Michael Vaughan-Lee

Michael Rogers Vaughan-Lee^[1] is a mathematician and retired academic. He was Professor of Mathematics at the University of Oxford from 1996 to 2010 and a tutor at Christ Church, Oxford, between 1971 and 2010.

Career

Vaughan-Lee completed his Doctor of Philosophy (DPhil) degree at the University of Oxford in 1968 and then taught at Vanderbilt University for two years as an assistant professor.^[2] In 1970, he was appointed to a lectureship at the University of Queensland, but resigned the following year^[2][3] and returned to the United Kingdom to become a tutor in mathematics at Christ Church, Oxford, where he remained until he retired in 2010.^[2] In 1996, he was awarded the title of Professor of Mathematics by the University of Oxford;^[4] since retirement in 2010, he has been an emeritus professor.^[5]

Research

Vaughan-Lee specialises in group theory, especially the restricted Burnside problem. He has also made contributions relating to Engel Lie algebras, computational algebra, and other areas.^[6]

Selected publications

• "Lie rings of groups of prime exponent", Journal of the Australian Mathematical Society, vol. 49 (1990), pp. 386–398.
• The Restricted Burnside Problem (Oxford University Press, 1st ed., 1990; 2nd ed., 1993).
• (with E. I. Zel'manov) "Upper bounds in the restricted Burnside problem", Journal of Algebra, vol. 162 (1993), pp. 107–145.
• "An algorithm for computing graded algebras", Journal of Symbolic Computation, vol. 16 (1993), pp. 345–354.
• "The nilpotency class of finite groups of exponent p", Transactions of the American Mathematical Society, vol. 346 (1994), pp. 617–640.
• (with E. I. Zel'manov) "Upper bounds in the restricted Burnside problem II", International Journal of Algebra and Computation, vol. 6 (1996), pp. 735–744.
• "Engel-4 groups of exponent 5", Proceedings of the London Mathematical Society, vol. 74 (1997), pp. 306–334.
• "Superalgebras and dimensions of algebras", International Journal of Algebra and Computation, vol. 8 (1998), pp. 97–125.
• (with M. F. Newman) "Engel-4 groups of exponent 5. II. Orders", Proceedings of the London Mathematical Society, vol. 79 (1999), pp. 283–317.
• (with E. I. Zel'manov) "Bounds in the restricted Burnside problem", Journal of the Australian Mathematical Society, vol. 67 (1999), pp. 261–271.
• (with Daniel Groves) "Finite groups of bounded exponent", Bulletin of the London Mathematical Society, vol. 35 (2003), pp. 37–40.
• "Simple Lie Algebras of Low Dimension Over GF (2)", LMS Journal of Computation and Mathematics, vol. 9 (2006), pp. pp. 174–192.
• "On 4-Engel Groups", LMS Journal of Computation and Mathematics, vol. 10 (2007), pp. 341–353.