Testing fundamental symmetries with trapped atoms and ions

Atom and ion trapping and cooling techniques, in conjunction with rapidly advancing laser and microwave technology, not only revolutionized atomic physics, but also have a profound impact on searches for physics beyond the Standard Model at very low energies. I will review experiments at the intersection of atomic, nuclear and particle physics that use these methods to search for permanent electric dipole moments implying time-reversal violation, Lorentz/CPT violation, and scalar/tensor interactions in beta decay, as well as current efforts towards improved measurements of atomic parity violation.