 He became the head of the department of theoretical and applied linguistics of the Philological Faculty of the Moscow State University in 1992.He worked in the fields of linguistic typology, Northeast Caucasian languages and theoretical linguistics.Kibrik was especially well known for his longtime fieldwork and field teaching, as well as grammar-editing, on the languages of the Caucasus including the Archi, the Khinalug, the Godoberi, the Tsakhur, the Bagvalal, the Russian and Alutor languages.