陈秀雄
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资料介绍
个人简历
Career2017.11至今上海科技大学数学科学研究所创始所长、DistinguishedAdjunctProfessor2010至今美国纽约州立大学石溪分校教授2005-2010威斯康星大学麦迪逊分校教授2002-2005威斯康星大学麦迪逊分校副教授1998-2002普林斯顿大学助理教授1996-1998美国斯坦福大学博士后1994-1996加拿大麦克马斯特大学讲师Education1989-1994美国宾西法尼亚大学数学专业,博士1987-1989中国科学院研究生院和中国科大研究生院(北京)数学系硕士1982-1987中国科学技术大学数学系本科研究领域
Differentialgeometry;complexdifferentialgeometry,partialdifferentialequations.近期论文
1.XiuxiongChen,MikhailFeldman,JingchenHu.GeodesicallyConvexityofSmallNeighborhoodinSpaceofKählerPotentials.arXiv:1805.02373.2.XiuxiongChen,WeiyongHe.Aclassoffullynonlinearequations.arXiv:1802.04985.3.Chen,Xiuxiong;Cheng,Jingrui.OntheconstantscalarcurvatureKählermetrics,generalautomorphismgroup.arXiv:1801.05907.4.Chen,Xiuxiong;Cheng,Jingrui.OntheconstantscalarcurvatureKählermetrics,existenceresults.arXiv:1801.00656.5.Chen,Xiuxiong;Cheng,Jingrui.OntheconstantscalarcurvatureKählermetrics,aprioriestimates.arXiv:1712.06697.6.Chen,Xiuxiong;Darvas,Tamás;He,Weiyong.CompactnessofKählermetricswithboundsonRiccicurvatureandIfunctional.arXiv:1712.05095.7.Chen,Xiuxiong;Wang,Bing.Remarksofweak-compactnessalongKahlerRicciflow.arXiv:1605.013748.Chen,Xiuxiong;ChenGao.Gravitationalinstantonswithfasterthanquadraticcurvaturedecay(III).arXiv:1603.08465.9.Chen,Xiuxiong;ChenGao.Gravitationalinstantonswithfasterthanquadraticcurvaturedecay(II).JournalfürdiereineundangewandteMathematik(CrellesJournal),ISSN(Online)1435-5345,ISSN(Print)0075-4102.10.Chen,Xiuxiong;Sun,Song;Wang,Bing.Kähler-Ricciflow,Kähler-Einsteinmetric,andK-stability.GeometryandTopology,Volume22,Number6(2018),3145-317311.Chen,Xiuxiong.OntheexistenceofconstantscalarcurvatureKählermetric:anewperspective.AnnalesmathématiquesduQuébec,October2018,Volume42,Issue2,pp169–18912.Chen,Xiuxiong;Păuni,Mihai;Zeng,Yu.Ondeformationofextremalmetrics.arXiv:1506.01290.13.Chen,Xiuxiong;ChenGao.Gravitationalinstantonswithfasterthanquadraticcurvaturedecay(I).arXiv:1505.01790.14.Chen,Xiuxiong;Wang,Yuanqi.OntheregularityproblemofcomplexMonge-Ampereequationswithconicalsingularities.Ann.Inst.Fourier(Grenoble)67(2017),no.3,969--1003.15.Chen,Xiuxiong;Yuan,Fang.AnoteonRicciflowwithRiccicurvatureboundedbelow.J.ReineAngew.Math.726(2017),29--44.16.Chen,Xiuxiong;Li,Long;Păuni,Mihai.ApproximationofweakgeodesicsandsubharmonicityofMabuchienergy.Ann.Fac.Sci.ToulouseMath.(6)25(2016),no.5,935--957.17.Chen,Xiuxiong;Huang,Hongnian;Sheng,Li.TheinteriorregularityoftheCalabiflowonatoricsurface.Calc.Var.PartialDifferentialEquations55(2016),no.4,Art.106,28pp.18.Chen,Xiuxiong;Wang,Yuanqi.C2,α-estimateforMonge-AmpèreequationswithHölder-continuousrighthandside.Ann.GlobalAnal.Geom.49(2016),no.2,195--204.19.Chen,Xiuxiong;Wang,Yuanqi.Besselfunctions,heatkernelandtheconicalKähler-Ricciflow.J.Funct.Anal.269(2015),no.2,551--632.20.Chen,Xiuxiong;Wang,Yuanqi.Onfour-dimensionalanti-self-dualgradientRiccisolitons.J.Geom.Anal.25(2015),no.2,1335--1343.21.Chen,Xiuxiong;Donaldson,Simon;Sun,Song.Kähler-EinsteinmetricsonFanomanifolds.III:Limitsasconeangleapproaches2πandcompletionofthemainproof.J.Amer.Math.Soc.28(2015),no.1,235--278.22.Chen,Xiuxiong;Donaldson,Simon;Sun,Song.Kähler-EinsteinmetricsonFanomanifolds.II:Limitswithconeanglelessthan2π.J.Amer.Math.Soc.28(2015),no.1,199--234.23.Chen,Xiuxiong;Donaldson,Simon;Sun,Song.Kähler-EinsteinmetricsonFanomanifolds.I:Approximationofmetricswithconesingularities.J.Amer.Math.Soc.28(2015),no.1,183--197.24.Chen,Xiuxiong;Sun,Song.Calabiflow,geodesicrays,anduniquenessofconstantscalarcurvatureKählermetrics.Ann.ofMath.(2)180(2014),no.2,407--454.25.Chen,Xiuxiong;Donaldson,Simon.IntegralboundsoncurvatureandGromov-Hausdorfflimits.J.Topol.7(2014),no.2,543--556.26.Chen,Xiuxiong;Donaldson,Simon;Sun,Song.Kähler-Einsteinmetricsandstability.Int.Math.Res.Not.IMRN2014,no.8,2119--2125.27.Chen,Xiuxiong;Zhu,Meijun.Liouvilleenergyonatopologicaltwosphere.Commun.Math.Stat.1(2013),no.4,369--385.28.Chen,Xiuxiong;Wang,Bing.OntheconditionstoextendRicciflow(III).Int.Math.Res.Not.IMRN2013,no.10,2349--2367.29.Chen,Xiuxiong;Donaldson,Simon.VolumeestimatesforKähler-Einsteinmetricsandrigidityofcomplexstructures.J.DifferentialGeom.93(2013),no.2,191--201.30.Chen,Xiuxiong;Donaldson,Simon.VolumeestimatesforKähler-Einsteinmetrics:thethree-dimensionalcase.J.DifferentialGeom.93(2013),no.2,175--189.31.Chen,Xiuxiong;Zheng,Kai.Thepseudo-Calabiflow.J.ReineAngew.Math.674(2013),195--251.32.Chen,Xiuxiong;Sun,Song.SpaceofKählermetrics(V)—Kählerquantization.Metricanddifferentialgeometry,19--41,Progr.Math.,297,Birkhäuser/Springer,Basel,201233.Chen,Xiuxiong;He,Weiyong.ThecomplexMonge-AmpèreequationoncompactKählermanifolds.Math.Ann.354(2012),no.4,1583--1600.34.Chen,Xiuxiong;Wang,Bing.TheKählerRicciflowonFanomanifolds(I).J.Eur.Math.Soc.(JEMS)14(2012),no.6,2001--2038.35.Chen,Xiuxiong;Wang,Bing.SpaceofRicciflowsI.Comm.PureAppl.Math.65(2012),no.10,1399--1457.36.Chen,Xiuxiong;He,Weiyong.TheCalabiflowonKählersurfaceswithboundedSobolevconstant(I).Math.Ann.354(2012),no.1,227--261.37.Chen,Xiuxiong;Wang,Bing.TheKählerRicciflowonFanosurfaces(I).Math.Z.270(2012),no.1-2,577--587.38.Chen,Xiuxiong;He,Weiyong.Thespaceofvolumeforms.Int.Math.Res.Not.IMRN2011,no.5,967--1009.39.Chen,Xiuxiong;Tian,Gang;Zhang,Zhou.OntheweakKähler-Ricciflow.Trans.Amer.Math.Soc.363(2011),no.6,2849--2863.40.Chen,Xiuxiong;Weber,Brian.ModulispacesofcriticalRiemannianmetricswithLn2normcurvaturebounds.Adv.Math.226(2011),no.2,1307--1330.41.Chen,Xiuxiong;He,Weiyong.TheCalabiflowontoricFanosurfaces.Math.Res.Lett.17(2010),no.2,231--241.42.Chen,Xiuxiong;Wang,Bing.RemarksonKählerRicciflow.J.Geom.Anal.20(2010),no.2,335--353.43.Chen,Xiuxiong;Li,Haozhao.StabilityofKähler-Ricciflow.J.Geom.Anal.20(2010),no.2,306--334.44.Chen,Xiuxiong;Sun,Song;Tian,Gang.AnoteonKähler-Riccisoliton.Int.Math.Res.Not.IMRN2009,no.17,3328--3336.45.Chen,Xiuxiong;Li,Haozhao;Wang,Bing.Kähler-Ricciflowwithsmallinitialenergy.Geom.Funct.Anal.18(2009),no.5,1525--1563.46.Chen,Xiuxiong.SpaceofKählermetrics.III.OnthelowerboundoftheCalabienergyandgeodesicdistance.Invent.Math.175(2009),no.3,453--503.47.Chen,Xiuxiong;Tang,Yudong.Testconfigurationandgeodesicrays.Géométriedifférentielle,physiquemathématique,mathématiquesetsociété.I.AstérisqueNo.321,(2008),139--167.ISBN:978-285629-258-48.Chen,Xiuxiong;Li,Haozhao.TheKähler-RicciflowonKählermanifoldswith2-non-negativetracelessbisectionalcurvatureoperator.Chin.Ann.Math.Ser.B29(2008),no.5,543--556.49.Chen,Xiuxiong;Tian,Gang.GeometryofKählermetricsandfoliationsbyholomorphicdiscs.Publ.Math.Inst.HautesÉtudesSci.No.107,(2008),1--107.50.Chen,Xiuxiong;Lebrun,Claude;Weber,Brian.OnconformallyKähler,Einsteinmanifolds.J.Amer.Math.Soc.21(2008),no.4,1137--1168.51.Chen,Xiuxiong;He,Weiyong.OntheCalabiflow.Amer.J.Math.130(2008),no.2,539--570.52.Chen,Xiuxiong.OnKählermanifoldswithpositiveorthogonalbisectionalcurvature.Adv.Math.215(2007),no.2,427--445.53.Chen,Xiuxiong;Ding,Weiyue.Ricciflowonsurfaceswithdegenerateinitialmetrics.J.PartialDifferentialEquations20(2007),no.3,193--202.54.Chen,Qing;Chen,Xiuxiong;He,Weiyong.Singularanglesofweaklimitingmetricsundercertainintegralcurvaturebounds.PacificJ.Math.231(2007),no.1,35--49.55.Chen,Xiuxiong;Lu,Peng;Tian,Gang.AnoteonuniformizationofRiemannsurfacesbyRicciflow.Proc.Amer.Math.Soc.134(2006),no.11,3391--3393.56.Chen,Xiuxiong;Tian,Gang.RicciflowonKähler-Einsteinmanifolds.DukeMath.J.131(2006),no.1,17--73.57.Chen,Xiuxiong.OnthelowerboundofenergyfunctionalE1.I.AstabilitytheoremontheKählerRicciflow.J.Geom.Anal.16(2006),no.1,23--38.58.Chen,Qing;Chen,Xiuxiong;Wu,Yingyi.ThestructureofHCMUmetricinaK-surface.Int.Math.Res.Not.2005,no.16,941--958.59.Chen,Xiuxiong;Tian,Gang.PartialregularityforhomogeneouscomplexMonge-Ampereequations.C.R.Math.Acad.Sci.Paris340(2005),no.5,337--340.60.Chen,Xiuxiong;Tian,Gang.UniquenessofextremalKählermetrics.C.R.Math.Acad.Sci.Paris340(2005),no.4,287--290.61.Chen,Xiuxiong.AnewparabolicflowinKählermanifolds.Comm.Anal.Geom.12(2004),no.4,837--852.62.Calabi,Eugenio;Chen,Xiuxiong.ThespaceofKählermetrics.II.J.DifferentialGeom.61(2002),no.2,173--193.63.Chen,Xiuxiong.RecentprogressinKählergeometry.ProceedingsoftheInternationalCongressofMathematicians,Vol.II(Beijing,2002),273--282,HigherEd.Press,Beijing,2002.64.Chen,Xiuxiong;Tian,Gang.RicciflowonKähler-Einsteinsurfaces.Invent.Math.147(2002),no.3,487--544.65.Chen,Xiuxiong.CalabiflowinRiemannsurfacesrevisited:anewpointofview.Internat.Math.Res.Notices2001,no.6,275--297.66.Chen,Xiuxiong;Tian,Gang.RicciflowonKählermanifolds.C.R.Acad.Sci.ParisSér.IMath.332(2001),no.3,245--248.67.Guan,Daniel;Chen,Xiuxiong.Existenceofextremalmetricsonalmosthomogeneousmanifoldsofcohomogeneityone.Loo-KengHua:agreatmathematicianofthetwentiethcentury.AsianJ.Math.4(2000),no.4,817--829.68.Chen,Xiuxiong.ThespaceofKählermetrics.J.DifferentialGeom.56(2000),no.2,189--234.69.Chen,Xiuxiong.OnthelowerboundoftheMabuchienergyanditsapplication.Internat.Math.Res.Notices2000,no.12,607--623.70.Chen,Xiuxiong.ObstructiontotheexistenceofmetricwhosecurvaturehasumbilicalHessianinaK-surface.Comm.Anal.Geom.8(2000),no.2,267--299.71.Chen,Xiuxiong.ExtremalHermitianmetricsonRiemannsurfaces.Calc.Var.PartialDifferentialEquations8(1999),no.3,191--232.72.Chen,Xiuxiong.Remarksontheexistenceofbranchbubblesontheblowupanalysisofequation−Δu=e2uindimensiontwo.Comm.Anal.Geom.7(1999),no.2,295--302.73.Chen,Xiuxiong.ExtremalHermitianmetricsonRiemanniansurfaces.Internat.Math.Res.Notices1998,no.15,781--797.74.Chen,Xiuxiong.WeaklimitsofRiemannianmetricsinsurfaceswithintegralcurvaturebound.Calc.Var.PartialDifferentialEquations6(1998),no.3,189--226.75.Chen,Xiuxiong;Peng,Chia-Kuei.Deformationofsurfacespreservingprincipalcurvatures.Differentialgeometryandtopology(Tianjin,1986–87),63--70,LectureNotesinMath.,1369,Springer,Berlin,1989. 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