| Citation | Slade is the world's leading expert in the use of a combinatorial method, the "lace expansion"; using this, he has proved a number of fundamental results in statistical physics. With Hara he proved that self-avoiding walk has mean field behaviour in five or more dimensions, and also established mean field behaviour for critical percolation in high dimensions. Recently, with Brydges, he has developed powerful mathematically rigorous renormalisation techniques. |