Kathy Qing Ji ( )'s Homepage

 

Address

Center for Applied Mathematics
Tianjin University
Tianjin 300072
P.R. China

Email: kathyji@tju.edu.cn

CV



Research Interests


q-Series

Integer Partitions

Publications


1.     Thomas Y. He, Kathy Q. Ji, Allison Y.F. Wang and Alice X.H. Zhao, An overpartition analogue of the Andrews-Gӧllnitz-Gordon theorem, submitted. [pdf]

2.     William Y.C. Chen, Kathy Q. Ji and Erin Y.Y. Shen, k-marked Dyson symbols and congruences for moments of cranks, submitted. arXiv:1312.2080. [pdf]

3.     William Y.C. Chen, Kathy Q. Ji and Wenston J.T. Zang, Nearly equal distributions of the rank and the crank of partitions, In: G.E. Andrews and F. Garvan (eds.), Analytic Number Theory, Modular Forms and q-Hypergeometric Series, Springer Proceedings in Mathematics & Statistics 221. [pdf]

4.     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. [pdf]

5.     Kathy Q. Ji and Alice X.H. Zhao, The crank moments weighted by the parity of cranks, Ramanujan J. 44 (2017) 631--640. [pdf]

6.     Kathy Q. Ji, Byungchan Kim and Jang Soo Kim, Combinatorial proof of a partial theta function identity of Warnaar, Int. J. Number Theory 12 (2016) 1475--1482. [pdf]

7.     William Y.C. Chen, Kathy Q. Ji, and Wenston J.T. Zang, The spt-crank for ordinary partitions, J. Reine Angew. Math. 711 (2016), 231--249. [pdf]

8.     Thomas Y. He, Kathy Q. Ji, and Wenston J.T. Zang, Bilateral truncated Jacobi's identity, Europ. J. Combin. 51 (2016) 255--267.[pdf]

9.     Kathy Q. Ji and Alice X.H. Zhao, The Bailey transform and Hecke-Rogers identities for the universal mock theta functions, Adv. Appl. Math. 65 (2015) 65--86. [pdf]

10.  William Y.C. Chen, Kathy Q. Ji, and Wenston J.T. Zang, Proof of the Andrews-Dyson-Rhoades conjecture on the spt-crank, Adv. Math. 270 (2015) 60--96. [pdf]

11.  William Y.C. Chen, Kathy Q. Ji and Erin Y.Y. Shen, On the positive moments of ranks of partitions, Electron. J. Combin. 21(1) (2014) P1.29. [pdf]

12.  William Y.C. Chen, Kathy Q. Ji, Hai-Tao Jin, and Erin Y.Y. Shen, On the number of partitions with designated summands, J. Number Theory 133 (2013) 2929--2938. [pdf]

13.  William Y. C. Chen, Kathy Q. Ji, and Eric H. Liu, Partition identities for Ramanujan's third order mock theta functions, Quart. J. Math. 63 £¨2£©(2012) 353--365. [pdf]

14.  Kathy Q. Ji, The combinatorics of k-marked Durfee symbols, Trans. Amer. Math. Soc. 363 (2011) 987--1005.[pdf]

15.  Guo-Niu Han and Kathy Q. Ji, Combining hook length formulas and BG-ranks for partitions via the Littlewood decomposition, Trans. Amer. Math. Soc. 363 (2011) 1041--1060. [pdf]

16.  William Y. C. Chen, Henry Y. Gao, Kathy Q. Ji, and Martin Y. X. Li, A unification of two refinements of Euler's partition theorem, Ramanujan J. 23 (2010) 137--149. [pdf]

17.  William Y. C. Chen, Kathy Q. Ji, and Albert J. W. Zhu, On Stanley¡¯s partition function, Electr. J. Combin. 17 (2010) #N31. [pdf]

18.  Kathy Q. Ji, A combinatorial proof of Andrews' smallest parts partition function, Electr. J. Combin. 15 (2008) N12. [pdf]

19.  Kathy Q. Ji and H.S. Wilf, Extreme palindromes, Amer. Math. Monthly 115 (5) (2008) 447--451. [pdf]

20.  William Y. C. Chen and Kathy Q. Ji, Weighted forms of Euler¡¯s theorem, J. Combin. Theory A 114 (2007) 360--372. [pdf]

21.  William Y. C. Chen, Kathy Q. Ji, and H.S. Wilf, BG-ranks and 2-cores, Electr. J. Combin. 13 (1) (2006) N18. [pdf]

Teaching


1.     Calculus I II (Fall 2007, Spring 2008, Fall 2010, Fall 2013)

2.     Enumerative Combinatorics £¨Fall 2009, Fall 2011, Fall 2012)

Textbooks: Enumerative Combinatorics I, II (Richard Stanley, 1997, 1999)

3.     Number Theory (Spring 2013)

Textbook: Number Theory in the Spirit of Ramanujan (Bruce C. Berndt, 2007)

4.     Integer Partitions (Spring 2014, Spring 2015)

Textbook: The Theory of Partitions (George E. Andrews, 1998)

Students


1.     Alice Xiao Hua Zhao

2.     Thomas Yao He