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 ...

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 ...