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He obtained his PhD in 1979 under the supervision of Frank Bardsley Knight at the University of Illinois at Urbana–Champaign with a dissertation titled 'A Nonstandard Approach to Brownian Local Time'.
References
PERKINS, Prof. Edwin Arend, Who's Who 2011, A & C Black, 2011; online edn, Oxford University Press, Dec 2010; online edn, Oct 2010 accessed 5 Aug 2011