兰州大学数学与统计学院     教授   张文婷

研究方向

半群代数理论和代数组合

个人简历

张文婷，教授，博士生导师

受教育经历：
2000/09 – 2004/06，兰州大学，数学系，本科，学士
2004/09 – 2009/06，兰州大学，数学与统计学院，硕博连读，博士

研究工作经历 ：
2009/07 – 2013/04，兰州大学，数学与统计学院，讲师
2013/05 – 2023/09，兰州大学，数学与统计学院，副教授
2014/09 – 2015/09， La Trobe 大学, 访问学者
2023/10 – 今，             兰州大学，数学与统计学院，教授

科研成果：
        主要围绕半群代数理论和代数组合，研究半群簇与对合半群簇的有限基问题、子簇格和相关算法问题的计算复杂性，和半群的代数结构、组合刻画、线性表示等,取得了一系列具有重要学术价值的研究成果，解决了本领域的多个公开问题，获得了国际同行的关注和高度评价，研究成果分别被这些领域的最新综述文献收录。已在Journal of Algebra、Pacific J. Math.、Science China Mathematics、Internat. J. Algebra. Comput、Semigroup Forum、Acta Math. Sinica (English Series)等国内外重要学术刊物上发表学术论文50余篇。

教学及指导学生情况

主讲本科生课程:
        高等代数，抽象代数，线性代数，解析几何，域论与伽罗瓦理论，代数学选讲，高等数学
主讲研究生课程:
        代数学基础，半群理论，泛代数基础，计算复杂性，环与模范畴，结合代数的表示理论
指导学生情况：
        指导博士研究生2名，学硕 15 名，专硕 3 名，已毕业 11 名。

发表论文及专著

接收待发表 :
[52] De Biao Li, W. T. Zhang*, The ideals of certain semigroups of transformations with restricted range, J. Algebra Appl., 2027, 2750210.
[51] Sergey V. Gusev, E.W. H Lee*, W. T. Zhang, Characterization of Cross varieties of J-trivial monoids, submit to J. Aust. Math. Soc., doi:10.1017/S1446788726101591.
[50] Y. F. Luo, J. Z. Feng, W. T. Zhang*, Finite Gr{\"o}bner-Shirshov bases and faithful representations for Lee monoids, J. Algebra Appl., 2027, 2750169.

2026年
[49] M. Gao, E. W. H. Lee, Y. F. Luo, W. T. Zhang*, Finite basis problem for involution semigroups of order four, Pacific Journal of Mathematics, 2026, 342 (1) : 163-206
[48] W. T. Zhang, M. Gao, Y. F. Luo*, Equational theories of the Boolean matrix monoid BR_n with involutions, Journal of Algebra, 2026, 685(1): 225-270
[47] Y. F. Luo, J. Z. Feng, W. T. Zhang*, Finite complete Rewriting systems and biautomatic structures for Stylic monoids, J. Algebra Appl., 2026, 2650282
[46] Y. F. Luo, J. Z. Feng, W. T. Zhang*, The finite basis problem for free tree monoids. Bull. Aust. Math. Soc, 2026, 113: 323-330
[45] Y. F. Luo, J. Z. Feng, W. T. Zhang*, Finite Gr{\"o}bner-Shirshov bases and faithful representations for Catalan monoids, Commun. Algebra, 2026, 54(1): 185-195. 
[44] W. T. Zhang, B. B. Han, Y. F. Luo*, Finite basis problem for Annular monoids with rotation, J. Algebra Appl., 2026, 2550336. 

2025年
[43] X. J. An, J. R. Li, Y. F.Luo* , W. T. Zhang, A path description for ε-characters of representations of type a restricted quantum loop algebras at roots of unity, Journal of Algebra, 2025，681: 607-651.
[42] S. V. Gusev, Y. X. Li, W. T. Zhang*, Limit varieties of monoids satisfying a certain identity, Algebra Colloquium, 2025, 32(1): 1-40. 
[41] J. J. Xie, W.T.Zhang*, The varieties of Chinese monoids with and without involution, Journal of Northwest Normal University (Natural Science), 2025, 61(2): 14-16.

2024年
[40] Y. F. Luo, J. J. Xie, W. T. Zhang*, Representations and identities of Chinese monoid and its involution, Semigroup Forum, 2024, 109: 447-456.
[39] M. Gao, W. T. Zhang*, Y. F. Luo, Varieties of involution J-trivial monoids with continuum many subvarieties, Algebra Colloquium, 2024, 31(3): 407-416. 
[38] B. B. Han, W. T. Zhang*, Y. F. Luo and J. X. Zhao, Representations and identities of hypoplactic monoids with involution, Commun. Algebra, 2024, 52(3): 1038-1062.
[37] B. B. Han, W. T. Zhang* and Y. F. Luo, Finite basis problem for involution monoids of order five, Bull. Aust. Math. Soc, 2024, 109: 350-364. 

2023年
[36] B. B. Han, W. T. Zhang*, Y. F. Luo and J. X. Zhao, Representations and identities of Baxter monoids with involution, Semigroup Forum, 2023, 107: 424-458. 
[35] D. B. Li, W. T. Zhang*, Y. F. Luo, On certain semigroups of transformations with restricted range, J. Algebra Appl., 2023, 2350143.
[34] B. B. Han and W. T. Zhang*. Finite basis problems for stalactic, taiga, sylvester and baxter monoids, J. Algebra Appl., 2023, 2350204.
[33] B. B. Han, W. T. Zhang*, J. R. Li, Finite basis problem for the variety generated by all monoids of order five, Commun. Algebra, 2023, 51(1): 424-439.

2022年
[32] M. Gao, W. T. Zhang*, Y. F. Luo, Finite basis problem for Catalan monoids with involution, Int. J. Algebr. Comput., 2022, 32(6): 1161-1177. 
[31] D. B. Li, W. T. Zhang*, Y. F. Luo, The monoid of orientation-preserving k-extensive transformations, Semigroup Forum, 2022, 104: 376-397.
[30] D. B. Li, W. T. Zhang*, Y. F. Luo, On the monoid of all injective orientation  preserving and extensive partial transformations, Commun. Algebra, 2022, 50(1): 275-286.
[29] D. B. Li, W. T. Zhang*, Y. F. Luo, The monoid of all orientation-preserving and extensive full transformations on a finite chain, J. Algebra Appl., 2022, 2250105.

2021年
[28] M. Jackson*, W. T. Zhang, From A to B to Z, Semigroup Forum, 2021, 103: 165-190.
[27] B. Duan, W. T. Zhang*, Y. F. Luo, The classification of maximal inverse monoids of matrices, Semigroup Forum, 2021, 102: 120-133.
[26] M. Gao, W. T. Zhang*, Y. F. Luo, Finite basis problem for Lee monoids with involution, Commun. Algebra, 2021, 49(10): 4258-4273.
[25] B. B. Han, W. T. Zhang*, Y. F. Luo, Equational theories of upper triangular tropical matrix semigroups, Algebra Universalis, 2021, 82(44).

2020年
[24] M. Gao, W. T. Zhang*, Y. F. Luo, A non-finitely based involution semigroup of order five, Algebra Universalis, 2020, 81(31).
[23] W. T. Zhang*, Y. F. Luo, N. Wang, Finite basis problem for involution monoids of unitriangular boolean matrices, Algebra Universalis, 2020, 81(7).
[22] W. T. Zhang*, Y. F. Luo, The finite basis problem for involution semigroups of triangular 2×2 matrices, Bull. Aust. Math. Soc, 2020, 101(1): 88-104.
[21] M. Gao, W. T. Zhang*, Y. F. Luo, The monoid of 2×2 triangular boolean matrices under skew transposition is non-finitely based, Semigroup Forum, 2020, 100: 153-168.

2017年
[20] W. T. Zhang*, Y. D. Ji, Y. F. Luo, The finite basis problem for infinite involution semigroups of triangular 2×2 matrices, Semigroup Forum, 2017, 94: 426-441.
[19] Y. Z. Chen*, W. T. Zhang, A limit monoid variety which is not a limit semigroup variety, Journal of Lanzhou University (Natural Science), 2017, 53(1): 127-130.

2016年
[18] W. T. Zhang*, Y. F. Luo, A sufficient condition under which a semigroup is nonfinitely based, Bull. Aust. Math. Soc, 2016, 93(3): 454-466.

2015年
[17] E. W. H. Lee, W. T. Zhang*, Finite basis problem for semigroups of order six, LMS J. Comput. Math., 2015, 18(1): 1-129.
[16] J. R. Li, W. T. Zhang, Y. F. Luo*, On the finite basis problem for the variety generated by all n-element semigroups, Algebra Universalis, 2015, 73(3): 225-248.
[15] D. N. Ashikhmin, M. V. Volkov*, W. T. Zhang, The finite basis problem for Kiselman monoids, Demonstratio Mathematica, 2015, 48(4): 475-492.

2014年
[14] E. W. H. Lee*, W. T. Zhang, The smallest monoid that generates a non-Cross variety (in Chinese):Journal of Xiamen University(Natural science), 2014, 53(1): 1-4.

2013年
[13] W. T. Zhang*, J. R. Li, Y. F. Luo, Hereditarily finitely bsed semigroups of triangular matrices over finite fields, Semigroup Forum, 2013, 86(2): 229-261.
[12] W. T. Zhang*, Existence of a new limit variety of aperiodic monoids, Semigroup Forum, 2013, 86(1): 212-220.
[11] J. R. Li, W. T. Zhang*, Y. F. Luo, On the finite basis problem for certain 2-limited words, Acta Math.Sinica(English Series), 2013, 29(3): 571-590.

2012年
[10] W. T. Zhang, J. R. Li, Y. F. Luo*, On the variety generated by the monoid of triangular 2×2 matrices over a two-element field, Bull. Aust. Math. Soc, 2012, 86: 64-77.
[9] Y. F. Luo*, W. T. Zhang, Y. Y. Qin, H. L. Hou, Split graphs whose half-strong endomorphisms form a monoid, Sci China Math, 2012, 55(6): 1303-1320.
[8] E. W. H. Lee, J. R. Li, W. T. Zhang*, Minimal non-finitely based semigroups, Semigroup Forum, 2012, 85(3): 577-580.

2011年
[7] W. T. Zhang*, Y. F. Luo, A new example of a minimal nonfinitely based semigroup, Bull. Aust. Math. Soc, 2011, 84(3): 484-491.
[6] Y. F. Luo*, W. T. Zhang, On the variety generated by all semigroups of order three, Journal of Algebra, 2011, 334(1): 1-30.

2010年
[5] W. T. Zhang*, Y. F. Luo, The variety generated by all non-permutative,          non-idempotent semigroups of order four, Proceeding of the international conference on algebra, 2010, 10: 721-735.
[4] W. T. Zhang*, Subvarieties of the varieties generated by aperiodic commutative semigroups, Journal of Mathematical Research Exposition, 2010, 30(1): 119-126.

2009年
[3] W. T. Zhang, Y. F. Luo*, The subvariety lattice of the join of two semigroup varieties, Acta Math. Sinica (English Series), 2009, 25(6): 971-982.

2008年
[2] W. T. Zhang, Y. F. Luo*, The variety generated by a certain transformation monoid, Internat. J. Algebra Comput., 2008, 18: 1193-1201.  
[1] W. T. Zhang, Y. F. Luo*, On varieties generated by minimal complex semigroups, Order, 2008, 25: 243-266.

项目成果

2023.1-2026.12      国家自然科学基金面上项目
2023.7-2026.6        中央高校基本科研业务费—优秀青年支持计划
2020.10-2022.10   甘肃省自然科学基金
2015.1-2017.12      国家自然科学青年基金
2012.1-2012.12      国家自然科学天元基金
2011.1-2013.12      甘肃省自然科学基金

荣誉、获奖

· 科研成果“半群代数理论及其在图论中的应用”获得甘肃省2020年度自然科学二等奖，第一参与人。
· 《高等代数（一）》获批省级一流本科课程。
· 2024年入选甘肃省领军人才（第二层次）。
· 2024年入选飞天学者特聘教授。
· 获兰州大学2024-2025学年有治教学奖。 
· 获兰州大学2019学年隆基教学新秀奖。
· 指导学生参加国家和校级大学生创新创业项目多项，多次被评为优秀指导教师。
· 指导学生参加大学生数学建模竞赛获国家级二等奖2次，甘肃省特等奖多次，多次被评为优秀指导教师。
· 兰州大学第六届教师教学创新大赛正高级职称组优秀奖。
· 兰州大学本科生毕业论文（设计）优秀指导教师。
· 兰州大学暑期文化科技卫生“三下乡”社会实践活动中被评为优秀指导教师。

社会工作

其它信息

社会工作
        美国数学会《数学评论》, 评论员
        德国数学会《数学评论》, 评论员

作者:张文婷