The functional processing of the human brain mainly occurs on the surface, in the grey matter. The grey matter is highly convoluted and varies considerably across individuals. This surface is also topologically equivalent to a sheet. The complex folding patterns and individual variability in the cortical surface makes it difficult to compare and understand how the brain functions. In this seminar I will present how I am using circle packings to create quasi-conformal flat maps and then apply these methods to magnetic resonance imaging (MRI) data from the human brain in order compare brain function across subjects. Some of the topological and computational problems that arise will be discussed. Quasi-conformal maps that display the functional activation of the brain will be presented.