mathematical problem in physics. The right approach ended ...

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.

As the ban on Anthropic’s Fable wears on, some mischievous users are asking Claude to pretend it’s the super-powerful model.

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 ...

Thomas Mulligan breaks down the legendary Millennium Prize Problems, exploring the elite mathematical riddles that carry a ...

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 ...

With the 2025-26 academic year behind us, and the summer stretching ahead, Columbia News is looking back at some of the top research that our faculty have produced in recent months. Columbia ...

Artificial intelligence is mastering the kinds of projects that have long helped to build the careers of young mathematicians. What does that mean for their future? Credit...Illustrations by Yoshi ...

Winton argues Starlink's 105% subscriber growth to 10.3 million users alone justifies SpaceX's $2 trillion IPO valuation without counting any AI upside. Each Starship launch adds 60 terabits per ...

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. Reading time 10 minutes Will ...