A new proof demonstrates the power of arithmetic dynamics, an emerging discipline that combines insights from number theory and dynamical systems. Joseph Silverman remembers when he began connecting ...

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 ...

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 ...

Somewhere at the edge of mathematics lurks a number so large that it breaks the very foundations of our understanding - and ...

THE mathematicians’ version of nothing is the empty set. This is a collection that doesn’t actually contain anything, such as my own collection of vintage Rolls-Royces. The empty set may seem a bit ...

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