I'm no mathematician, but my gut tells me that advancing mathematics is not the clinical, uninspired, technical process that the "mathematician" stereotype implies. Instead, it seems to be fueled as much by creativity, imagination and mental flexibility as any purely artistic endeavor. Like art, it also requires significant discipline to master its technical underpinnings, is a gamble that pays off in years (if ever), and produces works that have the power to completely alter human understanding.
So it's a bummer it has not developed a rebellious and disruptive image, the way pop art careers have. As a result, the field is not benefited by creative, motivated youth with ambitions of changing the world. One can only hope improvements in math education (more conceptual techniques, higher teacher pay, less corporate influence, etc) can make it more accessible and catalyze an eventual change in its perception.