Eick began her career with postdoctoral positions at RWTH Aachen and the University of Würzburg. Since 2000, Eick has been a contributor to the "coclass project" that aims to classify groups of prime power order and other nilpotent algebraic objects using
coclass as a primary invariant. In 2005, 2011 and 2017 she was a guest scientist at the University of Auckland working with Eamonn O'Brien and funded by the Feodor Lynen Research Fellowship from the
Alexander von Humboldt Foundation. Eick is a coauthor of the computer algebra system GAP and has been a member of the GAP council since 2001 (chair since 2021). == Selected publications ==