hiː kəmplˈiːɾᵻd ɐ pˌiːˈeɪtʃ dˈiː æt ðə jˌuːnɪvˈɜːsᵻɾi ʌv ʃᵻkˈɑːɡoʊ ɪn nˈaɪntiːnhˈʌndɹɪd θˈɜːɾi ˌʌndɚ ðə suːpɚvˈɪʒən ˈɛl.ˈiː. dˈɪksən wɪð ɐ θˈiːsɪs tˈaɪɾəld mˈɪnɪmə ʌv ɪndˈɛfɪnət kwɑːdɹˈæɾɪk kwətˈɜːnɚɹi fˈɔːɹmz", pˈʌblɪʃt ɪnðə nˈaɪntiːnhˈʌndɹɪd twˈɛnti pɹəsˈiːdɪŋz ʌv nˈæʃənəl ɐkˈædəmiz ʌv sˈaɪənsᵻz.
He completed a PhD at the University of Chicago in 1930 under the supervision L.E. Dickson with a thesis titled ''Minima of Indefinite Quadratic Quaternary Forms", published in the 1920 Proceedings of National Academies of Sciences.