On genius: Most people have had the experience of talking with someone who seems to them to have lightning mathematical insight. You mention a problem to that person, something you have struggled with for hours or, in extreme cases, months or years. Voila, they solve it nearly instantly. What a genius!
This phenomenon occurs at every level, from elementary school to discussions amongst professional mathematicians. From the point of view of the person posing the problem, the "genius" appears to have special magical powers, abilities they do not have, and perhaps feel they will never have.
I believe this is wrong. I don't believe such a "genius" has access to some special ability that other people don't have. There is no such genius. What there is are people who systematically search out more ways of representing mathematical objects in terms of things they already understand well. They then slowly and laboriously practice using those many representations, until they come to seem simple and natural. This is more prosaic than the genius-with-special-powers story, but I believe it's more likely to be correct. More importantly, from the point of view of the current notes, it should be possible to support this process in the systems we build.
– https://michaelnotebook.com/notes/kill_math/kill_math.html