Cheyne

Assistant Professor of Mathematics at SJCNY.

[Cheyne @CheyneJGlass]

I don’t know a better place than this still to get words out so…

Please submit an abstract to our session on “Quantum Computing in the Undergraduate Curriculum”!

[Cheyne @CheyneJGlass]

The person from the audience shouting about coffee cups and donuts to @jonlovett will probably end up doing more for topology’s popularity than most of us ever can.

[Cheyne @CheyneJGlass]

“Chern character on infinity vector bundles” joint w/ M Miller, T Tradler, & M Zeinalian

https://t.co/nKe70IkYVL

This paper has been a long time coming. The intro is meant to be friendly and I think much better than any thread I could put together 😅 so give it a read

[Cheyne @CheyneJGlass]

@dzackgarza we usually met weekly and I presented but every month or so they would present. very early i presented all the time. in the middle they would present to tune me into a particular story. then once i was towards the end, solving things and producing new results, it was all me.

[Cheyne @CheyneJGlass]

@MrZachG @plain_simon I agree that if you want people to recall facts (as I undersrand the research is focused on) these “how (not) to explain” tips are relevant but have you considered that “learning” might not be synonymous with recalling facts? Am I missing something?

[Cheyne @CheyneJGlass]

@professorbrenda I completely agree with this method in theory and haven’t had the courage or backing to try it yet. Saving this for post-tenure… 🙃

[Cheyne @CheyneJGlass]

@professorbrenda Fair enough. Do you have solutions available as they work through the assignment? This was my issue if I didn’t want solutions available then extending a deadline and withholding solutions delays the rest of the class in being able to review the solutions.

[Cheyne @CheyneJGlass]

@and_cities @PhDVoice can confirm.

[Cheyne @CheyneJGlass]

@lightediand I was already thinking about it but this thread made me feel better about postponing the determinants i had planned for next week. thank you all.

[Cheyne @CheyneJGlass]

I can see these are equivalent if our simplicial set is Kan by drawing pictures but showing it’s true in general requires a bit of work that I haven’t fully internalized. Joyal has notes which I think take care of it but I’d love to hear of other places to learn this.

[Cheyne @CheyneJGlass]

Follow up to convo yesterday with @tim_hosgood: I see the definition of homotopy groups for a Kan complex has that representatives of pi_n are maps of delta^n whose boundary is a point. I want the definition to instead be “maps of simplicial sets homotopy equiv to a sphere”…

[Cheyne @CheyneJGlass]

wE LeAvE tHeM tO tHe ReAdEr

[Cheyne @CheyneJGlass]

@tim_hosgood ah! OK. Then I think the reference is section 7 of “Simplicial Homotopy Theory” by Goerss and Jardine

[Cheyne @CheyneJGlass]

@tim_hosgood OK, and you’re saying not the reference that the boundary goes to a point but that only the vertices need to go to a point?? I hadn’t realized that was a thing.

[Cheyne @CheyneJGlass]

@tim_hosgood @plain_simon @dzackgarza shameless plug: https://t.co/V86bsvlLcS

[Cheyne @CheyneJGlass]

@tim_hosgood By Kan you mean objectwise Kan right? I feel like if you know this fact for pointed Kan complexes and you consider the notion of “local” this is an application of that? You already have the reference for analogous fact about Kan complexes?

[Cheyne @CheyneJGlass]

What does one do with a (Giry) monad?

[Cheyne @CheyneJGlass]

@NikoSarcevic I love this question. For me the answer is somehow related to “how much of their money we collect via paychecks based on promises made by our admin that we know we can’t keep.”