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Helen W.J. Zhang
Mathematical Sciences
Hunan University
Hunan
Language: English, Chinese
Contact
Combinatorics Integer Partitions Q-Series Modular Forms Rank Functions Mock Theta Functions Asymptotics Overpartitions Hecke Identities Truncated Series
Areas of Focus
  • Combinatorial Mathematics
  • Integer Partitions
  • q-Series
Work Experience
  • 2019-Present: Courses in Probability and Statistics, Combinatorial Mathematics (Bilingual), and Modular Forms at Hunan University
Academic Background & Achievements
  • 2010-2014 B.S. in Applied Mathematics from Zhengzhou University
  • 2014-2019 Ph.D. in Mathematics from Tianjin University, Advisor: William Y.C. Chen
Publications
  • Strict Log-Subadditivity for Overpartition Rank, Helen W.J. Zhang and Ying Zhong, 2023
  • Higher order log-concavity of the overpartition function and its consequences, Gargi Mukherjee, Helen W.J. Zhang and Ying Zhong, 2023
  • Further generalizations of some Hecke type identities, Helen W.J. Zhang, 2022
  • Further extensions of some truncated Hecke type identities, Helen W.J. Zhang, 2022
  • Dyson's rank, overpartitions and universal mock theta functions, Helen W.J. Zhang, 2021
  • Inequalities for the overpartition function, Edward Y.S. Liu and Helen W.J. Zhang, 2021
  • (q,c)-Derivative operator and its applications, Helen W.J. Zhang, 2020
  • Rank differences for overpartitions modulo 6, Bin Wei and Helen W.J. Zhang, 2020
  • M_2-Ranks of overpartitions modulo 6 and 10, Helen W.J. Zhang, 2020
  • Ranks of overpartitions modulo 6 and 10, Kathy Q. Ji, Helen W.J. Zhang and Alice X.H. Zhao, 2018
Awards
  • 2023 Second Prize in Hunan Province Graduate Course Ideological and Political Classroom Teaching Competition
  • 2023 Third Prize in Hunan Province Higher Education Ideological and Political Teaching Competition
  • 2022 First Prize in Hunan University Teaching Skills Competition
  • 2021 Teaching Excellence Award at Hunan University
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