A part of me wants to see a serious Mathematician go out and create a model that would show earth "to be flat". I'd be surprised if it wouldn't be possible, since you can bijectively map surfaces into spheres, in which the poles equate the "edges". But you're right, nobody would really want to stake their reputation on an academic exercise.

People (including some scientists) can't even seem to process the fact that "the center of the solar system" is just an arbitrary choice that can dramatically simplify calculations in Physics and not some universal fact (as far as we know today), so I can't see anyone accepting a mathematically equivalent formulation of our planet that has such a long list of conspiratory nutjobs behind it.

I'd be quite interested to see if such a formulation would somehow reveal new insights though, assuming that it was possible to find such in the first place.