"In mathematics, you don't understand things. You just get used to them."
Remembering that I'll be dead soon is the most important tool I've ever encountered to help me make the big choices in life. Because almost everything—all external expectations, all pride, all fear of embarrassment or failure—these things just fall away in the face of death, leaving only what is truly important. Remembering that you are going to die is the best way I know to avoid the trap of thinking you have something to lose. You are already naked. There is no reason not to follow your heart.
In the realm of quantum materials, the concept of topology provides a powerful lens through which we can understand and predict new phases of matter.