  Assume $\mathsf{ZF}+\mathsf{AD}+V=L(\mathbb{R})$ and let $\kappa<\Theta$ be
an uncountable cardinal. We show that $\kappa$ is J\'onsson, and that if
$\mathrm{cof}(\kappa)=\omega$ then $\kappa$ is Rowbottom. We also establish
some other partition properties.
