It’s surprisingly difficult to prove one of the most basic properties of a number: whether it can be written as a fraction. A ...

Nanotube bridge networks grow between the most abundant photosynthetic bacteria in the oceans, suggesting that the world is ...

Evolution was fueled by endosymbiosis, cellular alliances in which one microbe makes a permanent home inside another. For the ...

Hypothetical devices that can quickly and accurately answer questions have become a powerful tool in computational complexity ...

The mathematician and author Steven Strogatz and the astrophysicist and author Janna Levin interview leading researchers about the great scientific and mathematical questions of our time.

Landmark results in geometry and number theory marked an exciting year for mathematics, at a time when advances in artificial intelligence are starting to transform the subject’s future. What Is ...