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
Arithmetic Chern-Simons actions of Massey type and triple symbols.
preprint, 2025 July.
On a weak form of Ennola’s conjecture about certain cubic number fields.
(with Jinwoo Choi), Res. Number Theory (2025) 11:54.
Bertrand's and Rodriguez Villegas' conjecture for real multi-quadratic Galois extensions of the rationals.
(with Seungho Song), arXiv:2410.03238, to appear.
Bertrand's and Rodriguez Villegas' Conjecture for real quartic Galois extensions of the rationals.
(with Seungho Song), arXiv:2410.03242
Triple symbols in arithmetic.
(with Masanori Morishita), arxiv:2407.02063, to appear.
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.