Category: Mathematical Life
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The Red Queen Effect in Mathematics
“Now, here, you see, it takes all the running you can do, to keep in the same place.” The Red Queen, Through the Looking-Glass In Lewis Carroll’s whimsical tale, Alice finds herself in a strange land where constant motion is required just to maintain position. What Carroll intended as fantasy has become a powerful metaphor…
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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…