Alex James Wilkie - Selected publications#
Integer-valued definable functions (with G Jones and M Thomas), Bull. Lond. Math. Soc. 2012.
A Schanuel property for exponentially transcendental powers (with M. Bays and J. Kirby), Bull. Lond. Math. Soc., 2010.
Locally polynomially bounded structures (with G Jones), Bull Lond. Math. Soc., 2008.
Some local definability theory for holomorphic functions, in 'Model Theory with Applications to Algebra and Analysis' (LMS Lecture note Series), 2008.
The rational points of a definable set (with J Pila), Duke Mathematical Journal, 2006.
Diophantine properties of sets definable in o-minimal structures, J Symb. Logic, 2004.
Quasianalytic Denjoy-Carleman classes (with J-P Rolin and P Speissegger), J Amer. Math. Soc., 2003
A theorem of the complement and some new o-minimal structures, Selecta Math., 1999.
On the decidability of the real exponential field (with A Macintyre), in 'Kreiseliana: about and around Georg Kreisel', 1996
Model completeness results for the real field expanded by restricted Pfaffian functions and the exponential function, J Amer. Math. Soc., 1996