Uniformization of $S^2$ and flat singular surfaces
  We construct flat metrics in a given conformal class with prescribed singularities of real orders at marked points of a closed real surface. The singularities can be small conical, cylindrical, and large conical with possible translation component. Along these lines we give an elementary proof of the uniformization theorem for the sphere. 
Sergiu Moroianu
math.DG math.AP