Naumov was born in Leningrad. After graduating from the Leningrad Ulyanov (Lenin) Electrotechnical Institute (now the St Petersburg State Electrotechnical University) in 1982, he worked at the Ioffe Physical-Technical Institute.
Since 1993 he has worked at the Mariinsky Theatre and since 1997 he has worked as a lighting designer. As a lighting designer at the Mariinsky Theatre, he has worked on the productions of such ballets as Études (2003), Ondine (2006), Carnaval (2008), Shurale (2009), Spartacus (2010), Flight of Angels (2010), Diana Vishneva's project Beauty in Motion (2009) and Labyrinth as part of the Dialogues project (2011). Naumov also took part in the production of the opera Madama Butterfly as Assistant Lighting Designer (2005). He was nominated for a Golden Mask Award (Best Lighting Design in Musical Theatre) for his work on Salome (2017).
As a lighting designer, in 2010 he took part in a production of the opera Intizar at the Geidar Aliev Palace in Baku, in 2014 he worked on the ballet Le Corsaire at the Samara Opera and Ballet Theatre and as an assistant lighting designer to Eldar Aliev he worked on the ballet The Nutcracker at the Primorsky Opera and Ballet Theatre. In 2017 he took part in the premiere production of The Sleeping Beauty ballet at the Primorsky Stage of the Mariinsky Theatre in Vladivostok. As a lighting designer, he worked on the ballet La Fille mal gardée at the Yekaterinburg Opera and Ballet Theatre in 2015, while in 2018 he helped stage the ballet Paquita.
In 2003 and 2010 he was Lighting Designer for the international project Ballettissimo, los virtuosos del mundo in Mexico and in 2008 in Guadalajara, also in Mexico.
Since 2009 he has been Lighting Designer for the DANCE OPEN international ballet festival, which runs on an annual basis in St Petersburg.