Robert Charles Vaughan

Vaughan in Oberwolfach 2008

Robert Charles Vaughan , often quoted by RC Vaughan , called Bob Vaughan , (born March 24, 1945 ) is a British mathematician who deals with analytical number theory.

Vaughan attended University College London from 1963 to 1969 , where he did his doctorate under Theodor Estermann on the subject of On the Representation of Numbers as Sums of Squares, Cubes and Fourth Powers and as Sums of Powers of Primes in 1970 . He was a postdoc at the University of Nottingham and the University of Sheffield . In 1972 he became a lecturer and in 1976 a reader at Imperial College London, and from 1980 to 1997 professor. In 1974/75 and 1997/98 he was visiting professor at the University of Michigan at Ann Arbor . In 1990 he received the D. Sc. from the University of London . From 1988 to 1990 he was chairman of the pure mathematics department at Imperial College. Vaughan has been Professor at Pennsylvania State University since 1999 . He was visiting scholar and visiting professor at the Mittag-Leffler Institute in Stockholm (1977), at Cambridge University (1997 at the Isaac Newton Institute and 2005 as visiting professor), in 2008 at the University of York and at the Institute for Advanced Study (1990 / 91).

Vaughan dealt among other things with the Goldbach conjecture , the Hardy-Littlewood circle method , exponential sums, the Waring problem (partly with his PhD student Trevor Wooley ), the properties of the Riemann zeta function , Dirichlet L functions and even numbers .

In 1979 Vaughan received the Berwick Prize . In 1978 he was an Invited Lecturer at the ICM in Helsinki (Recent progress in additive prime number theory). In 1990 he became a Fellow of the Royal Society . He is a member of the London Mathematical Society and a Fellow of the American Mathematical Society .

Fonts

• The Hardy-Littlewood Method. 2nd Edition. Cambridge University Press, Cambridge 1997, ISBN 0-521-57347-5 ( Cambridge Tracts in Mathematics. Vol. 125).
• with Hugh Montgomery : Multiplicative Number Theory. Vol. 1. Classical Theory. Cambridge University Press, Cambridge 2007, ISBN 978-0-521-84903-6 ( Cambridge studies in advanced mathematics. Vol. 97).
• with Trevor D. Wooley: Waring's Problem. A survey. In: M. Bennett, Berndt u. a. Surveys in Number Theory. Papers from the Millennial Conference on Number Theory. AK Peters, Natick, Massachusetts 2002, ISBN 1-56881-162-4 .

Web links

• Homepage at Pennsylvania State University

Individual evidence

1. ↑ Robert Charles Vaughan in the Mathematics Genealogy Project (English)