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(MIT)、德国马尔堡大学、台湾中央研究院访问学者。研究领域为极值组合、代数组合。

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，(主持人) 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，(主持人) 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 (主持人).

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

(1) L. Mu, V. Welker, On a question about real-rooted polynomials and f-polynomials of simplicial complexes, Adv. in Appl. Math. (2026) 175 103041.

(2) M. Ding, L. Mu, B.-X. Zhu, Stieltjes moment property of the generalized Eulerian polynomials, Adv. in Appl. Math. (2026) 177 103077.

(3) H. Li, L. Mu, On the roots of independent domination polynomials of graphs, Discrete Appl. Math. (2026) 386 373-380.

(4) L.Mu, V. Welker, Total Positivity and Two Inequalities by Athanasiadis and Tzanaki. Ann. Comb. (2026) 59-75.

(5) X. Liu, L. Mu, S.-N. Zheng, The Hankel transform of (α,β)-aerated sequence, Linear Algebra Appl. 744 (2026) 179-189.

(6) L. Mu, Q. Shen, X. Xu, On the Real-rootedness, invariance, and root bounds of τ-polynomials, Discrete Mathematics, Algorithms and Applications, (2026)  doi:10.1142/S179383092550185X.

(7) L. Mu, Y. Xing, and S.-N. Zheng, A New Criterion for the Total Positivity of Riordan Arrays, J. Integer Seq. Vol. 28 (2025) Article 25.7.5.

(8) J. Lin, L. Mu, The flag f- and h-vectors of generalized square posets, Contrib. Discrete Math. 20 (2025) 117-132.

(9) T. Li, L. Mu, and R. Stanley, Some Linear Transformations on Symmetric Functions Arising From a Formula of Thiel and Williams, Enumer. Comb. Appl. 3:3 (2023)  #S2R24.

(10) L. Mu, S.-N. Zheng, Some analytical properties of the matrix related to Q-coloured Delannoy numbers, Proc. Edinb. Math. Soc. 65 (2022) 847-860.

(11) L. Mu, Q. Yue, On the unimodality of average edge cover polynomials, Discrete Math. (2022) 345 112807.

(12) J. Mao, L. Mu, Y. Wang, Yet another criterion for the total positivity of Riordan arrays, Linear Algebra Appl. 634 (2022) 106-111.

(13) T.W. Cai, Y. Chen, L. Mu, On the Smith normal form of the Varchenko matrix, Ars Math. Contemp. 19 (2020) 351-362.

(14) L. Mu, Some combinatorial properties of hexagonal lattices, Contrib. Discrete Math. 15 (2020) 175-182.

(15) T. Hibi, N. Li, T. X. Li, L. Mu, A. Tsuchiya, Order-chain polytopes, Ars Math. Contemp. 16 (2019) 299-317.

(16) L. Liu, L. Mu, Hankel determinants for generating functions of Catalan-like numbers, Linear Multilinear Algebra 67 (2019) 499-509.

(17) L. Mu, Y. Wang, Hankel determinants of shifted Catalan-like numbers,  Discrete Math. 340 (2017) 1389-1396.

(18) L. Mu, J. Mao, Y. Wang, Row polynomial matrices of Riordan arrays, Linear Algebra Appl. 522 (2017) 1-14.

(19) L. Mu, Y. Wang, Yeong-Nan Yeh, Hankel determinants of linear combinations of consecutive Catalan-like numbers, Discrete Math. 340 (2017) 3097-3103.

(20) L. Mu, S. Zheng, Total positivity of Delannoy-like triangle, J. Integer Seq. Vol.20 (2017) Article 17.1.6.

(21) L. Mu, Y. Wang, A generalization of Sperner’s theorem on compressed ideals, Electron. J. Combin. 23 (2016) P3.24.

(22) H. Liang, L. Mu, Y. Wang, Catalan-like numbers and Stieltjes moment sequences, Discrete Math. 339 (2016) 484-488.

(23) L. Mu, R. P. Stanley, Supersolvability and freeness for Ψ-graphical arrangements, Discrete Comput. Geom. 53 (2015) 965-970.

(24) L. Mu, Y. Wang, B. Zhang, A generalization of Sperner’s theorem for convex families, J. Comb. Number Theory 6 (2014) 183-189.