Majoring in pure mathematics can lead to various career opportunities, especially with a BS or MS, but pursuing a PhD is essential for research roles. Research positions often require strong academic performance, typically Class 1 or 2 honors, and familiarity with graduate-level mathematics. Government organizations, like the NSA, actively seek mathematicians with pure math backgrounds. For those interested in teaching, obtaining a teaching degree alongside a math major is beneficial, with a focus on genuinely wanting to help students and mastering the subject. A double major, particularly in astrophysics or computer science, can enhance job prospects and competitiveness for graduate programs. While a pure math degree can lead to research in areas like differential geometry or signal processing, combining it with physics may be necessary for astrophysics-focused careers. Overall, diversifying academic interests can provide a broader range of opportunities in both teaching and research.