Riemannian manifolds furnish a rich arena in which geometry and analysis intersect, driven by the study of special holonomy, curvature flows and calibrated submanifolds. Central to this field is the ...

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 digital parts of the system must be accurate in order to reliably simulate a robotics system. Higher-quality components ...

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 ...