For the first time, experiments demonstrate the possibility of sharing secrets with perfect privacy — even when the devices used to share them cannot be trusted.

Most every cosmologist believes the universe is flat. A new analysis argues that it’s closed.

Three mathematicians show, for the first time, how to form a square with the same area as a circle by cutting them into interchangeable pieces that can be visualized.

Infinite sums are among the most underrated yet powerful concepts in mathematics, capable of linking concepts across math’s vast web.

A team of mathematicians has solved an important question about how solutions to polynomial equations relate to sophisticated geometric objects called Shimura varieties.

Large blocks of genes conserved through hundreds of millions of years of evolution hint at how the first animal chromosomes came to be.

Back when the sun was 30% dimmer, Earth should have frozen solid. Yet water flowed and life blossomed. The solution to the paradox shows that we might have that faint sun to owe for life’s existence —...

The n-queens problem is about finding how many different ways queens can be placed on a chessboard so that none attack each other. A mathematician has now all but solved it.

Infinite sums are among the most underrated yet powerful concepts in mathematics, capable of linking concepts across math’s vast web.