Career
Hoffmann was a student of Erhard Weigel and, until his death in 1699, his (assistant). He accompanied him on his journey of 1696 - 1697 to Denemark and Sweden. From February 1701 Hoffmann was employed first as Adjunkt and later as astronomer and observator at the Königlich Preußischen Sozietät der Wissenschaften in Berlin.
At Berlin Observatory he began his duties as assistant of the first director Gottfried Kirch and after the latter"s death in 1710, he succeeded him as director and continued the main exercise of up till his own death.