The singularity categories of the Cluster-tilted algebras of Dynkin type
  In this paper, we use the stable categories of some selfinjective algebras to describe the singularity categories of the cluster-tilted algebras of Dynkin type. Furthermore, in this way, we settle the problem of singularity equivalence classification of the cluster-tilted algebra of type $A$, $D$ and $E$ respectively. 
Xinhong Chen, Shengfei Geng and Ming Lu
math.RT