In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation for modern geometry and physics.

It took 125 years, but in 2025 a team of mathematicians discovered the solution to a long-puzzling problem about the ...

The equal sign is the bedrock of mathematics. It seems to make an entirely fundamental and uncontroversial statement: These things are exactly the same. But there is ...

More than 30 years ago, Andreas Floer changed geometry. Now, two mathematicians have finally figured out how to extend his revolutionary perspective. Arnold’s work was in an area of mathematics that ...

It can be tempting to assume that your intuitions about three-dimensional space carry over to higher-dimensional realms. After all, adding another dimension simply creates a new direction to move ...

In “The Great Math War,” Jason Socrates Bardi takes on a battle for the soul of numbers that divided the experts of its day. By Jordan Ellenberg Jordan Ellenberg, a professor of mathematics at the ...