Jonathan Pila

Q: What Schools Are Affiliated With Jonathan Pila

Jonathan Pila is affiliated with the following schools: University of Bristol, University of Oxford, University of Melbourne, Stanford University

Jonathan Pila's AcademicInfluence.com Rankings

Jonathan Pila

Mathematics

#974

World Rank

#1685

Historical Rank

Measure Theory

#4320

World Rank

#5086

Historical Rank

mathematics Degrees

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Mathematics

Why Is Jonathan Pila Influential?

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According to Wikipedia, Jonathan Solomon Pila FRS is an Australian mathematician at the University of Oxford. Education 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.

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Jonathan Pila's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The number of integral points on arcs and ovals (1989) (304)
The rational points of a definable set (2006) (223)
Frobenius maps of Abelian varieties and finding roots of unity in finite fields (1990) (196)
Rational points in periodic analytic sets and the Manin-Mumford conjecture (2008) (148)
O-minimality and the André-Oort conjecture for $\mathbb{C}^{n}$ (2011) (128)
O-minimality and certain atypical intersections (2014) (73)
A hyperelliptic smoothness test. I (1993) (66)
Integer points on the dilation of a subanalytic surface (2004) (62)
The André–Oort conjecture for the moduli space of abelian surfaces (2011) (61)
Density of integral and rational points on varieties (1995) (60)
On the algebraic points of a definable set (2009) (57)
Some unlikely intersections beyond André–Oort (2011) (57)
Ax–Schanuel for the $j$-function (2014) (50)
Ax-Lindemann for Ag (2014) (46)
Ax-Schanuel for Shimura varieties (2017) (44)
Geometric postulation of a smooth function and the number of rational points (1991) (40)
Ax-Lindemann for \mathcal{A}_g (2012) (35)
Rational Points of Definable Sets and Results of André–Oort–Manin–Mumford type (2009) (34)
Counting rational points on a certain exponential-algebraic surface (2010) (34)
Modular Ax-Lindemann-Weierstrass with Derivatives (2013) (28)
Rational points on a subanalytic surface (2005) (27)
The density of rational points on a pfaff curve (2007) (27)
A Hyperelliptic Smoothness Test, II (2002) (25)
Detecting perfect powers by factoring into coprimes (2007) (22)
Density of integer points on plane algebraic curves (1996) (22)
Uniform parameterization of subanalytic sets and diophantine applications (2016) (19)
Counting points on curves over families in polynomial time (2005) (15)
Rational points on Grassmannians and unlikely intersections in tori (2015) (14)
SPECIAL POINT PROBLEMS WITH ELLIPTIC MODULAR SURFACES (2014) (14)
Canonical Heights on Shimura Varieties and the Andr\'e-Oort Conjecture (2021) (12)
O-Minimality and Diophantine Geometry: Functional transcendence via o-minimality (2015) (12)
Concordant sequences and integral-valued entire functions (1999) (8)
On a modular Fermat equation (2015) (6)
NOTE ON THE RATIONAL POINTS OF A PFAFF CURVE (2005) (6)
Independence of CM points in elliptic curves (2019) (6)
Multiplicative relations among singular moduli (2014) (6)
Effective transcendental Zilber-Pink for variations of Hodge structures (2021) (6)
Geometric and arithmetic postulation of the exponential function (1993) (5)
Entire functions having a concordant value sequence (2003) (4)
Note on Carlson's Theorem (2005) (4)
ENTIRE FUNCTIONS SHARING ARGUMENTS OF INTEGRALITY, I (2009) (3)
Point-Counting and the Zilber–Pink Conjecture (2022) (3)
Concordant sequences and concordant entire functions (2002) (2)
Entire functions sharing arguments of integrality. II. (2008) (1)
Prizewinners 2011 (2012) (0)
André-Oort for Shimura Varieties (2021) (0)
From Mordell to Zilber-Pink The Mordell conjecture (2014) (0)
Ax-Schanuel and exceptional integrability (2022) (0)
O-Minimality and its Applications to Number Theory and Analysis (2018) (0)
Categoricity and covering spaces (2013) (0)
Does the Set of Points of an Elliptic Curve Determine the Group (1995) (0)

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What Schools Are Affiliated With Jonathan Pila?

Jonathan Pila is affiliated with the following schools:

Jonathan Pila's Academic­Influence.com Rankings