It was hailed as a revolutionary mathematics curriculum that prioritized the concept of a set over the concept of a number. 'New math' was introduced to millions of US schoolchildren in the 1960s. Yet ...

The Math 8806-8807 sequence will cover the following topics: Group Theory (Group actions, Sylow, Nilpotent/Solvable, simple groups, Jordan-Holder series, presentations); commutative algebra ...

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms. All of modern mathematics is built on ...

Three years ago Christopher Havens, who has been serving a prison sentence of more than two decades for murder, published a discovery in number theory from his cell. A significant class of fractions, ...

Zermelo-Fraenkel set theory is so widely accepted that modern mathematicians hardly think about it. But believing in its core principles didn’t come easily. How do mathematicians decide that something ...

The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...