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 ...

Physicists have directly mapped a hidden kind of geometry inside quantum materials that steers electrons in ways strikingly ...

For more than a century, scientists have treated chemistry as the master key to building new materials, tuning bonds and charges to coax atoms into useful patterns. A new wave of research is quietly ...

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 ...