Jonathan Pila grandinha | |
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Born | Jonathan Solomon Pila 28 July 1962 [1] |
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) [1] FRS [3] is an Australian mathematician at the University of Oxford University of Melbourne in 1984. He was awarded a PhD from Stanford University in 1988, for research supervised by Peter 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]
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Pila was awarded the Clay Research Award in 2011 for his resolution of the André–Oort conjecture in the case of products of modular curves. [4] [5] In June 2011, he was awarded the Senior Whitehead Prize by the London Mathematical Society. [6] This prize is "awarded in recognition of work in and influence on and service to mathematics; or lecturing gifts." [6] Specifically, the citation recognized "his startling recent work on the Andre-Oort and Manin-Mumford conjectures. The approach he and his collaborators have developed, which combines analytic ideas with model theory, is entirely new and shows great promise for further applications." [6]
In addition to the Clay and London Mathematical Society awards, Pila delivered the Arf Lecture in 2011, was awarded the Leverhulme Trust Research Fellowship 2008–2010. [4] and received the Karp Prize in 2013. [7] Pila was elected a Fellow of the Royal Society (FRS) in 2015. [3] In 2022 he received the Rolf Schock Prize in the category of "Mathematics". [8]
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In mathematics, the André–Oort conjecture is a problem in Diophantine geometry, a branch of number theory, that can be seen as a non-abelian analogue of the Manin–Mumford conjecture, which is now a theorem. The conjecture concerns itself with a characterization of the Zariski closure of sets of special points in Shimura varieties. A special case of the conjecture was stated by Yves André in 1989 and a more general statement was conjectured by Frans Oort in 1995. The modern version is a natural generalization of these two conjectures.
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