  Continuum Vlasov simulations can be utilized for highly accurate modelling of
fully kinetic plasmas. Great progress has been made recently regarding the
applicability of the method in realistic plasma configurations. However, a
reduction of the high computational cost that is inherent to fully kinetic
simulations would be desirable, especially at high velocity space resolutions.
For this purpose, low-rank approximations can be employed. The so far available
low-rank solvers are restricted to either electrostatic systems or low
dimensionality and can therefore not be applied to most space, astrophysical
and fusion plasmas. In this paper we present a new parallel low-rank solver for
the full six-dimensional electromagnetic Vlasov-Maxwell equations with a
compression of the particle distribution function in velocity space. Special
attention is paid to mass conservation and Gauss's law. The low-rank Vlasov
solver is applied to standard benchmark problems of plasma turbulence and
magnetic reconnection and compared to the full grid method. It yields accurate
results at significantly reduced computational cost.
