He is best known for his plays "Border", "Republic", and the novel "Springfield", which has been named one of the most important texts in recent years in the Russian language.

[3] In 2012, Davydov's debut play "Lev Tolstoy, 49" was shortlisted for the International Playwrights' Contest "Eurasia".

In 2016, he collaborated with Andrey Stadnikov on the "Transsib" project at Dmitry Brusnikin's workshop at the Moscow Art Theatre School.

In 2021, the play "Republic" was recognized by the expert council of the national award "Golden Mask" as one of the main theatrical events of the season.

More than 30 of Davydov's plays have been performed on stages in Moscow, Saint Petersburg, London, San Francisco, Tbilisi, Belgrade, Berlin, Los Angeles, and other cites.

[6] Davydov's works have been translated into English, German, Japanese, Italian, and other languages.