Research
Publications
Results on bar-core partitions, core shifted Young diagrams, and doubled distinct cores, (with H. Cho, J. Huh and J. Sohn), Discrete Mathematics, Vol 346 (2023)
Jordan-Landau theorem for matrices over finite fields, (with G. Cheong, J.Lee and M. Yu), Linear Algebra and its Application, Vol 655 (2022), 100--128
Families of non-congruent numbers with odd prime factors of the form 8k+3, (with J. Lee, W, Lee and M. Yu), Journal of Number Theory, Vol 238 (2022), 474–501.
A survey on t-core partitions, (with H. Cho, B. Kim and J. Sohn), Hardy-Ramanujan Journal, Vol 44, (2021), 81--101.
Largest size of an (s,s+1)-core partition with parts of the same parity, (with M. Yu), International Journal of Number Theory, Vol 17, (2021), 699--712.
A tiling proof of Euler's Pentagonal Number Theorem and generalizations, (with D. Eichhorn and J. Sohn), The Ramanujan Journal, Vol 54, (2021), 613--624.
Enumerating parking completions using join and split, (with A. Adeniran, S. Butler, G. Dolparen-Barry, P. Harris, C. Hettle, Q. Liang and J. Martin), Electronic Journal of Combinatorics, Vol 27, (2020), #P2.44
How to determine a partition up to conjugation using multisets of hook lengths, (with M. Yu), Discrete Mathematics, Vol 343, (2020).
On the genus of the quotient of a numerical semigroup, (with A. Adeniran, S. Butler, C. Defant, Y. Gao, P. Harris, C. Hettle, Q. Liang, and A. Volk), Semigroup Forum, Vol 98, (2019), 690--700.
Johnson's bijections and their application to counting simultaneous core partitions, (with J. Baek and M. Yu), European Journal of Combinatorics, Vol 75, (2019), 43--54.
A bijective proof of Amdeberhan's conjecture on the number of (s,s+2)-core partitions with distinct parts, (with J. Baek and M. Yu), Discrete Mathematics, Vol 341, (2018), 1294--1300.
On the asymptotic distribution of cranks and ranks of cubic partitions, (with B. Kim and E. Kim), Journal of Mathematics Analysis and Applications, Vol 443, (2016), 1095--1109.
On a conjecture of Soon-Yi Kang on a certain partition rank difference, (with B.Kim), The Ramanujan Journal, Vol 35, (2014), 467--477.