There are many employment channels for doctoral students in mathematics. The following are some major employment fields and positions:

1. Academia: A Ph.D. in mathematics can be a professor, researcher, lecturer, etc. Teaching and research in universities or research institutions. In addition, you can also apply for various scientific research projects, such as the National Natural Science Foundation and the National Key R&D Plan.

2. Financial industry: Many financial institutions, such as banks, securities companies and insurance companies. , need mathematical professionals for risk management, investment analysis, quantitative trading, etc. Ph.D. in mathematics can hold positions as data analyst, quantitative analyst and risk manager in these institutions.

3. Technology companies: Many technology giants, such as Google, Microsoft, Alibaba and Tencent. , has a large number of mathematics-related positions, such as algorithm engineer, data scientist, artificial intelligence researcher, etc. PhDs in mathematics can engage in software development, big data analysis and artificial intelligence research in these companies.

4. Government departments: The Government Statistics Bureau, the National Bureau of Statistics and other departments need mathematics professionals to conduct data analysis and policy formulation. A Ph.D. in Mathematics can serve as a statistical analyst and a policy researcher in these departments.

5. Manufacturing: Many manufacturing enterprises need talents majoring in mathematics to optimize production and control quality. Ph.D. in Mathematics can hold the positions of production engineer and quality engineer in these enterprises.

6. Consulting industry: Management consulting, strategic consulting and other industries need professionals with data analysis ability. A doctor of mathematics can serve as a consultant and project manager in these companies.

7. Education industry: A doctor of mathematics can also be a teacher, lecturer, etc. Teaching and training in universities and training institutions.

8. Other industries: Ph.D. in mathematics can also engage in research and development in aerospace, physics, biology and other fields.