This talk follows a review paper by Khavinson and Neumann (Notices AMS, 55, 666-675, 2008). The authors explain how one can get an upper (and lower) bound on the number of images of a source by n masses. (If n>1, the number is 5(n-1)). I liked this paper because it is a nice application of complex analysis, and to some extent, dynamical systems.