A new study from the University at Albany shows that artificial intelligence systems may organize information in far more ...

Geometric representation theory is a vibrant field that unites methods from algebraic geometry, category theory and homological algebra to probe the symmetries and invariants arising from algebraic ...

Algebraic geometry has long provided a deep framework for understanding the solutions of polynomial equations through geometric lenses. In recent years, tropical geometry – a relatively young field – ...

A recent study led by City University of Hong Kong (CityU) has discovered that the ultrathin gold nanoribbons with unique hexagonal (4H type) crystal phase shows "liquid-like" behaviour under heating, ...

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 ...

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

A new urban 3D reconstruction method enhances Tomographic Synthetic Aperture Radar (TomoSAR) imaging using geometric semantics. By incorporating building structures into a Bayesian framework, the ...