papers
Publications (26)
math.DS2014
Critical dynamics of variable-separated affine correspondences
Patrick Ingram
math.NT2017
p-adic uniformization and the action of Galois on certain affine correspondences
Patrick Ingram
math.NT2007
The uniform primality conjecture for elliptic curves
Graham Everest, Patrick Ingram, Valery Mahe +1
math.NT2008
Specializations of elliptic surfaces, and divisibility in the Mordell-Weil group
Patrick Ingram
math.NT2017
The critical height is a moduli height
Patrick Ingram
math.NT2008
Uniform Bounds on Pre-Images under Quadratic Dynamical Systems
Xander Faber, Benjamin Hutz, Patrick Ingram +4
math.NT2011
Algebraic divisibility sequences over function fields
Patrick Ingram, Valéry Mahé, Joseph H. Silverman +2
math.NT2011
Arboreal Galois representations and uniformization of polynomial dynamics
Patrick Ingram
math.NT2008
Lower bounds on the canonical height associated to the morphism Ï(z)= z^d+c
Patrick Ingram
math.NT2011
A finiteness result for post-critically finite polynomials
Patrick Ingram
math.NT2013
Rigidity and height bounds for certain post-critically finite endomorphisms of projective space
Patrick Ingram
math.NT2012
A lower bound for the canonical height associated to a Drinfeld module
Patrick Ingram
math.NT2014
Canonical heights for correspondences
Patrick Ingram
math.NT2014
Variation of the canonical height for polynomials in several variables
Patrick Ingram
math.NT2013
Attracting cycles in p-adic dynamics and height bounds for post-critically finite maps
Robert L. Benedetto, Patrick Ingram, Rafe Jones +1
math.NT2015
Finite ramification for preimage fields of postcritically finite morphisms
Andrew Bridy, Patrick Ingram, Rafe Jones +5
math.NT2007
Primitive Divisors in Arithmetic Dynamics
Patrick Ingram, Joseph H. Silverman
math.NT2013
The filled Julia set of a Drinfeld module and uniform bounds for torsion
Patrick Ingram
math.DS2010
On Poonen's Conjecture Concerning Rational Preperiodic Points of Quadratic Maps
Benjamin Hutz, Patrick Ingram
math.NT2007
Primitive divisors on twists of the Fermat cubic
Graham Everest, Patrick Ingram, Shaun Stevens
math.NT2017
Critical orbits of polynomials with a periodic point of specified multiplier
Patrick Ingram
math.NT2011
Variation of the canonical height for a family of polynomials
Patrick Ingram
math.NT2008
Multiples of integral points on elliptic curves
Patrick Ingram
math.NT2018
Current Trends and Open Problems in Arithmetic Dynamics
Robert Benedetto, Laura DeMarco, Patrick Ingram +4
math.NT2011
Canonical heights for Henon maps
Patrick Ingram
math.NT2017
Canonical heights and preperiodic points for weighted homogeneous families of polynomials
Patrick Ingram