I came across this article Advice to a Young Mathematician. I think that this is a very relevant read, even for the younger members of the community. The article starts off:
The most important thing that a young mathematician needs to learn is of course mathematics. However, it can also be very valuable to learn from the experiences of other mathematicians. The five contributors to this article were asked to draw on their experiences of math- ematical life and research, and to offer advice that they might have liked to receive when they were just setting out on their careers....
For this week, let's focus on Sir Michael Atiyah's writeup, with sections of Warning, Motivation, Psychology, Problems versus Theory, The Role of Curiosity, Examples, Proof, Strategy, Independence, Style.
What is the main takeaway that you had? What speak the loudest to you?