activity
20142023
most citedA modular approach to Thue-Mahler equations

3 citations · 5 across the 8 of their papers we have counts for

collaborators
Showing 2017Show all

2 papers · 1 filter

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.NT2017

Integral points on the complement of plane quartics

Dohyeong Kim

Let be the complement of a plane quartic curve defined over a number field. Our main theorem confirms the Lang-Vojta conjecture for when is a generic smooth quartic…