The original version of this story appeared in Quanta Magazine. Standing in the middle of a field, we can easily forget that we live on a round planet. We’re so small in comparison to the Earth that ...

The Manifold Clock Kickstarter project embraces the mathematical concept of Riemann surfaces to create an artsy 3D timepiece that expresses time through shape and movement. Freelance writer Amanda C.

If you’ve never heard of a “manifold,” a good place to start is to think of it as a shape. For much of human history, the question of the earth’s shape was hotly debated. Many people weren’t convinced ...

Geometric statistics extends classical statistical methods to data that reside on curved spaces rather than flat Euclidean domains. At its core lies the notion of a manifold: a smooth, curved surface ...

Algebraic geometry and the theory of complex manifolds together form a foundational pillar of modern mathematics, interweaving geometric intuition with algebraic precision. Algebraic geometry studies ...

Eugenio Calabi was known to his colleagues as an inventive mathematician — “transformatively original,” as his former student Xiuxiong Chen put it. In 1953, Calabi began to contemplate a class of ...

Aleksander Doan is a junior fellow with the Simons Society of Fellows. Credit: Michael Lisnet Two-dimensional shapes are easy to understand. But what about abstract, imaginary shapes — ones that come ...