Quantifying modelling uncertainty is essential for credible simulation-aided knowledge discovery, prediction and design. This workshop brings together a diverse set of researchers to identify challenges and novel research directions in the field of uncertainty quantification (UQ). Talks will focus on both algorithm development and applications of UQ in areas ranging from aerospace, material and electrical engineering to the environment. The focus will particular focus on various issues surrounding high-dimensional parameter spaces, multi-fidelity modelling, parameter inference, optimal experimental design, and design under uncertainty. This workshop is part of the ANU Mathematical Sciences Institute special year in Computational Mathematics.