The discussion revolves around a student at Peking University considering a major change from physical geography to math due to a strong interest in mathematics. Despite having a decent GPA of 3.22 overall and 3.6 in math courses, the student faces challenges in meeting the requirements for a double degree and is unsure about the competitiveness of their application for a Master's or Ph.D. program in pure math, especially regarding financial support. Concerns are raised about the abstract nature of higher-level math and the importance of understanding the differences between a double degree and a minor. Ultimately, the student seeks clarity on their academic path and the feasibility of pursuing advanced studies in math while managing financial constraints.