There is a common perception that science is impersonal, non-creative and objective. I think solving math problems require as much creativity as analytical thinking and just like art, music any scientific field is people driven and subject to fads, whims and fashions.
Newton, Einstein, Tesla are as much fashion icons and are as much big artists as Shakespeare or Matisse in their resp field. Infact when I see my ex-colleagues (computer engineers) I feel lot of the top lot are also very good thinkers, exceptional bloggers(writers) and their personality shows in the work they do. So they as computer engg do not mass-produce fixed sized boxes but produce software that have their personal fingerprints.
I wonder if our education system is to be blamed for people to believe that only analytical people can do well in scientific fields. I have actually found that people who hold top jobs are exceptionally creative as well.