一、个人简介 

黎允楠,男,广州大学数学与信息科学学院副教授,硕士生导师,研究方向为李代数、量子群与代数组合,现与合作者在国际知名数学期刊Mathematische Zeitschrift, Pacific Journal of Mathematics, Journal of Combinatorial Theory, Series A., Journal of Algebra, Journal of Algebraic Combinatorics等发表学术论文十余篇。2015年成为美国数学会数学评论网评论员,2020年认定广州市青年后备人才(A证),2021年成为德国数学文摘数据库评论员,也曾受邀为Advances in Mathematics, European Journal of Combinatorics, Journal of Algebraic Combinatorics, The Ramanujan Journal等数学期刊审稿。


二、联系方式

办公地址:广州市番禺区外环西路230号(510006)

广州大学行政西楼前座211室

办公电话:020-39366859

电子邮箱:ynli@wjjtm.cn

 

三、教授课程

本科课程:近世代数,高等数学I, II

研究生课程:有限群表示论,霍普夫代数入门

 

四、教育经历

(1) 2010.9–2013.6, 华东师范大学, 基础数学, 博士, 导师: 胡乃红

(2) 2007.9–2010.6, 华东师范大学, 基础数学, 硕士, 导师: 胡乃红

(3) 2003.9–2007.6, 华南理工大学, 数学与应用数学, 学士

 

五、科研与学术工作经历

(1) 2018.8-2019.8, 美国新泽西州立罗格斯大学,数学与计算科学学院, 国家公派访问学者,合作导师: Li Guo (郭锂)

(2) 2018.1-至今, 广州大学, 数学与信息科学学院, 副教授

(3) 2015.11-2017.12, 广州大学, 数学与信息科学学院, 讲师

(4) 2013.9-2015.9, 华南理工大学, 博士后, 合作导师: Naihuan Jing (景乃桓)

 

六、科研项目及人才计划项目

1.国家自然科学基金面上项目,12071094,组合Hopf代数与量子化问题研究,2021/01-2024/12,52万元,在研,主持

2.广东省自然科学基金面上项目,量子群上罗巴算子的结构探讨,2022/01-2024/12,10万元,在研,主持

3.国家自然科学基金面上项目,12171155,量子(仿射)代数的分类及其有限维模张量范畴研究及应用,2022/01-2025/12,51万元,在研,参与(胡乃红主持)

4.国家自然科学基金青年科学基金项目,11501214,0-Hecke-Clifford代数的表示论及其Heisenberg耦合,2016/01-2018/12,18万元,已结题,主持

 

七、已发表论文

1. Li Guo, Yunnan Li. Braided Rota-Baxter algebras, quantum quasi-shuffle algebras and braided dendriform algebras, arXiv:1901.02843, J. Algebra Appl. online published, 2022, DOI: 10.1142/S0219498822501341

2. Li Guo, Richard Gustavson, Yunnan Li. An algebraic study of Volterra integral equations and their operator linearity, J. Algebra, 595:398–433, 2022.

3. Ge Feng, Naihong Hu, Yunnan Li. Drinfel’d doubles of the n-rank Taft algebras and a generalization of the Jones polynomial, Pacific J. Math., 312(2):421–456, 2021.

4. Li Guo, Yunnan Li. Coherent unit actions on braided operads and Hopf algebras. Hopf algebras, tensor categories and related topics, 137–151, Contemp. Math., 771, Amer. Math. Soc., 2021.

5. Yunnan Li, Li Guo. Braided dendriform and tridendriform algebras and braided Hopf algebras of planar trees, J. Algebraic Combin., 53(4):1147–1185, 2021.

6. Yunnan Li, Li Guo. Construction of free differential algebras by extending Gröbner-Shirshov bases, J. Symbolic Comput. 107:167–189, 2021.

7. Yunnan Li. On weak peak quasisymmetric functions, J. Combin. Theory Ser. A, 158: 449–491, 2018.

8. Yunnan Li. Towards a polynomial basis of the algebra of peak quasisymmetric functions, J. Algebraic Combin., 44(4):931–946, 2016.

9. Yunnan Li. Representation theory of 0-Hecke-Clifford algebras, J. Algebra, 453:189–220, 2016.

10.Naihuan Jing, Yunnan Li. A lift of the Schur’s Q-functions to the peak algebra, J. Combin. Theory Ser. A. 135:268–290, 2015.

11.Naihuan Jing, Yunnan Li. The shifted Poirier-Reutenauer algebra, Math. Z., 281:611–629, 2015.

12.Yunnan Li. On q-symmetric functions and q-quasisymmetric functions, J. Algebraic Combin., 41(2):323–364, 2015.

13.Yunnan Li, Naihong Hu. The Green rings of the 2-rank Taft algebra and its two relatives twisted. J. Algebra, 410:1–35, 2014. 

其他论文:

14.Lilan Dai, Yunnan Li, Primitive decompositions of idempotents of the group algebras of dihedral groups and generalized quaternion groups, submitted.

15.Li Guo, Yunnan Li, Yunhe Sheng, Rong Tang. Crossed homomorphisms and Cartier-Kostant-Milnor-Moore theorem for difference Hopf algebras, arXiv:2112.08434

16.Li Guo, Yunnan Li, Yunhe Sheng, Guodong Zhou. Cohomologies, extensions and deformations of differential algebras with any weights, arXiv:2003.03899

17.Yunnan Li, Huiqiu Lin. The distance spectra of the derangement graphs, arXiv:1610.06735

18.unnan Li, Jiao Zhang. On the quantum queer supergroup, preprint.

19.Naihong Hu, Yunnan Li, Marc Rosso. Multi-parameter quantum groups via quantum quasi-symmetric algebras, arXiv:1307.1381

20.Naihong Hu, Yunnan Li. Quantum quasi-shuffle algebras and q-quasisymmetric functions, Ph.D. dissertation, preprint (in Chinese)

21.Naihong Hu, Yunnan Li. n-rank Taft algebras, Drinfeld doubles and their knot invariants, Master thesis, preprint (in Chinese)