  In my research career in the field of quantum turbulence, I have been
encouraged by Vinen. In this article, I review my works motivated by him and my
joint collaborations with him. Vinen encouraged me in studies on quantum
turbulence at zero temperature, Kolmogorov spectrum of a vortex tangle without
mutual friction, and fully coupled dynamics of quantized vortices and normal
fluid. Joint works include studies on diffusion of a vortex tangle, Kelvin wave
cascade, quantum turbulence created by an oscillating object, and coupled
dynamics of tracer particles and quantized vortices.
