Discrete Hodge star operator on 3-manifolds.
Abelian arithmetic Chern-Simons theory and arithmetic linking numbers.
(with H. Chung, M. Kim, G. Pappas, J. Park, H. Yoo), IMRN, rnx271.
Ramification in the cohomology of algebraic surfaces.
preprint, April 2017.
Arithmetic Chern-Simons Theory II.
(with H. Chung, M. Kim, J. Park, H. Yoo) arXiv:1609.03012.
On the transfer congruence between p-adic Hecke L-functions.
Cambridge Journal of Mathematics 2015, Volume 3, Number 3, 355-438.
Descent for the punctured universal elliptic curve, and the average number of integral points on elliptic curves.
to appear in Acta Arithmetica.
A modular approach to cubic Thue-Mahler equations.
Math. Comp. 2017, Vol 86, 1435-1471.
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.