Research interest

• Number Theory

• Arithmetic Statistics

Publications/preprints

• Fields Generated by a Single Point on Elliptic Curves

(with Minseok Kim)

submitted

• Cokernels of random p-adic orthogonal matrices and their linearizations

(with Jungin Lee)

submitted

• A mod p determinant criterion for Cohen-Lenstra convergence of random p-adic matrices with prescribed zero pattern 

(with Hyungmin Jang, Nathan Kaplan, and Jungin Lee)

submitted

• Sharp threshold for universality of cokernels of classical random matrix models over the p-adic integers 

(with Jiwan Jung and Jungin Lee)

submitted 

• The intrinsic subgroup of an elliptic curve and Mazur's torsion theorem 

(with Takao Yamazaki, Yifan Yang, and Hwajong Yoo)

submitted

• Distribution of the cokernels of determinantal row-sparse matrices 

(with Jungin Lee)

Israel Journal of Mathematics (to appear)

• The rational cuspidal subgroup of J_0(N)

(with Hwajong Yoo)

Transactions of the American Mathematical Society (to appear) 

• Random p-adic matrices with fixed zero entries and the Cohen-Lenstra distribution 

(with Dong Yeap Kang and Jungin Lee)

Selecta Mathematica (New Series) 32 (2026), paper No. 72, 73 pages. 

•  The distribution of the cokernel of a polynomial evaluated at a random integral matrix 

(with Gilyoung Cheong)

American Journal of Mathematics (to appear)

• 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), 451-457.

• On characteristic polynomials of certain Iwasawa modules 

(with Wan Lee). 

Mathematical Research Letters 31 (2024), 1107-1131.

• Multi-partition analogue of q-binomial coefficients 

(with Byungchan Kim and Hayan Nam)

International Journal of Number Theory 20 (2024), 1327-1351. 

• 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.

• 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.

• Bounds for 2-Selmer ranks in terms of semi-narrow class groups

(with Hwajong Yoo)

Pacific Journal of Mathematics 320 (2022) 193-222.

• 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.

• On elliptic curves with complex multiplication and root numbers

(with Wan Lee)

International Journal of Number Theory 17 (2021), 827-845.

• 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.

• How to determine a partition up to conjugation using multisets of hook lengths

(with Hayan Nam) 

Discrete Mathematics 343 (2020).

• The distribution of Selmer ranks of quadratic twists of Jacobians of hyperelliptic curves

Mathematical Research Letters 26 (2019), 1217-1250.

• 2-Selmer near-companion curves

Transactions of the American Mathematical Society 372 (2019), 425-440.

• Large Shafarevich-Tate groups over quadratic number fields

Journal of Number Theory 199 (2019), 98-109.

• 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.

• 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. 

• 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. 

• On 2-Selmer ranks of quadratic twists of elliptic curves

Mathematical Research Letters 24 (2017). 1565-1583.

• Selmer ranks of twists of hyperelliptic curves and superelliptic curves

Journal of Number Theory 160 (2016), 148-185.