[1][2] In 1980 she completed her time in Munich, publishing The development of tensor calculus, in 1994 in a revised form as a book.
[1] From 1994 until her retirement she was a professor at the Institute for the History of Natural Science, Mathematics and Engineering at the University of Hamburg, where she succeeded Christoph J. Scriba as director.
[4] Reich's publications include biographies of Carl Friedrich Gauss, Michael Stifel and François Viète.
[3] With Gericke, Reich produced an annotated translation of Viète's Analyticam In artem Isagoge from 1591.
With Kurt Vogel, Gericke and Reich reissued Johannes Tropfke's history of elementary mathematics.