A lock that anyone can close but only one person can open sounds impossible, yet it follows directly from Euler's phi ...

Our universe appears flat—but this observation still leaves plenty of options for its true shape. In fact, our cosmos could resemble a donut What shape is the universe? This question is far more ...

In October 2024 I attended a workshop at Harvard University where mathematicians talked through the uses of artificial intelligence in their field. Most were less worried about the future of math than ...

Number theorist Andrew Granville on what mathematics really is — and why objectivity is never quite within reach. In 2012, the mathematician Shinichi Mochizuki claimed he had solved the abc conjecture ...