A.近五年来承担的学术研究课题:
(1)2005.1---2007.12 Carnot-Caratheodory空间上的变分问题, 国家自然科学基金项目(10471063), 20万,项目负责人
(2)2003.12---2005.11? 自由不连续问题及其在图像处理上的应用, 教育部博士点基金, 6.5万,项目负责人
(3)2002.1---2004.12? Heisenberg群上的分析,江苏省“青蓝工程”学科带头人基金, 5万; 项目负责人
B.在国内外主要刊物上发表的学术论文:
(1) Lipschitz continuity for H-convex functions in Carnot groups, Communications in Contemporary Mathematics,2006(2), 署名次序(2)
(2) Horizontal Connection and? Horizontal Mean Curvature in Carnot Groups,Acta Mathematica Sinica,2006(2) 署名次序(2).
(3) Inequalities for weighted mean of r-convex functions, Proc. Amer. Math. Soc. 133(2005)1639-1646. 署名次序(2).
(4) Characterisation? of? the sub-Riemannian isometry groups of H-type groups, Bull. Austral. Math. Soc. 70(1)(2004),87-100.署名次序(2).
(5)Extended mean values and r-Convex Functions in Carnot Groups, J. of Math. Anal. & Appl. 347(2),2004, 署名次序(2).
(6) On some sub-Riemannian objects in hypersurfaces of sub-Riemannian manifolds, Bull. Austral. Math. Soc. 70(2004)177-198.署名次序(2).
(7)A multiplicity results of a system of? variational inequalities, J. Partial Diff. Eqs. 14(3), 2001, 署名次序(1).
(8)Inequalities of Hadamard Type for r-Convex Functions in Carnot Groups,? Acta? Math. Appl. Sinica. English Series, 20(1),2004, 署名次序(2).
(9)关于Heisenberg群上的BV函数, 数学年刊, 24A(5),2003, 署名次序(2)
(10)随机波动率模型下有配股的期权定价,应用概率统计,2005(1),署名次序(2)
C.获得的学术研究表彰/奖励
(1)江苏省“青蓝工程”学术带头人,江苏省教育厅,2003,署名次序(1);
(2)Geometric Measure Theory,第十一届全国优秀科技图书奖一等奖;第六届国家图书奖提名奖;署名次序(2).