We are currently working in an exciting new area of mathematics called Topology optimisation. Our aim is to develop the tools to optimize the shape and topology of porous and composite materials to perform specific tasks. In particular we have a current ARC Discovery grant that will provide funding for APA top-ups and research costs for projects relating to optimal design of bone implants. Specific projects involve research in a range of fields from applied mathematics as well as computational science. There is also scope for projects with an emphasis on pure mathematics (geometric evolution equations).