[1] Brieskorn was born in 1936 as the son of a mill construction engineer in East Prussia.
He grew up in Freudenberg (Siegerland) and studied mathematics and physics at the Ludwig-Maximilians-Universität München and the Rheinische Friedrich-Wilhelms-Universität Bonn.
In 1963 he received his doctorate at Bonn under Friedrich Hirzebruch with thesis Zur differentialtopologischen und analytischen Klassifizierung gewisser algebraischer Mannigfaltigkeiten,[2] followed by his habilitation in 1968.
In 1970 he was an invited speaker at the International Congress of Mathematicians in Nice (Singular elements of semi-simple algebraic groups).
His doctoral students include Horst Knörrer, Peter Slodowy, Kyoji Saito, and Erhard Scholz.