Several fields of mathematics have developed in total isolation, using their own 'undecipherable' coded languages. Mathematicians now present 'big algebras,' a two-way mathematical 'dictionary' ...

A modern Red Riding Hood on her way to Grandma’s house can meander through the woods, or drive down the interstate, or even climb a mountain to come around the back way. All those routes will get her ...

Every pure mathematician has experienced that awkward moment when asked, “So what’s your research good for?” There are standard responses: a proud “Nothing!”; an explanation that mathematical research ...

Representation theory transforms abstract algebra groups into things like simpler matrices. The field’s founder left a list of 43 problems for others to study, iterate on, and prove. One mathematician ...

Masaki Kashiwara received the honor, often regarded as the Nobel Prize in mathematics, for work that combined different mathematical fields to solve challenging problems. By Kenneth Chang Masaki ...