Riemannian foliations partition a smooth manifold into a collection of disjoint submanifolds, called leaves, that locally resemble parallel layers. Each leaf inherits a Riemannian metric from the ...

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 ...

Recent breakthroughs in artificial intelligence have uncovered surprising geometric structures within large language models (LLMs) like ChatGPT. These findings offer a new perspective on how these ...

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 ...

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