牟丽丽,1986年出生,山东烟台人,江苏师范大学数学与统计学院副教授、硕士研究生导师,九三学社社员。大连理工大学-麻省理工学院(MIT)联合培养博士,伦敦大学学院(UCL)、麻省理工学院、德国马尔堡大学、台湾中央研究院访问学者。研究方向为极值组合、代数组合、图论。
邮箱:lilimu@jsnu.edu.cn
工作经历
2021.7- 至今 江苏师范大学 数学与统计学院 副教授
2016.12 - 2021.7 辽宁师范大学 数学学院 副教授
科研项目
国家自然科学基金面上项目:偏序集上与链和反链相关的组合问题研究,2023-2026
国家自然科学青年基金: 与Catalan-like数相关的组合问题研究,2018-2020.
辽宁省博士启动基金:与广义Motzkin矩阵相关的组合问题研究
学术兼职
中国工业与应用数学学会-图论组合及应用专业委员会委员
美国《数学评论》评论员
学术成果
● Teresa Xueshan Li, Lili Mu, and Richard P. Stanley, Some Linear Transformations on Symmetric Functions Arising From a Formula of Thiel and Williams, Enumerative Combinatorics and Applications 3:3 (2023) #S2R24
● L. Mu, Sai-Nan Zheng, Some analytical properties of the matrix related to
● L. Mu, Q. Yue, On the unimodality of average edge cover polynomials. Discrete Mathematics (2022) 345(5):112807.
● J. Mao, L. Mu, Y. Wang, Yet another criterion for the total positivity of Riordan arrays. Linear Algebra and its Applications 634(2022):106-111
● T.W. Cai, Y. Chen, L. Mu, On the Smith normal form of the Varchenko matrix. Ars Mathematica Contemporanea, 19 2020): 351-362.
● L. Mu, Some combinatorial properties of hexagonal lattices, Contributions to Discrete Mathematics, 15 (2020): 175-182.
● T. Hibi, N. Li, T. X. Li, L. Mu, A. Tsuchiya, Order-chain polytopes, Ars Mathematica Contemporanea, 16(2019): 299-317.
● L. Liu, L. Mu, Hankel determinants for generating functions of Catalan-like numbers, Linear and Multilinear Algebra, 67 (2019): 499-509.
● L. Mu, Y. Wang, Hankel determinants of shifted Catalan-like numbers, Discrete Mathematics, 340 (2017): 1389-1396.
● L. Mu, J. Mao, Y. Wang, Row polynomial matrices of Riordan arrays, Linear Algebra and Its Applications, 522 (2017):1-14.
● L. Mu, Y. Wang, Yeong-Nan Yeh, Hankel determinants of linear combinations of consecutive Catalan-like numbers, Discrete Mathematics, 340 (2017): 3097-3103.
● L. Mu, S. Zheng, Total positivity of Delannoy-like triangle, Journal of Integer Sequences, Vol.20 (2017), Article 17.1.6.
● L. Mu, Y. Wang, A generalization of Sperner’s theorem on compressed ideals, Electronic Journal of Combinatorics, 23 (2016) : P3.24.
● H. Liang, L. Mu, Y. Wang, Catalan-like numbers and Stieltjes moment sequences, Discrete Mathematics, 339 (2016): 484-488.
● L. Mu, R. P. Stanley, Supersolvability and freeness for Ψ-graphical arrangements, Discrete & Computational Geometry, 53 (2015) : 965-970.
● L. Mu, Y. Wang, B. Zhang, A generalization of Sperner’s theorem for convex families, Journal of Combinatorics and Number Theory, 6 (2014):183-189.