Burov competed at the 2014 Winter Olympics for Russia. He placed 10th in the first qualifying round in the aerials, failing to advance. He subsequently placed 10th in the second qualification round, again failing to advance. Burov completed at the 2018 Winter Olympics representing Olympic Athletes from Russia. He placed 8th in the first qualifying round in the aerials, failing to advance. He subsequently placed 1st in the second qualification round and advanced into finals. Next day he placed 6th at both final round 1 and Round 2, and placed 3rd in final round 3 winning the bronze medal.