J. Pila

发表

C. Pomerance, H. Lenstra, Jr., J. Pila, 1993, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

Integer points on the dilation of a subanalytic surface

Jonathan Pila, J. Pila, 2004 .

The rational points of a definable set

Alex Wilkie, Jonathan Pila, A. Wilkie, 2006 .

On the algebraic points of a definable set

Jonathan Pila, J. Pila, 2009 .

Frobenius maps of Abelian varieties and finding roots of unity in finite fields

J. Pila, 1990 .

The Zilber-Pink conjecture for pure Shimura varieties via o-minimality

A. Wilkie, J. Pila, Tobias Kaiser, 2018 .

Note on Carlson's Theorem

J. Pila, 2005 .

Ax–Schanuel for the $j$-function

J. Pila, Jacob Tsimerman, 2014, 1412.8255.

From Mordell to Zilber-Pink The Mordell conjecture

J. Pila, 2014 .

Ax-Lindemann for \mathcal{A}_g

J. Pila, Jacob Tsimerman, 2012, 1206.2663.

O-Minimality and Diophantine Geometry: Functional transcendence via o-minimality

J. Pila, 2015 .

SPECIAL POINT PROBLEMS WITH ELLIPTIC MODULAR SURFACES

J. Pila, 2014 .

Ax-Lindemann for Ag

J. Pila, Jacob Tsimerman, 2014 .

Counting points on curves over families in polynomial time

J. Pila, 2005, math/0504570.

Canonical Heights on Shimura Varieties and the Andr\'e-Oort Conjecture

J. Pila, Jacob Tsimerman, H. Esnault, 2021, 2109.08788.

André-Oort for Shimura Varieties

J. Pila, Jacob Tsimerman, A. Shankar, 2021 .

Density of integral and rational points on varieties

J. Pila, 1995 .

Density of integer points on plane algebraic curves

J. Pila, 1996 .

Concordant sequences and concordant entire functions

J. Pila, 2002 .

Modular Ax-Lindemann-Weierstrass with Derivatives

Jonathan Pila, J. Pila, 2013, Notre Dame J. Formal Log..

Effective transcendental Zilber-Pink for variations of Hodge structures

Jonathan Pila, Thomas Scanlon, J. Pila, 2021, 2105.05845.

O-minimality and the André-Oort conjecture for $\mathbb{C}^{n}$

Jonathan Pila, J. Pila, 2011 .

The André–Oort conjecture for the moduli space of abelian surfaces

Jacob Tsimerman, Jonathan Pila, J. Pila, 2011, Compositio Mathematica.

O-minimality and certain atypical intersections

J. Pila, P. Habegger, 2014, 1409.0771.

The number of integral points on arcs and ovals

Enrico Bombieri, Jonathan Pila, J. Pila, 1989 .

Geometric postulation of a smooth function and the number of rational points

Jonathan Pila, J. Pila, 1991 .

Uniform parameterization of subanalytic sets and diophantine applications

A. Wilkie, J. Pila, R. Cluckers, 2016, Annales scientifiques de l'École normale supérieure.

Point-counting and applications

J. Pila, 2022 .

Ax-Schanuel for Shimura varieties

J. Pila, Jacob Tsimerman, N. Mok, 2017, Annals of Mathematics.

Rational points in periodic analytic sets and the Manin-Mumford conjecture

J. Pila, U. Zannier, 2008, 0802.4016.

Rational points on Grassmannians and unlikely intersections in tori

J. Pila, D. Masser, U. Zannier, 2015, 1511.00607.

Some unlikely intersections beyond André–Oort

J. Pila, P. Habegger, 2011, Compositio Mathematica.

Point-Counting and the Zilber–Pink Conjecture

J. Pila, 2022 .

Detecting perfect powers by factoring into coprimes

Daniel J. Bernstein, Hendrik W. Lenstra, Jonathan Pila, 2007, Math. Comput..

Ax-Schanuel and exceptional integrability

J. Pila, Jacob Tsimerman, 2022, 2202.04023.

A Hyperelliptic Smoothness Test, II

Carl Pomerance, H. Lenstra, C. Pomerance, 2002 .

Geometric and arithmetic postulation of the exponential function

J. Pila, 1993, Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics.

On a modular Fermat equation

J. Pila, 2015, 1508.05050.