Sergey's father was Mikhail Israilevich Brin and is a math prof in Maryland.
His grandfather is Israil Abramovich Brin of Moscow also a math/physics prof.
You see the thing that looks like a middlename is actually a patronymic. So the great grandad is Abram. I found something interesting which may or may not be connected to the family. Israil was born in 1919.
In 1938 a guy named Grigoriy Abramovich Brin was shot in Saratov as an agitator and a spy. He was later found innocent. Welcome to the Soviet justice system. In any case this could possibly have been an older brother, however since he came from Chernigiv in the Ukrainian Soviet Socialist Republic, who knows. Need more digging.