Just go and get "the fabric of the cosmos" by Brian Greene and ask him about some of the stuff which doesn't have any answers . It's basically all the same stuff but much more in-depth
Ask him how the existence of magnetic monopoles is connected to the classification of principle G-bundles over the sphere.
You'd be sitting a fairly tough course if you got that in an exam! The question is my own, but only because I know the answer! It was fairly big discovery when the link between the mathematics of fibre bundles and the physics of magnetic monopoles was made. Maxwell's equations don't allow for magnetic monopoles on contractible domains (ones which you can continuously shrink to a point), but Dirac had an idea which made them possible on other domains, and it transpired that his argument had strong connections to modern concepts in differential geometry.Sounds more like a question you'd get in an exambut is that a question that someone could actually answer or did you just make it up?
"There are more atoms in a glass of water than there are glasses of water in all of the worlds oceans."
You'd be sitting a fairly tough course if you got that in an exam!