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
Dasom Basic Research Lab events, jointly organized with Prof. Gye-Seon Lee, Prof. Seonhee Lim, and Prof. Junho Peter Whang, and
SNU department seminar listings .
Number Theory at SNU is currently dormant, jointly organized with Prof. Byeong-Kweon Oh, Prof. Hwajong Yoo, and Prof. Junho Peter Whang.


About me

Curriculum Vitae

Publications


The decomposition of primes in nonabelian extensions of Heisenberg type and an analogue of Euler's criterion
(with Ingyu Yang), arXiv:2511.17095.

Arithmetic Chern-Simons actions of Massey type and triple symbols.
To appear.

On a weak form of Ennola’s conjecture about certain cubic number fields.
(with Jinwoo Choi), Res. Number Theory (2025) 11:54.

Non-vanishing mod p of derived Hecke algebra of the multiplicative group over number field.
(with Jaesung Kwon), arXiv:2410.22797, to appear.

Bertrand's and Rodriguez Villegas' conjecture for real multi-quadratic Galois extensions of the rationals.
(with Seungho Song), Journal de théorie des nombres de Bordeaux, Volume 38 (2026) no. 1, pp. 57-69.

Bertrand's and Rodriguez Villegas' Conjecture for real quartic Galois extensions of the rationals.
(with Seungho Song), arXiv:2410.03242, to appear.

Triple symbols in arithmetic.
(with Masanori Morishita), Triple symbols in arithmetic. Res. number theory 11, 86 (2025).

Euclidean algorithms are Gaussian over imaginary quadratic fields.
(with Jungwon Lee and Seonhee Lim), J. London Math. Soc. (2025), 112: e70333.

Entanglement entropies in the abelian arithmetic Chern-Simons theory.
(with Hee-Joong Chung, Minhyong Kim, Jeehoon Park, and Hwajong Yoo), arXiv:2312.17138,Communications in Number theory and Physics, Volume 18 (2024) Number 3.

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), Bulletin of the Korean Mathematical Society (2024) vol.61, no.6, pp. 1467-1479.

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.