From 1967 to 1973 Reich was a scientific assistant at the Research Institute of the Deutsches Museum in Munich and the Institute for the History of Mathematics and Natural Sciences at the Ludwig Maximilian University of Munich, where in 1973 she graduated under supervision of Helmuth Gericke. In 1980 she completed her time in Munich, publishing The development of tensor calculus, in 1994 in a revised form as a book.
