She is currently Professor of Byzantine Studies at the University of Vienna, a position she has held since 2011.

[2] She was a Professor in the History Department of the University of California, Los Angeles between 1994 and 2011, before taking up her current post in Vienna.

[6] Rapp is a member of the editorial board of the online open-access journal Medieval worlds.

[7] She is the author of two major monographs, and has published over fifty research articles in English and German.

[8] On 4 November 2019 Rapp gave the twenty-eighth annual W. Kendrick Pritchett Lecture at University of California, Berkeley, with 'The Monastery of Saint Catherine in the Sinai and its Manuscripts: A Crossroads of Christendom in the Late Antique Mediterranean'.