Ziegler received her Ph.D. in Mathematics from the Hebrew University under the supervision of Hillel Furstenberg.

She was a faculty member at the Technion during the years 2007–2013, and joined the Hebrew University in the Fall of 2013 as a full professor.

[5] Other important contributions include the generalization of the Green-Tao theorem to polynomial patterns,[6][7] and the proof of the inverse conjecture for the Gowers norms in finite field geometry.

[8][9][10] Ziegler won the Erdős Prize of the Israel Mathematical Union in 2011,[1] and the Bruno memorial award in 2015.

She was the European Mathematical Society lecturer of the year in 2013, and an invited speaker at the 2014 International Congress of Mathematicians.