[1] Eisner was born on 1 July 1980 in Kharkiv, but has German citizenship.
She earned a diploma in applied mathematics in 2002 from the National University of Kharkiv, with a diploma thesis supervised by Anna Vishnyakova.
She then earned a diploma in mathematics at the University of Tübingen in 2004, followed by a Ph.D. in 2007.
[1][2] From 2007 to 2010, Eisner worked as a scientific assistant at the University of Tübingen.
[3] She is a coauthor of Operator Theoretic Aspects of Ergodic Theory (with Bálint Farkas, Markus Haase, Rainer Nagel, Graduate Texts in Mathematics 272, Springer, 2015).