个人简介
个人简历
教育背景
1997.9—2001.6，河南师范大学数学系，本科
2001.9—2004.6，河南师范大学基础数学专业，硕士
2005.9—2008.6，武汉大学基础数学专业，博士
2009.12—2011.12，清华大学数学科学系，博士后
工作经历
2004.7—2007.7河南师范大学，助教
2007.8—2011.3河南师范大学，讲师
2011.4—2017.12河南师范大学，副教授
2017.12—河南师范大学，教授
教学工作
主讲本科生课程：《解析几何》、《微分几何》、《线性代数》、《高等数学》
主讲研究生课程：《子流形几何》、《黎曼几何》、《复流形》
获奖情况
河南省教育厅学术技术带头人（豫教[2012]01169）
河南省高等学校青年骨干教师（豫教[2017]03538）
河南省运筹学会常务理事
河南省第十届自然科学优秀学术论文，一等奖1项；二等奖1项
河南省首届自然科学学术奖-河南省自然科学优秀学术论文，一等奖1项；二等奖2项
指导的研究生荣获“河南省优秀硕士学位论文”两篇
科研项目
国家自然科学基金（面上），“黎曼流形上的特殊几何结构及相关分类研究”，No.11971153，2020.1-2023.12(主持)
国家自然科学基金（青年-面上连续），“WittenLaplacian的特征值及与其相关的RicciSoliton研究”，No.11371018，2014.1-2017.12(主持)
国家自然科学基金（青年），“黎曼流形上的特征值及相关问题研究”，No.11001076,2011.1-2013.12(主持)
河南省教育厅自然科学基金，No.2010A110008(主持)
第四十八批中国博士后科学基金（面上），No.20100480316(主持)
国家自然科学基金，“仿射微分几何中四阶偏微分方程整体解的研究”，No.10926172(参加)
国家自然科学基金，“子流形的变分与高阶极小子流形”，No.10926171(参加)
河南省科技厅项目，“流形上G-结构的几何与分析”，No.092300410143(参加)
河南省教育厅自然科学基金，No.2009A110010(参加)
近期论文
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1.Someinequaltitiesforsubmanifoldsinlocallyconformallyalmostcosymplecticmanidolds,SoochowJ.Math.,2005,31:309-319(withX.LiandJ.Xu).
2.Somenewresultson\lambda_2eigenmapsbetweenspheres,J.Math.(Wuhan),2006,26:243-249(withX.Li).
3.UniquenessfortheBrezis-NirenbergproblemoncompactEinsteinmanifolds,OsakaJ.Math.,2008,45:609-614(withW.Chen).SCI
4.Uniquenessforthesolutionofsemi-linearellipticNeumannProblemsinR^3,Commun.PureAppl.Anal.,2008,7:1269-1273(withW.Chen).SCI
5.EstimatesoneigenvaluesforhigherorderLaplaciansonsphericaldomains，J.Math.(Wuhan),2009,29:449-453(withX.Li).
6.ExtrinsicestimatesfortheeigenvaluesofSchrodingeroperator,Geom.Dedicata,2009,143:89-107(withX.LiandR.Xu).SCI
7.UniversalboundsforeigenvlauesofLaplacianoperatorwithanyorder,ActaMath.Sci.Ser.BEngl.Ed.,2010,30:939-948(withW.Chen).SCI
8.Inequalitiesofeigenvaluesforbi-kohnLaplacianonHeisenberggroup,ActaMath.Sci.Ser.BEngl.Ed.,2010,30:125-131(withW.Chen).SCI
9.GradientestimatesforanonlinearparabolicequationonRiemannianmanifolds,Arch.Math.(Basel).2010,94:265-275(withB.Ma).SCI
10.Estimatesonthefirsttwobucklingeigenvaluesonsphericaldomains,J.Geom.Phys.,2010,60:714-719(withX.LiandX.Qi).SCI
11.Estimatesforlowerordereigenvaluesofaclampedplateproblem,Calc.Var.PartialDifferentialEquations,2010,38:409-416(withQ.-M.ChengandG.Wei).SCI
12.EstimatesoneigenvaluesforthebiharmonicoperatoronaboundeddomaininH^n(-1),ActaMath.Sci.Ser.BEngl.Ed.,2011,31:1383-1388(withX.Li).SCI
13.Liouville-typetheoremforthedriftingLaplacianoperator,Arch.Math.(Basel),2011,96:379-385(withC.ZhangandJ.Zhang).SCI
14.ExtrinsiceigenvalueestimatesofDiracoperatorsonRiemannianmanifolds，Math.Nachr.,2011,284:273-286(withL.ChenandX.Sun).SCI
15.Universalboundsoneigenvaluesofthebucklingproblemonsphericaldomains,J.Math.(PRC),2011,31(5):840-846(withX.LiandL.Cao).
16.GradientestimatesanddifferentialHarnackinequalitiesforanonlinearparabolicequationonRiemannianmanifolds,Ann.Glob.Anal.Geom.,2013,43:209-232(withZ.HuangandH.Li).SCI
17.EigenvaluerelationshipsbetweenLaplaciansofconstantmeancurvaturehypersurfacesinS^{n+1},Commun.Math.2013,21:31–38(withB.Ma).
18.LowerboundsforthescalarcurvatureofnoncompactgradientsolitonsofList'sflow,Arch.Math.(Basel),2013,100:593-599(withB.Ma).SCI
19.Theclassificationof(m,ρ)-quasi-Einsteinmanifolds,Ann.GlobalAnal.Geom.2013,44:269-282(withY.Wei).SCI
20.GradientEstimatesfortheporousmediumequationsonRiemannianmanifolds,J.Geom.Anal.,2013,23:1851–1875(withZ.HuangandH.Li).SCI
21.GradientestimatesandentropyformulaeofporousmediumandfastdiffusionequationsfortheWittenLaplacian,PacificJ.Math.2014,268:47-78(withH.Li).SCI
22.OnaclassificationofthequasiYamabegradientsolitons,MethodsAppl.Anal.2014,21:379-389(withH.Li).
23.Anoteongradientgeneralizedquasi-Einsteinmanifolds,J.Geom.2015,106:297-311(withF.Zeng).
24.GradientestimatesandLiouvilletypetheoremsforanonlinearellipticequation,Arch.Math.(Basel)2015,105:491-499(withB.Ma).SCI
25.Hamilton'sgradientestimatesandLiouvilletheoremsforporousmediumequations,J.Inequal.Appl.2016,PaperNo.37,7pp.(withR.XuandF.Zeng).SCI
26.Hamilton-Souplet-Zhang'sgradientestimatesfortwotypesofnonlinearparabolicequationsundertheRicciflow,J.Funct.Spaces2016,Art.ID2894207,7pp.(withB.Ma).SCI
27.EvolutionofageometricconstantalongtheRicciflow,J.Inequal.Appl.2016,PaperNo.53,11pp.(withZ.Li).SCI
28.DeLellis-Toppingtypeinequalitiesforf-Laplacians,StudiaMath.2016,232:189-199(withF.Zeng).SCI
29.VanishingtheoremsforKillingvectorfieldsoncompletehypersurfacesinthehyperbolicspace,Colloq.Math.2016,145:99-105(withH.Li).SCI
30.SharpboundsforthefirstnonzeroStekloveigenvaluesforf-Laplacians,TurkishJ.Math.2016,40:770-783(withB.Ma).SCI
31.Riemannianmanifoldswithharmoniccurvature,Colloq.Math.2016,145:251-257(withB.Ma).SCI
32.Integralpinchedgradientshrinkingρ-Einsteinsolitons,J.Math.Anal.Appl.2017,451:1045-1055.SCI
33.Hamilton'sgradientestimatesofporousmediumandfastdiffusionequations,Geom.Dedicata2017,188:1-16(withB.Ma).SCI
34.Eigenvalueestimatesforsubmanifoldswithboundedf-meancurvature,Proc.IndianAcad.Sci.Math.Sci.2017,127:375–381(withB.Ma).SCI
35.Hamilton-Souplet-Zhang'sgradientestimatesfortwoweightednonlinearparabolicequations,Appl.Math.J.ChineseUniv.Ser.B,2017,32:353-364(withB.Ma).SCI
36.EstimatesforeigenvaluesofLroperatoronself-shrinkers,Internat.J.Math.2017,28:1750097,18pp.(withX.QiandH.Li).SCI
37.Somecharacterizationsoncriticalmetricsforquadraticcurvaturefunctions,Proc.Amer.Math.Soc.2018,146:385–395(withL.Chen).SCI
38.RigidityofcompletenoncompactRiemannianmanifoldswithharmoniccurvature,J.Geom.Phys.2018,124:233-240(withB.Ma).SCI
39.LiouvilletypetheoremsofanonlinearellipticequationfortheV-Laplacian,Anal.Math.Phys.2018,8:123-134(withZ.Li).SCI
40.Theclassificationofstaticspacesandrelatedproblems,Colloq.Math.2018,151:189-202(withF.Zeng).SCI
41.Monotonicityformulasofeigenvaluesandenergyfunctionalsalongtherescaledlist'sextendedRicciflow,Mediterr.J.Math.2018,15:Art.63,20pp.(withZ.Li).SCI
42.RigidityofEinsteinmetricsascriticalpointsofquadraticcurvaturefunctionalsonclosedmanifolds,NonlinearAnal.2018,175:237-248(withB.Ma,X.LiandY.Chen).SCI
43.RigidityofRiemannianmanifoldswithpositivescalarcurvature,AnnGlobAnalGeom.2018,54:257-272.SCI
44.GradientestimatesforanonlinearellipticequationoncompleteRiemannianmanifolds,Proc.Amer.Math.Soc.2018,146:4993-5002.(withB.MaandY.Luo).SCI
45.L1andL2energyforheatequationsonclosedmanifolds,Adv.Math.(China)2018,47:224-230(withF.Zeng).
46.Boundaryeffectofm-dimensionalBakry-EmeryRiccicurvature,Anal.Math.Phys,2019,9:1319-1331(withQ.Tu).SCI
47.RigidityofcompleteRiemannianmanifoldswithvanishingBachtensor,Bull.KoreanMath.Soc.2019,56:1341-1353.(withB.Ma).SCI
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