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Joemoeller

@Joemoeller@mathstodon.xyz

#mathematician, #actuallyautistic, free Palestine 🇵🇸, abolish police and prison, land back, Black Lives Matter, protect trans children

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Joemoeller, to random
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For the final exam in differential equations, I’m having them study the stability of critical points of nonlinear systems. Very fitting transition into my next project!

Joemoeller, to random
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I used to be on the fence. I'm now officially an online homework service hater.

Joemoeller,
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@christianp The last nail in the coffin had nothing to do with a particular service. I can just tell more now than I ever have that my students would have benefited a lot more from more intentional, focused assignments with bespoke feedback. It was very convenient that I didn't have to grade, but I also felt more distant from my students for it.

Joemoeller, to random
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This summer I'm starting a postdoc at CalTech! I'm working with the roboticist/control theorist Aaron Ames on using category theory to study stability of dynamical systems.

I got verbal confirmation a month ago, but I've been holding back on saying anything until I got bureaucratic confirmation.

Joemoeller,
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@SvenGeier I appreciate this. The stuff I'm hired to do is certainly "related, though tangentially" to what I would do if I had total autonomy. I get the sense that Aaron will be pretty nice, but I'll definitely be watching out for myself at the same time. I certainly have some half-written papers lined up to finish in between.

Joemoeller, to random
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What was this box symbol in the middle supposed to be?

(CLT=central limit theorem)

Joemoeller, to random
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Moving across the country again. Life of a postdoc.

Joemoeller,
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@ProfKinyon back to SoCal! Very excited about being close to family again.

Joemoeller, to random
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Is there a single article in TAC in the last five years that doesn’t have an arxiv version? Ten years?

Joemoeller, to random
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In Lawvere metric spaces, the definition of two objects being isomorphic becomes d(x,y) = 0 = d(y,x). But generally, you can still have d(x,y) = 0 and d(y,x)>0, right?

Joemoeller,
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I guess a good example to consider would be the Lawvere metric which is symmetrized to construct the Hausdorff metric on non-empty subsets of a metric space. d(X, Y) = sup_{x \in X} inf_{y \in Y} |x-y|. Then if X is a subset of Y, d(X,Y) = 0, but d(Y,X) is the distance of whichever point in Y\X is farthest from X.

Joemoeller,
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A slightly annoying thing I just noticed about Lawvere metric spaces is that for functors F,G : X \to Y, a natural transformation F=>G has components 0>= Y(Fa, Ga, so d(Fa, Ga) = 0.

I would love it if this weren't true, so point it out if I've made an error.

Joemoeller,
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@johncarlosbaez I checked that! A component of an enriched natural transformation is a map I -> C(Fx,Gx), which for Lawvere metric spaces means 0≥d(Fx,Gx).

Joemoeller, to random
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There should be more words that end in -sy. Clumsy, whimsy, I can’t even think of any more. Topsy turvy.

Joemoeller, to random
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I'm giving a talk to some (mathematically inclined) engineers. Mathematicians appreciate handwritten talks over slide talks, but I get the sense this doesn't translate to engineers. Can anybody confirm or deny?

Joemoeller, to random
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Why have I never had a census person come up to my door? Have I never been counted?

Joemoeller,
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@johncarlosbaez @Joemoeller I think I did in 2020.
1990 - I didn’t exist
2000 - I was a small child
2010 - I was homeless
2020 - I probably did the mail one

Joemoeller, to random
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This year on my birthday I’ll have the biggest drop in my totient function I’ve ever experienced, but it will be the second time with that size of a drop.

Joemoeller,
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@ColinTheMathmo @Joemoeller don’t try it though! I just realized I miscalculated. Mental math.

Joemoeller, to random
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is uploading pirated copies of textbooks to BlackBoard something you could realistically get in trouble for? hypothetically?

Joemoeller, to random
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it's so silly how actually being in front of a class and doling out math facts its like nothing for me, but being on the computer and trying to click the right thing in 17 different websites they have me on gives me like a mountain of anxiety

Joemoeller,
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@johncarlosbaez Yeah, all of that, plus required homework services, eg WebAssign, WileyPlus.

I think I'm decent at following instructions, there's just never instructions for everything I need to do. So I'm just guessing and poking around, but on eggshells.

Joemoeller, to random
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If I could never have to look at a computer again, I'd do it in a heartbeat.

j_bertolotti, to random
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13 years too late, I finally played Limbo.
I liked the first half. It is a good mood piece, creepy enough without being explicitly gory, and with some ok puzzles.
I didn't like the second half, because the puzzles all become of the "I know exactly what I have to do, but I keep messing the ultra-precise timing of the button-pressing necessary to actually do it".

Joemoeller,
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@j_bertolotti I thought you were talking about the game limbo at first.

Joemoeller, to random
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First day of teaching done. It was really fun!

Joemoeller,
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@johncarlosbaez First day was trig and differential equations. Second day was stats.

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