The human brain has many folds and fissures, making it difficult for neuroscientists to visualize and analyze functional processing of the brain. My research involves developing new tools for the analysis and visualization of anatomical and functional brain data. I have been using an approach which uses circle packings to "unfold" and flatten the surface of the brain such that the mapping is a discrete approximation to the conformal mapping. In this talk I will give an overview of this method and present some preliminary results investigating parts of the brain involved in schizophrenia and bipolar disease. I will also present some preliminary results involving identical twins and discuss some of the statistical questions that need to be addressed in order to compare different brain maps.