A team of four prominent mathematicians, including two Fields medalists, proved a conjecture described as a “holy grail of additive combinatorics.” Within a month, a loose collaboration verified it ...

Set theory is a mathematical abstract concerned with the grouping of sets of numbers that have commonality. For example, all even numbers make up a set, and all odd numbers comprise a set. All numbers ...

Mathematics has long been seen as a subject of formulas, equations, and abstract concepts that exist only on the pages of textbooks. For many students, this abstraction creates a disconnect ...

The original version of this story appeared in Quanta Magazine. A new proof has brought mathematicians one step closer to understanding the hidden order of those “atoms of arithmetic,” the prime ...

Mathematicians have iterated a new upper-bound limit on a famously elusive math concept: the Ramsey Number. The Ramsey number’s upper bound hasn’t changed since Paul Erdős calculated it in 1935. The ...