In July 2011, mathematical scientists from around the world gathered in Vancouver, BC, Canada for the 7th International Congress on Industrial and Applied Mathematics – ICIAM 2011. The meeting highlighted the most recent advances in the discipline and demonstrated their applicability to science, engineering and industry, emphasizing industrial applications and computational science in new and emerging topic areas identified by panels of top international scientists. Professor Andrea Bertozzi illustrated the dynamics of particle-oil mixtures in spills such as the Gulf of Mexico Oil Spill and demonstrated how mathematical modeling can help speed up the process of cleanups.