Patrick Ingram

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Person:465455

Available identifiers

zbMath Open ingram.patrickWikidataQ102299990 ScholiaQ102299990MaRDI QIDQ465455

List of research outcomes

PublicationDate of PublicationType
H\'enon maps: a list of open problems2023-12-06Paper
Solutions to difference equations have few defects2023-05-31Paper
Minimally critical regular endomorphisms of2023-04-27Paper
Post-critically finite maps on ℙⁿ for 𝕟≥2 are sparse2023-04-26Paper
A remark on post-critically finite compositions of polynomials2022-10-26Paper
An asymptotic for sums of Lyapunov exponents in families2022-10-26Paper
Explicit canonical heights for divisors relative to endomorphisms of $\mathbb{P}^N$2022-07-14Paper
Effective finiteness of solutions to certain differential and difference equations2022-03-23Paper
Degree gaps for multipliers and the dynamical André–Oort conjecture2022-01-03Paper
Variation of the canonical height in a family of polarized dynamical systems2021-04-26Paper
Canonical Heights and Preperiodic Points for Certain Weighted Homogeneous Families of Polynomials2021-03-15Paper
Minimally critical regular endomorphisms of A^N2020-06-27Paper
Minimally critical endomorphisms of P^N2020-06-23Paper
Current trends and open problems in arithmetic dynamics2019-10-30Paper
Post-Critically Finite Maps on $\mathbb{P}^n$ for $n\ge2$ are Sparse2019-10-24Paper
Critical orbits of polynomials with a periodic point of specified multiplier2019-05-08Paper
Canonical heights for correspondences2018-12-13Paper
p-adic Uniformization and the Action of Galois on Certain Affine Correspondences2018-09-28Paper
Finite ramification for preimage fields of post-critically finite morphisms2018-07-10Paper
The critical height is a moduli height2018-06-21Paper
Critical dynamics of variable-separated affine correspondences2017-09-14Paper
Rigidity and Height Bounds for Certain Post-critically Finite Endomorphisms of ℙN2016-06-03Paper
Variation of the Canonical Height for Polynomials in Several Variables2016-02-01Paper
Attracting cycles in \(p\)-adic dynamics and height bounds for postcritically finite maps2014-10-31Paper
A Lower Bound for the Canonical Height Associated to a Drinfeld Module2014-10-21Paper
Canonical heights for Hénon maps2014-04-25Paper
Variation of the canonical height for a family of polynomials2014-01-14Paper
Rigidity and height bounds for certain post-critically finite endomorphisms of projective space2013-10-15Paper
On Poonen's conjecture concerning rational preperiodic points of quadratic maps2013-06-05Paper
Arboreal Galois representations and uniformization of polynomial dynamics2013-05-06Paper
The filled Julia set of a Drinfeld module and uniform bounds for torsion2012-10-10Paper
Uniform estimates for primitive divisors in elliptic divisibility sequences2012-09-25Paper
ALGEBRAIC DIVISIBILITY SEQUENCES OVER FUNCTION FIELDS2012-07-12Paper
Cubic Polynomials with Periodic Cycles of a Specified Multiplier2012-05-11Paper
A Finiteness Result for Post-critically Finite Polynomials2012-03-15Paper
Specializations of elliptic surfaces, and divisibility in the Mordell-Weil group2012-01-26Paper
Primitive Divisors on Twists of Fermat's Cubic2011-09-15Paper
A quantitative primitive divisor result for points on elliptic curves2010-08-25Paper
Lower bounds on the canonical height associated to the morphism \(\phi(z)= z^d+c\)2009-06-16Paper
Uniform bounds on pre-images under quadratic dynamical systems2009-04-28Paper
Primitive divisors in arithmetic dynamics2009-03-24Paper
Multiples of integral points on elliptic curves2009-01-06Paper
The uniform primality conjecture for elliptic curves2008-07-31Paper
Approximating algebraic numbers by j-invariants of elliptic curves2008-02-01Paper
Elliptic divisibility sequences over certain curves2007-06-22Paper
Diophantine analysis and torsion on elliptic curves2007-02-26Paper
https://portal.mardi4nfdi.de/entity/Q54814022006-08-09Paper
Torsion subgroups of elliptic curves in short Weierstrass form2005-04-27Paper

Research outcomes over time


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