@pairadeau.bsky.social
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In a few months, it will be 15 years continuously that I have been the top user on MathOverflow. What a great ride it has been—I have learned so much. mathoverflow.net/users/1946/j...
March 25, 2025 at 12:10 PM
In a few months, it will be 15 years continuously that I have been the top user on MathOverflow. What a great ride it has been—I have learned so much. mathoverflow.net/users/1946/j...
Reposted
I am happy to announce that the Kakeya set conjecture, one of the most sought after open problems in geometric measure theory, has now been proven (in three dimensions) by Hong Wang and Joshua Zahl! arxiv.org/abs/2502.17655 I discuss some ideas of the proof at terrytao.wordpress.com/2025/02/25/t...
Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions
We study sets of $δ$ tubes in $\mathbb{R}^3$, with the property that not too many tubes can be contained inside a common convex set $V$. We show that the union of tubes from such a set must have almos...
arxiv.org
February 26, 2025 at 4:49 AM
I am happy to announce that the Kakeya set conjecture, one of the most sought after open problems in geometric measure theory, has now been proven (in three dimensions) by Hong Wang and Joshua Zahl! arxiv.org/abs/2502.17655 I discuss some ideas of the proof at terrytao.wordpress.com/2025/02/25/t...
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I am making a series of posts on interpretability in mathematics, which occurs when we can simulate a copy of one mathematical structure within another. This week's post is on the resulting interpretation translation.
www.infinitelymore.xyz/p/interpreta... #InfinitelyMore #PanoramaOfLogic
www.infinitelymore.xyz/p/interpreta... #InfinitelyMore #PanoramaOfLogic
The interpretation translation
We give a precise account of what it means to interpret one mathematical structure in another, and show how this leads to the interpretation translation.
www.infinitelymore.xyz
December 7, 2024 at 4:05 PM
I am making a series of posts on interpretability in mathematics, which occurs when we can simulate a copy of one mathematical structure within another. This week's post is on the resulting interpretation translation.
www.infinitelymore.xyz/p/interpreta... #InfinitelyMore #PanoramaOfLogic
www.infinitelymore.xyz/p/interpreta... #InfinitelyMore #PanoramaOfLogic
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Hey guys!
As we enter a strange time in America I just want to remind you why teaching Black history in America is so important.
It's living history.
This is Ruby Bridges. The one who got famous for being the first Black student in a white school in LA.
She's alive and only 70, yall.
As we enter a strange time in America I just want to remind you why teaching Black history in America is so important.
It's living history.
This is Ruby Bridges. The one who got famous for being the first Black student in a white school in LA.
She's alive and only 70, yall.
November 24, 2024 at 8:34 PM
Hey guys!
As we enter a strange time in America I just want to remind you why teaching Black history in America is so important.
It's living history.
This is Ruby Bridges. The one who got famous for being the first Black student in a white school in LA.
She's alive and only 70, yall.
As we enter a strange time in America I just want to remind you why teaching Black history in America is so important.
It's living history.
This is Ruby Bridges. The one who got famous for being the first Black student in a white school in LA.
She's alive and only 70, yall.
Reposted
I think about this a lot as I'm panicking in my shower.
November 24, 2024 at 3:16 PM
I think about this a lot as I'm panicking in my shower.
Reposted
I'm visiting Carnegie Mellon for a week, and giving a talk tomorrow, on some interplay of mathematical logic, combinatorics and theoretical machine learning:
www.cmu.edu/math/news-ev...
www.cmu.edu/math/news-ev...
November 18, 2024 at 10:23 PM
I'm visiting Carnegie Mellon for a week, and giving a talk tomorrow, on some interplay of mathematical logic, combinatorics and theoretical machine learning:
www.cmu.edu/math/news-ev...
www.cmu.edu/math/news-ev...