Recent advancements in thermodynamics have increasingly drawn on the language of differential geometry and systems control to reformulate classical principles. Geometric structures offer a rigorous ...

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 ...

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 ...

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 ...

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 ...