Johannes Wilhelm Heinrich Juilfs, also known by the alias Mathias Jules, (15 December 1911 – 1995) was a German theoretical and experimental physicist. He was a member of the Sturmabteilung (SA) and then, in 1933, of the Schutzstaffel (SS). Prior to World War II, he was one of three SS staff physicists who investigated the physicist Werner Heisenberg during the Heisenberg Affair, instigated, in part, by the ideological deutsche Physik (German physics) movement. During the war, he worked as a theoretical physics assistant at the Kaiser Wilhelm Institute for Physics. During the denazification process after World War II, he was banned from working as a civil servant in academia. For a few years, he worked as a school principal, and then he took a job as a physicist in the textile industry. With the help of Heisenberg and the Minister of Lower Saxony, he was able to become a full professor at the University of Hanover.
Juilfs conducted his university studies from 1930 to 1938. He was a student of Werner Kolhörster and Max von Laue. He received his doctorate in mathematical physics under Kolhörster, in 1938, from the Friedrich-Wilhelms-Universität (today, the Humboldt-Universität zu Berlin). He completed his Habilitation there on 30 March 1945.
Juilfs was a theoretical physics assistant from 1938 to 1945 at the Kaiser-Wilhelm Institut für Physik (KWIP, Kaiser Wilhelm Institute for Physics; today, the Max-Planck Institut für Physik), first for Max von Laue and from 1943 to Werner Heisenberg.