Liia works at the e-Governance Academy as a Senior Expert on e-democracy. In 2005-2015, she managed the e-democracy domain at eGA, which aims to improve and update the functional mechanisms of democracy in society and state governance with the help of ICT. Liia is actively involved in the Estonian civic society.

Liia has a PhD in Physics from Tartu University. She worked for 20 years as an astrophysicist at Tartu Observatory before transitioning from a scientific career to politics in 1990, when she was elected to both the Supreme Council and Congress of Estonia. She worked closely on issues related to the restoration of Estonian statehood as a member of working groups and was the chair of the editing committee of the Constitutional Assembly. She was elected as an Member of Parliament in the 7th, 8th and 9th parliament of Estonia. From 1992 to 1995, she was the minister responsible for the implementation of ownership reforms.

Liia speaks Estonian, English and Russian.