Ge Zhang

activity

20212026

most citedSpace spanned by characteristic exponents

1 citations · 2 across the 9 of their papers we have counts for

collaborators

Showing 2026Show all

5 papers · 1 filter

math.NT2026

A Bogomolov property for moduli spaces of polynomials over abelian extensions

Geng-Rui Zhang

Let $d \geq 2$ be an integer, and let $MPoly^{d}$ be the moduli space of degree- $d$ polynomials. For every number field $K$ , we prove that there exists $ε_{K, d} > 0$ such…

math.DS2026

Generic reconstruction of rational maps from multipliers of periods one and two

Geng-Rui Zhang

For every integer $d \geq 2$ and every field of characteristic different from $2$ , we prove that on the moduli space $M_{d}$ of degree- $d$ rational maps, the multiplier spect…

math.NT2026

$13$ unknowns over quadratic integer rings and Lucas congruences

Geng-Rui Zhang

For every quadratic number field $K$ , we prove a uniform $3$ -unknown Diophantine definition of integer tuples in $O_{K}$ , allowing finitely many polynomial nonvanishing con…

math.DS2026

Rank-two recurrence results for polynomials and questions of dynamical Mordell--Lang type

Geng-Rui Zhang

Let $f, g \in C [z] ∖ C$ and $c \in C [z]$ . Suppose that $deg (c) = 1$ if $deg (f) = deg (g) = 1$ . Using the theory of Presburger arithm…

math.DS2026

Rigidity of Lyapunov exponents for polynomials

Zhuchao Ji, Junyi Xie, Geng-Rui Zhang

Let $f, g \in Q [z]$ be polynomials of degree $d \geq 2$ with disconnected Julia sets. We prove that they have the same Lyapunov exponent $\mathcal{L}_f=\mathcal{L}_g…

A Bogomolov property for moduli spaces of polynomials over abelian extensions

Generic reconstruction of rational maps from multipliers of periods one and two

13 unknowns over quadratic integer rings and Lucas congruences

Rank-two recurrence results for polynomials and questions of dynamical Mordell--Lang type

Rigidity of Lyapunov exponents for polynomials

$13$ unknowns over quadratic integer rings and Lucas congruences