From industrial robots to self-driving cars, engineers face a common problem: keeping machines steady and predictable. When ...

“There are five fundamental operations in mathematics,” the German mathematician Martin Eichler supposedly said. “Addition, subtraction, multiplication, division and modular forms.” Part of the joke, ...

Mathematicians used “magic functions” to prove that two highly symmetric lattices solve a myriad of problems in eight- and 24-dimensional space. The points could be an infinite collection of electrons ...

As artificial intelligence (AI) takes on increasingly critical roles—from managing power grids to piloting autonomous ...