Quantum science and technology with trapped atomic ions

Trapped atomic ions are one of the most precisely controllable quantum systems in existence. Their uses range from "textbook" measurements of simple quantum phenomena, like two-level systems and quantum harmonic oscillators, to serving as frequency references for some of the world's best clocks, to hosting the quantum information used in some of the most powerful quantum computers and quantum simulators. I will give an overview of the physics of trapped ions, the tools used to control them, and a sampling of the scientific results and future possibilities that they have and will enable.