教育背景

2004.09--2009.07，中国科学院数学与系统科学研究院，应用数学，博士

2000.09--2004.06，南京大学，数学与应用数学，学士

学术经历

2019.09--2021.09，美国明尼苏达大学，数学学院，访问学者 (合作：Peter J. Olver教授)

2009.08--现在，上海理工大学，副教授

人才计划

2019乘风计划，上海理工大学

科研项目

国家自然科学基金青年项目(11701370, 2018/01-2020/12)基于Groebner基理论和距离不变量方法的指标多项式标准型及其应用研究，主持

上海市自然科学基金(15ZR1401600, 2015/01-2017/12)基于自适应的多阶段差分进化计算研究，参与

代表性论文（*为通讯）

1. Liu J*, Ni F. Distance invariant method for normalization of indexed differentials. Journal of Symbolic Computation, 2021, 104: 256-275.

2. Liu J, Ni F*, Song S H, et. al. Normalization of indexed differentials by extending Gröbner basis theory. Journal of Systems Science and Complexity, 2022, doi: 10.1007/s11424-021-0302-2.

3. Liu J*, Ni F. An extension of Gröbner basis theory to indexed polynomials without eliminations. Journal of Systems Science and Complexity, 2020, 33: 1708-1718. 

4. Liu J, Ni F*, Du M J, et.al. Upper bounds on the node numbers of hidden layers in MLPs. Neural Network World, 2021, 31 (4), 297-309.

5. Liu J. Block distance invariant method for monoterm canonicalization of Riemann tensor

polynomials. ACM Communications in Computer Algebra, 2019, 53(3): 134-137.

6. Liu J. Normalization in Riemann tensor polynomial ring. Journal of Systems Science and Complexity, 2018, 31(2): 569-580

7. Wang D S*, Liu J*. Integrability aspects of some two-component KdV systems. Applied Mathematics Letters, 2018, 79: 211-219 (ESI Highly Cited Paper, 2019)

8.Wang D S*, Liu J*, Wang L Z. Non-autonomous matter-wave solitons in hybrid atomic 

molecular Bose–Einstein condensates with tunable interactions and harmonic potential. Physics Letters A, 2018, 382: 799-805

9.Liu J, Wang D S*, Yin Y B. Lie symmetry analysis of the inhomogeneous Toda lattice 

equation via semi-discrete exterior calculus. Communications in Theoretical Physics, 2017, 67: 643–647 

10.Liu J. Normalization of indexed differentials based on function distance invariants. CASC 

2017, Lecture Notes in Computer Science, 10490: 285-300 

11.Wang D S, Liu J, Zhang Z F*. Integrability and equivalence relationships of six integrable 

coupled Korteweg–de Vries equations. Mathematical Methods in the Applied Sciences, 2016, 39: 3516-3530

12.Liu J*, Li H B, Zhang L X. A complete classification of canonical forms of a class of 

Riemann tensor indexed expressions and its applications in differential geometry (in Chinese). Scientia Sinica Mathematica, 2013, 43: 399–408

13.Liu J*, Li H B, Cao Y H. Simplification and normalization of indexed differentials involving 

coordinate transformation. Science China Series A, 2009, 52(10): 2266–2286 

学术任职

中国数学会计算机数学专业委员会，委员

上海高校工程训练教育协会管理工程分会，副秘书长

美国《数学评论》 评论员