Differential geometry is a pivotal field of mathematics that examines the properties of curves, surfaces and more general manifolds by utilising methods from calculus and linear algebra. Its ...

Conventional catalysts for hydrogen production via water electrolysis usually contain precious metals and are expensive. However, cheaper alternatives have been developed, for example cobalt–manganese ...

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 protein design. In addition, Nature has recently ...

Researchers have discovered geometric, hollow, ball-like structures in 80-million-year-old fossils of bizarre marine animals. Palaeobiologists Jennifer Hoyal Cuthill and Aaron Hunter identified the ...