[1] Piranian was internationally known for his research in complex analysis, his association with Paul Erdős, and his editing of the Michigan Mathematical Journal.

George and his brother David at home were called Gevorg and Davit, the Armenian versions of their names.

After returning to the United States, Piranian earned his Ph.D. in mathematics under Szolem Mandelbrojt at Rice University (1943).

Piranian's dissertation was entitled A Study of the Position and Nature of the Singularities of Functions Given by Their Taylor Series.

[8][9] Piranian also was an advisor with the Honors Program at the College of Literature, Science and the Arts at the University of Michigan.