Terence Tao
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Stable singularity of the Euler equations on R^3
[This is a guest post by Anima Anandkumar. This blog post was initially written in a different file format and converted using AI.– T.] The last few days have been a flurry of activity.
Crowdsourcing a list of general resources on AI and mathematics
Given current events, I think it is worthwhile to start collecting useful online resources with regards to AI and mathematics in general.
Finite time blowup with smooth forcing term for the incompressible porous medium, Boussinesq, and incompressible Euler equations
There’s some exciting very recent work by Alpöge and Buckmaster, building upon prior work by Córdoba and Martínez-Zoroa, in the general topic around the infamous global regularity problem…
Rotating needles in space: the road to the Kakeya conjecture, and why it matters
A recent tradition of the ICM is to have a non-technical popular article written for each of its medallists.
Mathematical Discourse
Mathematical Discourse is a new online, peer-reviewed mathematics journal, publishing videos of mathematics research talks of the highest quality.
Quantitative bounds for sets lacking polynomial progressions with shifted prime difference
Ben Krause, Hamed Mousavi, Joni Teräiväinen, and I have just uploaded to the arXiv our paper Quantitative bounds for sets lacking polynomial progressions with shifted prime difference.
Palomar – a registry of Lean verified mathematics
In recent months there has been a proliferation of AI-generated proofs of various old and new results, some of which have been formalized in the proof assistant language Lean.
Mathematics in the age of AI | alphaXiv
Terence Tao's "Mathematics in the Age of AI" explores how the mathematical community should respond to advanced AI capabilities, arguing this era presents a "crisis of values and…
A digestion of the proof of Sendov’s conjecture
This post concerns the following conjecture of Sendov, as well as its strengthening by Phelps–Rodriguez: Conjecture 1 (Sendov’s conjecture) Let $latex {n \geq 2}&fg=000000$, and…
A partial digestion of the HRT counterexample
A function $latex {f(t) \in L^2({\bf R})}&fg=000000$ of one variable can be translated in space by a spatial shift $latex {x}&fg=000000$ to obtain a new function $latex \displaystyle…