杨立波 - 南开大学 - 数学科学学院

个人简介

工作经历 2011-01 至今, 南开大学, 组合数学中心, 教授 2006-01 至 2010-12, 南开大学, 组合数学中心, 副教授 2004-07 至 2005-12, 南开大学, 组合数学中心, 讲师教育经历 1999-09 至 2004-07, 南开大学, 应用数学, 博士 1995-09 至 1999-07, 郑州大学, 基础数学, 学士【讲授课程】研究生课程：组合数学选讲代数组合学对称函数理论拟阵基础本科生课程：组合学中的代数方法

研究领域

Enumerative Combinatorics Algebraic Combinatorics Matroid theory

近期论文

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MR4546049- Stanley's conjectures on the Stern poset Yang, Arthur L. B. Discrete Math. 346 (2023), no. 6, Paper No. 113359, 7 pp. MR4531035 - Immanant positivity for Catalan-Stieltjes matrices Li, Ethan Y. H.; Li, Grace M. X.; Yang, Arthur L. B.; Zhang, Candice X. T. Front. Math. China 17 (2022), no. 5, 887–903. MR4504131 - The equivariant inverse Kazhdan-Lusztig polynomials of uniform matroids Gao, Alice L. L.; Xie, Matthew H. Y.; Yang, Arthur L. B. SIAM J. Discrete Math. 36 (2022), no. 4, 2553–2569. MR4462774 - Recurrences for Callan's generalization of Narayana polynomials Chen, Xi; Yang, Arthur Li Bo; Zhao, James Jing Yu J. Syst. Sci. Complex. 35 (2022), no. 4, 1573–1585. MR4461660 - Kazhdan-Lusztig polynomials of fan matroids, wheel matroids, and whirl matroids Lu, Linyuan; Xie, Matthew H. Y.; Yang, Arthur L. B. J. Combin. Theory Ser. A 192 (2022), Paper No. 105665, 62 pp. MR4457947 - Descent generating polynomials and the Hermite-Biehler theorem Yang, Arthur L. B.; Zhang, Philip B. J. Algebraic Combin. 56 (2022), no. 1, 117–152. MR4432016 - A planar network proof for Hankel total positivity of type B Narayana polynomials Li, Ethan Y. H.; Li, Grace M. X.; Yang, Arthur L. B.; Zhang, Candice X. T. Adv. in Appl. Math. 139 (2022), Paper No. 102374, 18 pp. MR4342366 - The twinning operation on graphs does not always preserve e e-positivity Li, Ethan Y. H.; Li, Grace M. X.; Wang, David G. L.; Yang, Arthur L. B. Taiwanese J. Math. 25 (2021), no. 6, 1089–1111. MR4281206 - On the e e-positivity of (claw, 2K_2)-free graphsfree graphs Li, Grace M. X.; Yang, Arthur L. B. Electron. J. Combin. 28 (2021), no. 2, Paper No. 2.40, 14 pp. MR4160476 - The Kazhdan-Lusztig polynomials of uniform matroids Gao, Alice L. L.; Lu, Linyuan; Xie, Matthew H. Y.; Yang, Arthur L. B.; Zhang, Philip B. Adv. in Appl. Math. 122 (2021), Paper No. 102117, 24 pp. MR4038562 - Combinatorial identities related to 2*2 submatrices of recursive matrices Cai, Fangfang; Hou, Qing-Hu; Sun, Yidong; Yang, Arthur L. B. Discrete Math. 343 (2020), no. 3, 111734, 12 pp. MR3959681 - Schur positivity and log-concavity related to longest increasing subsequences Gao, Alice L. L.; Xie, Matthew H. Y.; Yang, Arthur L. B. Discrete Math. 342 (2019), no. 9, 2570–2578. MR3795735 - The real-rootedness of generalized Narayana polynomials related to the Boros-Moll polynomials Chen, Herman Z. Q.; Yang, Arthur L. B.; Zhang, Philip B. Rocky Mountain J. Math. 48 (2018), no. 1, 107–119. MR3777041 - Total positivity of Narayana matrices Wang, Yi; Yang, Arthur L. B. Discrete Math. 341 (2018), no. 5, 1264–1269. MR3761931 - Kirillov's unimodality conjecture for the rectangular Narayana polynomials Chen, Herman Z. Q.; Yang, Arthur L. B.; Zhang, Philip B. Electron. J. Combin. 25 (2018), no. 1, Paper No. 1.17, 7 pp. MR3699111 - The Smith normal form of a specialized Giambelli-type matrix Gao, Alice L. L.; Xie, Matthew H. Y.; Yang, Arthur L. B. Adv. in Appl. Math. 92 (2018), 1–16.

学术兼职

《数学进展》编委（2015-01至2018-12，2019-01至2022-12）中国工业与应用数学学会图论组合及应用专业委员会常务委员（2020年至2024年）中国运筹学会图论组合专业委员会常务委员（2019年至2023年）天津市针灸学会计算针灸学专业委员会副主任委员（2022年至2026年）中国数学会组合数学与图论专业委员会委员（2018年至2022年）中国数学会计算机数学专业委员会委员（2018年至2022年）