Terry Tao, a Fields’ Medalist, has advice for students starting out in mathematical research:
1. Solving mathematical problems
2. There’s more to mathematics than grades and exams and methods
3. Ask yourself dumb questions – and answer them!
4. Write down what you’ve done
5. Make your work available
6. Work hard
7. On writing
8. Write a rapid prototype first
8. On time management
9. Continually aim just beyond your current range
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