Suppose that $A$ is a reduced finitely generated algebra over a field and $\mathfrak{m}\subset A$ is a maximal ideal. Is it true that the localization $A_{\mathfrak{m}}$ is analytically unramified, i.e. the completion
$$
\widehat{A_{\mathfrak{m}}} = \lim\limits_{\infty\leftarrow n}A_{\mathfrak{m}}/\mathfrak{m}^n
$$
is reduced?