  We review recent important topics in quantized vortices and quantum
turbulence in atomic Bose--Einstein condensates (BECs). They have previously
been studied for a long time in superfluid helium. Quantum turbulence is
currently one of the most important topics in low-temperature physics. Atomic
BECs have two distinct advantages over liquid helium for investigating such
topics: quantized vortices can be directly visualized and the interaction
parameters can be controlled by the Feshbach resonance. A general introduction
is followed by a description of the dynamics of quantized vortices,
hydrodynamic instability, and quantum turbulence in atomic BECs.
