School of Liberal Arts

Byungchan Kim
Mathematics(Number Theory)
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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
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.
Research Areas
Analytic and Combinatorial Number Theory

More specifically, Integer partitions, q-series, and modular forms.
Selected Publications
The overpartition function modulo 128, Integers 8 (2008), A #38, 8 pp.
Asymptotic expansions of certain partial theta functions (with B. Berndt), Proc. AMS 139 (2011), 3779–3789.
The odd moments of ranks and cranks (with G.E. Andrews and S. H. Chan), J. Comb. Thy Series A 120 (2013), 77–91.
Explicit bounds for the number of p-core partitions (with J. Rouse), Trans. AMS 366 (2014), 875–902.
Mock modular grids and Hecke relations for mock modular forms (with S. Ahlgren), Forum. Math. 26 (2014), 1261–1287.
Mock Theta Functions and Weakly Holomorphic Modular Forms Modulo 2 and 3 (with S. Ahlgren), Math. Proc. Camb. Phil. Soc. 158 (2015), 111–129.
Odd-balanced unimodal sequences and related functions: parity, mock modularity and quantum modularity (with S. Lim and J. Lovejoy), Proc. Amer. Math. Soc. 44 (2016), 3687–3700.
Group Actions on Partitions, Electronic J. Comb. 24 (2017), #P3.58.
Congruences for a mock modular form on SL2(Z) and the smallest parts function (with Scott Ahlgren), J. Number Thy 189 (2018), 81–89.
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.
Pairs of eta-quotients with dual weights and their applications (with Dohoon Choi and Subong Lim), Adv. Math. 355 (2019). 106779, 51pp.
Parity bias in Partitions (with Eunmi Kim and Jeremy Lovejoy), European J. Comb. 89 (2020), 103159, 19 pp.
A reinforcement learning based algorithm to find a triangular Graham partition, Hardy-Ramanujan J. 43 (2021), 91--98.
(Commemorative voluume in hornor of Srinivasa Ramanujan, Part I)