The University of Michigan , Ann Arbor ( U of M , U-M , UM or simply Michigan ) is a public university in the state of Michigan . The University of Michigan , Ann Arbor ( commonly referred to as Michigan , U-M , UMich , or U of M ) is a public research university located in Ann Arbor , Michigan in the United States . It is the state 's oldest university and the flagship campus of the University of Michigan .