  Monopole operators in Chern-Simons theories with charged matter have been
studied using the state-operator map in CFTs, as states on $\mathbb{R}\times
S^2$ with background magnetic flux on $S^2$. Gauge invariance requires a
dressing with matter modes which provides non-zero spin to the monopoles. In
this note we propose a description of the monopole operators directly on
$\mathbb{R}^3$, as a singular behavior of the gauge and matter fields in the
vicinity of the insertion point, with a dressing. We study abelian theories
with a charged boson or a charged fermion. We extend the discussion to abelian
supersymmetric Chern-Simons-matter theories and describe the BPS monopoles,
which have spin and preserve a single supercharge. We match our results against
the prediction from the superconformal index.
