范久瑜 - 四川大学

个人简介

教育经历 2007.9–2012.6 南开大学组合数学中心博士 2003.9–2007.6 四川大学数学学院学士工作经历 2012年7月至今四川大学数学学院 2017.8–2018.8 美国伊利诺伊大学香槟分校(访问学者) 科研项目 5.国家自然科学面上基金，12071320，代数组合中的牛顿多面体，2021.01-2024.12，主持。 4.四川省科技计划项目，20YYJC4040，Grothendieck多项式的组合研究，2020.01-2022.12，主持。 3.国家自然科学面上基金， 11971250，代数组合学中的几个问题, 2020.01-2023.12, 主要参与人。 2.国家自然科学青年基金， 11401406， Kazhdan-Lusztig多项式与组合不变性猜想，2015.01-2017.12，主持。 1.教育部博士点基金， 20130181120103，Kazhdan-Lusztig 多项式与Deodhar猜想，2014.01-2016.12, 主持。

研究领域

组合数学

近期论文

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20. N.J.Y. Fan, Yao Li, On the Ehrhart polynomial of Schubert matroids, arXiv:2110.11549. 19.N.J.Y. Fan, P.L. Guo, N.Y. Liu, Complements of Schubert polynomials, arXiv:2001.03922. 18.N.J.Y. Fan, P.L. Guo, S.C.Y. Peng, S.C.C. Sun, Lattice points in the Newton polytopes of key polynomials, SIAM Journal on Discrete Math. 34(2020), 1281-1289. 17.N.J.Y. Fan, P.L. Guo, Vertices of Schubitopes, Journal of Combinatorial Theory,Series A, 177(2021)105311. 16.N.J.Y. Fan, P.L. Guo, Upper bounds of Schubert polynomials, Science China Mathematics, to appear. 15.N.J.Y. Fan, P.L. Guo, Set-valued Rothe tableaux and Grothendieck polynomials, Advances in Applied Mathematics, to appear. 14.N.J.Y. Fan, P.L. Guo, A note on specializations of Grothendieck polynomials, Discrete Math. 343 (2020) 111877. 13.N.J.Y. Fan, P.L. Guo, S.C.C. Sun, Bumpless pipedreams, reduced word tableaux and Stanley symmetric functions, preprint, arXiv:1810.11916. 12.N.J.Y. Fan, Standard Rothe tableaux, Discrete Math., 342 (2019) 3182–3193. 11.N.J.Y. Fan, P.L. Guo, S.C.C. Sun, Proof of a conjecture of Reiner-Tenner-Yong on barely set-valued tableaux, SIAM Journal on Discrete Math., 33 (2019), 189–196. 10.N.J.Y. Fan, A.J.X. Guo, On 1234-nesting Kazhdan–Lusztig R-polynomials for the symmetric Group, Communications in Algebra, 46 (2018), 644–652. 9.N.J.Y. Fan, P.L. Guo, G.L.D. Zhang, On parabolic Kazhdan- Lusztig R-polynomials for the symmetric group, Journal of Pure and Applied Algebra, 221 (2017) 237–250. 8.N.J.Y. Fan, L. He, T.X.S. Li, A.F.Y. Zhao, The sorting index and inversion number on order ideals of permutation groups, Discrete Math. 339 (2016) 2490-2499. 7.N.J.Y. Fan, L. He, On the complete cd-index of Boolean lattices, Electronic Journal of Combinatorics, 22(2) (2015), #P2.45. 6.N.J.Y. Fan, L. He, On the non-negativity of the complete cd-index, Discrete Math. 228 (2015), 2037-2041. 5.W.Y.C. Chen, N.J.Y. Fan, P.L. Guo, A.J.X. Guo, H.H.Y. Huang, M.X.X. Zhong, Combinatorial proof of the inversion formula on the Kazhdan-Lusztig R-Polynomials, Math. Z. 277 (2014), 1017-1025. 4.W.Y.C. Chen, N.J.Y. Fan, J.Y.T. Jia, The generating function for the Dirichlet series Lm(s), Mathematics of Computation 81 (2012), 1005-1023. 3.W.Y.C. Chen, N.J.Y. Fan, A.F.Y. Zhao, Partitions and partial matchings avoiding neighbor patterns, European Journal of Combinatorics 33 (2012), 491-504. 2.W.Y.C. Chen, N.J.Y. Fan, T.X.S. Li, Han's bijection via permutation codes, European Journal of Combinatorics, 32 (2011), 217-225. 1.W.Y.C. Chen, N.J.Y. Fan, J.Y.T. Jia, Labeled ballot paths and the Springer numbers, SIAM Journal on Discrete Math. 25 (2011), 1530-1546.