Alexander Bobenko has spent the past 20 years chewing on mathematical doughnuts. In the 2000s, he tried to prove that compact ...

Arnold’s work was in an area of mathematics that concerns all the different configurations a physical system like bouncing billiard balls or orbiting planets can take. These configurations are encoded ...

Illustration of a set of real zeros of a graph polynomial (middle) and two Feynman diagrams. Credit: Max Planck Institute for Mathematics in the Sciences How can the behavior of elementary particles ...

Computer programs can handle all sorts of data, from sums of money in bank accounts to sensor readings from scientific instruments. In many cases, the data are a set of discrete elements, such as ...

Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly ...

Life begins with a single fertilized cell that gradually transforms into a multicellular organism. This process requires precise coordination; otherwise, the embryo could develop serious complications ...