Complex sentence: In 1908 Pell resigned from the University of South Dakota and went with Anna to Chicago, there Anna completed her doctorate under E. H. Moore, while Pell took a position at the "Armour Institute of Engineering" (currently Illinois Institute of Technology).
Split into simpler sentences: In 1908 Pell resigned from the University of South Dakota and went with Anna to Chicago. There Anna completed her doctorate under E. H. Moore, while Pell took a position at the "Armour Institute of Engineering" (currently Illinois Institute of Technology).