From 1992 to 2016, he was in charge of the Department of Quantum Statistics and Field Theory of the Physics Faculty of Moscow State University.
He developed asymptotic methods that are widely applied to equations arising in quantum mechanics, field theory, statistical physics and abstract mathematics, that bear his name.
In 1983, he attended the International Congress of Mathematicians in Warsaw, where he presented a plenary report "Non-standard characteristics of asymptotic problems".
In the mid-1980s, Maslov introduced the term tropical mathematics, in which the operations of the conditional optimization problem were considered.
The romance was considered scandalous because Vietnamese students studying abroad were not allowed to have romantic relationships with foreigners and anyone caught would have to be disciplined and may be sent back to Vietnam.
In order to avoid trouble, she returned home to marry a Vietnamese student from the same university and wanted to stay in Vietnam to forget her love affair with Maslov.
Meeting her father by chance when he went to USSR for a state visit, Anh confessed all her love affairs.
An official from the Vietnamese Communist Party's Central Committee took over the communication between Maslov and Anh's family.
Both sides proposed a compromise solution, Maslov kept his daughters and son would be returned to Lê Duẩn.
Maslov had to fight for two more years before Lê Duẩn accepted to bring his grandson to meet his father.
According to Maslov, Lê Duẩn did not intend to return the child, but also hoped to bring back his daughters.
After a massive legal struggle, Lê Duẩn gave up the idea of taking him and his children back.