In 1919 and 1920 Kostrov studied
philology at the Kazan University. In 1921 he returned to Viatka where
het studied art and met Evgenii Charushing who advised him to study at
the Leningrad art school. In Leningrad he worked with Mikhail Matiushin
and his group of artists of whom he wrote his memoirs: M. Matiushin and
his disciples.