I am a graduate student at Department of Mathematics at Louisiana State University, working under the supervision of Professor Scott Baldridge . Previously I have done MASt from the University of Warwick where my area of research was Singularity Theory.
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...when the flow of history goes collectively towards falsehood, the truth will shelter behind the broken wheel.
-- Dharmveer Bharti
My connection with Mathematics is at two levels: as a pursuit of truth , and as an antidote to life . Let me conclude with the three principals I keep in mind when doing Mathematics. These are not the direct quotes but my conclusion from long conversations (reference is given.)
Newton's Principle: "The best way to understand something is through examples." ( The Newton Project )
I read it a long time ago. It was in one of his correspondances, and the person other side was not a mathematician, which explains why I forgot their name.
Bott's Principle: "Being good in Mathematics is not about how much you know, rather it's about how you behave when you don't know." (The same can be said about science in general. 2000 interview of Raoul Bott. )
However, there is $10 reward for giving me the name of a good mathematician who does not have a tremendous breadth of knowledge!
Socrates's Last Teaching: "By all means, you should look for the answer of your questions/problems. If you do not find any, then it is not the end, but the beginning of something entirely new. All you need is to think through it, and find the answer/solution yourself." (cf Plato's Phaedo.)
I read this in a magazine, which did not have a reputation of being authentic. Later, decided to varify. The exact quote is not there. However, a glimpse of this is indeed there in 96a onwards. Rather, it appears more clearly in Republic book-VII - the same place where the concept of Mathematics is founded.)