Degenerations of ${\mathbf{C}}^n$ and Calabi-Yau metrics

We construct infinitely many complete Calabi-Yau metrics on ${\mathbf{C}}^n$ for $n\ge 3$, with maximal volume growth, and singular tangent cones at infinity. In addition we construct Calabi-Yau metrics in neighborhoods of certain isolated singularities whose tangent cones have singular cross section, generalizing work of Hein-Naber.