QuaffPotion @quaffpotion

Joined August 2016

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QuaffPotion @quaffpotion

2 months ago

@littmath @ben_golub Thank you for putting this together, I wish it existed for my subarea! (geometric group theory)

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QuaffPotion @quaffpotion

5 months ago

@kerckhove_ts Is Nix some magic around deeply pinned versions? I never really got how it was fundamentally different from docker

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@ElliotGlazer I’m trying to understand. Are you suggesting you can have mm run the lean kernel logic against a lean proof? (I realized you might be joking, the ncat for mm suggests mm is essentially substitution with careful attn to free vars)

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QuaffPotion @quaffpotion

6 months ago

@lukalotl Mathematical playground sounds really cool. What tech keeps it so responsive? I’m reminded of diagrams I used to work on at a chalkboard for objects like cube complexes annals.math.princeton.edu/wp-content/upl… and baumslag-solitar groups en.wikipedia.org/wiki/Baumslag–…

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QuaffPotion @quaffpotion

7 months ago

@analytichegel My understanding of dependent types is types that depend on values. How exactly is that a fix? Are you saying dep types imply proving reachability and that’s the fix?

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QuaffPotion @quaffpotion

10 months ago

@Aron_Adler @leanprover add 👍

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QuaffPotion @quaffpotion

a year ago

@DeGatchi The fact that random groups are hyperbolic is 👌. Plus, they appear “in practice”. I really enjoyed this area while I was working in it, it has a pleasant mix of topology (curve graphs are hyperbolic), algebra, combinatorics, and diff geo (discrete morse theory).

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QuaffPotion @quaffpotion

a year ago

@DeGatchi I’ve been trying to figure out zero knowledge proofs again, or at least enough to be “useful” (program something minimal) I don’t know a ton about the crypto applications but the math has been good so far. It’s a good mix of everything (all that’s missing is real analysis haha)

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QuaffPotion @quaffpotion

a year ago

@DeGatchi Depending on what you are aiming for, LA over real numbers is a good start then LA over more general fields (in the context of a graduate algebra book) will give you a great vantage point. That said matroids are cool and you will learn some LA by comparison (see: rings vs fields)

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QuaffPotion @quaffpotion

a year ago

@DeGatchi IMO speedrunning to the definition of compactness and then looking at proofs outside of topology that use compactness is the way to go. Crown jewel of point set topology is Tychonoff’s theorem. YMMV depending on what you are doing next.

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QuaffPotion @quaffpotion

a year ago

@aramHmarkosyan Can you point to how this data is being used at Meta? Does Lean4 have a presence at Meta?

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QuaffPotion @quaffpotion

2 years ago

@cryptobuilder_ They say differential geometry is the study of geometry invariant under change of notations. Sorry to hear ZK has the same problem 😆 This is another reason to be excited about LEAN4 too

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QuaffPotion @quaffpotion

2 years ago

@DeGatchi The classic text is Dynamics in one complex variable by John Milnor. This gives a mature perspective on the Mandelbrot set for instance.

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QuaffPotion @quaffpotion

2 years ago

@DeGatchi IMO the fastest way “through” measure theory basics is Folland’s book (esp early chapters). The writing is extremely tight but I recently reread it and I claim he is not actually skipping steps.

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QuaffPotion @quaffpotion

2 years ago

@maharshii Take the money. If you feel you executed poorly, refund some. Forcing yourself to teach will hone your skills because you will have to ask but not ignore good beginner questions