  Three-dimensional Einstein-Maxwell theory with non trivial asymptotics at
null infinity is solved. The symmetry algebra is a Virasoro-Kac-Moody type
algebra that extends the bms3 algebra of the purely gravitational case.
Solution space involves logarithms and provides a tractable example of a
polyhomogeneous solution space. The associated surface charges are
non-integrable and non-conserved due to the presence of electromagnetic news.
As in the four dimensional purely gravitational case, their algebra involves a
field-dependent central charge.
