In quantum mechanics, the geometry of quantum states has emerged as a powerful framework for understanding phenomena ranging ...

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.

Last month, OpenAI announced that its latest version of ChatGPT had solved a major math problem, one that had stumped experts ...

In fact, in 2024, Barkley pledged $1 million to St. Mary's High School in New Orleans because of two brilliant students who ...

This article is from Proof Positive, our friendly math newsletter that's delivered to your inbox every Tuesday afternoon. Sign up today and read it first. Is math to blame for bad hair days? Before I ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

At 25, Kurt Gödel proved there can never be a mathematical “theory of everything.” Columnist Natalie Wolchover explores the implications. In 1931, by turning logic on itself, Kurt Gödel proved a pair ...

If two people pick alternate slices from a pizza that has been cut unevenly from an off-centre point, common sense suggests one of them will walk away with more. But geometry says otherwise.In the ...

It’s no secret that many of us are not too fond of mathematics and geometry, and that it is often too complex. But even so, it can be pretty mind-blowing to look back in history and discover the ...

DeepSeek made waves in early 2025, launching one of the world's first free-to-access thinking models. Now, the Chinese firm has just released DeepSeekMath-V2 with the objective of achieving ...

Napoleon Bonaparte, First Consul. Work by Ingres. It was during this period that he came into contact with the theorems. Credit: Public domain / Wikimedia Commons His political stance allowed him to ...