陈柏辉 - 四川大学

个人简介

教育经历时间单位学位 1987.9-1991.7 北京大学数学系学士 1991.9-1996.5 四川大学数学系硕士 1996.9-2001.5 美国威斯康星大学数学系博士工作经历时间单位职务 2001.6-2004.5 麻省理工学院 Moore Instructor 2004.6-至今四川大学数学学院副院长科研项目编号项目名称 11431001 辛拓扑与规范场中的几何不变量 11521061 几何拓扑中的模空间理论 11526207 数学物理交叉融合平台II 11221101 几何拓扑中的模空间理论 11426233 数学物理交叉融合平台I 11071173 弦论中的相对理论 10631050 与弦论相关的几何不变量 2006CB805905 理论物理中的若干数学问题学术荣誉 2011－2013 新世纪优秀人才计划（教育部）

研究领域

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Gluing Principle for Orbifold Stratified Spaces. Ruan cohomologies of the compactifications of resolved orbifold conifolds Hamiltonian Gromov–Witten invariants onℂn+1 with S1-action. Corrigendum to “A regularity theorem of the Abreu equation”[J. Math. Anal. Appl. 431 (2015) 169–185]. A regularity theorem of the Abreu equation. A quantum modification of relative cohomology A quantum modification of relative Chen-Ruan cohomology Uniform K-stability for extremal metrics on toric varieties Ruan’s conjecture on singular symplectic flops of mixed type Interior estimates for the n-dimensional Abreuʼs equation A new gluing recursive relation for linear Sigma model ofℙ1-orbifold Interior regularity on the Abreu equation The Abreu equation with degenerated boundary conditions Smoothness on bubble tree compactified instanton moduli spaces Virtual manifolds and localization Singular symplectic flops and Ruan cohomology A deRham model for Chen-Ruan cohomology ring of Abelian orbifolds A smooth compactification of moduli space of instantons and its application A two-step Monge-Ampère procedure for solving a fourth order PDE for affine hypersurfaces with constant curvature. A class of nonlinear second-order elliptic equations related to spacelike hypersurfaces in Minkowski spaces.