bio  website  math.berkeley.edu/~theojf 

location  Berkeley  
age  29  
visits  member for  5 years 
seen  8 hours ago  
stats  profile views  14,179 
I am a recent graduate from UC Berkeley. Starting Fall 2013, I am a Boas Assistant Professor at Northwestern University. My research is broadly centered on quantum field theory — my interests include category theory, representation theory, homological algebra, algebraic topology, Poisson geometry, and theoretical physics.
8h

accepted  Which real Pin groups agree? 
1d

comment 
Chiral categories versus braided monoidal categories
I think it's not quite right to think of a chiral algebra as an $E_2$ algebra. The latter should give examples of the former (up to some framing, perhaps), but chiral algebras should not, in general, be "locally constant". Think about a much less categorical setting of functions. Locally constant functions are very different from holomorphic functions. Or am I misunderstanding the notion of "chiral algebra"  is there a "de Rham" that I missed somewhere? 
Oct 29 
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What are the “correct” conventions for defining Clifford algebras?
I second @KConrad, since you can walk down the hall and knock on his door  my memory is that he is often in, and usually happy to talk to graduate students. And he certainly is sensitive to other conventions issues related to Clifford algebras in his Lie theory classes. If you get an answer, do be sure to post it here, of course. 
Oct 24 
comment 
Which real Pin groups agree?
Great, I'll take a look. 
Oct 24 
awarded  Nice Question 
Oct 24 
comment 
Which real Pin groups agree?
Why does $\phi$ commute with $\tau$? Indeed, let $\phi: \mathrm{Cliff}(4,0) \to \mathrm{Cliff}(0,4)$ be the isomorphism. It identifies a generator $x$ with a cubic $yzw$ (for some arbitrary ortho(normal up to sign) bases). Then $\phi(\tau(x)) = \phi(x) = yzw$, whereas $\tau(\phi(x)) = \tau(yzw) = wzy = yzw$. 
Oct 21 
asked  Which real Pin groups agree? 
Oct 19 
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“Nice” functions on infinitedimensional space of germs of continuous functions at a point
... with respect to analytic functions is $\mathrm{Spec}($this subring$)$. 
Oct 19 
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“Nice” functions on infinitedimensional space of germs of continuous functions at a point
I agree that $\mathrm{Spec}(\mathbb C\llbracket(ax)\rrbracket)$ is an (I hesitate to say "the") infinitesimal neighborhood the point $x=a$. But it is not the neighborhood on which germs of analytic functions are defined, which is a little bigger. Indeed, an analytic function has a power series whose radius of convergence is positive; this happens iff the coefficients of the power series grow slower than some exponential. So I would say that $\mathbb C\llbracket(ax)\rrbracket$ has a subalgebra consisting of those power series with positive radius of convergence, and the germ of a point ... 
Oct 16 
awarded  Favorite Question 
Oct 11 
awarded  Enlightened 
Oct 11 
awarded  Nice Answer 
Oct 9 
asked  What suffices to check completeness in an nfold Segal space? 
Oct 7 
awarded  Enlightened 
Oct 7 
awarded  Nice Answer 
Oct 6 
awarded  Yearling 
Oct 2 
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Homotopy Transfer Theorem for Differential Graded Associative Algebras
Hrm, they were on my old site. I'll try to find them. 
Sep 30 
awarded  Explainer 
Sep 21 
awarded  Nice Question 
Sep 20 
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Learning roadmap in Algebra
Great question, but I think math.stackexchange would be a better host for it. 