Mathematical research

An organic chemist devises synthetic routes to newly discovered molecules.

A particle physicist tries to elucidate sub atomic matter. Recently there was the discovery of magnetic electricty, for example.

A human biologist discovers how the body works.

What exactly is the nature of mathematical research?

>>4
Could do. Though I meant I've never heard anything mainstream e.g. on the news. And as >>8 points out understanding may be difficult.