Lie groups provide a natural framework for describing continuous symmetries in both mathematics and physics. These groups, which are simultaneously smooth manifolds, allow for the integration of ...

This field investigates the relationships and bounds between various function norms, particularly through inequalities that characterise the smoothness and approximability of functions, as well as the ...

On its surface, the Kakeya conjecture is a simple statement about rotating needles. But it underlies a wealth of mathematics. The Quanta Newsletter ...