Quanta Magazine

First-Year Graduate Student Finds Paradoxical Set

Mathematicians rejoice when they prove that seemingly impossible things exist. Such is the case with a new proof posted online in March by Cédric Pilatte, a first-year graduate student at the ...
Wired

‘Groups’ Underpin Modern Math. Here’s How They Work

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 ...
Quanta Magazine

‘Groups’ Underpin Modern Math. Here’s How They Work.

What do the integers have in common with the symmetries of a triangle? In the 19th century, mathematicians invented groups as an answer to this question. Mathematics started with numbers — clear, ...