Jit WU Yap

activity

20182026

collaborators

13 papers

math.DS2026

Degree Growth of Iterates of Curves and Likely Intersections

Sina Saleh, Jit Wu Yap

We study the growth of the bidegree of an ample irreducible curve in $P^{1} \times P^{1}$ under a product polynomial endomorphism $φ = (f, g)$ , where at least one of $f$ …

math.NT2026

Finiteness of an Isogeny Class via Equidistribution

Jit Wu Yap

In a very recent, beautiful paper, Junyi Xie and Ziquan Yang gave a new proof of Faltings' isogeny theorem over number fields by reducing to Tate's theorem over finite fields. We s…

math.DS2026

Non-Archimedean Rigidity and Uniformity for Common Preperiodic Points

Chen Gong, Jit Wu Yap

Let $k$ be an algebraically closed, complete non-Archimedean field of residue characteristic $0$ . Let $f$ be a polynomial of degree at least $2$ over $k$ which does not have potent…

math.NT2026

Uniform boundedness of small points on abelian varieties over function fields

Nicole Looper, Jit Wu Yap

Let $k$ be a field of characteristic $0$ and let $K = k (B)$ be the function field of a geometrically irreducible projective curve $B$ over $k$ . Let $A / K$ be a $g$ -dimensional abeli…

math.NT2026

On the pointwise convergence of the number of abelian varieties over $F_{p}$ with fixed trace

Zhao Yu Ma, Jit Wu Yap, Jeff Achter +1

Extending Katz-Sarnak heuristics, Ballini-Lombardo-Verzobio [BLV25] conjectures a limiting distribution as $p \to \infty$ for $# A_{g} (F_{p}, t)$ , the number of $g$ -dimensional…

math.NT2025

A quantitative dynamical Zhang fundamental inequality and Bogomolov-type problems

Niki Myrto Mavraki, Jit Wu Yap

We prove a quantitative version of Zhang's fundamental inequality for heights attached to polarizable endomorphisms. As an application, we obtain a gap principle for the Néron-Tate…

math.NT2025

Lower Bounds for Galois Orbits of periodic points for polarized endomorphisms

Jit Wu Yap, Tien-Cuong Dinh

Let $K$ be a number field, $X$ a smooth projective variety over $K$ and $f : X \to X$ a polarized endomorphism of degree $d \geq 2$ . We prove an exponential lower bound on $[K(\Per_…

math.NT2025

On the Number of Small Points for Rational Maps

Jit Wu Yap

Let $K$ be a number field and $f : P^{1} \to P^{1}$ a rational map of degree $d \geq 2$ with at most $s$ places of bad reduction, where we include all archimedean plac…

math.NT2024

Quantitative Equidistribution of Small Points for Canonical Heights

Jit Wu Yap

Let $X$ be a smooth projective variety defined over a number field $K$ and let $φ : X \to X$ a polarized endomorphism of degree $d \geq 2$ . Let $h_{φ}$ be the canonical heig…

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…

math.GR2018

Nilpotent orbits of orthogonal groups over $p$ -adic fields, and the DeBacker parametrization

Tobias Bernstein, Jia-Jun Ma, Monica Nevins +1

For local non-archimedean fields $k$ of sufficiently large residual characteristic, we explicitly parametrize and count the rational nilpotent adjoint orbits in each algebraic orbi…

Degree Growth of Iterates of Curves and Likely Intersections

Finiteness of an Isogeny Class via Equidistribution

Non-Archimedean Rigidity and Uniformity for Common Preperiodic Points

Uniform boundedness of small points on abelian varieties over function fields

On the pointwise convergence of the number of abelian varieties over Fp​ with fixed trace

A quantitative dynamical Zhang fundamental inequality and Bogomolov-type problems

Lower Bounds for Galois Orbits of periodic points for polarized endomorphisms

On the Number of Small Points for Rational Maps

Quantitative Equidistribution of Small Points for Canonical Heights

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

Nilpotent orbits of orthogonal groups over p-adic fields, and the DeBacker parametrization

On the pointwise convergence of the number of abelian varieties over $F_{p}$ with fixed trace

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

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

Nilpotent orbits of orthogonal groups over $p$ -adic fields, and the DeBacker parametrization