BoGwang Jeon

activity

20112025

most citedThe Zilber-Pink Conjecture and the Generalized Cosmetic Surgery Conjecture

4 citations · 9 across the 13 of their papers we have counts for

collaborators

13 papers

math.GT2025

Classification of Hyperbolic Dehn fillings II: Quadratic case

BoGwang Jeon

This paper is subsequent to [5]. In this paper, we extend the classification of hyperbolic Dehn fillings with sufficiently large coefficients by addressing the remaining case not c…

math.GT2023

Hyperbolic Dehn filling, volume, and transcendentality

BoGwang Jeon, Sunul Oh

Let $M$ be a 1-cusped hyperbolic 3-manifold. In this paper, we study the behavior of $N_{M} (v)$ , the number of Dehn fillings of $M$ with a given volume $v (\in R)$ . We conduc…

math.GT2022

Classification of hyperbolic Dehn fillings I

BoGwang Jeon

Let $M$ be a $2$ -cusped hyperbolic $3$ -manifold. By the work of Thurston, the product of the derivatives of the holonomies of core geodesics of each Dehn filling of $M$ is an invar…

math.GT2021★ 1 cited

On the trace fields of hyperbolic Dehn fillings

Stavros Garoufalidis, BoGwang Jeon

Assuming Lehmer's conjecture, we estimate the degree of the trace field $K (M_{p / q})$ of a hyperbolic Dehn-filling $M_{p / q}$ of a 1-cusped hyperbolic 3-manifold $M$ by $$ \dfrac{1}{…

math.GT2020

On anomalous subvarieties of holonomy varieties of hyperbolic 3-manifolds

BoGwang Jeon

The goal of this paper is to explore the interplay between two seemingly distinct fields. More precisely, let $M$ be an $n$ -cusped hyperbolic $3$ -manifold with rationally…

math.GT2019

Rigidity in hyperbolic Dehn filling

Ian Agol, BoGwang Jeon

This paper concerns with a rigidity of core geodesics in hyperbolic Dehn fillings. For instance, for an $n$ -cusped hyperbolic $3$ -manifold $M$ having non-symmetric cusp shapes, we…

math.GT2018

On the number of hyperbolic Dehn fillings of a given volume

BoGwang Jeon

Let M be a 1-cusped hyperbolic 3-manifold whose cusp shape is quadratic. We show that there exists c=c(M) such that the number of hyperbolic Dehn fillings of M with any given volum…

math.GT2018★ 4 cited

The Zilber-Pink Conjecture and the Generalized Cosmetic Surgery Conjecture

BoGwang Jeon

In this paper, we generalize the Cosmetic Surgery Conjecture to an $n$ -cusped hyperbolic $3$ -manifold and prove it under the assumption of another well-known conjecture in number t…

math.GT2016★ 3 cited

The Unlikely Intersection Theory and the Cosmetic Surgery Conjecture

BoGwang Jeon

Update: The Cosmetic Surgery Conjecture modulo finitely many Dehn-filling coefficients has been a well-known classical result, so the first main result of this paper is not new. (B…

math.GT2016

Realizing algebraic invariants of hyperbolic surfaces

BoGwang Jeon

Let $S_{g}$ ( $g \geq 2$ ) be a closed surface of genus $g$ . Let $K$ be any real number field and $A$ be any quaternion algebra over $K$ such that $A\otimes_K\mathbb{R}\cong M_2(\mathbb…

math.GT2014★ 1 cited

Hyperbolic three manifolds of bounded volume and trace field degree II

BoGwang Jeon

In this paper, we prove the Bounded Height Conjecture which the author formulated in [2]. As a corollary, it follows that there are only a finite number of hyperbolic three manifol…

math.GT2013

Hyperbolic three manifolds of bounded volume and trace field degree

BoGwang Jeon

For a single cusped hyperbolic 3-manifold, Hodgson proved that there are only finitely many Dehn fillings of it whose trace fields have bounded degree. In this paper, we conjecture…

math.GT2011

Heegaard genera in congruence towers of hyperbolic 3-manifolds

BoGwang Jeon

Given a closed hyperbolic 3-manifold $M$ , we construct a tower of covers with increasing Heegaard genus, and give an explicit lower bound on the Heegaard genus of such covers as a…