Our theoretical/computational group is based at the Illinois Institute of Technology (IIT). The focus of our work is on the development of plasma based and (to lesser extent) structure-based accelerating concepts, including laser-plasma , plasma channel, and microwave-driven plasma accelerators. The group includes one postdoctoral fellow (Sergey Kalmykov) and two graduate students (Herman Geraskin and Michael Tushentsov). While pursuing this applied research, we pay special attention to the fundamentals of high intensity wave-plasma interactions, such as parametric instabilities in plasma channels, parametric excitation of plasma waves using multiple laser beams, and microwave propagation in magnetized plasmas. Most important advances have been made in the following areas: (1) theory of Raman instabilities in plasma channels; (2) generation of accelerating waves in magnetized plasma using Electromagnetically Induced Transparency (EIT), (3) development of laser-driven surface wave accelerator using solid-state materials with negative dielectric permittivity. These advances are briefly described below.