In 1929 he became an associate professor of astronomy at Humboldt University of Berlin and, after Hilda Geiringer left in 1933, succeeded her as assistant to Theodor Vahlen at the Institute for Applied Mathematics.
As an assistant he deputized for Vahlen, who took up a position at the Ministry of Education from 1933 and concentrated on his work there, but had succeeded the expelled Richard von Mises in 1934.
On the other hand, one of his assistants, Karl-Heinz Boseck (exempt from military service due to illness), had a great influence on the mathematics faculty as a former student leader, member of the SS (he set up a department for numerical computing in the Sachsenhausen concentration camp) and fanatical National Socialist of the Second World War.
[1][2] In 1939, Klose was also in talks about the successor to Constantin Caratheodory in Munich (like Karl Strubecker, among others), which, despite positive reports from Vahlen and Bieberbach (who spoke out in favor of staying in Berlin), resulted in negative assessments by Oskar Peron failed.
In 1952/53 he was a full professor of applied mathematics at the University of Rostock and was commissioned to set up an aeronautical engineering faculty, which only existed there for a short time.