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
- 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 volume in honor of Srinivasa Ramanujan, Part I)
- 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 volume in honor of Srinivasa Ramanujan, Part I)