Gideon Simpson is an associate professor in the Department of Mathematics where he works on mathematical challenges in the natural and applied sciences. His ongoing work includes developing and studying mathematical models, often with multiscale features, along with the formulation and implementation of efficient algorithms for simulation of these models. He has worked on applications in geosciences, fluid dynamics, plasma physics, optics, materials science, and chemistry. Currently, his focus is on efficient stochastic simulation methods with an eye towards variance reduction and uncertainty quantification. These techniques help scientists in other fields to address questions on the level of confidence they have in their quantitative predictions.