Hwajong Yoo

activity

20132025

most citedNon-optimal levels of a reducible mod l modular representation

10 citations · 22 across the 12 of their papers we have counts for

collaborators

17 papers

math.NT2025

The intrinsic subgroup of an elliptic curve and Mazur's torsion theorem

Takao Yamazaki, Yifan Yang, Hwajong Yoo +1

We define and study a biadditive symmetric (not necessarily perfect) pairing on the torsion part $Pic (X)_{tors}$ of the Picard group of a smooth projective curve…

math.NT2025

The rational cuspidal subgroup of J_0(N)

Hwajong Yoo, Myungjun Yu

For a positive integer $N$ , let $J_{0} (N)$ be the Jacobian of the modular curve $X_{0} (N)$ . In this paper we completely determine the structure of the rational cuspidal subgroup of $J_…

math.NT2022

Path Integrals and p-adic L-functions

Magnus Carlson, Hee-Joong Chung, Dohyeong Kim +3

We prove an arithmetic path integral formula for the inverse p-adic absolute values of the Kubota-Leopoldt p-adic L-functions at roots of unity.

math.NT2021

The rational cuspidal subgroup of $J_{0} (p^{2} M)$ with $M$ squarefree

Jia-Wei Guo, Yifan Yang, Hwajong Yoo +1

For a positive integer $N$ , let $C_{N} (Q)$ be the rational cuspidal subgroup of $J_{0} (N)$ and $C (N)$ be the rational cuspidal divisor class group of $X_0(…

math.NT2021

The rational torsion subgroup of $J_{0} (N)$

Hwajong Yoo

Let $N$ be a positive integer and let $J_{0} (N)$ be the Jacobian variety of the modular curve $X_{0} (N)$ . For any prime $p \geq 5$ whose square does not divide $N$ , we prove that the $p$ …

math.NT2020

Bounds for 2-Selmer ranks in terms of seminarrow class groups

Hwajong Yoo, Myungjun Yu

Let $E$ be an elliptic curve over a number field $K$ defined by a monic irreducible cubic polynomial $F (x)$ . When $E$ is \textit{nice} at all finite primes of $K$ , we bound its $2$ …

math.NT2019

The rational cuspidal divisor class group of $X_{0} (N)$

Hwajong Yoo

For any positive integer $N$ , we completely determine the structure of the rational cuspidal divisor class group of $X_{0} (N)$ , which is conjecturally equal to the rational torsion s…

math.NT2017★ 2 cited

The kernel of a rational Eisenstein prime at non-squarefree level

Hwajong Yoo

Let $ℓ \geq 5$ be a prime and let $N$ be a non-squarefree integer not divisible by $ℓ$ . For a rational Eisenstein prime $m$ of the Hecke ring $T (N)$ of le…

math.NT2017★ 1 cited

The action of the Hecke operators on the component groups of modular Jacobian varieties

Taekyung Kim, Hwajong Yoo

For a prime number $q \geq 5$ and a positive integer $N$ prime to $q$ , Ribet proved the action of the Hecke algebra on the component group of the Jacobian variety of the modular cur…

math.NT2017

Abelian arithmetic Chern-Simons theory and arithmetic linking numbers

Hee-Joong Chung, Dohyeong Kim, Minhyong Kim +3

Following the method of Seifert surfaces in knot theory, we define arithmetic linking numbers and height pairings of ideals using arithmetic duality theorems, and compute them in t…

math.NT2016

Arithmetic Chern-Simons Theory II

Hee-Joong Chung, Dohyeong Kim, Minhyong Kim +2

We apply ideas of Dijkgraaf and Witten on three-dimensional topological quantum field theory to arithmetic curves, that is, the spectra of rings of integers in algebraic number fie…

math.NT2015

On rational Eisenstein primes and the rational cuspidal groups of modular Jacobian varieties

Hwajong Yoo

Let $N$ be a non-squarefree positive integer and let $ℓ$ be an odd prime such that $ℓ^{2}$ does not divide $N$ . Consider the Hecke ring $T (N)$ of weight $2$ for $Γ_0(N…

math.NT2015

Rational torsion points on Jacobians of modular curves

Hwajong Yoo

Let $p$ be a prime greater than 3. Consider the modular curve $X_{0} (3 p)$ over $Q$ and its Jacobian variety $J_{0} (3 p)$ over $Q$ . Let $T (3 p)$ and $\mathcal{…

math.NT2015

Rational torsion points on Jacobians of Shimura curves

Hwajong Yoo

Let $p$ and $q$ be distinct primes. Consider the Shimura curve $X$ associated to the indefinite quaternion algebra of discriminant $pq$ over $Q$ . Let $J$ be the…

math.NT2015★ 4 cited

On Eisenstein ideals and the cuspidal group of $J_{0} (N)$

Hwajong Yoo

Let $C_{N}$ be the cuspidal subgroup of the Jacobian $J_{0} (N)$ for a square-free integer $N > 6$ . For any Eisenstein maximal ideal $m$ of the Hecke ring of level $N…

math.NT2014★ 10 cited

Non-optimal levels of a reducible mod l modular representation

Hwajong Yoo

Let $ℓ \geq 5$ be a prime and let $N$ be a square-free integer prime to $ℓ$ . For each prime $p$ dividing $N$ , let $a_{p}$ be either $1$ or $- 1$ . We give sufficient criteria for…

math.NT2013★ 5 cited

The index of an Eisenstein ideal and multiplicity one

Hwajong Yoo

Mazur's fundamental work on Eisenstein ideals of prime level has a variety of arithmetic applications. In this article, we generalize some of his work to square-free level. More sp…

The intrinsic subgroup of an elliptic curve and Mazur's torsion theorem

The rational cuspidal subgroup of J_0(N)

Path Integrals and p-adic L-functions

The rational cuspidal subgroup of J0​(p2M) with M squarefree

The rational torsion subgroup of J0​(N)

Bounds for 2-Selmer ranks in terms of seminarrow class groups

The rational cuspidal divisor class group of X0​(N)

The kernel of a rational Eisenstein prime at non-squarefree level

The action of the Hecke operators on the component groups of modular Jacobian varieties

Abelian arithmetic Chern-Simons theory and arithmetic linking numbers

Arithmetic Chern-Simons Theory II

On rational Eisenstein primes and the rational cuspidal groups of modular Jacobian varieties

Rational torsion points on Jacobians of modular curves

Rational torsion points on Jacobians of Shimura curves

On Eisenstein ideals and the cuspidal group of J0​(N)

Non-optimal levels of a reducible mod l modular representation

The index of an Eisenstein ideal and multiplicity one

The rational cuspidal subgroup of $J_{0} (p^{2} M)$ with $M$ squarefree

The rational torsion subgroup of $J_{0} (N)$

The rational cuspidal divisor class group of $X_{0} (N)$

On Eisenstein ideals and the cuspidal group of $J_{0} (N)$