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 ...
The original version of this story appeared in Quanta Magazine. Mathematics started with numbers—clear, concrete, intuitive. Over the last two centuries, however, it has become a far more abstract ...