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 ...

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 ...

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.

Dyson sphere stability — once considered an impossible physics problem — may be within reach. A peer-reviewed paper in ...

Two RIKEN physicists have established new theoretical limits for experimentally measurable quantities by viewing solids ...

The 2024 Nobel Prize in Chemistry was recently granted to David Baker, Demis Hassabis and John M. Jumper, renowned for their pioneering works in protein design. In addition, Nature has recently ...

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 ...

An AI system developed by OpenAI has produced a verified proof addressing a classic problem in discrete geometry first posed ...