Born in Bielefeld, Bischoff completed the old language learning at the Schadow-Gymnasium [de] in Zehlendorf (Berlin) (Abitur 1971).
He also studied biology and musicology with Klaus Kropfinger and Rudolf Stephan at the Free University of Berlin.
In 1992 he received his doctorate in musicology, and his dissertation dealt with the development of Beethoven's reception of Robert Schumann.
Since 1989 Bischoff has also been active in choir conductor training, both in Berlin and at the Nordkolleg Rendsburg [de], at the Federal Academy for Cultural Education in Wolfenbüttel and at the music training centres Schloss Zeillern and Schloss Zell an der Pram [de] in Austria.
He was appointed to the Scientific State Examination Office of the University of Kassel and became a member of the commission for the development of a new concept for the amendment of the study courses of school music, applied musicology and music education at the University of Kassel.