At the age of 15, Dobrov entered the Department of Chess of the Russian State University of Physical Education, Sport, Youth and Tourism (1999-2009).

[2] He studied in the Department of Chess at the same time as Alexander Grischuk, Vladimir Potkin, and Alexandra Kostenyuk under the leadership of Evgeny Pavlovich Linovitsky.

He was Russian Chess Champion U-20 and in 2007 tied for 3rd–9th with Dmitry Svetushkin, Vladimir Malakhov, Murtas Kazhgaleyev, Pavel Smirnov, Evgeny Vorobiov and Aleksej Aleksandrov in the 3rd Moscow Open tournament.

Dobrov was Blitz Champion of France (2015), after prevailing in a first place tie break with French Grandmasters Vladislav Tkachiev and Christian Bauer.

Dobrov is currently one of the coaches of the National Chess Team of Russia.