Dr Jonathan Pila

Dr Jonathan Pila

Dr Jonathan Pila

BScHons (Melbourne, 1984), PhD (Stanford, 1988), MA (Oxford, 2010)

  • Reader in Mathematical Logic

eMail: Jonathan [dot] Pila [-at-] maths [dot] ox [dot] ac [dot] uk
Contact Form

Phone Number(s):

Reception/Secretary: +44 1865 273525
Direct: +44 1865 273527

Office: SGS1

Departmental Address:

Mathematical Institute
24-29 St Giles'
Oxford
OX1 3LB
England

Research Interests: 

Model theory and number theory.

Prizes, Awards and Scholarships: 

Leverhulme Trust Research Fellowship 2008-2010

Clay Research Award 2011

London Mathematical Society Senior Whitehead Prize 2011

Cahit Arf Lecture 2011

Major/Recent Publications: 

(with E. Bombieri) The number of integral points on arcs and ovals, Duke Math. J. 59 (1989) 337–357. Copyright 1989, Duke University Press. Preprint version reprinted here by permission of the publisher.

(with A. J. Wilkie) The rational points of a definable set, Duke Math. J. 133 (2006) 591-616, published by Duke University Press. Preprint version reprinted here by permission of the publisher.

(with U. Zannier) Rational points in periodic analytic sets and the Manin-Mumford conjecture, Rend. Mat. Acc. Lincei 19 (2008) 149–162. Preprint version reprinted here by permission of the publisher.

Rational points of definable sets and results of Andre-Oort--Manin-Mumford type, IMRN 2009 (2009), 2476-2507, available here.

O-minimality and the Andre-Oort conjecture for C^n, Annals Math173 (2011), 1779-1840. Preprint version here.

(with P. Habegger) Some unlikely intersections beyond Andre-Oort, Compositio Math. 148 (2012), 1-27. Preprint version here.

(with J. Tsimerman) The Andre-Oort conjecture for the moduli space of Abelian surfaces, preprint posted on the arXiv here.

Modular Ax-Lindemann-Weierstrass with derivatives, to appear in Notre Dame J. Formal Logic, Anand Pillay volume, preprint here.

Further Details: 

Editor, Proceedings of the Edinburgh Mathematical Society

Editor, Algebra and Number Theory

Editor, International Journal of Number Theory