bio | website | math.berkeley.edu/~theojf |
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location | Berkeley | |
age | 29 | |
visits | member for | 4 years, 10 months |
seen | Aug 15 at 2:40 | |
stats | profile views | 13,902 |
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.
Aug 12 |
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Hyperfinite type II_1 factor as the Clifford algebra
I am far from an expert. My impression is that "the hyperfinite II_1 factor" has lots of automorphisms, and different manifestations of it, although isomorphic, often are not canonically isomorphic. The classification of factors only says that a given one is isomorphic to the hyperfinite II_1 factor, and doesn't tell you that they are really "the same" in any meaningful way. But I repeat: I am far from an expert. |
Aug 9 |
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What's the state of affairs concerning the identification between quantum group reps at root of unity, and positive energy affine Lie algebra reps?
Great question! I have nothing useful to contribute towards an answer. |
Aug 2 |
awarded | Popular Question |
Aug 2 |
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String diagrams for bimodules over noncommutative algebras?
@DavidRoberts: Sorry for the slow response. Yes, of course Joyal--Street --- I clearly wasn't thinking straight, and went "Street was one of the names ... what's the name that goes with Street?" |
Jul 28 |
answered | String diagrams for bimodules over noncommutative algebras? |
Jul 22 |
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Removing an article from arxiv
Never use that journal. |
Jul 22 |
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When does a monoidal functor between ribbon categories preserve cups and caps, but not necessarily braidings?
Right. The strong monoidal functor from supervector spaces to $(\mathbb Z/2)$-modules (with the usual symmetric structure) does not preserve quantum dimension. And any two (right, say) duals are canonically isomorphic, but that isomorphism often is not the identity for some looks-convenient coordinates. |
Jul 14 |
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Are there isomeasure simplices?
I assume you are familiar with Schanuel's excellent paper "What is the length of a potato?", but your notion of isomeasure reminded me of it, so in the off chance you don't know that paper, I thought I'd mention it. |
Jul 7 |
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When is/isn't the monoidal unit compact projective?
@NoahSnyder Thanks! And indeed I should have remembered that from your paper with Chris and Chris. |
Jul 6 |
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When is/isn't the monoidal unit compact projective?
@QiaochuYuan In Temperley-Lieb? No. It's the free monoidal category on a self-dual object of that dimension. Given any monoidal category, you can ask how many braidings it admits. In the case of TL, there are precisely four (which are interchanged under $q \mapsto -q$ and $q\mapsto q^{-1}$). |
Jul 5 |
asked | When is/isn't the monoidal unit compact projective? |
Jul 2 |
awarded | Socratic |
Jul 2 |
awarded | Inquisitive |
Jul 2 |
awarded | Curious |
Jun 29 |
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Universal ribbon category of ribbon graphs
+1 to the edited version. |
Jun 3 |
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If $M$ has hyper-kaehler structure then $M//G$ has hyper-kaehler structure?
I have seen this Kahler quotient called $M //// G$, in keeping with the idea that in $M//G$ we subtract $G$ off twice. |
May 29 |
awarded | Nice Question |
May 10 |
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Last Status of Feferman's Conjecture on Indefinite Value of Continuum
I think your question is a good one, but I disagree with your introduction. With the caveat that I'm not a set theorist, it has always seemed to me that $2^{\aleph_0}$ is a perfectly definite number — the question that ZF doesn't answer is rather "how big is $\aleph_1$?". |
May 6 |
awarded | Nice Question |
May 6 |
reviewed | Leave Open Does Grothendieck have any pseudonymous paper? |