We use simulation and theory to understand how polymer materials can be designed at the molecular level. Our interests include both the equilibrium and dynamic behavior of polymer materials. In particular, we study the impact of molecular features such as charge, molecular stiffness, and architecture on material properties. We also consider the impact of out-of-equilibrium forces such as strong flows on these same materials. Close collaboration with experimentalists allows us to refine our models and transfer these systems from robust theory into real applications.