Gyeonghyeon Nam

activity

20242026

most citedA converse of dynamical Mordell--Lang conjecture in positive characteristic

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 papers

math.NT2026

Simultaneously preperiodic points and colliding orbits for families of polynomials in characteristic $p$

Jungin Lee, GyeongHyeon Nam

Let $k = F_{p}$ and let $f \in k [X]$ be a polynomial of degree at least $2$ such that $f - f (0)$ is non-additive. For $α, β$ in an algebraically closed extension $L$ of…

math.NT2025

On simultaneously preperiodic points for one-parameter families of polynomials in characteristic $p$

Jungin Lee, GyeongHyeon Nam

For a field $L$ of characteristic $p$ , a polynomial $f \in F_{p} [x]$ and $α, β \in L$ , let $Prep (f; α, β)$ be the set of all $λ \in L$ such that b…

math.NT2024

Intersection of orbits for polynomials in characteristic $p$

Simone Coccia, Dragos Ghioca, Jungin Lee +1

In [GTZ08, GTZ12], the following result was established: given polynomials $f, g \in C [x]$ of degrees larger than $1$ , if there exist $α, β \in C$ such that their corre…

math.NT2024★ 1 cited

A converse of dynamical Mordell--Lang conjecture in positive characteristic

Jungin Lee, Gyeonghyeon Nam

In this paper, we prove the converse of the dynamical Mordell--Lang conjecture in positive characteristic: For every subset $S \subseteq N_{0}$ which is a union of finitely…

Simultaneously preperiodic points and colliding orbits for families of polynomials in characteristic p

On simultaneously preperiodic points for one-parameter families of polynomials in characteristic p

Intersection of orbits for polynomials in characteristic p

A converse of dynamical Mordell--Lang conjecture in positive characteristic

Simultaneously preperiodic points and colliding orbits for families of polynomials in characteristic $p$

On simultaneously preperiodic points for one-parameter families of polynomials in characteristic $p$

Intersection of orbits for polynomials in characteristic $p$