Basically we're really terrible at guessing what the future holds.
Basically we're really terrible at guessing what the future holds.
And it makes sense, especially in our times, sophisticated PR (and Einstein enjoyed that, too, in addition in being a genius) just trumps any recognition one might get in a life time, in the short term that is.
If you are not seeking some grandiose recognition (like Newton or Edison, famously) you are potentially a better explorer of the yet Unknown not bothering wasting any energy and being less corruptable by discoveries, you are happy to share with others and helping to bring about.
Off the top of my head: Three examples of rather unknown "geniuses" in physics in no particular order:
Chien-Shiung Wu, Oliver Heaviside, John Michell
One could also argue, as I sometimes do, too, that a genius is just a convenient narrative device in order to highlight and illustrate some important turning point with the historical person serving as some responsible "actor" in bridging over an otherwise complex and often self-contradictory development into a tangible coherent state.
There needs to be a new term. "Genius" is too limp to describe individuals who radically alter the curriculum taught to undergraduate students.
Shrodinger, maybe? He is a really large part of the reason people study matrices before college, and then go and complain because nobody can show them a use for the thing.
But any demonstration requires modern knowledge, and matrices are one of the very few modern thing students see. If you want to show them 3D graphics, you will need to teach programing first. Yeah, some will know it by them, but schools also can't rely on that.
(As an aside, chemistry also has some weirdly modern knowledge on its curriculum. Also out of context, just thrown in there because it's important.)
The nearest application I can think of is for modeling stochastic processes, but students see so little statistics that I imagine that will only change the object on the "why am I even studying X?" complaint.
The kind of example you would get for matrix math would be something like: "Here is a triangle described by these points, here is a matrix that projects them in a 3D camera. In such-and-such 3D library, points are projected with the matrix by doing these steps. Compute and plot the result of applying the matrix to each point." And then in successive examples you can add some details about how you go about building up the matrix by computing the camera, translating the poly and so forth, and make comparisons to how it can be done in some scenarios using only trigonometry, and further comparisons to camera lenses and artist's 3D projection with horizon and vanishing points. If you put all those connections there in one place, you have the starting point, and then it can be elaborated on into both the pure math topics(why does this mathematical representation work) and the computing topics(how do I automate the process of plotting points).
What tends to happen is that the text doesn't allow enough of a detour to make all of those connections, so you instead get an extraordinarily brief allusion to application in a single word problem, after a completely abstract introduction.
He is fashionable nonsense.
There is some irony in dismissing him as "nonsensical", because he himself suggested the Tractatus was "nonsense". The point of writing it was to demonstrate that philosophy in his time (e.g. the logical atomism of Russell) had gone astray.
And the last thing these schemes need is a living artist who can - upon his work reaching stardom - simply make more of it.
In this respect, dead poets are much safer to bet the farm on.