He won a silver medal at the 2013 World Junior Curling Championships, playing third for Evgeny Arkhipov.

He led his team of Artur Ali, Dmitry Mironov, and Timur Gadzhikhanov to a 7th-place finish with a 4-5 record.

Glukhov just missed out on a chance to represent Russia at the 2014 Winter Olympics but joined the Russian men's team at the 2014 World Men's Curling Championship at the last minute when the normal skip of the team, Andrey Drozdov, could not play.

The following season, Glukhov began skipping his own rink with Artur Ali, Dmitry Mironov, and Anton Kalalb.

He led Russia to a 4-8 record at the 2019 World Men's Curling Championship, good enough for 9th place again.