职称：教授
所在部门：数学物理教研室

14101E 53532 liuzj at math dot pku dot edu dot cn


教育经历
1986 北京大学 博士
1984 北京大学 硕士
1981 吉林大学 学士


工作经历
1994- 北京大学数学科学学院 教授
1991-1993 北京大学数学科学学院 副教授
1986-1990 北京大学数学系 讲师

代表作
Cooperative systems in the periodic envionment , Acta Appl. Math. Sinica 8 (1985), 423-433.

Phase-locking equations with periodic pertubations (with L.-C. Xu), Chinise Ann. Math. 7 (1987), 699-705.

Remarks on integrable systems with rank 2 pertubations, Lett. Math. Phys.19 (1990), 109-114.

Quantum integrable systems constrained on the sphere, Lett. Math. Phys. 20(1990), 151-157.

Classical R-matrix associated to semi-simple Lie algebras, in " Nonlinear physics" ed. by C.-H. Gu, Springer-Verlag, (1990).

Quantization and quantum integrability of C. Neumann system, Chinise advances in Math.21(1992), 202-212.

A note on C. Neumann system, Acta Appl. Math. Sinica 8 (1992), 1-4.

Generalized Yang-Baxter equations, Koszul operators and Poisson Lie groups(with M.Qian), J. Diff. Geometry 35 (1992), 399-414.

Gauge invariant quantizations on Riemannian manifolds (with M.Qian), Trans. A.M.S. 331 (1992), 321-333.

On quadratic Poisson structures ( with P.Xu), Lett. Math. Phys. 26 (1992), 33-42.

R-matrice methods for generalized Toda lattice, Acta Math. Sinica 36 (1993), 525-532.

Exact Lie bialgebroids and Poisson groupoids (with P.Xu), Geom. and Funtional Anal. 6 (1996), 138-145.

Manin triples for Lie bialgebroids (with A. Weinstein and P. Xu), J. Diff. Geometry 45 (1997), 547-574.

Dirac structures and Poisson homogeneous spaces (with A.Weinstein and P.Xu), Commun. Math. Phys. 192 (1998), 121-144 .

Generalized Lie bialgebras ( with Y.-J. Tan), Commun. in Algebra 26 (1998), 2293-2319.

Contractions of Lie bialgebras and quantum algebras (with X.-F. Liu), Commun. Theor. Phys. 32 (1999),233 -240.

Some Remarks on Dirac structures and Poisson Reductions, Banach Center Publ., Vol. 51 (2000),165-173.

On reduced Poisson actions (with Q.-L. Yang), Science in China, 30 (2000), 289-296.

Dirac structures and dynamical $r$-matrice (with P. Xu), Ann. Inst. Fourier, 51 (2001), 834-859.

Dynamical r-matrices coupled with Poisson manifolds(with P. Xu),Progress of Theor. Physics , Suppl. 144 (2002),133-140.

The Local structure of Lie bialgbroids (with P. Xu), Lett. Math. Phys., 61 (2002), 12-28.

Poissin actions and Lie bialgebroid morphisms( with L.G. He and D.S. Zhong), In: Quantization, Poisson Brackets and Beyond, T. Voronov (ed.), Contemp. Math., Vol. 315, Amer.Math. Soc., ( 2002),172-181.

On transitive Lie bialgebroids and Poisson groupoids (with Z.Chen), Diff. Geom.& Its Appl. (to appear)

科研项目
1999 -2004Poisson 几何国家杰出青年基金

1997 -1999教委跨世纪人才基金教育部

1996 -2005可积系统国家攀登计划

1993 -2002量子群代数群数学天元基金

主讲课程
2004.9-2005.1经典力学的数学方法研究生

2004.3-2004.6近代数学物理方法研究生

2004.3-2004.6古今数学思想全校本科生通选

2003.9 -2004.1几何学数学学院03级本科生

2003.3 -2003.6经典力学的数学方法数学学院研究生

2002.9 -2003.1几何学数学学院02级本科生

2002.3 -2002.6微分流形数学学院研究生

2001.9 -2002.1近代数学物理方法数学学院研究生

1999.3- 1999.7算子代数数学学院研究生

1998.9 -1999.1拓扑学数学学院本科生

1997.3-1997.7高等数学地质系本科生

1996.3-1996.7微分几何数学学院94级本科生

社会兼职
2003 -中国科学编委

2000-2003北京大学工会副主席

1999 -北大学报编委

荣誉获奖
1994教委科技进步二等奖