Geometric analysis, at its core, integrates methods from differential geometry and partial differential equations to study the properties of spaces endowed with a notion of distance. Metric spaces, ...

Geometric analysis of nonlocal interactions and phase patterns investigates the mathematical and physical principles underlying systems in which influences extend beyond immediate contact. This ...

Researchers have developed an efficient new way to quickly analyze complex geometric models by borrowing a computational approach that has made photorealistic animated films possible. Researchers at ...

Karen Uhlenbeck, whose seminal work helped launch an entire field of mathematics, was awarded the Abel Prize today in an announcement made from Oslo. The prize, created by the Norwegian Academy of ...