Baum was born on 15 November 1911 in Hechingen-Stetten, a son of a merchant. From 1930 to 1932, he studied two semesters of agriculture at the University of Hohenheim.[2] He served as a battalion commander in 3rd SS Totenkopf Infantry Regiment during the Operation Barbarossa, invasion of the Soviet Union. After recovering from severe wounds in 1943, Baum was promoted to regimental commander, and eventually reached the rank of SS-Oberführer. He took command of the SS Division Das Reich in July 1944, and saw action in the Falaise Pocket. After the war, Baum was interned by the British until December 1948.[3]
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