1. Qiu Chengtong Prize: Qiu Chengtong is the founder of the famous Qiu Chengtong Prize, which aims to commend China scientists who have made outstanding contributions in theoretical physics and mathematics.
2. Calabi-Hill space: Qiu Chengtong and Italian mathematician Carabi put forward the concept of Calabi-Hill space. Calabi-Hill space is an important concept in algebraic geometry and plays an important role in understanding algebraic curves and surfaces in complex fields.
3. Jan-Mills Theory: Qiu Chengtong made an important contribution to Jan-Mills Theory. He proved the quantum version of Young-Mills theory, which is of great significance for understanding quantum field theory and chord theory.
4. Mathematical Physics: Qiu Chengtong also made important contributions to mathematical physics. He developed the mathematical theory of general relativity, which played an important role in understanding the large-scale structure of the universe.
5. Differential geometry: Qiu Chengtong also made important contributions to differential geometry, and he solved some important differential geometry problems, such as the positive mass conjecture.
6. Mathematics Education: Qiu Chengtong is committed to promoting mathematics education in China. He founded the Institute of Mathematics Science of the Chinese University of Hong Kong and promoted mathematics education all over the world.
Generally speaking, Qiu Chengtong's achievements in mathematics are rich and varied. He has made important contributions in many important fields of mathematics and played an important role in promoting the development of mathematics in China and improving its international status.