Publications
Path integrals and p-adic L-functions (with M. Carlson, H. Chung, D. Kim, M. Kim and J. Park), Bull. Lond. Math. Soc., Vol. 56(6) (2024) 1951--1966, [arXiv][Journal].
The rational cuspidal subgroup of J_0(p^2M) with M squarefree (with J. Guo, Y. Yang and M. Yu), Math. Nachr., Vol. 296(10) (2023) 4634--4655 [arXiv][Journal].
The rational torsion subgroup of J_0(N), Adv. Math., Vol. 426 (2023), 109111 [arXiv][Journal].
The rational cuspidal divisor class group of X_0(N), J. Number Theory, Vol. 242 (2023) 278--401 [arXiv], [Journal].
Bounds for 2-Selmer ranks in terms of seminarrow class groups (with M. Yu), Pacific J. Math., Vol. 320(1) (2022) 193--222 [arXiv], [Journal].
Arithmetic Chern-Simons theory II (with H. Chung, D. Kim, M. Kim and J. Park), in p-adic Hodge theory, Simons Symposia (2020) [arXiv], [Springer].
Abelian arithmetic Chern-Simons theory and arithmetic linking numbers (with H. Chung, D. Kim, M. Kim, G. Pappas and J. Park), Int. Math. Res. Not. IMRN, Vol. 2019(18) (2019) 5674--5702 [arXiv], [Journal], [Erratum].
On rational Eisenstein primes and the rational cuspidal groups of modular Jacobian varieties, Trans. Amer. Math. Soc., Vol. 372(4) (2019) 2429--2466 [arXiv], [Journal].
Non-optimal levels of a reducible mod l modular representation, Trans. Amer. Math. Soc., Vol. 371(6) (2019) 3805--3830 [arXiv], [Journal].
The action of the Hecke operators on the component groups of modular Jacobian varieties (with T. Kim), Pacific J. Math., Vol. 296(2) (2018) 341--355 [arXiv], [Journal].
Rational torsion points on Jacobians of modular curves, Acta Arith., Vol. 172(4) (2016) 299---304 [arXiv], [Journal].
On Eisenstein ideals and the cuspidal groups of J_0(N), Israel J. Math., Vol. 214 (2016) 359--377 [arXiv], [Journal].
Rational torsion points on Jacobians of Shimura curves, Bull. Lond. Math. Soc., Vol. 48(1) (2016) 163--171 [arXiv], [Journal].
The index of an Eisenstein ideal and multiplicity one, Math. Z., Vol. 282(3) (2016) 1097--1116 [arXiv], [Journal].
Preprints
The kernel of an Eisenstein prime at squarefree level (with K. Ribet).
The kernel of a rational Eisenstein prime at non-squarefree level [arXiv].
The rational cuspidal subgroup of J_0(N) (with M. Yu).
Entanglement entropies in the abelian arithmetic Chern-Simons theory (with H. Chung, D. Kim, M. Kim and J. Park) [arXiv].
Non-optimal levels of a reducible mod l modular representation II, in preparation.