Mathematicians have opened a new chapter in the theory of moonshine, one which begins to harness the power of the pariahs - sporadic simple groups that previously had no known application. "We've ...

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 ...

Many complicated advances in research mathematics are spurred by a desire to understand some of the simplest questions about numbers. How are prime numbers distributed in the integers? Are there ...