Choosing a second major alongside pure math can significantly impact career opportunities, especially for those considering a shift from academia to the corporate sector. Statistical economics is suggested as a strong option due to its alignment with actuarial work, which is financially rewarding but may not appeal to everyone. For those uninterested in statistics or actuarial careers, exploring engineering or applied math is recommended, as these fields often provide broader commercial applications. Discrete math is also mentioned as an intriguing alternative, particularly for those interested in computer science and software engineering. The conversation highlights the importance of aligning personal interests with career goals, suggesting that the choice of a second major should reflect both marketability and personal passion. Additionally, resources for specific programs in discrete math and applied math are shared, indicating that the availability of these degrees can vary by institution. Ultimately, the discussion emphasizes that practical experience and relevant coursework may be more critical than the specific title of a second major.