个人简介
Career
2007-2010:RTG/SimonsPostdoc,StonyBrookUniversity
2010-2011:NSFPostdoc,NewYorkUniversity
2011-2018:AssistantProfessor,UniversityofPennsylvania
2019-Present:AssociateProfessor,ShanghaiTech
Education
2001:B.S.inElectricalEngineering,VirginiaTech
2001:B.S.inMathematics,VirginiaTech
2007:Ph.D.inMathematics,UniversityofWisconsin-Madison
研究领域
DifferentialGeometry,particularlyKahlergeometry
Analysis,particularlygeometric(andgeometricallyinspired)PDE
近期论文
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(withMartinCitoler-Saumell)Agaptheoremforhalfconformally-flatmanifolds(2018,inpeerreviewprocess)
GeneralizedK\ahlerTaub-NUTsandtwoexceptionalinstantons,{arXiv:1602.06178}(2016,inpeerreviewprocess)
Classificationofpolytopemetricsandcompletescalar-flatK\ahler4-manifoldswithtwosymmetries,{arXiv:1509.04585}(2015,inpeerreviewprocess)
Curvatureestimatesforcritical4-manifoldswithalowerRiccicurvaturebound,{arXiv:1309.3334}(Completed2014,inpeerreviewprocess)
Harnackinequalitiesforcritical4-manifoldswithaRiccicurvaturebound,{arXiv:1309.0863}{NewYorkJ.Math.23(2017)1001–1021.}
EnergyandasymptoticsofRicciflat4-manifoldswithaKillingfield,{arXiv:1308.499}{ToappearintheProceedingsoftheAMS}
FirstbettinumbersofK\ahlermanifoldswithweaklypseudoconvexboundary,{arXiv:1110.4571}(ToappearintheMichiganMathematicsJournal)
ModuliSpaceofcompactRiccisolitons,{InternationalMathematicsResearchNotices}doi:10.1093/imrn/rnq055(2010)
(withXiuxiongChenandClaudeLeBrun)OnconformallyK\ahler,Einsteinmanifolds,{JournaloftheAMS}21(2008)no4
(withXiuxiongChen)ModulispacesofcriticalRiemannianmanifoldswith$L^{\frac{n}{2}}$normcurvaturebounds,{AdvancesinMathematics},availableonlinedoi:10.1016/j.aim.2010.08.007(2010)
CompactificationoftheModuliSpaceofExtremalK\ahlerMetrics,Ph.D.Thesis,UniversityofWisconsin-Madison(2007)
(withWilliamFloydandJeffreyWeeks)TheAchillesHeelof$O(3,1)$?ExperimentalMathematics11(2002)no1
(withH.F.VanLandingham)Modelingofcomputationalfluiddynamicdatawithartificialneuralnetworks.PresentedattheIASTEDInternationalConferenceonArtificialIntelligenceandApplications,Marbella,Spain,2001
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