H. Jung

activity

20102026

PSL_{3} (R)

-Hitchin components

2 citations · 4 across the 18 of their papers we have counts for

collaborators

20 papers

math.NT2026

On the integrality of modular functions over $Z [j]$ and Kronecker-type congruences

Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin

Let $N$ be a positive integer and let $f$ be a meromorphic modular function of level $N$ with rational Fourier coefficients. For a prime $p$ , define a function $f_{p}$ on the complex…

math.NT2025

Inverse limits of CM points on certain Shimura varieties

Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin

Let $N$ be a positive integer, and let $D \equiv 0$ or $1\Mod{4}$ be a negative integer. We define the sets $CM (D, Y_{1} (N)^{\pm})$ and $CM (D, Y (N)^{\pm})$ as subsets…

math.NT2023

Class fields and form class groups for solving certain quadratic Diophantine equations

Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin +1

Let $K$ be an imaginary quadratic field and $O$ be an order in $K$ . We construct class fields associated with form class groups which are isomorphic to certain $\mathcal{…

math.GT2023

The volumes of the Hitchin-Riemann moduli spaces are infinite

Suhyoung Choi, Hongtaek Jung

In this study, we prove that the actions of the mapping class groups on a large range of higher Teichmüller spaces with a rank of at least two possess infinite Atiyah-Bott-Goldman…

math.GT2022

Groups acting on veering pairs and Kleinian groups

Hyungryul Baik, Hongtaek Jung, KyeongRo Kim

We show that some laminar group which has an invariant veering pair of laminations is a hyperbolic 3-orbifold group. On the way, we show that from a veering pair of laminations, on…

math.NT2022

Arithmetic properties of orders in imaginary quadratic fields

Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin +1

Let $K$ be an imaginary quadratic field. For an order $O$ in $K$ and a positive integer $N$ , let $K_{O, N}$ be the ray class field of $O$ modulo $N\m…

math.NT2021

Class fields generated by coordinates of elliptic curves

Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin

Let $K$ be an imaginary quadratic field different from $Q (- 1)$ and $Q (- 3)$ . For a nontrivial integral ideal $m$ of $K$ , let $K_\mathfrak{…

math.GT2020

Concordance invariants and the Turaev genus

Hongtaek Jung, Sungkyung Kang, Seungwon Kim

We show that the differences between various concordance invariants of knots, including Rasmussen's $s$ -invariant and its generalizations $s_{n}$ -invariants, give lower bounds to the…

math.NT2020

On some $p$ -adic Galois representations and form class groups

Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin +1

Let $K$ be an imaginary quadratic field of discriminant $d_{K}$ with ring of integers $O_{K}$ . When $K$ is different from $Q (- 1)$ and $Q (- 3)$ ,…

math.GT2020

Symplectic coordinates on the deformation spaces of convex projective structures on 2-orbifolds

Suhyoung Choi, Hongtaek Jung

Let $O$ be a closed orientable 2-orbifold of negative Euler characteristic. Huebschmann constructed the Atiyah-Bott-Goldman type symplectic form $ω$ on the deformation sp…

math.NT2019

Form class groups and class fields of CM-fields

Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin +1

Let $F$ be a totally real number field of class number one, and let $K$ be a CM-field with $F$ as its maximal real subfield. For each positive integer $N$ , we construct a class gro…

math.NT2019★ 1 cited

On some extension of Gauss' work and applications

Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin

Let $K$ be an imaginary quadratic field of discriminant $d_{K}$ , and let $n$ be a nontrivial integral ideal of $K$ in which $N$ is the smallest positive integer. Let $\mat…

math.GT2019★ 2 cited

Symplectic coordinates on $PSL_{3} (R)$ -Hitchin components

Suhyoung Choi, Hongtaek Jung, Hong Chan Kim

Goldman parametrizes the $PSL_{3} (R)$ -Hitchin component of a closed oriented hyperbolic surface of genus $g$ by $16 g - 16$ parameters. Among them, $10 g - 10$ coordinate…

math.NT2018

On some extension of Gauss' work and applications (II)

Ick Sun Eum, Ho Yun Jung, Ja Kyung Koo +1

Let $K$ be an imaginary quadratic field of discriminant $d_{K}$ , and let $n$ be a nontrivial integral ideal of $K$ in which $N$ is the smallest positive integer. Let $\mat…

math.NT2015★ 1 cited

Primitive and totally primitive Fricke families with applications

Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin

We introduce the primitivity of Fricke families, and give some examples. As its application, we first construct generators of the function field of the modular curve of level $N$ i…

math.NT2014

On some Fricke families and application to the Lang-Schertz conjecture

Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin

We first investigate two kinds of Fricke families consisting of Fricke functions and Siegel functions, respectively. And, in terms of their special values we generate ray class fie…

math.NT2012

Application of Weierstrass units to relative power integral bases

Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin

Let $K$ be an imaginary quadratic field other than $Q (- 1)$ and $Q (- 3)$ . We construct relative power integral bases between certain abelian extension…

math.NT2010

On some arithmetic properties of Siegel functions (II)

Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin

Let $K$ be an imaginary quadratic field with discriminant $d_{K} \leq - 7$ . We deal with problems of constructing normal bases between abelian extensions of $K$ by making use of singula…

math.NT2010

Ray class invariants over imaginary quadratic fields

Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin

Let $K$ be an imaginary quadratic field of discriminant less than or equal to -7 and $K_{(N)}$ be its ray class field modulo $N$ for an integer $N$ greater than 1. We prove that si…

math.NT2010

Ring class invariants over imaginary quadratic fields

Ick Sun Eum, Ja Kyung Koo, Dong Hwa Shin

We show by adopting Schertz's argument with the Siegel-Ramachandra invariant that singular values of certain quotients of the $Δ$ -function generate ring class fields over imaginary…

On the integrality of modular functions over Z[j] and Kronecker-type congruences

Inverse limits of CM points on certain Shimura varieties

Class fields and form class groups for solving certain quadratic Diophantine equations

The volumes of the Hitchin-Riemann moduli spaces are infinite

Groups acting on veering pairs and Kleinian groups

Arithmetic properties of orders in imaginary quadratic fields

Class fields generated by coordinates of elliptic curves

Concordance invariants and the Turaev genus

On some p-adic Galois representations and form class groups

Symplectic coordinates on the deformation spaces of convex projective structures on 2-orbifolds

Form class groups and class fields of CM-fields

On some extension of Gauss' work and applications

Symplectic coordinates on PSL3​(R)-Hitchin components

On some extension of Gauss' work and applications (II)

Primitive and totally primitive Fricke families with applications

On some Fricke families and application to the Lang-Schertz conjecture

Application of Weierstrass units to relative power integral bases

On some arithmetic properties of Siegel functions (II)

Ray class invariants over imaginary quadratic fields

Ring class invariants over imaginary quadratic fields

On the integrality of modular functions over $Z [j]$ and Kronecker-type congruences

On some $p$ -adic Galois representations and form class groups

Symplectic coordinates on $PSL_{3} (R)$ -Hitchin components