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They did persistent homology on a grape arxiv.org/abs/2302.05600
Once in my life I maligned the 2F1. “Too complicated”, I said. “Three singular points? Who cares?”, said I. I am sorry, hypergeometric 2F1. You’re every function I need and more ❤️
Math/CS dual majors deeply offend me because a key point of studying math is to be completely unemployable
NSF committee insisting on Times New Roman and then rewarding proposals that are neither with the Times, nor New, nor Roman
Oh, a category? That's just an internal category in the category of 0-categories, up to equivalence of categories.
Here's a fun fact. Let E be an elliptic curve, and consider the 2:1 map E-->E/{±1}=P^1. Then the image of the 3-torsion E[3] in P^1 consists of 5 points, the image of the identity and 4 other points x_1, ..., x_4. FACT: The cross-ratios of the x_i are independent of E.
Two new papers (which started as one paper), with Aaron Landesman. The first is mostly expository, though we produce a bunch of IMO quite cool new examples — it’s meant to be a gentle to the techniques we’ve been developing. 1/n arxiv.org/abs/2209.00717 arxiv.org/abs/2209.00718
[Rubel 1981]: For any pair of cont. maps f: ℝ→ℝ and ε: ℝ→ℝ₊ , there is a C∞ solution y of the ODE 3y'⁴y''y'''² - 4y'⁴y'''²y'''' + 6y'³y''²y'''y'''' + 24y'²y''⁴y'''' - 12y'³y''y'''³ - 29y'²y''³y'''² + 12y''⁷ = 0 such that | f(t) - y(t) | < ε(t) for all t.
Made it to the top! UGA math department hike up Pinnacle Knob.
gorgeous gorgeous grad students write one sentence of their thesis before taking a two hour coffee break
i grew up liking pi day; then at some point i thought i was too cool for it. now I like pi day again. things have really come full circle
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