There is a strong record of productive collaboration between researchers in China and Australia in the area of partial differential equations and related topics. This conference will serve to further develop and enhance this strong relationship by bringing together some of the top researchers in these fields. The topics covered will include areas in which both China and Australia have a record of strong contribution, including fully nonlinear elliptic and parabolic PDE and related topics such as optimal transport; geometric PDE including curvature problems and geometric flows and applications in relativity theory; Semilinear PDE including critical exponents and singular perturbations; Shock waves and fluid flow; and related areas of PDE and analysis. This is a part of the ANU special year on Nonlinear and Geometric PDE.