陈秀雄 - 上海科技大学 - 数学科学研究所

个人简介

Career 2017.11至今上海科技大学数学科学研究所创始所长、DistinguishedAdjunctProfessor 2010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 Education 1989-1994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

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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:1605.01374 8.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),3145-3173 11.Chen,Xiuxiong.OntheexistenceofconstantscalarcurvatureKählermetric:anewperspective.AnnalesmathématiquesduQuébec,October2018,Volume42,Issue2,pp169–189 12.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,2012 33.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.