Algebraic geometry codes, commonly referred to as AG codes, form a class of linear error-correcting codes constructed from algebraic curves defined over finite fields. By selecting a divisor on a ...

Elliptic curves are among the more beguiling objects in modern mathematics. They don’t seem complicated, but they form an expressway between the math that many people learn in high school and research ...

In August, a pair of mathematicians discovered an exotic, record-breaking curve. In doing so, they tapped into a major open question about one of the oldest and most fundamental kinds of equations in ...