Noncommutative geometry, at its core, challenges the classical notion of a point by allowing coordinates to fail to commute. This alteration leads to a rich interplay between geometry and algebra, ...

The original version of this story appeared in Quanta Magazine. Hard problems are usually not a welcome sight. But cryptographers love them. That’s because certain hard math problems underpin the ...

The Nature Index 2024 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...