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董井成

领域:新一代信息技术产业 学校:南京信息工程大学职称:教授

融合范畴、Hopf代数、量子群的表示...

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教育背景

(1) 2006.09;2010.10, 扬州大学, 基础数学, 博士(2) 2001.09;2004.07, 扬州大学, 基础数学, 硕士(3) 1997.09–2001.07, 扬州大学, 数学教育, 学士

工作经历

(1) 2018.07-至今, 南京信息工程大学, 数学与统计学院, 教授(2) 2014.02-2015.02, 美国南加州大学, 数学系, 访问学者(3) 2004.06-2018.06, 南京农业大学, 工学院基础课部, 讲师、副教授、教授(4) 2011.03-2014.01, 东南大学, 数学系, 博士后

项目课题经历

1. 南京信息工程大学科研启动费(编号:2018R039):Morita等价意义下融合范畴的分类研究, 2018/10-2021/092. 国家自然科学基金青年项目(编号:11201231):半单Hopf代数的结构和分类,2013/01-2015/12 3. 中国博士后基金(编号:2012M511163): 可解融合范畴的分类及其在半单Hopf代数分类中的应用,2012/01-2014/03 4. 江苏省博士后基金(编号:1102041C):辫子融合范畴及其应用, 2011/09-2013/03 5. 中央高校基本业务费(自主创新项目)(编号:KYZ201564:): 融合范畴的Morita等价,2015/01-2017/12 (二)参与的项目1. 国家自然科学基金面上项目(编号:11571173):弱乘子(Hom-)Hopf代数上Galois理论和同调理论研究,2016/01-2019/12 2. 国家自然科学基金面上项目(编号:11371088):有界型量子超群胚上的Pontryagin对偶、Galois对象和张量范畴表示,2014/01-2017/12 3. 国家自然科学基金面上项目(编号:10771183):一类量子群上模代数的代数分类和几何分类,2008/02-2009/12

论文、成果、著作等

SCI检索论文18. JingchengDong, Liangyuan Zhang, Li Dai, Non-trivially graded self-dual fusioncategories of rank 4, Acta Mathematica Sinica, English Series, 34(2): 275–287,2018.17. JingchengDong, Sonia Natale, On the classification of almost square-free modularcategories, Algebras and Representation Theory, 21(6): 1353-1368, 2018.16. JingchengDong, Braided Zq-extensions of pointed fusion categories, Proceedings ofthe American Mathematical Society145(3): 995-1001, 2017.15. JingchengDong, Libin Li, and Li Dai, Integral almost square-free modular categories,Journal of Algebra and Its Applications16(5): 1750104, 14pages, 2017.14. JingchengDong, Henry Tucker, Integral modular categories of Frobenius-Perrondimension, Algebras and Representation Theory, 19(1): 33-46, 2016. 13. JingchengDong, Li Dai, Existence of Tannakiansubcategories and its applications, Communications in Algebra, 44(4) : 1767-1782, 2016. 12. Li Dai, Jingcheng Dong, On Kaplansky’s sixth conjecture, Rendiconti delSeminario Matematico della Università di Padova,135(1): 1-20, 2016. 11. JingchengDong, Sonia Natale, Leandro Vendramin, Frobenius property for fusioncategories of small integral dimension,Journal of Algebra and Its Applications, 14(2): 1550011, 17pages, 2015. 10. JingchengDong, Li Dai, Semisimple Hopf algebra of dimension, Mathematica Slovaca,65(1): 53-62, 2015. 9. Li Dai, Jingcheng Dong, On semisimple Hopf algebras of dimension, CanadianMathematical Bulletin, 57(2): 264-269,2014. 8. JingchengDong, Li Dai, On integral fusion categories with low-dimensional simpleobjects, Communications in Algebra,42(11): 4955-4961, 2014. 7. JingchengDong, Huixiang Chen, Almost split sequences of the quantum double of afinite group, Mathematical Notes, 95(3):346-358, 2014. 6. JingchengDong, Huixiang Chen, The representations of quantum double of dihedralgroups, Algebra Colloquium, 20(1):95-108, 2013. 5. JingchengDong, Shuanhong Wang, On semisimple Hopf algebras of dimension , Journalof Algebra, 375(1):97-108, 2013. 4. JingchengDong, Structure theorems for semisimple Hopf algebras of dimension,Communications in Algebra, 40(12): 4673-4678, 2012. 3. JingchengDong, Structure of semisimple Hopf algebras of dimension, Communicationsin Algebra, 40(3): 795-806, 2012. 2. JingchengDong, Li Dai, Further results on semisimple Hopf algebras of dimension,Revista de la Unión Matemática Argentina, 53(2): 97-112, 2012. 1. JingchengDong,Grothendieckring of quantum double of finite groups.Czechoslovak Mathematical Journal, 60(135): 869-879, 2010.

专利、著作版权等

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