纪奎
姓 名： 纪奎
职称/职务：教授
E - mail: jikuikui@163.com jikui@hebtu.edu.cn
研究领域： 泛函分析
来校时间：2008年
个人简介：
1981年4月23日出生，男，汉族，山东省郯城县人。理学博士，博士生导师。
详细介绍
教育背景：
博士，算子理论与算子代数，河北师范大学，2005-2008
硕士，算子理论与算子代数，河北工业大学，2002-2005
学士，数学，聊城大学，1998-2002
访问经历：
访问****，菲尔兹研究所（加拿大）,2007 访问****，波多黎各大学（美国），2009
国家公派访问****，IndianInstitute of Science (印度); 2012
教学情况：
本科生课程：《高等数学》、《数学分析》、《复变函数》
研究生课程：《算子理论》、《C*代数》、《复几何》
科研情况：
1：科研项目
(1)国家自然科学基金青年基金：算子代数的分类，批准号:**,2010-2012（已结题）；主持人
(2)国家自然科学基金面上项目：曲率，第二基本形式与几何算子的相似性的研究，批准号:**，2015-2018（已结题）主持人；
(3)高等学校全国优秀博士学位论文作者专项资金（已结题）主持人；
(4)河北省****基金；拟齐次曲线的相似分类，批准号：A,2016-2018（已结题）主持人；
(5)河北省2014年青年拔尖人才;复几何在算子代数中的应用，批准号BJ**，2015-2017,(已结题)主持人；
(6)国家自然科学基金重点项目：算子代数中的几何与分类理论,批准号** (在研) 参与人；
(7)国家自然科学基金优秀青年基金项目：算子理论与算子代数，批准号：**，2020-2022（在研）主持人；
2：学术论文：
(1) Jiang, Chunlan, Guo, Xianzhou, and Ji, Kui., K-group and similarity classification of operators. J. Funct. Anal. 225 ( 2005), n o.1 , 167--192.
(2) Jiang, Chunlan and Ji, Kui. Similarity classification of holomorphic curves. Adv. Math. 215 ( 2007), n o.2 , 446--468.
(3) He, Hua and Ji, Kui., Strongly irreducible decomposition and similarity classification of operators. Illinois .J. Math 51 ( 2007) , n o.2 , 409—428.
(4) Ji, Kui and Jiang, Chunlan, A complete classification of AI algebra with the ideal property, Canada J. Math.63, No.2,381-412 (2011).
(5) Ji, Kui, Similarity classification and properties of some extended holomorphic curves. Integral Equations Operator Theory 69 (2011), no.1,133–148.
(6) Jiang, Chunlan; Ji, Kui .Theory of strongly irreducible operators and its applications. Adv. Math.《数学进展》 (China) 40 (2011), no. 4, 385–392.
(7) Ji Kui, Shi Rui, Similarity of multiplication operators on the Sobolev disk algebra. Acta Math. Sin. (Engl. Ser.) 29 (2013), no. 4, 789–800.
(8) Ji Kui, On a generalization of B_1(\Omega) on C*-algebras, Proc. Indian Acad. Sci. Math. Sci. Vol 124. N0.2. May (2014), 243-253.
(9) Ji, Kui, Jiang, Chunlan, Dinesh Kumar Keshari, Gadadhar Misra, Flag structure for operators in the Cowen-Douglas class, C.R.Acad.Sci. Paris.Ser. I, 352 (2014) 511-514.
(10) Hou, Yingli and Ji, Kui On the extended holomorphic curves on C*-algebras. Oper. Matrices 8 (2014), no. 4, 999–1011.
(11) Dai, Hong; Hou, Yingli and Ji, Kui A note on curvature and similarity of some Cowen-Douglas operators. J. Math. Anal. Appl. 444 (2016), no. 1, 167–181.
(12) Hou, Yingli; Ji, Kui and Kwon, Hyun-Kyoung The trace of the curvature determines similarity. Stud. Math. 236, No. 2, 193-200 (2017).
(13) Ji, Kui, Jiang, Chunlan, Dinesh Kumar Keshari, Gadadhar Misra, Rigidity of the flag structure for a class of Cowen-Douglas operators. J. Funct. Anal. 272 (2017), no. 7, 2899–2932
(14) Jiang, Chunlan, Ji, Kui, Gadadhar Misra, Classification of quasi-homogeneous holomorphic curves and operators in the Cowen-Douglas class. J. Funct. Anal. 273 (2017), no. 9, 2870–2915.
(15) Ji, Kui. Curvature formulas of holomorphic curves on C*-algebras and Cowen-Douglas operators. Complex Anal. Oper. Theory 13 (2019), no. 4, 1609–1642.
(16)Ji, Kui Jaydeb Sarkar, Similarity of quotient Hilbert modules in the Cowen–Douglas class, European Journal of Mathematics, 5 (2019), no. 4, 1331–1351.
(17) Tian, Liang, Guo, Wei and Ji, Kui, A note on a subclass of Cowen-Douglas operators, Acta Mathematica Sinica, English Series, 35 (2019), no. 11, 1795–1806.
(18) Ji, Kui, Hyun-Kyoung Kwon, and Xu, Jing, $N$-hypercontractivity and similarity of Cowen-Douglas operators, 592 (2020), 20–47.
(19) Jiang, Chunlan, Ji, Kui, Integral curvature and similarity of Cowen- Douglas Operators, Operator Theory Advances and Applications (Special issue dedicated to R. G. Douglas), To appear.
(20)Ma, Zhenhua, Ji, Kui and Li, Yucheng, Compact operators under Orlicz functions, To appear in Indian Journal of Pure and Applied Mathematics.
(21)Jiang, Chunlan, Ji, Kui and Dinesh Kumar Keshari, Geometric Similarity invariants of Cowen-Douglas Operators, arXiv:1901.03993.
(22) Jiang, Chunlan, Ji, Kui and Wu, Jinsong, Similarity Invariants of Essentially normal Cowen-Douglas Operators and Chern Polynomials , arXiv:1910.10538.
(23)Ji, Kui, Hyun-Kyoung Kwon, Jaydeb Sarkar, and Xu, Jing, A subclass of the Cowen-Douglas class and similarity, arXiv:1912.06861.
(24) Hou, yingli, Ji, Kui and Linlin, Zhao, Factorization of generalized holomorphic curve and homogeneity of operators, submitted
(25)Ji, Kui and Ji, Shanshan, A Geometric Approach to the Uniqueness of the Irreducible Decompositions of Operators up to Unitary Equivalence, submitted.
(26)Ji, Kui and Ji, Shanshan, The metrics of Hermitian holomorphic vector bundles and the similarity of Cowen-Douglas operators, submitted.