We perform theoretical studies of complex dynamics in materials. We use physically-motivated models to make predictions which can be tested experimentally and are useful to better understand the observed phenomena. We are currently working on several projects, including: quantum computing (superconducting Josephson-junction qubits, scalable quantum circuitry, improved designs for the control, coherent oscillations, and readout), vortex dynamics in superconductors, new fluxtronics devices, complex collective phenomena, nano-magnetism and spintronics.