After successfully defending his thesis, Tikhonov was appointed as a professor at Moscow University in 1936 and then, three years later, he was elected as a Corresponding Member of the USSR Academy of Sciences .
Pagkatapos ng matagumpay na pagtatanggol sa kanyang sanaysay, Tikhonov ay hinirang bilang isang propesor sa University Moscow in 1936 at pagkatapos, tatlong taon mamaya, siya ay elected bilang isang corresponding Miyembro ng USSR Academy of Sciences.