Tag: Research Advice
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From Time Banking to Research Portfolio: A Better Metaphor for Mathematical Research
You’ve probably encountered this motivational quote in some form: “Imagine you had a bank account that deposited 86,400 seconds each morning. The account carries no balance from day to day, allows no overdraft, and every evening cancels whatever time you failed to use. What would you do? Draw out every second! Well, you have such…
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Navigating the Tension: Goal-Setting vs. Exploration in Mathematical Research
Recently, I’ve been thinking about a fundamental tension that every mathematician faces: the conflict between systematic goal-setting and open-ended exploration. This tension became particularly clear to me after reading Kenneth Stanley and Joel Lehman’s book “Why Greatness Cannot Be Planned: The Myth of the Objective.” The Stepping Stone Problem Stanley and Lehman argue that truly…