H. Jung

activity

20122021

PSL_{3} (R)

-Hitchin components

2 citations · 3 across the 4 of their papers we have counts for

collaborators

8 papers

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.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…