Dr Jonathan Pila
Dr Jonathan PilaBScHons (Melbourne, 1984), PhD (Stanford, 1988), MA (Oxford, 2010)
eMail:
Jonathan [dot] Pila [-at-] maths [dot] ox [dot] ac [dot] uk
Reception/Secretary: +44 1865 273525 Office: SGS1 Departmental Address:
Mathematical Institute |
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 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, 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 |
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