Original: Obersturmbannführer Rudolf Höss was overall commandant of the Auschwitz complex from May 1940 - November 1943; Obersturmbannführer Arthur Liebehenschel from November 1943 - May 1944; and Sturmbannführer Richard Baer from May 1944 - January 1945.
Simplified: After him, Arthur Liebehenschel and Richard Baer became commander of the camp.