Research interest


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.