Wollny has contributed to the Neue Bach-Ausgabe, and has been an editor of Carl Philipp Emanuel Bach: The Complete Works.
[3] Wollny was habilitated in 2009 at the University of Leipzig, writing "Studien zum Stilwandel in der protestantischen Figuralmusik des mittleren 17.
He has been director of the Bach Archive from 2014,[3][4] and was instrumental in returning the manuscript score of O Ewigkeit, du Donnerwort, BWV 20, to Leipzig.
[4] In 2019, the Bach Archive acquired vocal books (Stimmbücher) of the final movement, "Wir setzen uns mit Tränen nieder", of the St Matthew Passion which can be dated to Berlin in the 1770s, proving that Bach's sacred music was performed at least in private circles at that time.
[2][3] He has also taught regularly in Dresden, and as a guest in Weimar, and the Universität der Künst and Humboldt University in Berlin.