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个人简介

教育背景 1998-2002,武汉大学数学与统计学院,数学基地班 本科 2002-2007,北京大学数学与科学学院,方向:低维拓扑 博士 博士论文:《螺线圈作为三维流形中的吸引子》 工作经历 2007.07-2012.12 同济大学数学系 讲师 2011-2012 法国勃艮第数学研究所(IMB) 国家公派博士后 2012.12-2017.12 同济大学数学系 /数学科学学院 副教授 2017.12-至今 同济大学数学科学学院 教授

研究领域

基础数学:低维拓扑上的叶状结构、动力力系统。特别是taut叶状结构、Anosov流、Smale流与纽结论、扩张吸引子的整体实现、拓扑等价分类

近期论文

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The realization of Smale solenoid type attractors in 3-manifolds. (with Ma, jiming) , Topology Appl. 154 (2007), no. 17,3021–3031 Summary MR Article Lorenz like Smale flows on three-manifolds. Topology Appl. 156 (2009), no. 15,2462–2469.Summary MR Article Regular level sets of Lyapunov graphs of nonsingular Smale flows on 3-manifolds. Discrete Contin. Dyn. Syst. 29 (2011), no. 3, 1277–1290. Summary MR Article Genus two Smale-Williams solenoid attractors in 3-manifolds. (with Ma, jiming) , J. Knot Theory Ramifications 20 (2011), no. 6, 909–926. Summary MR Article The templates of non-singular Smale flows on three manifolds. Ergodic Theory Dynam. Systems 32 (2012), no. 3, 1137–1155. Summary MR Article Lyapunov graphs of nonsingular Smale flows on S1×S2. Trans. Amer. Math. Soc. 365 (2013), no. 2, 767–783. Summary MR Article A note on homotopy classes of nonsingular vector fields on S3. C. R. Math. Acad. Sci. Paris 352 (2014), no. 4, 351–355. Summary MR Article Behavior 0 nonsingular Morse Smale flows on S3. Discrete Contin. Dyn. Syst. 36 (2016), no. 1, 509–540. Summary MR Article A spectral-like decomposition for transitive Anosov flows in dimension three. (with Francois Beguin and Christian Bonatti) Math. Z. 282 (2016), no.1, 509-540. Summary MR Article Every 3-manifold admits a structurally stable nonsingular flow with three basic sets. Proc. Amer. Math. Soc. 144 (2016), no.11,4949-4957. Summary MR Article Building Anosov flows on 3-manifolds. (with Francois Beguin and Christian Bonatti) Geom. Topol. 21 (2017), no.3, 1837-1930.Summary MR Article Affine Hirsch foliations on 3-manifolds. Algebr. Geom. Topol. 17 (2017), no. 3, 1743-1770.Summary MR Article

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