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- Hwajong Yoo
- 2014

Let $\ell \geq 5$ be a prime and let $N$ be a square-free integer prime to $\ell$. For each prime $p$ dividing $N$, let $a_p$ be either $1$ or $-1$. We give sufficient criteria for the existence of a… (More)

- Hwajong Yoo
- 2015

Let $N$ be a non-square-free positive integer and let $\ell$ be a prime such that $\ell^2$ does not divide $4N$. Consider the Hecke ring $\mathbb{T}(N)$ of weight $2$ for $\Gamma_0(N)$. Then, we… (More)

- Hwajong Yoo
- 2017

Let $\ell \geq 5$ be a prime and let $N$ be a non-squarefree integer not divisible by $\ell$. For a rational Eisenstein prime $\mathfrak{m}$ of the Hecke ring $\mathbb{T}(N)$ of level $N$ acting on… (More)

- Hwajong Yoo
- 2013

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 fields. In the first… (More)

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 terms of n-th power… (More)

- Hwajong Yoo
- 2013

- Hwajong Yoo
- 2013

Mazur’s fundamental work on the Eisenstein ideal of prime level has a variety of arithmetic applications. In this article, we generalize some of his work to square-free level. More specifically, we… (More)

- Hwajong Yoo
- 2013