Jit WU Yap

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20242026

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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

$S$ -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 $I ¨ : P^{1} \to P^{1}$ be a rational map of degree $d…

math.NT2026

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.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 NÃ©ron-Tat…

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_…

Uniform boundedness of small points on abelian varieties over function fields

S-Integral Points in Orbits on P1

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

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

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

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

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