Alex Wilkie
Alex Wilkie  

Alex Wilkie FRS, pictured in 2007


Born 
Alex James Wilkie 1948 (age 69–70) Northampton, England 
Residence  United Kingdom 
Nationality  British 
Alma mater 
University College London Bedford College, University of London 
Known for  Wilkie's theorem 
Awards  Karp Prize (1993) Fellow of the Royal Society (2001) 
Scientific career  
Fields  Mathematics, Model theory 
Institutions  Manchester University 
Doctoral advisor  Wilfrid Hodges 
Alex James Wilkie FRS (born 1948 in Northampton^{[1]}) is a British mathematician known for his contributions to Model theory and logic. Previously Reader in Mathematical Logic at the University of Oxford, he was appointed to the Fielden Chair of Pure Mathematics at the University of Manchester in 2007.^{[2]}^{[3]}^{[4]}^{[5]}
Education
Alex Wilkie attended Aylesbury Grammar School and went on to gain his BSc in mathematics with first class honours from University College London in 1969, his MSc (in mathematical logic) from the University of London in 1970, and his PhD from the Bedford College, University of London in 1973 under the supervision of Wilfrid Hodges with a dissertation titled Models of Number Theory.
Career and research
After his PhD he went on to an appointment as a lecturer in mathematics at Leicester University from 1972 to 1973, then a research fellow at the Open University from 1973 until 1978. He spent two periods as a junior lecturer in mathematics at Oxford University (1978–80 and 19812) with (19801) as a visiting assistant professor at Yale University. In 1980 Wilkie solved Tarski's high school algebra problem.
In October 1982 Wilkie was appointed as a research fellow in the department of mathematics at the University of Paris VII, then returned to England the following year to take up a threeyear SERC (now EPSRC) advanced research fellowship at the University of Manchester. After two years he was appointed lecturer in the Department of Mathematics. In 1986 he went on to Oxford where he was appointed to the readership in mathematical logic there which had become vacant upon the retirement of Robin Gandy. He remained in this post until appointment to the Fielden Chair at Manchester.
Awards and honours
Wilkie was elected a Fellow of the Royal Society in 2001. To quote the citation
 Wilkie has combined logical techniques and differentialgeometric techniques to establish fundamental Finiteness Theorems for sets definable using the exponential function, and more general Pfaffian functions. The results, going far beyond those obtained by conventional methods, have already had striking applications to Lie groups.^{[6]}
Wilkie received the Carol Karp Prize (the highest award made by the Association for Symbolic Logic, every five years) jointly with Ehud Hrushovski in 1993.^{[7]}^{[8]} He was elected to the Council of the London Mathematical Society in 2007, vicepresident of the Association for Symbolic Logic (2006) and president of the Association for Symbolic Logic in 2009. In 2012 he became a fellow of the American Mathematical Society.^{[9]} He received the Karp Prize again in 2013, jointly with Moti Gitik, Ya'acov Peterzil, Jonathan Pila, and Sergei Starchenko.^{[8]}
References
 ^ Wilkie, Alex James, Who's Who in Education,Inglewood Books, 2003
 ^ Research profile of Alex Wilkie at Manchester
 ^ Home page of Alex Wilkie at Manchester
 ^ Alex Wilkie at the Mathematics Genealogy Project
 ^ List of publications from Microsoft Academic
 ^ NOTICES, Bulletin of Symbolic Logic, Vol 7, No 3, p436, 2001
 ^ NOTICES Carol Karp Prize, J. Symbolic logic, Volume 58, Number 2, June 1993
 ^ ^{a} ^{b} "Karp Prize Recipients". Association for Symbolic Logic. Retrieved 10 May 2018.
 ^ List of Fellows of the American Mathematical Society, retrieved 20130901.
Preceded by Mark Pollicott 
Fielden Chair of Pure Mathematics 2007 
Succeeded by Current Holder 
 1948 births
 Living people
 People from Northampton
 People educated at Aylesbury Grammar School
 Alumni of University College London
 Alumni of Bedford College (London)
 20thcentury English mathematicians
 21stcentury English mathematicians
 Model theorists
 Academics of the University of Oxford
 Academics of the University of Manchester
 Yale University faculty
 Fellows of Wolfson College, Oxford
 Fellows of the Royal Society
 Fellows of the American Mathematical Society
 Tarski lecturers