Differential geometry is a pivotal field of mathematics that examines the properties of curves, surfaces and more general manifolds by utilising methods from calculus and linear algebra. Its ...

The study of algebraic structures and differential geometry has evolved into a dynamic interdisciplinary field that synthesises abstract algebraic concepts with the smooth variability of geometric ...

Abstract: Lightweight materials and structures are essential in the aerospace industry, from enabling the large space structures required to advance science missions to reducing fuel consumption.

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 ...

The theorized unseen structure of spacetime could also explain of the outstanding questions about the accelerating expansion ...

This course presents the underlying mathematical connections between diverse geometric objects that exist in Euclidean Space (the 3-dimensional space we live in). We will reach a great understanding ...

The original version of this story appeared in Quanta Magazine. In the fall of 2022, a Princeton University graduate student named Carolina Figueiredo stumbled onto a massive coincidence. She ...