For centuries, one of algebra’s oldest puzzles has ... Wildberger’s insight was that to solve polynomials of higher degrees, you need higher-dimensional versions of these sequences.

Examples of relevant topics are topic varieties, intersection theory, singularity theory, curves and surfaces, higher dimensional varieties, real algebraic geometry and tropical geometry. you have ...

This led us to higher-dimensional Werner states—a widely discussed family of quantum states in quantum foundations and entanglement distillation—but whose nonlocality has never been demonstrated.

ALGEBRAIC geometry, in spite of its beauty and importance, has long been reproached for lacking proper foundations. Great discoveries have been made, especially in Italy, by the intuition of a ...

Polynomials above 4 degrees have a shiny new target on their back.

Their main peculiarity lies in the fact that geometry in quantum theory speaks mainly the algebraic language of rings, modules, sheaves and categories. Geometry is by no means the primary scope of the ...

Solving one of the oldest algebra problems isn't a bad claim to fame, and it's a claim Norman Wildberger can now make: The mathematician has solved what are known as higher-degree polynomial equations ...