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。
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。
[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
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
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。
作者:张文婷