Fundamental Mathematics

Fundamental Mathematics not only serves as the foundation for advanced mathematical fields but also opens the door to the world of scientific research, high technology, and teaching. This major is particularly suitable for those with strong logical thinking, a love for abstraction, and a clear academic orientation.

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Introduction to the Fundamental Mathematics Major

Fundamental Mathematics is a core component of the mathematical science system, encompassing fields such as arithmetic, algebra, geometry, and analysis. This major aims to equip learners with a solid theoretical foundation and rigorous logical thinking, suitable for international students who love mathematics and wish to develop careers in research, education, or high-tech industries. The major particularly welcomes candidates with an orientation towards in-depth mathematical research and interdisciplinary applications.

Training Objectives

The training objectives of the Fundamental Mathematics major include:

1. Possess good ethics, a scientific spirit, healthy physical and mental well-being, social responsibility, and a spirit of dedication.
2. Master the basic theories and systematic professional knowledge in the field of mathematics, possess solid mathematical thinking abilities, and the capability to comprehensively apply mathematical theories to solve problems.
3. Understand the historical development and modern trends of mathematics, enhance creative and scientific research capabilities, and apply mathematical thinking to guide practical work.
4. Be proficient in a foreign language (Chinese or English), capable of undertaking teaching, research, or international exchange work.

Who is Suitable for This Major?

• Those with good logical thinking, who enjoy working with numbers and abstract concepts
• Individuals oriented towards pursuing academia, research, teaching, or continuing to a doctoral degree
• Candidates interested in developing fields like artificial intelligence, applied mathematical modeling, big data
• Those who appreciate clarity, systematics, discipline, and have a high capacity for independent work

Study Mode and Training Duration

The major is taught in a full-time format. The standard study duration is 3 years, with a maximum not exceeding 5 years. Depending on actual student conditions, early graduation or extension of study time may be applied for.

Core Courses of the Fundamental Mathematics Major

Major Internship

Graduate students must participate in academic and professional internship activities, including: assisting in undergraduate teaching, guiding experiments, practical work, course design, or participating in research and production work at enterprises or research institutes.

Additionally, students need to complete 1 mandatory credit through teaching assistant or administrative assistant work with the following requirements:

• Teaching Assistant: at least 48 class hours
• Administrative Assistant: workload equivalent to that of a teaching assistant

Training Method

A combination of individual mentorship and professional group guidance is applied.

• First Year: study foundational courses, explore research directions.
• End of Semester 2: students select and register for a thesis supervisor.
• End of Semester 3: conduct a mid-term evaluation; passing is required to proceed to the thesis stage.

The thesis supervisor will develop a personalized training plan based on each student's research interests.

Research Directions

1. Lie Algebras, Algebraic Groups and Quantum Groups
2. Algebraic Geometry
3. Special Functions and Number Theory
4. Algebraic Coding
5. Applications of Number Theory
6. Geometric Analysis
7. Operator Algebras and Noncommutative Geometry
8. Complex Variables and Complex Dynamical Systems
9. Fractal Geometry and Applications
10. Image Processing Based on Geometric Analysis
11. Complex Geometry
12. Algebraic Number Theory

Degree