Research interest
Number Theory
Arithmetic Statistics
Publications
[22] Distribution of the cokernels of determinantal row-sparse matrices (with Jungin Lee). submitted [arXiv].
[21] The rational cuspidal subgroup of J_0(N) (with Hwajong Yoo). submitted [arXiv].
[20] Random p-adic matrices with fixed zero entries and the Cohen–Lenstra distribution (with Dong Yeap Kang and Jungin Lee). submitted [arXiv].
[19] The distribution of the cokernel of a polynomial evaluated at a random integral matrix (with Gilyoung Cheong). American Journal of Mathematics (to appear) [arXiv].
[18] Families of even non-congruent numbers with odd primes factors of the form 8k+5 (with Ringi Kim, Junguk Lee and Wan Lee). Tokyo Journal of Mathematics 47 (2024), 451-475.
[17] On characteristic polynomials of certain Iwasawa modules (with Wan Lee). Mathematical Research Letters 31 (2024), 1107-1131.
[16] Multi-partition analogue of q-binomial coefficients (with Byungchan Kim and Hayan Nam). International Journal of Number Theory 20 (2024), 1327-1351.
[15] The rational cuspidal subgroup of J_0(p^2M) with M squarefree (with Jia-Wei Guo, Yifan Yang, and Hwajong Yoo). Mathematische Nachrichten 296 (2023) 4634-4655.
[14] Jordan-Landau theorem for matrices over finite fields (with Gilyoung Cheong, Jungin Lee, and Hayan Nam). Linear Algebra and its Applications 655 (2022), 100-128.
[13] Bounds for 2-Selmer ranks in terms of semi-narrow class groups. (with Hwajong Yoo). Pacific Journal of Mathematics 320 (2022) 193--222.
[12] Families of non-congruent numbers with odd prime factors of the form 8k+3. (with Junguk Lee, Wan Lee, and Hayan Nam). Journal of Number Theory 238 (2022), 474-501.
[11] On elliptic curves with complex multiplication and root numbers. (with Wan Lee). International Journal of Number Theory 17 (2021), 827-845.
[10] The largest size of an (s, s + 1)-core partition with parts of the same parity. (with Hayan Nam). International Journal of Number Theory 17 (2021), 699-712.
[9] How to determine a partition up to conjugation using multisets of hook lengths. (with Hayan Nam). Discrete Mathematics 343 (2020).
[8] The distribution of Selmer ranks of quadratic twists of Jacobians of hyperelliptic curves. Mathematical Research Letters 26 (2019), 1217-1250.
[7] 2-Selmer near-companion curves. Transactions of the American Mathematical Society 372 (2019), 425-440.
[6] Large Shafarevich-Tate groups over quadratic number fields. Journal of Number Theory 199 (2019), 98-109.
[5] Johnson's bijections and their application to counting simultaneous core partitions (with Jineon Baek, and Hayan Nam). European Journal of Combinatorics 75 (2019) 43-54.
[4] Slopes for higher rank Artin-Schreier-Witt towers (with Rufei Ren, Daqing Wan, and Liang Xiao). Transactions of the American Mathematical Society 370 (2018), 6411-6432.
[3] A bijective proof of Amdeberhan's conjecture on the number of (s,s+2)-core partitions with distinct parts (with Jineon Baek, and Hayan Nam). Discrete Mathematics 341 (2018), 1294-1300.
[2] On 2-Selmer ranks of quadratic twists of elliptic curves, Mathematical Research Letters 24 (2017). 1565-1583.
[1] Selmer ranks of twists of hyperelliptic curves and superelliptic curves. Journal of Number Theory 160 (2016), 148-185.