In future, our society will recognize greater scientific, social, and economic value in abstract mathematical concepts, logical structures, and the indefinite perception and experience of human beings ...

Algebraic structures provide the language and framework for formulating fundamental laws in modern physics, especially in areas where symmetry, quantisation and unification are paramount. Lie algebras ...

Researchers at New York University have devised a mathematical approach to predict the structures of crystals—a critical step in developing many medicines and electronic devices—in a matter of hours ...