Math prof. Author of long-form textbooks on proofs (https://xitter.cf/t.co/YqXnxDmOe0), real analysis (https://xitter.cf/t.co/3IGQ6BIx5Z) & math history (https://xitter.cf/t.co/KkXMGTxCDK).

Sacramento, CA
Joined July 2019
Jay Cummings
@LongFormMathOct 17
The kiddo continues to be into math this weekend. Found a free spot on dad’s blackboard to solve some problems. Working on 5+100 right now.
Jay Cummings
@LongFormMathOct 16
My son asked me what infinity plus ten equals. I’ve been training for this moment my whole life.
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Jay Cummings
@LongFormMathOct 8
Btw it seems like this one is not completely verified yet with Lean. And many others also seem to not be verified with Lean. Seems strange that they would release so many where a lean check is doable but not done.
Jay Cummings
@LongFormMathOct 8
I love this theorem. And I hope many people work to improve AI’s proof of it. The Book Proof is still out there! :-)
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Jay Cummings
@LongFormMathOct 8
I love this theorem. And I hope many people work to improve AI’s proof of it. The Book Proof is still out there! :-)
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Jay Cummings
@LongFormMathOct 8
Replying to @archernikov
Ah, missed that. He said he was also really excited for this Ramsey result
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Jay Cummings
@LongFormMathOct 6
I got you
We created gyms because modern day work no longer required physical activity. Without exercise, our muscles atrophy. I predict we’ll need gyms for our brains too, once AI starts doing our knowledge work.
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Jay Cummings
@LongFormMathOct 1
Solving math problems on mirrors and windows
What’s something you keep seeing in movies that absolutely nobody does in real life and it annoys you every single time?
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Jay Cummings
@LongFormMathSep 21
Decades worth of “progress” can now be accomplished in 3 weeks using a single model. The era of theorem abundance is here.
OpenAI
@OpenAISep 21
We’re working with an independent advisory group of mathematicians to help OpenAI responsibly share advances in AI and mathematics. The group will advise on how we assess and communicate new mathematical results, uphold academic and professional standards, and build tools that support mathematical research and learning. Through this work, we want mathematicians to be at the center of shaping how AI supports mathematical understanding and how its benefits reach the wider community. openai.com/index/advisory-gr…
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Jay Cummings
@LongFormMathSep 18
Math Files
@Math_filesSep 16
The Bernoullis were more than a family of mathematicians; they formed a remarkable mathematical dynasty. Across several generations, Jacob, Johann, Daniel, and others made important contributions to mathematics and mathematical physics during the 17th and 18th centuries, alongside figures such as Newton, Leibniz, and Euler. Their story also includes one of the most famous rivalries in mathematical history. Jacob and Johann initially collaborated in studying Leibniz’s calculus, but their relationship gradually deteriorated into a bitter and very public competition, with the brothers challenging and criticizing each other over mathematical problems and priority. Whether this rivalry actually fueled their achievements is difficult to establish. What is clear is that their intense competition existed alongside work of lasting importance, and their family became one of the most influential mathematical lineages in early modern Europe.
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Jay Cummings
@LongFormMathSep 16
Watching AI agents have all the fun
HOLY MOTHER OF MATHEMATICS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Google is working on a math-focused variant of its DeepThink model, and its raw thoughts are pretty funny.
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Jay Cummings
@LongFormMathSep 9
“Whew. Big day of math news. But that’s enough math twitter for today. Let’s just flip over to my politics twitter account and see what everyone’s talking about over there—”
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