Jit WU Yap

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20182026

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math.DS2023

Shared Dynamically-Small Points for Polynomials on Average

Yan Sheng Ang, Jit Wu Yap

Given two rational maps $f, g : P^{1} \to P^{1}$ of degree $d$ over $C$ , DeMarco-Krieger-Ye [DKY22] has conjectured that there should be a uniform bound $B = B…

math.NT2023

$S$ -Integral Points in Orbits on $P^{1}$

Jit Wu Yap

Let $K$ be a number field and $S$ a finite set of places of $K$ that contains all of the archimedean places. Let $φ : P^{1} \to P^{1}$ be a rational map of degree $d \…

math.NT2023

Uniform Bounds on S-Integral Torsion Points for $G_{m}$ and Elliptic Curves

Jit Wu Yap

Let $K$ be a number field, $S$ a finite set of places. For $G_{m}$ or an elliptic curve $E$ defined over $K$ , we establish uniformity results on the number of $S$ -integral t…

Shared Dynamically-Small Points for Polynomials on Average

S-Integral Points in Orbits on P1

Uniform Bounds on S-Integral Torsion Points for Gm​ and Elliptic Curves

$S$ -Integral Points in Orbits on $P^{1}$

Uniform Bounds on S-Integral Torsion Points for $G_{m}$ and Elliptic Curves