The Ph.D. in Fundamental Mathematics at Lanzhou University is a research‐oriented doctoral program offered under the first‑level discipline of Mathematical Sciences through the School of Mathematics and Statistics. This doctoral track emphasizes deep theoretical study and original research in the core areas of pure mathematics, aiming to cultivate scholars with a strong foundation in mathematical logic, analytical reasoning, abstraction, and rigor.

The program covers major branches of pure mathematics, including but not limited to:

• Algebra and Number Theory — structures, symmetries, and arithmetic properties of mathematical systems.

• Analysis — real and complex analysis, functional analysis, and related theoretical frameworks.

• Geometry and Topology — study of spatial structures, shapes, and their invariant properties.

• Mathematical Logic and Foundations — formal reasoning, set theory, model theory, and the theoretical basis of mathematics.

Doctoral candidates undertake independent, original research under faculty supervision, contributing to the development of mathematical theory through rigorous proof techniques and conceptual innovation. Training involves advanced coursework, research seminars, and collaborative study, preparing students to articulate and solve abstract problems that may have deep implications within mathematics and across related disciplines.

Graduates of the Fundamental Mathematics Ph.D. are prepared for careers in academic research and university teaching, positions at research institutions and national laboratories, and advanced analytical roles in industries that benefit from strong theoretical and logical reasoning skills—such as cryptography, quantitative modeling, and algorithm design. The program’s emphasis on foundational depth and research excellence equips students to push forward both the frontiers of mathematics and its connections to science and technology.

NOTE: The university may have additional program-specific eligibility requirements.
It is recommended to verify these on the official university website.