本项目主要研究数学和理论物理中的精确可解模型，研究内容包括经典力学和量子力学中的完全可积系统、特殊函数、正交多项式以及量子信息中的完美量子态传输。 .我们将应用代数方法，特别是二次型代数及其表示，作为主要研究工具。

Our main goal is studying the exactly solvable models in mathematical and theoretical physics including completely integrable systems in classical and quantum mechanics, special functions and orthogonal polynomials and perfect state transfer in quantum information. The main tool is application of algebraic methods, especially quadratic algebras and their representations.