Abstract: Let $\mathcal{H} \subset \mbox{Hol}(\mathbb{D})$ be a Hilbert space of analytic functions. A finite positive Borel measure $\mu$ on $\mathbb{D}$ is a Carleson measure for $\mathcal{H}$ if \[ \|f\|_{L^2(\mu)} \leq C \|f\|_{\mathcal{H}}, \qquad f \in \mathcal{H}. \] Equivalently, we can say that $\mathcal{H}$ embeds in $L^2(\mu)$. In 1962, Carleson solved the corona problem. But, besides solving this difficult problem, he opened many other venues of research. For example, he characterized such measures (now called Carleson measures) for the Hardy-Hilbert space $H^2$. However, the same question perfectly makes sense for any other Hilbert space of functions. We will discuss Carleson measures for the classical Dirichlet space $\mathcal{D}$.