Her challenge focused on the deep connections between polynomial equations such as 4 x2 – 1 = 0 and the symmetries buried in their solutions. Within a few short months of the conference, by ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

Two mathematicians have used a new geometric approach in order to address a very old problem in algebra. In school, we often learn how to multiply out and factor polynomial equations like (x² – 1) or ...

The Jacobian conjecture has bedeviled math experts for nearly 90 years.

Last month, a paper uploaded to the preprint site ‘arXiv’ drew global attention from the mathematics community. The first page of the paper featured a complex 23rd-degree polynomial with some ...

Long considered solved, David Hilbert’s question about seventh-degree polynomials is leading researchers to a new web of mathematical connections. Success is rare in math. Just ask Benson Farb. “The ...

Polynomial theory underpins a vast array of problems in modern combinatorics, providing tools to encode, manipulate and extract information from sequences and discrete structures. Central to this area ...

Before being mortally wounded in a duel at age 20, Évariste Galois discovered the hidden structure of polynomial equations. By studying the relationships between their solutions — rather than the ...