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Department of Bigdata AI Management Information
Name |
Byungchan Kim |
MAJOR |
Mathematics(Number Theory) |
TEL |
02-970-6287 |
E-mail |
bkim4@seoultech.ac.kr |
Biography
B.S., Seoul National University, 1998 March -- 2004 Aug
Ph. D., University of Illinois at Urbana-Champaign, 2005 Aug -- 2010 May
Ph. D Advisors : Scott Ahlgren and Bruce Berndt
Ph. D., University of Illinois at Urbana-Champaign, 2005 Aug -- 2010 May
Ph. D Advisors : Scott Ahlgren and Bruce Berndt
Careers
Research Fellow, Korea Institute for Advanced Study, 2010 Jun. 1 -- 2010 Aug. 31
Assistant/Associate/Full Professor, SeoulTech, 2010 Sep. 1 -- present.
Associate Member, KIAS, 2010 Dec. 1 -- present.
Assistant/Associate/Full Professor, SeoulTech, 2010 Sep. 1 -- present.
Associate Member, KIAS, 2010 Dec. 1 -- present.
Research Areas
Analytic and Combinatorial Number Theory
More specifically, Integer partitions, q-series, and modular forms.
More specifically, Integer partitions, q-series, and modular forms.
Selected Publications
1. The overpartition function modulo 128, Integers 8 (2008), A #38, 8 pp.
2. The odd moments of ranks and cranks (with G.E. Andrews and S. H. Chan), J. Comb. Thy Series A 120 (2013), 77–91. (Highly Cited Research in JCTA, Dec. 2016)
3. Mock modular grids and Hecke relations for mock modular forms (with S. Ahlgren), Forum. Math. 26 (2014), 1261–1287.
4. Mock Theta Functions and Weakly Holomorphic Modular Forms Modulo 2 and 3 (with S. Ahlgren), Math. Proc. Camb. Phil. Soc. 158 (2015), 111–129.
5. Group Actions on Partitions, Electronic J. Comb. 24 (2017), #P3.58.
6. An overpartition analogue of q-binomial coefficients, II: combinatorial proofs and (q,t)-log concavity (with J. Dousse), J. Comb. Thy Series A 158 (2018), 228–253.
7. Pairs of eta-quotients with dual weights and their applications (with Dohoon Choi and Subong Lim), Adv. Math. 355 (2019). 106779, 51pp.
8. Parity bias in Partitions (with Eunmi Kim and Jeremy Lovejoy), European J. Comb. 89 (2020), 103159, 19 pp.
9. A reinforcement learning based algorithm to find a triangular Graham partition, Hardy-Ramanujan J. 43 (2021), 91--98. (Commemorative volume in honor of Srinivasa Ramanujan, Part I)
10. Distributions of reciprocal sums of parts in integer partitions (with Eunmi Kim), J. Comb. Thy Series A 211 (2025), 105982, 25 pp.
2. The odd moments of ranks and cranks (with G.E. Andrews and S. H. Chan), J. Comb. Thy Series A 120 (2013), 77–91. (Highly Cited Research in JCTA, Dec. 2016)
3. Mock modular grids and Hecke relations for mock modular forms (with S. Ahlgren), Forum. Math. 26 (2014), 1261–1287.
4. Mock Theta Functions and Weakly Holomorphic Modular Forms Modulo 2 and 3 (with S. Ahlgren), Math. Proc. Camb. Phil. Soc. 158 (2015), 111–129.
5. Group Actions on Partitions, Electronic J. Comb. 24 (2017), #P3.58.
6. An overpartition analogue of q-binomial coefficients, II: combinatorial proofs and (q,t)-log concavity (with J. Dousse), J. Comb. Thy Series A 158 (2018), 228–253.
7. Pairs of eta-quotients with dual weights and their applications (with Dohoon Choi and Subong Lim), Adv. Math. 355 (2019). 106779, 51pp.
8. Parity bias in Partitions (with Eunmi Kim and Jeremy Lovejoy), European J. Comb. 89 (2020), 103159, 19 pp.
9. A reinforcement learning based algorithm to find a triangular Graham partition, Hardy-Ramanujan J. 43 (2021), 91--98. (Commemorative volume in honor of Srinivasa Ramanujan, Part I)
10. Distributions of reciprocal sums of parts in integer partitions (with Eunmi Kim), J. Comb. Thy Series A 211 (2025), 105982, 25 pp.
Journal Papers
◾ Moments for Restricted Sum of Reciprocal Parts of Partitions, ELECTRONIC JOURNAL OF COMBINATORICS, vol.33 No.3, 2026김병찬
◾ A Computational Approach to Square Graham Partitions, EXPERIMENTAL MATHEMATICS, vol.35 No.3 pp.492~500, 2026김병찬
◾ Inequalities on the total number of t-hooks of partitions, EUROPEAN JOURNAL OF COMBINATORICS, vol.136, 2026김병찬
◾ ON THE FIRST AND SECOND MOMENTS OF PARITY BIAS IN INTEGER PARTITIONS, BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, vol.63 No.3 pp.829~839, 2026김병찬
◾ Improved asymptotics for moments of reciprocal sums for partitions into distinct parts, JOURNAL OF COMBINATORIAL THEORY SERIES A, vol.219, 2026김병찬
◾ On the distribution of a restricted parity excess, RESULTS IN MATHEMATICS, vol.81 No.4, 2026김병찬
◾ On the distribution of t-hooks of doubled distinct partitions, ADVANCES IN APPLIED MATHEMATICS, vol.171, 2025김병찬
◾ Modularity of moments of reciprocal sums for partitions into distinct parts, RESEARCH IN THE MATHEMATICAL SCIENCES, vol.12 No.3, 2025김병찬
◾ Distributions of reciprocal sums of parts in integer partitions, JOURNAL OF COMBINATORIAL THEORY SERIES A, vol.211, 2025김병찬
◾ q-Laguerre polynomials and partitions with inequality conditions, RAMANUJAN JOURNAL, vol.66 No.3, 2025김병찬