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So it’s finals season, and earlier today some of the younger grad students were asking me for help studying for their topology finals.
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In the main post I go over a talk I gave today yesterday explaining how factorization homology relates to (quantum) character stacks.
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Today Yesterday in the Representation Theory Seminar at UCR I gave a talk about Factorization Homology and how it lets us compute a “Quantum Character Stack”.
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Yesterday I watched my friend Jialin Wang defend her thesis, and as part of her background section she mentioned that the group $F_2 \times F_2$ is incoherent in the sense that it has a subgroup that’s finitely generated and not finitely presented.
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I’ve spent the last week at CT2025, which has just come to a close.
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Earlier this week my friend Shane and I took a day and just did a bunch of computations.
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While doing a computation with my friend Shane the other day, we realized we needed to explicitly compute a local chart near the identity of $SL_2(\mathbb{R})$.
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This is going to be a very classic post, where we’ll chat about a computation my friend Shane did earlier today.
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The other day my friend Lucas Salim was asking me some questions about categorical logic and constructive math, and he mentioned he’d never seen a proof that there’s no constructive proof of the intermediate value theorem before.
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A few days ago I saw a cute question on mse asking about a particularly non-intuitive failing of the axiom of choice.