bio  website  math.berkeley.edu/~theojf 

location  Berkeley  
age  29  
visits  member for  5 years 
seen  5 hours ago  
stats  profile views  14,119 
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.
2d

comment 
“Nice” functions on infinitedimensional space of germs of continuous functions at a point
... with respect to analytic functions is $\mathrm{Spec}($this subring$)$. 
2d

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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 
comment 
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 
comment 
Learning roadmap in Algebra
Great question, but I think math.stackexchange would be a better host for it. 
Sep 16 
awarded  Enlightened 
Sep 16 
awarded  Nice Answer 
Sep 6 
comment 
Recognize this strange expression from linear algebra?
No offense taken. Sorry about misstating the end. 
Sep 4 
comment 
When is Rep(U_q(g)) invariant under q > q and why?
I don't know if the conventions match yours, but Temperley–Lieb with the circle valued at $\delta = q^2  q^{2}$ is invariant us a monoidal category under $q \mapsto q$ (of course, since the monoidal category only depends on $q$ via $\delta$), and even as a braided category (via the natural isomorphism that acts by $1$ on the defining object), but not as a pivotal category. 
Sep 4 
revised 
Recognize this strange expression from linear algebra?
admitted an error. 
Sep 4 
revised 
Recognize this strange expression from linear algebra?
corrected a 0 to a 2 
Sep 3 
awarded  Enlightened 