Don't take it the wrong way and don't take it personally, but herein may lie the problem: companies are rarely looking for a deep thinker, but for said problem solver and someone getting shit done. At least, that's what most software development is about. Building things that can be sold.
That is why I wrote "(to put it in mathematical terms)": also Grothendieck and his scholars solved hard problems.
If you compare mathematical style of the mentioned Alexander Grothendieck and Paul Erdős, you will sense that they represent very different styles of doing mathematics. That is what I am referring to.
