詹兴致

数学教授，博士生导师

办公室：数学楼 323
电子邮件：zhan@math.ecnu.edu.cn
通讯地址： 上海东川路500号，华东师范大学数学系（200241）
简历   |   科研   |   教学   |   我喜欢的名言   |   我喜欢的定理
简历
  • 受教育背景
    • 大专毕业：荆州师专，1986年7月
    • 硕士学位：华东师范大学，1993年7月
    • 博士学位：复旦大学，1996年7月
  • 工作经历
    • 1996.07 - 2000.02， 北京大学，北京，博士后，副教授
    • 2000.02 - 2002.02， 东北(Tohoku)大学，仙台，日本学术振兴会特别研究员
    • 2002.02 - 2003.02， 北京大学，北京，副教授
    • 2003.02 - 2005.10， 华东师范大学，上海，教授
    • 2005.10 - 2006.08， 香港科技大学，香港，访问学者
    • 2006.08 -                   华东师范大学，上海，教授
  • 访问经历
    访问过美国的斯坦福大学(旧金山－圣何塞)、犹他大学(盐湖城)、威廉和玛丽学院(威廉斯堡)、
    华盛顿、威斯康星大学(麦迪逊)、北卡罗林那州立大学(Raleigh)，印度统计研究所(新德里)，
    日本的京都大学、东京大学、大阪教育大学、北星学园大学(札幌)、山形大学、九州大学(福冈)、
    日本大学(东京)， 希腊的雅典、拉夫普里奥，以色列的Technion-Israel工学院(海法)，韩国的浦项科技大学、
    梨花女子大学(首尔)、国立庆北大学(大邱)、成均馆大学(首尔)，加拿大的Regina大学，
    波兰科学院数学研究所(华沙)，意大利国际理论物理中心(Trieste)，新加坡国立大学，南洋理工大学，
    澳大利亚的迪肯大学（墨尔本）、悉尼科技大学。
科研  
  • 研究兴趣
    • 图论：最长路，最长圈，生成树，距离，直径，半径，中心， 外围，独立数，支配数，连通度，着色数
    • 矩阵论：奇异值，特征值, 酉不变范数, 非负矩阵, 符号模式, 0-1 矩阵， 矩阵不等式, 算子单调函数, 酉（正交）轨道, 部分矩阵的填充
  • 论著
    • 书
      • Matrix Inequalities, Lecture Notes in Mathematics 1790, Springer-Verlag, Berlin, 2002. 封面
      • 矩阵论, “现代数学基础” 丛书第6本, 高等教育出版社, 北京, 2008年6月. 封面
      • Matrix Theory, Graduate Studies in Mathematics 147, American Mathematical Society, Providence, 2013. 封面
    • 论文
      • On a question of P. R. Halmos,
        Linear and Multilinear Algebra 39 (1995), no.3, 255--258
      • Computing the extremal positive definite solutions of a matrix equation,
        SIAM J. Sci. Comput. 17 (1996), no. 5, 1167--1174
      • (with J. Xie) On the matrix equation X+A^TX^{-1}A=I,
        Linear Algebra Appl. 247 (1996), 337--345
      • Inequalities for the singular values of Hadamard products,
        SIAM J. Matrix Anal. Appl. 18 (1997), no. 4, 1093--1095
      • (with E. Jiang) Lower bounds for the spread of a Hermitian matrix,
        Linear Algebra Appl. 256 (1997), 153--163
      • Inequalities involving Hadamard products and unitarily invariant norms,
        Adv. in Math. (China) 27 (1998), no. 5, 416--422
      • Inequalities for unitarily invariant norms,
        SIAM J. Matrix Anal. Appl. 20 (1998), no. 2, 466--470
      • (with T. Ando) Norm inequalities related to operator monotone functions,
        Math. Ann. 315 (1999), no. 4, 771--780
      • (with R. A. Horn) Inequalities for C-S seminorms and Lieb functions,
        Linear Algebra Appl. 291 (1999), 103--113
      • Norm inequalities for Cartesian decompositions,
        Linear Algebra Appl. 286 (1999), 297--301
      • Singular values of differences of positive semidefinite matrices,
        SIAM J. Matrix Anal. Appl. 22 (2000), no.3, 819--823
      • Some research problems on the Hadamard product and singular values of matrices,
        Linear and Multilinear Algebra 47 (2000), no.2, 191--194
      • (with R. Bhatia) Compact operators whose real and imaginary parts are positive,
        Proc. Amer. Math. Soc. 129 (2001), no.8, 2277--2281
      • Linear preservers that permute the entries of a matrix,
        Amer. Math. Monthly 108 (2001), no.7, 643--645
      • Span of the orthogonal orbit of real matrices,
        Linear and Multilinear Algebra 49 (2001), 337--346
      • (with F. Ding) On the unitary orbit of complex matrices,
        SIAM J. Matrix Anal. Appl. 23 (2001) no.2, 511--516
      • (with F. Hiai) Inequalities involving unitarily invariant norms and operator monotone functions,
        Linear Algebra Appl. 341(2002), 151--169
      • The sharp Rado theorem for majorizations,
        Amer. Math. Monthly 110(2003), 152--153
      • (with R. Bhatia) Norm inequalities for operators with positive real part,
        J. Operator Theory 50(2003), 67--76
      • On some matrix inequalities,
        Linear Algebra Appl. 376(2004), 299--303
      • (with F. Hiai) Submultiplicativity vs subadditivity for unitarily invariant norms,
        Linear Algebra Appl. 377(2004), 155--164
      • On singular numbers of tau-measurable operators,
        J. of Shanghai University, Special issue dedicated to the 70th birthday of Professor Erxiong Jiang, 8(2004), no.4, 444--447
      • (with Q. Hu and Y. Li) Possible numbers of ones in 0-1 matrices with a given rank,
        Linear and Multilinear Algebra 53(2005), no.6, 435--443 pdf file
      • Formulae for sums of consecutive square roots,
        Math. Intelligencer 27(2005), no.4, 4--5 pdf file
      • Extremal eigenvalues of real symmetric matrices with entries in an interval ,
        SIAM J. Matrix Anal. Appl. 27(2006), no. 3, 851--860 pdf file
      • Completion of a partial integral matrix to a unimodular matrix,
        Linear Algebra Appl. 414(2006), 373--377 pdf file
      • (with L. Qiu) On the span of Hadamard products of vectors,
        Linear Algebra Appl. 422(2007), 304--307 pdf file
      • Extremal numbers of positive entries of imprimitive nonnegative matrices,
        Linear Algebra Appl. 424(2007), 132--138 pdf file
      • Open problems in matrix theory,
        in Proceedings of the 4th International Congress of Chinese Mathematicians, Vol. I, edited by L. Ji, K. Liu, L. Yang and S.-T. Yau, Higher Education Press, Beijing, 2008, 367--382 pdf file
      • (with R.A. Brualdi and P. Pei) An extremal sparsity property of the Jordan canonical form,
        Linear Algebra Appl. 429(2008), 2367--2372 pdf file
      • (with R.A. Brualdi and Z. Huang) Singular, nonsingular, and bounded rank completions of ACI-matrices,
        Linear Algebra Appl. 433(2010), 1452--1462 pdf file
      • (with Z. Huang) Digraphs that have at most one walk of a given length with the same endpoints,
        Discrete Math., 311(2011), 70--79. pdf file
      • (with Z. Huang) ACI-matrices all of whose completions have the same rank,
        Linear Algebra Appl., 434 (2011), 1956--1967. pdf file
      • (with Z. Huang) Extremal digraphs whose walks with the same initial and terminal vertices have distinct lengths,
        Discrete Math., 312(2012), 2203--2213. pdf file
      • (with Z. Huang) Partial matrices all of whose completions have the same spectrum,
        Linear Algebra Appl., 436(2012), 3061--3064. pdf file
      • (with C. Ma) Extremal sparsity of the companion matrix of a polynomial,
        Linear Algebra Appl., 438(2013), 621--625. pdf file
      • (with C. Ma) Inverse invariant zero–nonzero patterns,
        Linear Algebra Appl., 443(2014), 184--190. pdf file
      • (with Z. Huang) Nonsymmetric normal entry patterns with the maximum number of distinct indeterminates,
        Linear Algebra Appl., 485(2015), 359--371. pdf file
      • (with S. Kirkland and P. Qiao) Algebraically positive matrices,
        Linear Algebra Appl., 504(2016), 14--26. pdf file
      • (with P. Qiao) On vertex types of graphs,
        Graph Combin., 34(2018), 889--900. pdf file
      • (with P. Qiao) The maximum girth and minimum circumference of graphs with prescribed radius and diameter,
        Discrete Math., 341(2018), 2827--2830. pdf file
      • (with P. Qiao) The largest graphs with given order and diameter: A simple proof,
        Graphs Combin., 35(2019), 1715--1716. pdf file
      • (with P. Qiao) The minimum number of Hamilton cycles in a hamiltonian threshold graph of a prescribed order,
        J. Graph Theory, 93(2020), 222--229. pdf file
      • (with P. Qiao) Pairs of a tree and a nontree graph with the same status sequence,
        Discrete Math., 343(2020), no.2, article number 111662. pdf file
      • (with P. Qiao) The diameter and radius of radially maximal graphs,
        Bull. Aust. Math. Soc., 104(2021), no.2, 196-202. pdf file
      • (with Y. Hu) Possible cardinalities of the center of a graph,
        Bull. Malays. Math. Soc., 44(2021), no.6, 3629-3636. pdf file
      • (with P. Qiao) On a problem of Erdos about graphs whose size is the Turan number plus one,,
        Bull. Aust. Math. Soc., 105(2022), no.2, 177-187. pdf file
      • (with Y. Hu) Regular homogeneously traceable nonhamiltonian graphs,,
        Discrete Appl. Math., 310(2022), 60-64. pdf file
      • (with P. Vrana and L. Zhang) Every 3-connected claw-free graph with domination number at most 3 is hamiltonian-connected,,
        Discrete Math., 345(2022), no.8, Paper No. 112909. pdf file
      • (with P. Qiao) The relation between the number of leaves of a tree and its diameter,,
        Czechoslovak Math. J., 72(2022), no.2, 365-369. pdf file
      • The maximum degree of a minimally hamiltonian-connected graph,,
        Discrete Math., 345(2022), no.12, Paper No. 113159. pdf file
      • (with Y. Hu) On almost self-centered graphs and almost peripheral graphs,,
        Taiwanese J. Math., 26(2022), no.5, 887-901. pdf file
      • (with L. Zhang) The maximum size of a nonhamiltonian graph with given order and connectivity,,
        Discrete Math., 346(2023), no.1, Paper No. 113208. pdf file
      • (with P. Qiao) Two-degree trees,
        J. East China Norm. Univ. Natur. Sci. Ed., 2023, no. 2, 1–4. pdf file
      • (with Y. Hu and L. Zhang) Graphs with many independent vertex cuts,
        Graphs Combin., 40 (2024), no. 4, Paper No. 83. pdf file
      • A conjecture generalizing Thomassen's chord conjecture in graph theory,
        Bull. Iranian Math. Soc., 50 (2024), no. 5, Paper No. 69. pdf file
      • The minimum number of detours in graphs,
        Australas. J. Combin., 90 (2024), 85–93. pdf file
      • A sufficient condition for pancyclic graphs,
        to appear in Bull. Aust. Math. Soc. pdf file
      • (with Y. Hu) On the metric subgraphs of a graph,
        arXiv 2112.10395, 20 December 2021 pdf file
      • (with J. Yan) The Turan number of book graphs,
        arxiv: 2010.09973v2, 25 April 2021 pdf file
  • 专业服务：
    • 担任下面三本杂志的编委:
      • Linear Algebra and Its Applications, 1968年在美国创刊, SCI, Associate Editor (2007 -- )
      • Linear and Multilinear Algebra, 1972年在美国创刊, SCIE, Member of Editorial Board (2009 -- 2013)
      • Electronic Journal of Linear Algebra, 1996年由国际线性代数学会(ILAS)创办, SCIE, Associate Editor (2011 -- 2013)
    • 2016年 Hans Schneider 奖评委
  • 会议邀请报告
    • 最近的邀请报告
      • Results and problems on longest paths in a graph,   pdf file
        第11届图论与组合优化前沿研讨会， 南开大学，天津，2024年10月3-5日
      • Homogeneously traceable graphs and minimally hamiltonian-connected graphs,   pdf file
        第四届合肥图与组合前沿进展研讨会， 安徽大学，合肥，2024年3月29-31日
    • 大会邀请（invited plenary）报告
      • Extremal sparsity property of the Jordan canonical form,   pdf file
        第8届中国矩阵论及其应用会议，太原师范学院，太原，2008年7月16-18 日
      • On nonnegative imprimitive matrices,   pdf file
        第7届中国矩阵论及其应用会议，电子科技大学，成都，2006年7月17-20 日
      • Extremal eigenvalues of real symmetric matrices with entries in an interval,   pdf file
        第12届国际线性代数学会会议, Regina 大学, 加拿大，2005年6月26-29 日
      • Submultiplicativity vs subadditivity for unitarily invariant norms,
        第6届中国矩阵论及其应用会议, 黑龙江大学，哈尔滨，2004年7月18-20 日
      • On the unitary orbit of complex matrices,
        第5届中国矩阵论及其应用会议, 上海大学，上海，2002年8月14-18 日
      • Inequalities for unitarily invariant norms,
        第3届中国矩阵论及其应用会议, 张家界，1998年8月8-13日
    • 45分钟邀请报告
      • Open Problems in Matrix Theory,   pdf file
        第4届世界华人数学家大会，浙江大学，杭州，2007年12月17-22 日
    • 40分钟邀请报告
      • Sparsity of matrix canonical forms,   pdf file
        第6届亚洲数学大会，韩国釜山，2013年6月30日-7月4日
    • 邀请的ILAS演讲
      • Unsolved Matrix Problems,   pdf file
        线性代数发展趋势高级研讨会，意大利国际理论物理中心，Trieste，2009年7月6-10日
    • 30分钟特邀报告
      • Digraphs that have at most one walk of a given length with the same endpoints,   pdf file
          第四届全国组合数学与图论大会, 徐州师范大学, 徐州，2010年8月22-25日
      • Extremal digraphs whose walks with the same initial and terminal vertices have distinct lengths,   pdf file
          Workshop on Positive Matrices and Operators: Recent Developments and Advances,
        国立庆北大学, 大邱, 韩国, 2012年6月24-28日
      • Extremal sparsity of the companion matrix of a polynomial,   pdf file
        矩阵与算子国际会议, 北京师范大学, 北京, 2013年7月15-18日
教学  
  • 课程
    • 2016年春季： 高等代数II（本科生），现代图论（研究生）， 组合与图论（研究生），图的结构讨论班（研究生）
    • 2016年秋季：矩阵论（研究生），图的圈和路讨论班（研究生）
  • 已毕业博士生
    • 黄荣（2008届），方茂中（2008届），武宏琳（2009届）， 黄泽军（2011届），钟金（2012届），
      张云（2014届），马超（2014届），乔璞（2019届） ， 胡亚楠（2023届），闫静茹（2023届），张雷雷（2024届）
我喜欢的名言  
  • 不管时代潮流和社会风尚怎样，人总是可以凭着自己高贵的品质超脱时代和社会，走自己正确的道路。
    ----- 爱因斯坦 (1879-1955)
  • 许多极端聪明的人没有成就，就是因为没有高尚的人性，所以就想不到那些伟大的问题。
    ----- 路德维希·维特根斯坦 (1889-1951)
  • 照亮人类思想的光源是明确的文字，首先要有清晰的定义，不可以含糊不清；相反，对于比喻和无意义的、模糊的词的思考是在数不清的谬论中无目的地漫游。
    ----- 托马斯·霍布斯(1588-1679)
  • 一个没有几分诗人才气的数学家永远不会成为一个完全的数学家。
    ----- 卡尔·魏尔斯特拉斯 (1815-1897)
  • 一个高超的问题解答者必须具备两种不协调的素质：永不安分的想象和极具耐心的执拗。
    ----- 霍华德·伊夫斯
  • 如果一门科学没有被注入数学的理论，那么它就不能被认为是一门科学。
    ----- 达·芬奇 (1452-1519)
  • 自由是不可分割的，只要一人被奴役，所有的人都不自由。
    ----- 肯尼迪(1917-1963)1963年在柏林墙边的演讲
  • 自由不仅是发展的首要目的，也是发展的主要手段。
    ----- 阿马蒂亚·森 (1933- )
  • 自信与骄傲者之异：自信者常沉着，而骄傲者常浮扬。
    ----- 梁启超 (1873-1929）
  • 对一个人的不公平是对所有人的威胁。在法律慈母般的眼睛里，每一个“个人”就是整个国家。
    ----- 孟德斯鸠 (法国，1689-1755)
  • 实现公正，即使天塌下来。
    ----- 英国著名法官 阿尔弗雷德·汤普森·丹宁 (1899-1999)
  • The paramount obligation of a college is to develop in its students the ability to think clearly and independently and the ability to live confidently, courageously and hopefully.
    ----- Ellen Browning Scripps (1836-1932)
  • What we admire and honor in the masters of our science is the penetrating thought and the broad vision that enabled them to uncover deeply hidden relationships and bring them to the light. The sense of having added an unforeseen truth to the treasury of knowledge is the greatest good fortune and the highest reward to which a mathematician aspires.
    ----- Leon Lichtenstein (1879-1933)
  • It is true that Fourier had the opinion that the principal aim of mathematics was public utility and explanation of natural phenomena; but a philosopher like him should have known that the sole end of science is the honor of the human mind, and that under this title a question about numbers is worth as much as a question about the system of the world.
    ----- Carl Jacobi (1804-1851)
  • The total number of Dirichlet's publications is not large: jewels are not weighed on a grocery scale.
    ----- Carl F. Gauss (1777-1855)
  • Our deeds determine us, as much as we determine our deeds.
    ----- George Eliot (1819-1880)
  • The state is made for man, not man for the state….That is to say, the state should be our servant and not we its slaves.
    ----- Albert Einstein (1879-1955)
        Last updated on October 24, 2024