In 2014 he competed in the 41st Chess Olympiad held in Tromsø, scoring 4½7 points. In September 2015 he took part in the Chess World Cup 2015, where he was eliminated in the second round by Dmitry Andreikin, after knocking out Dragan Šolak in round one. In the following month, Korobov won the 16th Karpov International Tournament, a round-robin tournament, in Poikovsky, Russia on tiebreak over Victor Bologan, after they both finished on 6/9 points. In August 2016, Korobov won the Karpov Tournament in Pokovsky one more time, scoring 6/9. The next month, he played on the silver medal-winning Ukrainian team at the 42nd Chess Olympiad in Baku. In 2018, he won an individual gold medal at the 43rd Chess Olympiad as the best player on the reserve board.