Academy of Mathematics and Systems Science (AMSS) top 10 scientific research advancement of  2009 were released. The titles are as follows:

1. Topological Characterization of Geometrically Finite Rational Maps----by Cui Guizhen

2. High Order Numerical Approximation to Delta Function Integrals with Application to Computational High Frequency Waves----by Wen Xin

3. Analysis and Synthesis of Boolean (control) Networks----by Cheng Daizhan

4. Symbolic-numeric Method for Solving Polynomial Systems----by Zhi Lihong

5. Controllability and Obsevability of Stochastic Partial Differential Equations----by Zhang Xu

6. Study on Domain Decomposition Methods for Maxwell's Equations and Some Related Problems----by Hu Qiya

7. On the Global Smooth Solutions to the Incompressible Visco-elastic Fluid System----by Zhang Ping

8. The Rigidity Theorem for Focusing Critical Schrodinger Equation----by Zhang Xiaoyi, ect.

9. A New Characterization of Supercompactness and Applications----by Feng Qi

10. On the Vertex Operators at High Level of the Elliptic Quantum Algebra----by Ding Maoxiang