详细资料
讲授课程
本科生课：高等代数、Galois理论、矩阵论、集合论
研究生课：交换代数、代数几何初步
科研项目
主持国家自然科学基金面上项目“多项式代数的Keller映射和微分算子的研究”(2019-2022)
主持国家自然科学基金委子项目“多项式自同构及单导子的结构研究”(2017-2019)
主持吉林省教育厅十三五规划项目“仿射代数几何的研究”(2019-2020)
主持吉林省科技厅自然科学基金“仿射代数几何若干问题的研究”(2015-2017)
主持吉林省科技厅青年科研基金“自由Poisson代数上自同构的结构研究”(2013-2015)
主持国家自然科学基金青年基金“多项式环上的Keller映射和局部幂零导子的结构研究”(2012-2014)
主持国家自然科学基金天元基金“带有可加幂零Jacobi矩阵的多项式自同构的结构研究”(2011)
学术论文
Imagesofderivationsofpolynomialalgebraswithdivergencezero,J.Algebra,492(2017)414-418.
MonomialpreservingderivationsandMathieu-Zhaosubspaces，J.PureAppl.Algebra,222(10)(2018)3219–3223.
Aclassofretractsofpolynomialalgebras,J.PureAppl.Algebra,222(2)(2018)382–386.
Thefactorialconjectureandimagesoflocallynilpotentderivations，Bull.Aust.Math.Soc.,101(1)(2020),71-79.
Quadratictamegeneratorsproblemofrankthree,LinearAlgebraAppl.587(2020)1-22.
OnthegeneralizedJacobianConjecture,Czech.Math.J.,69(144)(2019),1061–1068.
ClassificationofcubichomogeneouspolynomialmapswithJacobianmatricesofranktwo,Bull.Aust.Math.Soc.,98(1)(2018)89-101.
Imagesofhigher-orderdifferentialoperatorsofpolynomialalgebras,Bull.Aust.Math.Soc.,96(2)(2017),205-211.
Automorphismsoftheendomorphismsemigroupofafreealgebra,InternatJ.AlgebraComput.,25(08)(2015),1223-1238.
Classificationofquadratichomogeneousautomorphismsindimensionfive,Comm.Algebra,42(7)(2014),2821-2840.
OntheStrongNilpotenceProblem,AlgebraColloq.,21(1)(2014),117-128.
Onadditive-nilpotencyofJacobianmatricesofpolynomialmaps,LinearAlgebraAppl.,439(12)(2013),3746-3751.
Endomorphismsofpolynomialalgebrawithsmallco-invariants,J.PureAppl.Algebra,216(12)(2012),2709–2713.
Multidegreesoftameautomorphismsindimensionthree,Publ.Res.Inst.Math.Sci.,48(1)(2012),129-137.
PolynomialmapswithinvertiblesumsofJacobianmatricesanddirectionalderivatives,Indag.Math.,23(2012)256-268.
Onquadratichomogeneousquasi-translations,J.PureAppl.Algebra,214(11)(2010),1962-1972.
Onnon-singularmultilinearmaps,LinearMultilinearAlgebra,58(3)(2010),297-303.
QuadraticlinearKellermapsofnilpotencyindexthree,LinearAlgebraAppl.,429(1)(2008),12-17.
Thelineardependenceproblemforpowerlinearmaps.LinearAlgebraAppl.,426(2-3)(2007),706-715.
OntherangeofaHadamardpowerofapositivesemidefinitematrix,LinearAlgebraAppl.,416(2-3)(2006),868-871.