Bitcoin miners collect and broadcast transactions in a block and verify their validity. Then they apply a cryptographic hash function of the previous block’s header to the new block. Finally, they try ...

Number theorist Andrew Granville on what mathematics really is — and why objectivity is never quite within reach. In 2012, the mathematician Shinichi Mochizuki claimed he had solved the abc conjecture ...

In work that has been 30 years in the making, mathematicians have proved a major part of a profound mathematical vision called the Langlands program. A group of nine mathematicians has proved the ...