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个人简介

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 荣誉 2020年上海理工大学五四青年团队奖章

研究领域

符号计算,非线性系统,深度学习

近期论文

查看导师新发文章 (温馨提示:请注意重名现象,建议点开原文通过作者单位确认)

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

学术兼职

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

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