姓 名 程纪鹏 性 别 男
出生年月 1983年7月 籍贯 临沂
民 族 汉族 政治面貌 中共党员
最后学历 博士研究生 最后学位 理学博士
技术职称 副教授 导师类别 硕导
行政职务 无 Email chengjp@cumt.edu.cn
工作单位 理学院 邮政编码 221116
通讯地址 江苏省徐州市大学路1号矿大南湖校区理学院
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个人简介
程纪鹏，男，副教授，博士，毕业于中国科学技术大学，荣获中科院院长优秀奖。研究方向数学物理、可积系统，目前主要研究KP、Toda以及Kac-Wakimoto可积系统。主持国家自然科学基金两项：青年基金和数学天元基金，主持校青年科技基金两项，主持启航计划一项，参与多项国家级、省级、校级科研项目。在J Math Phys, J Geom Phys, Sci China Math, J Math Anal Appl等国内外重要SCI杂志发表论文21篇。联系方式：chengjp@cumt.edu.cn

获奖、荣誉称号
2011年，中科院院长优秀奖
2010年，求是研究生奖学金

研究领域
我的研究领域是数学物理、可积系统，主要研究KP和Toda相关可积系统的附加对称、平方本征函数对称、哈密顿结构、规范变换求解等问题，该研究方向与李代数、代数几何、微分几何和微分方程等领域具有密切关系。目前在日本东京大学研究Kac-Wakimoto可积系统。该方向入门相对比较容易，数学分析和高等代数即可，但要做深入需要进一步的数学课程做基础。

科研项目
2015.1--2017.12 主持 校青年基金A类 10万
2014.1--2016.12 主持 国家自然科学基金青年基金项目 22万
2013.1--2013.12 主持 国家自然科学基金数学天元基金项目 3万
2012.1- 2014.12 主持 校青年基金A类 10万
2011.9- 2014.9 主持 人才引进项目 8万
2011.9- 2013.9 主持 启航计划项目 3万

发表论文
[1] Jipeng Cheng, Jingsong He and Sen Hu. The “ghost” symmetry of the BKP hierarchy. Journal of Mathematical Physics 51, 053514(2010) (SCI).
[2] Jipeng Cheng, Shikun Wang, Ke Wu and Weizhong Zhao. Fermionic covariant prolongation structure theory for supernonlinear evolution equation. Journal of Mathematical Physics 51, 093501 (2010)(SCI).
[3] Kelei Tian, Jingsong He, Jipeng Cheng and Yi Cheng. Additional symmetries of constrained CKP and BKP hierarchies. Science China Mathematics 54(2010) 257-268 (SCI).
[4] Jipeng Cheng, Jingsong He and Lihong Wang. A general formula of the flow equations for the Harry-Dym hierarchy. Communications in Theoretical Physics 155 (2011) 193-198(SCI).
[5] Jipeng Cheng, Lihong Wang and Jingsong He. Recursion operators for KP, mKP and Harry-Dym Hierarchies. Journal of Nonlinear Mathematical Physics 18 (2011) 161-178(SCI).
[6] Jipeng Cheng, Kelei Tian and Jingsong He. The additional symmetries for the BTL and CTL hierarchies. Journal of Mathematical Physics 52, 053515 (2011) (SCI).
[7] Jipeng Cheng, Ye Tian, Zhaowen Yan and Jingsong He. The generalized additional symmetries of the two-Toda lattice hierarchy. Journal of Mathematical Physics 54, 023513 (2013) (SCI).
[8] Maohua Li, Jipeng Cheng, Chuanzhong Li and Jingsong He. The recursion operators of the BKP hierarchy and the CKP hierarchy. 英文版见arXiv:1201.1612，中文版《中国科学:数学》43 (2013) 499-514.
[9] Jipeng Cheng and Jingsong He. On the squared eigenfunction symmetry of the Toda lattice hierarchy. Journal of Mathematical Physics 54, 023511(2013)( SCI).
[10] Jipeng Cheng and Jingsong He. The squared eigenfunction symmetries for the BTL and CTL hierarchies. Communications in Theoretical Physics 59 (2013) 131–136(SCI).
[11] Maohua Li, Jipeng Cheng and Jingsong He. The gauge transformation of the constrained semi-discrete KP hierarchy. Modern Physics Letters B 27 (2013) **(SCI).
[12] Jipeng Cheng, Maohua Li and Jingsong He. The Virasoro action on the tau function for the constrained discrete KP hierarchy. Journal of Nonlinear Mathematical Physics 20(2013) 529-538 (SCI).
[13] Jipeng Cheng and Jingsong He. The applications of the gauge transformation for the BKP hierarchy. Journal of Mathematical Analysis and Applications 410 (2014) 989–1001 (SCI).
[14] Jipeng Cheng and Jingsong He. The “ghost" symmetry in the CKP hierarchy. Journal of Geometry and Physics 80 (2014) 49-57 (SCI).
[15] Jipeng Cheng, Jinzheng Wang and Xingyong Zhang. The gauge transformation of the q- deformed modified KP hierarchy. Journal of Nonlinear Mathematical Physics 21 (2014) 533-542 (SCI).
[16] Maohua Li, Jipeng Cheng and Jingsong He. The compatibility of additional symmetry and gauge transformations for the constrained discrete Kadomtsev-Petviashvili hierarchy. Journal of Nonlinear Mathematical Physics 22 (2015) 17-31 (SCI).
[17] Chuanzhong Li, Jipeng Cheng, Kelei Tian, Maohua Li and Jingsong He. Ghost symmetry of the discrete KP hierarchy. Accepted by Monatshefte für Mathematik 2015 (SCI).
[18] Jipeng Cheng and Jingsong He. The integral type gauge transformation and the additional symmetry for the constrained KP hierarchy. Acta Mathematica Scientia 2015, 35 B (5): 1111 –1121. (SCI)
[19] Jipeng Cheng and Jingsong He. Miura and auto-Backlund transformations for the discrete KP and mKP hierarchies and their constrained cases. Submitted.
[20] Jipeng Cheng and Jingsong He. The full Virasoro symmetry for the constrained discrete KP hierarchy. Submitted.
[21] Maohua Li, Jipeng Cheng and Jingsong He. The successive application of the gauge transformation for the modified semi-discrete Kadomtsev-Petviashvili hierarchy. Submitted.

指导学生情况
指导硕士研究生3名