  We give a bound on the number $\mathcal{Z}$ of intersection points in a ball
of the complex plane, between a rational curve and a lacunary algebraic curve
$Q=0$. This bound depends only on the lacunarity diagram of $Q$, and in
particular is uniform in the coefficients of $Q$. Our bound shows that
$\mathcal{Z}=O(dm)$, where $d$ is the degree of $Q$ and $m$ is the number of
its monomials.
