A cutter is configured with a diamond table made from a thin hard facing material layer of polycrystalline diamond bonded to a backing layer made from cemented tungsten carbide. The face of the diamond table includes a concavity formed with a curved shape wherein at least a portion of the face in a center of the cutter is recessed with respect to at least some portion of the face about the perimeter of the cutter. This concave curved shape is formed in the diamond table itself such that the diamond table has a varying thickness depending on the implemented concavity.