Rudolf Kochendörffers father, Albert Kochendörffer(1877-1958) was a lending bookseller (German: Leihbuchhändler). His mother was Bertha Kochendörffer. In 1930, Kochendörffer completed his Abitur. Kochendörffer subsequently studied at the Technical University of Berlin from 1930 to 1936 on the study of mathematics, physics and philosophy.[4]
In 1936, he was promoted to Dr Phil, with a doctoral thesis titled: Investigations on a presumption of W. Burnside (German:Untersuchungen über eine Vermutung von W. Burnside) (Burnside's theorem), whose doctorals advisors where among others, Ludwig Bieberbach, Issai Schur and Erhard Schmidt, but was forced to resign as a Jew in 1935. During 1938/9 he was an assistant at the University of Göttingen. From 1939 to 1942 he was an assistant to the cryptanalysis department of the German Foreign Office (German: Auswärtiges Amt) and from 1942-1945 he was employed as a mathematical cryptanalysis in the OKW/Chi and the GDNA. from 1946 to 1948 he worked as a Senior assistant at the Mathematical Institute of the Humboldt University of Berlin. In 1948, Kochendörffer habilitated in the subjects of mathematics in Berlin, and was promoted to full professor, therein working as a lecturer. He then found position for a year as Professor with full lecturing for mathematics at the University of Greifswald. At the start of the new decade in 1950, Kochendörffer became a Professor of Mathematics at the University of Rostock, a position he held until 1966.[2]
Kochendörffer specialized in group theory. He was also known for writing various algebra textbooks. Between 1967-1970 Rudolf Kochendörffer was Visiting Professor of Mathematics, Faculty of Natural Sciences at the Johannes Gutenberg University of Mainz,[5] and at the University of Tasmania. Between 1970-1977, Kochendörffer finished his career as Professor of Mathematics at the Technical University of Dortmund.[2]
He was a member of the Mathematische Gesellschaft der DDR [de], German Mathematical Society and the member of Gesellschaft für Angewandte Mathematik und Mechanik.[2]