Looking at a globe, a country’s coastline may appear smooth and continuous. But zoom in with a satellite view and that neat ...

Jason Padgett was a normal futon salesman. But following a traumatic brain injury, he suddenly acquired the brain power of a ...

OpenAI has revealed a breakthrough proof that overturns a nearly 80-year-old geometry conjecture posed by Paul Erdős.

For nearly 80 years, mathematicians have struggled to solve a classic geometry puzzle first posed by Paul Erdős in 1946: the ...

Our universe appears flat—but this observation still leaves plenty of options for its true shape. In fact, our cosmos could ...

Three mathematicians have laid out proof that solves a long-standing problem in mathematics. Even the mathematician—an Abel ...

An 80-year-old challenge in geometry has been cracked by mathematicians working for the tech firm Open AI using a single prompt from an AI chatbot. The company has not revealed all the precise details ...

Thanks to some surprising advances, mathematicians are starting to realize that artificial intelligence could radically alter ...

By replacing the most fundamental concept in topology, Peter Scholze and Dustin Clausen are taking the first step in a far ...

Grothendieck is revered in the world of math; outside of it, he’s known for his unusual life, if he’s known at all. But what ...