The Centre for Antimatter-Matter Studies (CAMS) at ANU investigates the interaction of positrons with matter, both theoretically and experimentally, with both fundamental physics and applications to materials and medicine in mind. The student would join researchers at the ANU and James Cook University nodes of CAMS, who are currently investigating the interaction of positrons with soft, biological matter, which is important for medical diagnostic procedures, such as positron emission tomography (PET). This procedure is used to detect cancer and to evaluate the efficiency of associated therapeutic procedures, as well as in the monitoring brain function in relation to certain degenerative diseases. The project addresses a deficiency in the understanding of the fundamental physics at the atomic and molecular level, which limits the full potential of these important applications. The CAMS laboratory at ANU is currently investigating fundamental positron scattering cross sections for the relevant biological molecules which, when incorporated into Boltzmann's kinetic equation, will enable calculation of the parameters associated with PET. A recent article (Phys Rev Letters 102, 230602 (2009), R.D. White and R.E. Robson) addresses for the first time the calculation of transport coefficients for positrons in soft condensed matter. The student's role would be to participate in the next phase of the project, the calculation of the range of positrons in soft matter, i.e., the average distance between the points of emission and annihilation into two gamma rays, with a view to enhancing resolution in PET imaging. This is basically a theoretical project, involving mathematical analysis and numerical computational techniques.