University of New South Wales Honorary Professor Norman Wildberger has unveiled a potentially game-changing mathematical ...

A curve is a one-dimensional object that sits in a higher-dimensional space ... when in 1980 Phillip Griffiths and Joe Harris used modern techniques in algebraic geometry to show that the ...

A UNSW Sydney mathematician has discovered a new method to tackle ... for higher analogs of the Catalan numbers." Prof. Wildberger's work extends these Catalan numbers from a one-dimensional ...

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.

In addition to their adoption in computer graphics, where they serve as efficient tools for calculating rotations, quaternions live on in the geometry of higher-dimensional surfaces. One surface ...

algebraic equations. Scissors congruence seems like an easy problem. More than 2,000 years ago Euclid recognized that two-dimensional shapes with the same area can be rearranged as each other. It’s ...

Differential manifolds provide higher dimensional ... Differential Geometry and Geometric Analysis is closely related to topology, analysis, stochastics, group theory and to physic, e.g. Einstein's ...

A mathematician has built an algebraic ... higher equations, we should look for higher analogues of the Catalan numbers." Prof. Wildberger's work extends these Catalan numbers from a one ...