Geometric group theory is an interdisciplinary field that studies groups by exploring their actions on geometric spaces. By interpreting abstract algebraic properties through the lens of geometry and ...

Group theory forms a cornerstone of modern algebra, providing a structured framework for analysing symmetries in mathematics, physics and beyond. A group is a set coupled with an operation that ...

The original version of this story appeared in Quanta Magazine. In 2003, a German graduate student named Britta Späth encountered the McKay conjecture, one of the biggest open problems in the ...

Inside the symmetries of a crystal shape, a postdoctoral researcher has unearthed a counterexample to a basic conjecture about multiplicative inverses. “I’m nearly at the end of the talk, and it’s ...