For next term, I was wondering if I should take a course in non-commutative algebra. As of now, I'm focusing on mathematical physics, specifically on the mathematical side of string theory; mirror symmetry and field theories. I know that commutative algebra as well as algebraic geometry are...
Thanks for the recommendation with the hydrodynamics book.
So just to clarify,
The two subareas mentioned above aren't really interrelated, but if one wants to, it wouldn't be too overwhelming to work on both at once right? But in general, those two mentioned form the basis for modern research...
Alright thanks for all your help. So just to clarify,
The two subareas mentioned above aren't really interrelated, but if one wants to, it wouldn't be too overwhelming to work on both at once right? But in general, those two mentioned form the basis for modern research in mathematical physics...
Alright, I guess I will have to look at the MS book then. By the way, do you happen to have any list of mathematical physics books that you have used or know of?
I just see a lot of professors whose specialties include mathematical physics and some other relevant pure mathematical areas such as...
That book does look interesting, I will look further into it!
So what kind of prerequisites do you recommend to learn before tackling things like Witten's early papers? Do you also have in mind other good, relevant books or papers by other authors?
In addition to the topics you mentioned above...
I suppose it's the fact that mathematical physics isn't a well-defined term that led me to these questions in the first place!
I was actually looking into David Morrison, and it seemed like he's both a master mathematician and theoretical physicist, yet I don't think he really deals with...
Oh alright, so basically, I need to know both the general pure mathematics and theoretical physics to contribute to research in mathematical physics. So what exactly, do mathematical physicists specialize in if they don't really specialize any subfield of either pure mathematics or theoretical...
Thanks! There are a lot of useful things on the site. However, is there a particular reason he didn't mention any algebraic geometry texts in his books page? I heard that mathematical string theorists need to know a lot of k-theory and noncommutative geometry.
So I guess if people do...
Thanks for the detailed response. So basically, a mathematical physicist chooses a particular subfield of theoretical physics and applies pure mathematics to it? It appears that quantum gravity appears to be the most active field for this right now. In such a way of characterizing it though, it...
Thanks-you. Do you know specifically what kinds of fields there are? So what should I start off learning first and are there any specific good references/books that you would recommend? As for QFT, should I learn all the variants of it such as conformal field theory, topological qft, etc.
It...
Oh alright. How would one approach learning the prerequisites to understand research papers, and the modern research areas in mathematical physics? On that note, what are the main modern research areas?
Currently, I am a graduate student specializing in algebraic geometry. On the other hand, I have also become extremely interested in the mathematical physics. However, I am not sure what steps I should take to get to the modern frontiers of mathematical physics research. My mathematical...