First off, I have no interest in being a mathematician. Math was always and continues to be quite difficult for me.
So, as an outsider to advanced math, it blows my mind that there are people who’s entire job title is mathematician. How does that work? What does a mathematician do?
This is such a neat window into a whole different world for me, thank you for writing all this out!
It does sound very much like artists and the whole conversation of who’s selling out and who is being true to the art.
It seems to me that we definitely need both types in this world, ones like you who are curious and just want to explode the edges of what we understand for the sake of discovery, and ones who are willing to apply their mathematic knowledge to narrowly defined problems.