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

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 – 2013/05，兰州大学，数学与统计学院，讲师
2013/05 – 2023/10，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：
        独立指导硕士研究生 13 名，已毕业 9 名；协助罗彦锋教授指导博士 7 名，已毕业 3 名。

发表论文及专著

[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, accepted.  
[38] B. B. Han, W.T. Zhang*,Y.F. Luo and J.X. Zhao, Representations and identities of hypoplactic monoids with involution,  Commun. Algebra, doi: 10.1080/00927872.2023.2255669
[37]B. B. Han, W.T. Zhang* and Y.F. Luo，Minimality and uniqueness of the non-finitely based involution monoid of order five, Bull. Aust. Math. Soc, doi:10.1017/S0004972723000989 
[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，编号12271224）
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（编号 20JR5RA275）
2015.1-2017.12，国家自然科学基金（青年基金，编号11401275）
2012.1-2012.12，国家自然科学基金（天元基金，编号11126186）
2011.1-2013.12，甘肃省自然科学基金（编号 1107RJZA218）

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。
指导学生参加国家大学生创新创业项目3项，校级5项，本人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1次，甘肃省特等奖多次，本人多次被评为优秀指导教师。

社会工作

其它信息

作者:张文婷