Muraru was born in Iași and grew up in the city's Tătărași [ro] neighborhood.

[1] He graduated from the history faculty of Alexandru Ioan Cuza University in Iași in 2005.

He earned a master’s degree from the same institution in 2007, and a doctorate in 2011, with a thesis on the war crimes trials for Transnistria Governorate.

He began teaching at Bucharest’s National University of Political Studies and Public Administration in 2018.

He has been an adviser to Klaus Iohannis since summer 2014, several months before the latter became President of Romania.