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While the recent advances in topology have led to a classification scheme for electronic bands described by the standard theory of metals, a similar scheme has not emerged for strongly correlated systems such as Mott insulators in which a partially filled band carries no current. This talk will address this deficiency by including interactions into the three dominant models for topological states, the Haldane and KM/BHZ models. We show that all of these models possess a quarter-filled state that is an insulator once the interactions exceed the bandwidth.