Wolfgang Franz (born October 4, 1905 in Magdeburg, Germany; died April 26, 1996) was a German mathematician who specialized in topology particularly in 3-manifolds, which he generalized to higher dimensions.
He is known for the Reidemeister–Franz torsion.
He also made important contributions to the theory of lens spaces.
During World War II Franz led a group of five mathematicians, recruited by Wilhelm Fenner, and which included Ernst Witt, Georg Aumann, Alexander Aigner, Oswald Teichmüller and Johann Friedrich Schultze, to form the backbone of the new mathematical research department in the late 1930s, which would eventually be called: Section IVc of Cipher Department of the High Command of the Wehrmacht (abbr.