Helen W.J. Zhang




Position: Assistant professor
Office: 313
Email: helenzhang@hnu.edu.cn

Research Area
Combinatorics/Integer partitions/Modular form/q-Series/Mock theta functions

Education
2014.9--2019.6 (Ph.D.) Center for Applied Mathematics, Tianjin University, China.
Advisor: William Y.C. Chen.
2010.9--2014.6 (B.S.) Academy of Mathematics and Statistics, Zhengzhou University, China.

Publications
[1] Helen W.J. Zhang, A note on truncated Jacobi triple product series, submitted.
[2] Helen W.J. Zhang, Further generalizations of some Hecke type identities, submitted.
[3] Helen W.J. Zhang, Further extensions of some truncated Hecke type identities, Acta Math. Sci. Ser. B (Engl. Ed.)
[4] Helen W.J. Zhang, Dyson's rank, overpartitions and universal mock theta functions, Canad. Math. Bull.
[5] Edward Y.S. Liu and Helen W.J. Zhang, Inequalities for the overpartition function, Ramanujan J. 54 (2021) 485–509.
[6] Helen W.J. Zhang, (q,c)-Derivative operator and its applications, Adv. in Appl. Math. 121 (2020) 102081 23 pages.
[7] Bin Wei and Helen W.J. Zhang, Rank differences for overpartitions modulo 6, Proc. Amer. Math. Soc. 148 (10) (2020) 4333–4349.
[8] Helen W.J. Zhang, M_2-Ranks of overpartitions modulo 6 and 10, Ramanujan J. 51 (2) (2020) 353–389.
[9] Kathy Q. Ji, Helen W.J. Zhang and Alice X.H. Zhao, Ranks of overpartitions modulo 6 and 10, J. Number Theory 184 (2018) 235–269.

Unpublished
[1] Wenston J.T. Zang and Helen W.J. Zhang, The unimodality of the crank on overpartitions, arXiv:1811.10013.

Research Grants
1. Research on rank functions in integer partitions and mock theta functions, NSFC **, 2021/01/01 – 2023/12/31.

Teaching
Combinatorics (for undergraduate students)
Probability and Statistics (for undergraduate students)