1)The soliton paradigm in mathematical and computational science;

2) Vortex Dynamics :Concepts, Coherent structure phenomena and Methods;

3) 2D Vortex dynamics and turbulence modeling: Psuedospectal and Contour 
dynamical methods and results;

4) 3D vortex dynamics and turbulence:From collapsing and reconnecting 
rings to turbulence;

5)Vortex dynamics of shocked interfaces- the Richtmyer-Meshkov environment.