How can you have a proof without proving anything? Mathematicians found a way and, in the process, came to blows over it – ...

A quasar — among the universe's most luminous and energetic objects — is a supermassive black hole caught in the act of ...

AI systems are increasingly helping out with math research, and this is now appearing in relevant data. A chart shared by Jasper ...

Artificial intelligence was beaten by humans in solving 10 complicated mathematical problems within the “First Proof” project. The project was ...

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

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

A casual lunch between friends in the late 1970s left behind one of physics' quirkiest unsolved puzzles. Nobel laureate Richard Feynman, while dining with his friend Ralph Leighton at a Thai ...

At SXSW London, our senior editor Will Douglas Heaven laid out how he’s thinking about AI in 2026. Watch his talk below. At SXSW London last week I gave a talk called “Five things you need to know ...

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 ...