Her main research focus is harmonic analysis,[1] but she has also published research in discrete geometry including new results on the Erdős–Anning theorem.
[2] She is a professor of mathematics at the National and Kapodistrian University of Athens.
Iliopoulou did her undergraduate studies in mathematics at the National and Kapodistrian University of Athens, finishing in 2009.
[1] She received a Ph.D. in 2013 from the University of Edinburgh in Scotland, with the dissertation Discrete analogues of Kakeya problems supervised by Tony Carbery.
[1] Iliopoulou is one of three recipients of the 2024 L'Oréal-UNESCO Greek Awards for Women in Science.