This question is a different flavor of this one, the difference being, that I am not looking for help in understanding something.
My "problem" is, that while ramping up my knowledge about the Riemann mapping theorem for fixing my recent MO question, I had some (possibly new) ideas of how it could be applied to some geometric problems like calculating geometric probability, creating random instances, shape constraints in optimization.
What I would like know, is whether those ideas should be bundled in a single question under the umbrella of big list of reference requests or, whether one question per idea would be more appreciated in view of more specific labelling.