Complex sentence: Peter Landrock obtained in diploma in mathematics and physics in 1972 by the University of Aarhus and his Ph.D. in mathematics by the University of Chicago in 1974 for his research on elementary abelian and dihedral defect groups, under George Isaac Glauberman and Richard Dagobert Brauer.
Split into simpler sentences: Peter Landrock obtained in diploma in mathematics and physics in 1972 by the University of Aarhus. He received his Ph.D. in mathematics by the University of Chicago in 1974 for his research on elementary abelian and dihedral defect groups, under George Isaac Glauberman and Richard Dagobert Brauer.