Real world applications have steered research in mathematics for centuries, and at McMaster applications involving differential equations are a central theme of active research. There are research groups in Applied Partial Differential Equation (nonlinear optics, phase boundary motion in materials, superconductivity, viscous flow, and water waves), Dynamical Systems (KAM theorems, bifurcation theory), Mathematical Biology (population ecology, epidemiology, neural networks), Mathematical Finance, and Numerical Analysis (wavelets and spectral methods).