Jonathan Pila
| Jonathan Pila | |
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Jonathan Pila in 2015, portrait from the Royal Society
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| Born | Jonathan Solomon Pila July 28, 1962 Melbourne, Australia |
| Institutions | University of Oxford |
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| Thesis | Frobenius maps of Abelian varieties and finding roots of unity in finite fields (1988) |
| Doctoral advisor | Peter Sarnak |
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Website www |
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Jonathan Solomon Pila (born 1962)FRS is an Australian mathematician at the University of Oxford.
Pila earned his bachelor's degree at the University of Melbourne in 1984. He was awarded a PhD from Stanford University in 1988, for research supervised by Peter Sarnak. His dissertation was entitled "Frobenius Maps of Abelian Varieties and Finding Roots of Unity in Finite Fields". In 2010 he received an MA from Oxford.
Pila's research interests lie in number theory and model theory. A focus has been applying the theory of o-minimality to Diophantine problems. This work began with an early paper with Enrico Bombieri, and developed through collaborations with Alex Wilkie and Umberto Zaniier. The techniques obtained have led to advances in Diophantine problems, including Pila's unconditional proof of the André–Oort conjecture for powers of the modular curve.
Pila has held posts at Columbia University, McGill University, the University of Bristol and (as a visiting member) the Institute for Advanced Study. Pila also took a substantial break from professional mathematics to work in his family’s manufacturing business.
Pila has been the Editor of Proceedings of the Edinburgh Mathematical Society, and of Algebra and Number Theory.
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