Kammala jumla mai zuwa: An haifi Chiuariu a Botoşani ga Carmen, malamin makaranta, da Alexandru, masanin tattalin arziki, kuma yana da ɗan'uwa babba. Iyalin sun koma Suceava lokacin da Tudor ke da shekaru hudu; mahaifinsa ya mutu shekaru uku bayan haka. Iyayen mahaifiyarsa sun koyar a Cernăuţi har zuwa 1940, lokacin da yankin ya kasance
Sojojin Soviet sun mamaye yankin kuma sun gudu zuwa kusa da Rădăuţi<unk>a baya Chiuariu ya ba da dalili a matsayin dalili na matakan da ya ɗauka yayin da Ministan Shari'a don sauƙaƙe hanyoyin ga membobin 'yan gudun hijirar Romania don dawo da' yan ƙasa. Mahaifinsa daga Grămeşti, Suceava County, an haife shi a cikin dangin ƙananan masu mallakar ƙasa ("răzeşi"). Daga 1995 zuwa 1999, Chiuariu ya halarci Kwalejin Koyon Koyon Shari'a na Jami'ar Iaşi.