Angus Macintyre

He was elected a Fellow of the Royal Society in 1993. In 2003, he was awarded the Pólya Prize by the London Mathematical Society. From 2009 to 2011, he was President of the London Mathematical Society (LMS).

From 1973 to 1985, he was Professor of Mathematics at Yale University. From 1985 to 1999, he was Professor of Mathematical Logic at Merton College at the University of Oxford. In 1999, Macintyre moved to the University of Edinburgh, where he was Professor of Mathematics until 2002, when he moved to Queen Mary College, University of London. Macintyre was the first Scientific Director of the International Centre for Mathematical Sciences (ICMS) in Edinburgh.

Macintyre is known for many important results. These include classification of aleph-one categorical theories of groups and fields in 1971, which was very influential in the development of geometric stability theory. In 1976, he proved a result on quantifier elimination for p-adic fields from which a theory of semi-algebraic and subanalytic geometry for p-adic fields follows (in analogy with that for the real field) as shown by Jan Denef and Lou van den Dries and others. This quantifier elimination theorem was used by Jan Denef in 1984 to prove a conjecture of Jean-Pierre Serre on rationality of various p-adic Poincaré series, and subsequently these methods have been applied to prove rationality of a wide range of generating functions in group theory (e.g. subgroup growth) and number theory by various authors, notably Dan Segal and Marcus du Sautoy. Macintyre worked with Zoé Chatzidakis and Lou van den Dries on definable sets over finite fields generalising the estimates of Serge Lang and André Weil to definable sets an revisiting the work of James Ax on the logic of finite and pseudofinite fields. He initiated and proved results on the model theory of difference fields and of Frobenius automorphisms, where he proved extensions of Ax's work to this setting (including model-companions and decidability). Independently Ehud Hrushovski has proved model-theoretic results on Frobenius automorphisms. Macintyre developed a first-order model theory for intersection theory and showed connections to Alexander Grothendieck's standard conjectures on algebraic cycles.

After undergraduate study at the University of Cambridge, he completed his PhD at Stanford University under the supervision of Dana Scott in 1968.

Angus John Macintyre FRS, FRSE (born 1941) is a British mathematician and logician who is a leading figure in model theory, logic, and their applications in algebra, algebraic geometry, and number theory. He is Emeritus Professor of Mathematics, at Queen Mary University of London.