Dr Jonathan Pila
Dr Jonathan PilaBScHons (Melbourne, 1984), PhD (Stanford, 1988), MA (Oxford, 2010)
Jonathan [dot] Pila [-at-] maths [dot] ox [dot] ac [dot] uk
Reception/Secretary: +44 1865 273525
Office: SGS1Departmental Address:
Model theory and number theory.
Research page here.
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
Tarski Lectures, Berkeley, 2013
Ritt Lectures, Columbia, Spring 2013
(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.
O-minimality and the Andre-Oort conjecture for C^n, Annals Math. 173 (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, Compositio Math. 149 (2013), 204-216, and arXiv here.
Modular Ax-Lindemann-Weierstrass with derivatives, to appear in Notre Dame J. Formal Logic, Oleron volume, preprint here.
(with J. Tsimerman) Ax-Lindemann for A_g, arXiv preprint here.
Special point problems with elliptic modular surfaces, preprint here.
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