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Publications

The full list is also in my CV.

• The decomposition of primes in nonabelian extensions of Heisenberg type and an analogue of Euler's criterion.
  (with Ingyu Yang), Journal of Number Theory, Volume 292 (2026) 495-510.
• 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, Volume 11 no. 54 (2025).
• 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), 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.