@Jack______M

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jackmccarthy.org
Joined April 2019
  • Tweets133
  • Following49
  • Followers210
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Born a few years too late to be a real mathematician Born just in time to pull on the threads of the universe until they unravel before my eyes Do not grieve my friends Today we have lost our pride, but we have gained the world
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Math+AI Advisory Group: Guys, pleaseeee don't designate specific academics to launder your results OAI: Yeah so only these 5 guys get to look at Yang-Mills
Scott Armstrong
@scottnarmstrong21h
they should IMMEDIATELY release this we do no need shepherds
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"Our models produced a natural language proof for Yang–Mills... we postponed release until the Lean formalization completed. We finished our formalization of Yang–Mills’ existence on October 16th." > yet we release no pdf and no lean file is this a joke openai.com/index/building-sc…

Working with academic communities to build scientific understanding

OpenAI shares model results on the Kakeya conjecture, Exponential Time Hypothesis, and quantum chromodynamics—and how researchers can verify and build on them.

openai.com
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Jack McCarthy retweeted
markusde@_markusde_Oct 26
I can finally participate in the Kiran Gopinathan engagement farm now
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Jack McCarthy retweeted
markusde@_markusde_Oct 26
Somebody is posting about Iris-Lean and I have to defend his honour
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Jack McCarthy retweeted
markusde@_markusde_Oct 26
I'm back
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continuing the SPDE theme, here is some regularity structures in Lean dynamical Phi43 on the torus github.com/scottnarmstrong/R…

GitHub - scottnarmstrong/RegularityStructures: Lean 4 formalization of regularity structures and...

Lean 4 formalization of regularity structures and the dynamical Φ⁴₃ model (Hairer 2014, Theorem 1.15) - scottnarmstrong/RegularityStructures

github.com
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I'm enjoying reading TheoremA/challenge.lean But I can't wrap my head around this definition of white noise. Intuitively, how is it related to e.g. Brownian motion? It's not obvious to me that this is even non-vacuous! (luckily Scott gives a proof) Any analysts care to explain?
Scott Armstrong
@scottnarmstrongOct 25
continuing the SPDE theme, here is some regularity structures in Lean dynamical Phi43 on the torus github.com/scottnarmstrong/R…

GitHub - scottnarmstrong/RegularityStructures: Lean 4 formalization of regularity structures and...

Lean 4 formalization of regularity structures and the dynamical Φ⁴₃ model (Hairer 2014, Theorem 1.15) - scottnarmstrong/RegularityStructures

github.com
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Jack McCarthy retweeted
Kiran@kirancodesOct 26
I have but one comment to add: It is getting f*cking dangerous
Jack McCarthy@Jack______MOct 25
Holy cr*p! @kirancodes explains how to get formal program semantics that are provably equivalent to the executed assembly🤯🤯🤯 That’s a real dreamer in action. Just wait 10 years, every CS student will study her refinement theorem Only at #LeanNYC
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Today is your LAST CHANCE to sign up for Meta’s AI4Math Workshop in NYC!!! Thank you @arnal_charles and Vivien Cabannes for helping organize this awesome event Hoping to see you all tomorrow! docs.google.com/forms/d/e/1F…

Mathematics in the era of AI — Registration (New York)

A one-day workshop at Meta's New York office on Monday, October 26. Please register by filling in this short form.

docs.google.com
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Meta Offices, Hudson Yards, Tomorrow at 9am
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Holy cr*p! @kirancodes explains how to get formal program semantics that are provably equivalent to the executed assembly🤯🤯🤯 That’s a real dreamer in action. Just wait 10 years, every CS student will study her refinement theorem Only at #LeanNYC
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Jack McCarthy retweeted
Zac Burton
@zacburtonxOct 16
Jack is pioneering a new era of academia imho
Jack McCarthy@Jack______MOct 15
We need a fundamentally new system for evaluating academic work. How do I tell grad schools that I have 0 journal publications but have been cited many times for my open source contributions?
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We need a fundamentally new system for evaluating academic work. How do I tell grad schools that I have 0 journal publications but have been cited many times for my open source contributions?
Doug Colkitt
@0xdougOct 14
Awesome to see what looks like the first example of open source math being cited in an academic paper. Thanks to all of the contributors for making this happen
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Thanks Meta FAIR for citing my Formal Conjectures PR fixing a Poincare Conjecture misformalization. Note: This wasn't a mistake by the FC authors, but in fact an issue with Mathlib upstream! I fixed the same misformalization in Mathlib last month github.com/leanprover-commun…
Skander Moalla
@SkanderMoallaOct 12
The Bitter Lesson for harness design and formal math! Instead of hand-designing how an AI should prove (decompose, plan, assign agents), what if we just give a frontier model good Lean feedback and let it keep working? We built h1. TL;DR: → SOTA on formal theorem proving benchmarks → can solve open conjectures → matches/beats hand-designed workflows → one long attempt can beat many retries [1/7]
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Jack McCarthy retweeted
Skander Moalla
@SkanderMoallaOct 12
The Bitter Lesson for harness design and formal math! Instead of hand-designing how an AI should prove (decompose, plan, assign agents), what if we just give a frontier model good Lean feedback and let it keep working? We built h1. TL;DR: → SOTA on formal theorem proving benchmarks → can solve open conjectures → matches/beats hand-designed workflows → one long attempt can beat many retries [1/7]
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Been thinking about this tweet a lot #LeanNYC
Другая планета
@nihilunboundedOct 12
After all the agony in stony places about AIxMath, what have you actually understood? That's the only thing that matters in math. Can you actually give an impromptu talk about what you have understood to an audience of 5, on a whim? If you can't you're not a mathematician. Sorry.
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If you haven't watched suckerpinch video on Nopert solids you're missing out youtube.com/watch?v=QH4MviUE… The proof is by exhaustion: Use interval arithmetic to eliminate every possible orientation Lean struggles to prove such results (without `native_decide`)--this proof uses rust

Rupert's Snub Cube and other Math Holes

In this cross-over episode between the Main Sequence and Tom Academ...

youtube.com
Bence Hervay@BenceHervayOct 6
After 2 years and 1000+ hours of self-motivated research, I have finally finished my proof that the Rhombicosidodecahedron is Nopert (does not fit through itself), settling one of the main open problems in a 333-year-old topic. github.com/bence-hervay/nope…
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Another banger from @scottnarmstrong I'm reading through the Lean repo now. They document some differences between the code<->paper. (e.g. take p<∞ instead of p≤∞) Question: Why wasn't the AI able to make the formalization match exactly one-to-one? Did it hit a block?
有坂秋@数学トピックス@akiarisakaOct 10
【偏微分方程式】楕円型方程式の正則性を支えるDe Giorgi–Nash–Moser理論を、退化・非有界な係数まで拡張した研究です。ハルナック不等式などを最適な係数範囲で証明しています。10/8公開。査読前です。#数学 arxiv.org/abs/2610.11879

Coarse ellipticity and De Giorgi-Nash-Moser theory in the optimal range

We extend the theory of De Giorgi-Nash-Moser to elliptic equations with symmetric coefficients $\mathbf{a}(x)$ which are possibly degenerate and unbounded but satisfy a coarse ellipticity...

arxiv.org
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Today I released a preprint answering a 60-year old problem dating back to Bourbaki. I was originally motivated to work on this problem because it is needed to define differential forms in Mathlib. I will give a talk at NYU tomorrow presenting the proof. github.com/Deicyde/alternati…
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SIGN UP FOR LEAN NYC TOMORROW: forms.gle/ptPaJjuMWL7Vyyry8 cc: @justincasher MORE INFO: lean.nyc/calendar
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