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.

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 ...

Partial differential equations (PDEs) on Riemannian manifolds extend classical Euclidean analysis by incorporating the geometric structure encoded in a smoothly varying metric. At their heart lies the ...

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 ...