The Research Directions and Topics

The laboratory pays main attention to the theoretical researches on the core fields of mathematics, and gives consideration to their application as well. The inter-permeation of different branches of mathematics and interdisciplinary development are emphasized. The research objects are defined elaborately according to high international level.

The major research directions:

Algebraic structures,

Geometric and topologic structures,

Analytic structures and their interdisciplinary development and applications

Main topics:

 Arithmetic Algebraic Geometry and its applications

 Theory of global dynamic systems and its applications

 Geometric and algebraic problems in quantum field theory

 Non-linear partial differential equations in applied sciences  

 Mathematical physics and geometry