Publications

1. A new proof of Winquist’s Identity, Journal of Combinatorial Theory, Series A,78, 313-318, 1997

2. The Rogers-Ramanujan Continued Fraction (with B. C. Berndt, H. H. Chan, S-.S. Huang, J. Sohn, S.H. Son), Journal of Computational and Applied Mathematics, 105, 9–24, 1999

3. The Problems Submitted by Ramanujan to the Journal of the Indian Mathematical Society (with B. C. Berndt and Y.S. Choi) Contemporary Mathematics, 236, 15-56, 1999

4. Ramanujan’s Formula for the Explicit Evaluation of the Rogers-Ramanujan Continued Fraction and Theta Functions, Acta Arithmetica, 90, 49-68, 1999

5. Some Theorems on the Rogers-Ramanujan Continued Fraction and Associated Theta Function Identities in Ramanujan’s Lost Notebook, The Ramanujan Journal, 3, 91-111, 1999 (DOI: https://doi.org/10.1023/A:1009869426750)

6. The Problems Submitted by Ramanujan to the Journal of the Indian Mathematical Society (with B. C. Berndt and Y.S. Choi), Ramanujan: Essays and Surveys, edited by Bruce C. Berndt and Robert A. Rankin, History of Mathematics Series, 22, 215-258, American Mathematical Society and London Mathematical Society, 2001

7. A Certain Quotient of Eta-Functions Found in Ramanujan’s Lost Notebook (with B. C. Berndt, H. H. Chan, and L.-C. Zhang), Pacific Journal of Mathematics, 202, 267-304, 2002

8. The Continuous Symmetric Hahn Polynomials Found in Ramanujan’s Lost Notebook (with S-.G. Lim and J. Sohn), Journal of Mathematical Analysis and Applications, 307, 153-166, 2005

9. Generalizations of Ramanujan’s Reciprocity Theorem and Their Applications, Journal of the London Mathematical Society, 75, 18-34, 2007 (DOI: https://doi.org/10.1112/jlms/jdl002)

10. Traces of Singular Moduli of Arbitrary Level Modular Functions (with D. Choi, D. Jeon and C.H. Kim), International Mathematical Research Notices, 2007, no.22: article ID rnm110, 2007 (DOI: https://doi.org/10.1093/imrn/rnm110)

11. Exact Formulas for Traces of Singular Moduli of Higher Level Modular Functions (with D. Choi, D. Jeon and C.H. Kim), Journal of Number Theory, 128, 700-707, 2008

12. Partitions Weighted by the Parity of Cranks (with D. Choi and J. Lovejoy), Journal of Combinatorial Theory, Ser. A, 116, no. 5, 1034-1046, 2009

13. Mock Jacobi Forms in Basic Hypergeometric Series, Compositio Mathemtica, 145, 553-565, 2009 (DOI: https://doi.org/10.1112/S0010437X09004060).

14. Arithmetic Properties of Traces of Singular Moduli on Congruence Subgroups (with C.H. Kim), International Journal of Number Theory, 6, no.8, 1755-1768, 2010 (DOI: https://doi.org/10.1142/S1793042110003757).

15. Modularity of Galois Traces of Class Invariants (with D. Jeon and C.H. Kim), Mathematische Annalen, 353, no.1, 37-63, 2012 (DOI: https://doi.org/10.1007/s00208-011-0671-2.

16. Weak Maass Poincare Series and Weight 3/2 Mock Modular Forms (with D. Jeon and C.H. Kim), Journal of Number Theory, 133, no.8, 2567-2587, 2013.

17. Cycle Integrals of a Sesqui-harmonic Maass Form of Weight 0 (with D. Jeon and C.H. Kim), Journal of Number Theory, 141, 92-108, 2014.

18. Finite and Infinite Rogers-Ramanujan Continued Fractions in Ramanujan's Lost Notebook (with B.C. Berndt and J. Sohn), Journal of Number Theory, 148, 112-120, 2015.

19.Corrigendum for "Weak Maass Poincare Series and Weight 3/2 Mock Modular Forms" (with D. Jeon and C.H. Kim), Journal of Number Theory,159, 434-435, 2016.

20. Zagier-lift Type Arithmetic in Weakly Harmonic Maass Forms (with D. Jeon and C.H. Kim), Journal of Number Theory, 169, 227-249, 2016 (DOI: https://doi.org/10.1016/j.jnt.2016.05.012).

21. Quantum mock modular forms arising from eta-theta functions (with A. Folsom, S. Garthwaite, H. Swisher, and S. Treneer), Research in Number Theory, 2:14 2016.

22. Mock theta functions of order 2 and their shadow computations (with H. Swisher), Bulletin of Korean Mathematical Society, 54:6, 2155-2163, 2017 (DOI: https://doi.org/10.4134/BKMS.b160813).

23. An analogue of Alder-Andrews conjecture generalizing the 2nd Rogers-Ramanujan identity (with E.Y. Park), Discrete Mathematics, 343:7, 11882, 2020 (DOI: https://doi.org/10.1016/j.disc.2020.111882 ).

24. Bases of Spaces of Harmonic Weak Maass Forms and Shintani Lifts on Harmonic Weak Maass Forms (with D. Jeon and C.H. Kim), Ramanujan J. 54, 219-244, 2021 (DOI: https://doi.org/10.1007/s11139-019-00197-2).

25. Divisibility properties of Fourier coefficients of (mock) modular functions and Ramanujan, Int. J. Number Theory ( Special Issue II: In honor of Bruce Berndt's 80th Birthday) 17:3, 577-589, 2021 (DOI:https://doi.org/10.1142/S1793042120400333).

26. Bounds for d-distinct partitions (with Y.H. Kim), Hardy-Ramanujan Journal (Special Issue in memory of Ramanujan on the 101st of his death), 43, 83-90, 2021 (https://hal.archives-ouvertes.fr/hal-03208434v1).

27. Hecke system of harmonic Maass functions and its applications to modular curves of higher genera (with D. Jeon and C.H. Kim) Ramanujan J. 62, 675-717 2023 (https://doi.org/10.1007/s11139-022-00689-8).

28. On values of weakly holomorphic modular functions at divisors of meromorphic modular forms (with D. Jeon and C.H. Kim) Journal of Number Theory, 239, 183-206, 2022 (https://doi.org/10.1016/j.jnt.2021.11.009)(https://arxiv.org/abs/2107.01158 ).

29. Hecke equivariance of generalized Borcherds products of type O(2,1), (with D. Jeon and C.H. Kim) Journal of Mathematical Analysis and Applications, 527(1), Part 2, article no. 127386, 2023 (https://doi.org/10.1016/j.jmaa.2023.127386)(http://arxiv.org/abs/2208.03924 ).

30. Corrigendum for "On values of weakly holomorphic modular functions at divisors of meromorphic modular forms" (with D. Jeon and C.H. Kim) J. Number Theory, 251, 66-69, 2023 (https://doi.org/10.1016/j.jnt.2023.04.006).

31. Alder-type partition inequality at the general level (with H. Cho and B. Kim), Discrete Math. 347:11 article no. 114157, 2024 (https://doi.org/10.1016/j.disc.2024.114157)(http://arxiv.org//pdf/2307.14048.pdf ).

32. Divisibility of Fourier coefficients of modular functions, Srinivasa Ramanujan, His Life, Legacy, and Mathematics (Edited by Alladi, Andrews, Berndt, Garvan, Ono, Paule, Warnaar, and Yee), Springer Nature Switzerland (to appear).

33. The Problems Submitted by Ramanujan to the Journal of the Indian Mathematical Society (with B. C. Berndt), Srinivasa Ramanujan, His Life, Legacy, and Mathematics (Edited by Alladi, Andrews, Berndt, Garvan, Ono, Paule, Warnaar, and Yee), Springer Nature Switzerland (to appear).

34. Ramanujan's Notebooks, Part V, Srinivasa Ramanujan, His Life, Legacy, and Mathematics (Edited by Alladi, Andrews, Berndt, Garvan, Ono, Paule, Warnaar, and Yee), Springer Nature Switzerland (to appear).

35. Hecke equivariance of divisor liftings with respect to sesquiharmonic Maass forms (with D. Jeon and C.H. Kim) (https://arxiv.org/abs/2407.21447 )(preprint).

36. Hauptmoduln and even-order mock theta functions modulo 2 (with S. Kim, T. Matsusaka, and J. Yoo) (https://arxiv.org/pdf/2410.06745 )(preprint).

37. A unified approach to Rohrlich-type divisor sums (with D. Jeon, C.H. Kim, and T. Matsusaka) (https://arxiv.org/pdf/2410.12571 )(preprint).