Dohyeong Kim


Contact

dohyeongkim@snu.ac.kr


Events

Webinar in Number Theory, jointly organized with Prof. YoungJu Choie (POSTECH), Prof. Bo-Hae Im (KAIST), Prof. Chol Park (UNIST), and Prof. Tuan Ngo Dac (CNRS - Université de Caen Normandie) .

For events at SNU, please see
Number Theory at SNU, jointly organized with Prof. Oh Byeong-Kweon, Prof. Yoo Hwajong, and Prof. Junho Peter Whang,
Exchange Seminar , jointly organized with Prof. Gye-Seon Lee, Prof. Seonhee Lim, and Prof. Junho Peter Whang, and
SNU department seminar listings .

Arithmetic, Geometry, Space and Time, a workshop (25 - 29 Nov 2024, Edinburgh, UK) jointly organized with Netan Dogra (King's College London), Jaesung Kwon (Seoul National University), and Jan Vonk (Leiden University).


About me

Curriculum Vitae

Publications


Triple symbols in arithmetic.
(with Masanori Morishita), arxiv:2407.02063

Euclidean algorithms are Gaussian over imaginary quadratic fields.
(with Jungwon Lee and Seonhee Lim), arXiv:2401.00734

Entanglement entropies in the abelian arithmetic Chern-Simons theory.
(with Hee-Joong Chung, Minhyong Kim, Jeehoon Park, and Hwajong Yoo), arXiv:2312.17138, to appear in the Communications in Number theory and Physics (2024).

Continued fraction expansions in a real quadratic field and an invariant measure of Gauss-Kuzmin type in dimension two.
(with Junyeong Park), preprint, last updated 2025 January.

The proportion of monogenic orders of prime power indices of a pure cubic field.
(with Minchan Kang), arXiv:2306.13295, to appear in Bulletin of the Korean Mathematical Society.

Path Integrals and p-adic L-functions.
(with Magnus Carlson, Hee-Joong Chung, Minhyong Kim, Jeehoon Park, Hwajong Yoo), arXiv:2207.03732, Bull. Lond. Math. Soc.56(2024), no.6, 1951–1966.

A homotopy Lie formula for the p-adic Dwork Frobenius operator.
(with Jeehoon Park and Junyeong Park), arXiv:1906.06564.

An application of Lazard's theory of p-adic Lie groups to torsion Selmer pointed sets.
Osaka J. Math. 60 (2023), no. 3, 701-708.

Linear dependence among Hecke eigenvalues.
Arithmetic geometry, number theory, and computation, 507-519, Simons Symposia, 2021.

Ramification in the cohomology of algebraic surfaces arising from ordinary double point singularities.
J. Number Theory, 208 (2020), 335-345.

Descent for the punctured universal elliptic curve, and the average number of integral points on elliptic curves.
Acta Arith. 183(2018), no.3

Abelian arithmetic Chern-Simons theory and arithmetic linking numbers.
(with H. Chung, M. Kim, G. Pappas, J. Park, H. Yoo), IMRN, rnx271.

Arithmetic Chern-Simons Theory II.
(with H. Chung, M. Kim, J. Park, H. Yoo) p-adic hodge theory, 81-128, Simons Symposia, 2020.

A modular approach to cubic Thue-Mahler equations.
Math. Comp. 2017, Vol 86, 1435-1471.

On the transfer congruence between p-adic Hecke L-functions.
Cambridge Journal of Mathematics 2015, Volume 3, Number 3, 355-438.

p-adic L-functions over the false Tate extensions.
Math. Proc. of Camb. Phil. Soc., 2013, Volume 155 Issue 03, 483-498.

On the p-primary part of Tate-Shafarevich group of elliptic curves over Q when p is supersingular.
B. Korean Math. Soc. (2013) 50, no. 2, 407-416.

Introduction to the work of M. Kakde on the non-commutative main conjectures for totally real fields.
(with J. Coates) Noncommutative Iwasawa Main Conjectures over Totally Real Fields, 1-22, Springer Proc. Math. Stat., 29, Springer, Heidelberg, 2013.

On the Tate-Shafarevich group of elliptic curves over Q.
B. Korean Math. Soc. (2012) 49, no. 1, 155-163.