In 2015, the poet-turned-mathematician June Huh helped solve a problem posed about 50 years earlier. The problem was about complex mathematical objects called “matroids” and combinations of points and ...

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 ...

How many times during your educational career have you thought to yourself, “When on earth am I ever -- and I mean ever -- going to use this?” I would venture to guess we’ve all thought this a time or ...

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 ...

A polynomial is a chain of algebraic terms with various values of powers. There are some words and phrases to look out for when you're dealing with polynomials: \(6{x^5} - 3{x^2} + 7\) is a polynomial ...

In this note we define an entropy of rational maps of a smooth projective variety X to itself in terms of the growth rate of the volumes of its subvarieties. We give a formula for this entropy in ...

We classify all of the weight-homogeneous planar polynomial differential systems of weight degree 4 having a polynomial first integral. Journal Information Rocky Mountain Journal of Mathematics ...

The density matrix renormalization group method has been extensively used to study the ground state of 1D many-body systems since its introduction two decades ago. In spite of its wide use, this ...