  A first-principle study of the collective oscillation spectrum of a strongly
correlated one-component plasma in a strong magnetic field is presented. The
spectrum consists of six fundamental modes which are found to be in good
agreement with results from the Quasi-Localized Charge approximation. At high
frequencies additional modes are observed that include Bernstein-type
oscillations and their transverse counterparts which are of importance for the
high-frequency optical and transport properties of these plasmas.
