Dr Hall has published two books and over one hundred papers in ten years. His achievements span probability and statistics and include influential contributions to martingale limit theory, rates of convergence, extreme value theory, density estimation and cross-­validation, coverage and other problems in geometric probability. Noteworthy is his work on rates of convergence in weak limit theorems for which he developed the "leading term approach". This leads to a description of rates of convergence on arbitrary sets and a precise account of rates of convergence of non-uniform metrics. Dr Hall has been awarded the Rollo Davidson Prize and the Australian Mathematical Society Medal.