Jonathan Pila | |
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 Jonathan Pila in 2015, portrait from theRoyal Society | |
| Born | Jonathan Solomon Pila (1962-07-28)28 July 1962 (age 63)[3] |
| Alma mater | |
| Awards |
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| Scientific career | |
| Institutions | University of Oxford |
| Thesis | Frobenius maps of Abelian varieties and finding roots of unity in finite fields (1988) |
| Doctoral advisor | Peter Sarnak[2] |
| Website | www |
Jonathan Solomon Pila (born 1962)[3]FRS[1] is an Australianmathematician at theUniversity of OxfordUniversity of Melbourne in 1984. He was awarded aPhD fromStanford University in 1988, for research supervised byPeter Sarnak.[2] 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.[4]
Research interests lie innumber theory andmodel theory. A focus has been applying thetheory of o-minimality toDiophantine problems. This work began with an early paper withEnrico Bombieri, and developed through collaborations withAlex Wilkie andUmberto Zannier. The techniques obtained have led to advances in Diophantine problems, including Pila's unconditional proof of theAndré–Oort conjecture for powers of the modular curve.[1] Work by Pila andJacob Tsimerman, demonstrated the André–Oort conjecture in the case of theSiegel modular variety.[5]
Pila has held posts atColumbia University,McGill University, theUniversity of Bristol and (as a visiting member) theInstitute for Advanced Study. Pila also took a substantial break from professional mathematics to work in his family's manufacturing business.[1]
Pila has been the Editor of Proceedings of theEdinburgh Mathematical Society, and ofAlgebra and Number Theory.[4]
Pila was awarded a Clay Research Award for his work on the Andre-Oort conjecture in 2011[6]. In June 2011, he was awarded theSenior Whitehead Prize by theLondon Mathematical Society.[7] This prize is "awarded in recognition of work in and influence on and service to mathematics; or lecturing gifts."[7] Specifically, the citation recognized "his startling recent work on the Andre-Oort andManin-Mumford conjectures. The approach he and his collaborators have developed, which combines analytic ideas withmodel theory, is entirely new and shows great promise for further applications."[7]
In addition to the Clay and London Mathematical Society awards, Pila delivered theArf Lecture in 2011, was awarded the Leverhulme Trust Research Fellowship 2008–2010.[4] and received theKarp Prize in 2013.[8] Pila was elected aFellow of the Royal Society (FRS) in 2015.[1] In 2022, he received theRolf Schock Prize in the category of "Mathematics".[9]
“All text published under the heading 'Biography' on Fellow profile pages is available underCreative Commons Attribution 4.0 International License.” --"Royal Society Terms, conditions and policies". Archived from the original on 25 September 2015. Retrieved9 March 2016.
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