姚成建 - 上海科技大学 - 数学科学研究所

个人简介

Career 2018.7-present, AssistantProfessor,ShanghaiTechUniversity. 2016.6-2018.6, ChercheurPostdoc,Université libredeBruxelles. 2016.1-2016.5, ViterbiEndowedPostdoctoralFellow,MSRI. 2015.6-2015.12, ChercheurPostdoc,Université libredeBruxelles. Education 2012-2015,Ph.DinMathematics,StonyBrookUniversity(Advisor:XiuxiongChen),May2015 2009-2012,UniversityofWisconsin,Madison 2005-2009,B.S.inMathematics, UniversityofScienceandTechnologyofChina (College:SpecialClassforGiftedYoung)

研究领域

Myresearchareaisdifferentialgeometry,inparticulargeometricanalysis.Themainstudiesareaboutthevarioustypesofgeometricstructuresonmanifolds,forinstancedifferentiablestructure,metricstructureandthespecialcurvaturestructuresusinganalyticmethods.Thosestructuresserveasthebackgroundsofmanyothertheories,mostremarkablyintheoreticalphysics

近期论文

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0.(withMarioGarcia-FernandezandVamsiPrithamPingali)Gravitatingvorticeswithpositivecurvature, https://arxiv.org/abs/1911.09616. 1.（withJoelFine)Areportonthehypersymplecticflow,submittedtoPAMQ. 2.（withJoelFine)Hypersymplecticfour-manifolds,theG2-Laplacianflowandextensionassumingboundedscalarcurvature.DukeMath.J. Volume167,Number18(2018),3533-3589. 3.(withHongnianHuangandYuanqiWang)Cohomogeneity-oneG2-Laplacianﬂowon7-torus,JournaloftheLondonMathematicalSociety,Vol.98,Issue2, 2018. 4.(withCristianoSpotti,SongSun)ExistenceanddeformationsofKahler-EinsteinmetricsonsmoothableQ-Fanovarieties.DukeMath.J.,Volume165,Number16(2016),3043-3083. 5.ContinuityMethodtoDeformConeAngle.TheJournalofGeometricAnalysis,1-18(2015). 6.ExistenceofWeakConicalKahler-EinsteinMetricsAlongSmoothHypersurfaces.MathematischeAnnalen,Volume362,Issue3,1287-1304(2015).