欢迎进入兰州大学数学与统计学院

张文婷

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、有限基问题、子簇格、计算复杂性
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
2023/10 – 今,     兰州大学,数学与统计学院,教授
2014/09 – 2015/09, La Trobe 大学, 访问学者

科研成果:
        主要围绕半群代数理论和代数簇理论,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等问题。取得了一些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、Science China Mathematics、Acta Math. Sinica (English Series)、Semigroup Forum、LMS. J. Comput. Math.、Int.J.Algebra.Comput、Algebra Universal、Communications in Algebra等国内外重要学术刊物上发表学术论文40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
指导学生情况:
        指导硕士研究生 13 名,已毕业 10 名。
发表论文及专著
[42] Y. F. Luo, J. J. Xie, W. T. Zhang*, Tropical representations of Chinese monoids with and without involution, Semigroup Forum, accepted
[41] W.T. Zhang, B. B. Han, Y.F. Luo*, Finite basis problem for Annular monoids with rotation, J. Algebra Appl., accepted
[40] S. V. Gusev, Y.X Li, W. T. Zhang*, Limit varieties of monoids satisfying a certain identity, Algebra Colloquium, accepted.
[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.
[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, 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 .
[32] M. Gao, W. T. Zhang*, Y. F. Luo, Finite basis problem for Catalan monoids with involution,International Journal of Algebra and Computation, 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.
[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). 
[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.  
[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.
[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. 
[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. 
[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.
[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
[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
[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
[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
[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
[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
1.  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。
2.《高等代数(一)》获批省级一流本科课程。
3. 指导学生参加国家大学生创新创业项目4项,校级6项,多次被评为优秀指导教师。
4. 指导学生参加大学生数学建模竞赛获国家级二等奖1次,甘肃省特等奖多次,多次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