The Key Laboratory of Pure Mathematics and Combinatorics (LPMC) was approved by the Ministry of Education as a key open laboratory in Aug, 2000. Many research subjects, such as information science and computational mathematics, have been growing stronger and stronger as well as the three national key subjects: pure mathematics, probability and statistics, and applied mathematics. These subjects have a long history, and have made many important achievements for the scientific research and education of the country. Moreover, there are strong research groups in the field of differential geometry, nonlinear analysis, topology, Lie group and Lie algebra, probability and statistics, and informatics. In recent years, many achievements were obtained in nonlinear analysis, combinatorics, global differential geometry, topology, algorithmic informatics and coding theory, and signal processing. There are now 33 researchers and 3 technicians in the lab, including 28 professors (among which there are 23 Ph. D. advisors), 4 associate professors, and one lecture. Twenty-three of them have doctor's degree.