Complex sentence: Following completion of a Ph.D at Illinois under the supervision of Gaisi Takeuti, he took up a position in mathematics department of the University of Bristol in 1966 where he remained until his retirement as a Reader in Mathematics in 2004.
Split into simpler sentences: Following completion of a Ph.D at Illinois under the supervision of Gaisi Takeuti, he took up a position in the mathematics department of the University of Bristol in 1966. He remained at Bristol until his retirement as a Reader in Mathematics in 2004.