PEOPLE
Algebra and Number Theory
Basic Information
Algebra and Number Theory
Associate Professor
jzhan@tongji.edu.cn
Han Jianzhi
研究方向

 

Research Interests

  • Vertex operator algebras

  • Infinite dimensional Lie algebras

教育背景

2006.09-2011.09, 中国科学技术大学数学科学学院, 博士

2009.09-2011.09, University of Californian, Santa Cruz, 联合培养博士

工作经历

2018.01-至今, 同济大学数学科学学院, 副教授;

2014.08-2017.12, 同济大学数学科学学院, 助理教授;

2012.07-2014.07, 四川大学数学学院, 博士后;

2011.11-2012.06, 四川大学数学学院, 访问学者;

论文与出版物
  1. Han, Jianzhi; Bimodules and universal enveloping algebras associated to VOAs. Israel J. Math., accepted.

  2. Han, Jianzhi; Xiao, Yukun; Associative algebras and universal enveloping algebras associated to VOAs. J. Algebra 564 (2020), 489–498.

  3. Chen, Haibo; Han, Jianzhi; A class of simple non-weight modules over the Virasoro algebra. Proc. Edinb. Math. Soc. (2) 63 (2020), 956–970.

  4. Chen, Guobo; Han, Jianzhi; Su, Yucai; Some modules over Lie algebras related to the Virasoro algebra. J. Math. Soc. Japan, 72 (2020), no. 1, 61–72.

  5. Chen, Guobo; Cheng, Dejia; Han, Jianzhi; Su, Yucai; Classification of irreducible weak modules over Virasoro vertex operator algebras. Internat. J. Math. 30 (2019), no. 11,1950054.

  6. Chen, Qiufan; Han, Jianzhi; Non-weight modules over the affine-Virasoro algebra of type A1. J. Math. Phys. 60 (2019), no. 7, 071707, 9 pp.

  7. Chen, Haibo; Han, Jianzhi; Su, Yucai; Yue, Xiaoqing; Two classes of non-weight modules over the twisted Heisenberg–Virasoro algebra.Manuscripta Math. 160 (2019), no. 1-2, 265–284.

  8. Chen, Haibo; Fan, Guangzhe; Han, Jianzhi; Su, Yucai; Structures of Generalized Loop Schrödinger–Virasoro algebras. Mediterr. J. Math. 15 (2018), no. 3, 15:125.

  9. Dai, Xiansheng; Han, Jianzhi; Loop Virasoro Lie conformal superalgebra. Linear Multilinear Algebra 66 (2018), no. 1, 131–146.

  10. Fa, Huanxia; Han, Jianzhi; Li, Junbo; Irreducible weight modules with a finite-dimensional weight space over the twisted N=1 Schrödinger-Neveu-Schwarz algebra. Algebra Colloq. 24 (2017), no. 4, 697–704.

  11. Fa, Huanxia; Han, Jianzhi; Li, Junbo; Classification of indecomposable modules of the intermediate series over the twisted N=1 Schrödinger-Neveu-Schwarz algebra. Comm. Algebra 45 (2017), no. 8, 3310–3319.

  12. Han, Jianzhi; Chen, Qiufan; Su, Yucai; Modules over the algebra Vir(a,b). Linear Algebra Appl. 515 (2017), 11–23.

  13. Chen, Haibo; Han, Jianzhi; Su, Yucai; A class of simple weight modules over the twisted Heisenberg-Virasoro algebra. J. Math. Phys. 57 (2016), no. 10, 101705, 7 pp.

  14. Chen, Haibo; Han, Jianzhi; Su, Yucai; Xu, Ying; Loop Schrödinger-Virasoro Lie conformal algebra. Internat. J. Math. 27 (2016), no. 6, 1650057, 17 pp.

  15. Fa, Huanxia; Han, Jianzhi; Yue, Xiaoqing; The derivation algebra and automorphism group of the twisted N=2 superconformal algebra. Algebra Colloq. 23 (2016), no. 3, 443–454.

  16. Han, Jianzhi; Ai, Chunrui; Three equivalent rationalities of vertex operator superalgebras. J. Math. Phys. 56 (2015), no. 11, 111701, 7 pp.

  17. Dai, Xiansheng; Han, Jianzhi; Su, Yucai; Structures of generalized loop super-Virasoro algebras. Internat. J. Math. 26 (2015), no. 7, 1550041, 15 pp.

  18. Chen, Qiufan; Han, Jianzhi; Su, Yucai; Structures of not-finitely graded Lie algebras related to generalized Virasoro algebras. Comm. Algebra 43 (2015), no. 7, 3033–3049.

  19. Dong, Chongying; Han, Jianzhi; On rationality of vertex operator superalgebras. Int. Math. Res. Not. IMRN 2014, no. 16, 4379–4399.

  20. Chen, Qiufan; Han, Jianzhi; Su, Yucai; Lie bialgebras of not-finitely graded Lie algebras related to generalized Virasoro algebras. Internat. J. Math. 25 (2014), no. 5, 1450049, 11 pp.

  21. Han, Jianzhi; Constructing tensor products of modules for C2-cofinite vertex operator superalgebras. Front. Math. China 9 (2014), no. 3, 477–494.

  22. Ai, ChunRui; Han, JianZhi; Regularity of vertex operator superalgebras. Sci. China Math. 57 (2014), no. 5, 1025–1032.

  23. Dong, Chongying; Han, Jianzhi; Some finite properties for vertex operator superalgebras. Pacific J. Math. 258 (2012), no. 2, 269–290.

  24. Han, Jianzhi; Li, Junbo; Su, Yucai; Lie bialgebra structures on the Schrödinger-Virasoro Lie algebra. J. Math. Phys. 50 (2009), no. 8, 083504, 12 pp.

科研项目

2016.01-2018.12, 《顶点算子代数的诱导模理论及其扩张》, 国家自然科学基金青年基金, 主持;

2015.01-2017.12, 《顶点算子代数的orbifold理论》, 上海市教委科研创新项目, 主持;

2013.09-2014.08, 《顶点算子代数的有理性》, 博士后基金一等, 主持;


获奖荣誉

教育部高等学校科学研究优秀成果奖:

自然科学奖二等奖, 《李(超)代数、顶点算子代数表示理论的若干问题 》, 第三完成人