[1] In 1979, he completed his doctorate (Promotion) at the University of Bonn with thesis Entwicklung des Mannigfaltigkeitsbegriffs von Riemann bis Poincaré (Development of the concept of manifold from Riemann to Poincaré) under the supervision of Egbert Brieskorn and Henk J. M.
He also works at the University of Wuppertal's Interdisziplinären Zentrum für Wissenschafts- und Technikforschung (IZWT, Interdisciplinary Center for Science and Technology Research), which he co-founded in 2004.
[1] Scholz's research deals with the emergence of the manifold concept developed by Riemann, Poincaré and others, as well as the historical relations of mathematics to its applications in the 19th century.
Scholz has investigated Karl Culmann's graphic statics, the determination of the crystallographic space group by Evgraf Fedorov, the applied mathematics of Hermann Grassmann, and the relation of Gauss's ideas on non-Euclidean geometry to his geodetic work.
[7] He is a co-editor, with Friedrich Hirzebruch, Reinhold Remmert, Walter Purkert, and Egbert Brieskorn, of the collected works of Felix Hausdorff.