bio  website  math.berkeley.edu/~cgerig 

location  UC Berkeley  
age  26  
visits  member for  4 years, 4 months 
seen  2 hours ago  
stats  profile views  6,745 
After doing my BS in engineering physics (with experimental research on gravity), I started my PhD in experimental atomic physics. But I quit to do math, and am now a 3rd year student of Michael Hutchings.
Current interest: the interplay between gauge theory and symplectic geometry
2d

revised 
actual dimension of concrete moduli space of holomorphic curves vs its virtual dimension
added 307 characters in body 
May 19 
revised 
actual dimension of concrete moduli space of holomorphic curves vs its virtual dimension
clarifications 
May 19 
comment 
actual dimension of concrete moduli space of holomorphic curves vs its virtual dimension
The branch points are in the image; it's the critical values that you're really counting. 
May 19 
comment 
How to learn QFT from mathematical perspective?
Based on the OP's first sentence, his honest interest must be in TQFT, for which @Vectornaut's answer hits. As such, it is really not learning QFT. 
May 19 
revised 
actual dimension of concrete moduli space of holomorphic curves vs its virtual dimension
added 343 characters in body 
May 18 
comment 
How to learn QFT from mathematical perspective?
This should be upvoted way more than it currently is. We should also add the 1994 IAS lecture notes "Geometry and QFT". 
May 18 
answered  actual dimension of concrete moduli space of holomorphic curves vs its virtual dimension 
May 17 
comment 
HochschildSerre spectral sequence
This is found in the standard book on group cohomology, by Ken Brown. In particular, yes, it's the usual structure (given in Chapter III.8.2 of that book). 
Apr 28 
comment 
Framebundle reduction from spinorbundle reduction
Why does it fail to be transitive for $d\ge 10$? 
Apr 4 
comment 
*The* open problem in General Relativity?
That means you're not looking for mathematical problems which relate GR to QFT. In which case, I haven't heard of there being the problem on everyone's minds. But, you'll be interested in the mathematical seminar paper of Penrose, Some Unsolved Problems in Classical General Relativity. 
Apr 3 
comment 
Nilpotence of the stable Hopf map via framed cobordism
@Qiaochu: It's more of a hunch. For some manifolds, vanishing signature implies framednullcobordance. 
Apr 2 
revised 
Universal coefficient theorem for group homology and cohomology
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Apr 2 
revised 
Universal coefficient theorem for group homology and cohomology
added 284 characters in body 
Apr 1 
comment 
Universal coefficient theorem for group homology and cohomology
This isn't a UCT, though. You're only swapping $M$coefficients for $M^\ast$coefficients. 
Apr 1 
answered  Universal coefficient theorem for group homology and cohomology 
Mar 31 
comment 
Nilpotence of the stable Hopf map via framed cobordism
I believe the answer is based on the existence of the signature, a cobordisminvariant. The 4torus has a welldefined signature $\sigma(H^2(\mathbb{T}^4;\mathbb{R}),\smile)$, given geometrically in terms of the intersection pairing of cycles in 2dimensional homology. But this doesn't exist for the 3torus or 2torus. 
Mar 27 
answered  Why not develop a Hamiltonianbased Morse theory? 
Mar 27 
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Mathematical statistical qm bookrecommendation
Quantum Physics: A Functional Integral Point of View by Glimm and Jaffe (they're theoretical physicists). That's the closest I can think of, which should suffice since it is rigorous, but I find it hard to follow (they leave a lot up to the reader). 
Mar 20 
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Pseudomanifolds and Poincaré duality
Oh I thought "Poincare duality space" just meant $H^k\approx H_{nk}$ and not necessarily induced by maps, sorry. 
Mar 20 
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Pseudomanifolds and Poincaré duality
Ah, the "kissing banana" is not a pseudomanifold (doesn't satisfy second bullet point), nevermind! 