Blog (mostly math)

Reddit AI for Math

Reddit posts regarding use of AI in Mathematics. Updated: 4/3/26 Claude’s Cycles. Link to r/math post: Link. Autoformalisation of the sphere packing problem in dimensions 8 and 24. Link to r/math post: Link. Alethia tackles FirstProof autonomously. Link to r/math post: Link. Towards Autonomous Mathem... Read more

Claude's Cycles

To read: “Claude’s Cycles” by Knuth. Link to r/math post: Link. Link to the paper: Link. Read more

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Speculation. The “right kind of upskilling” can, effectively all by itself, uplift economies. To study: Report “Upskilling for shared prosperity”. Read more

Hahn-Banach Theorem

Ref: Functional Analysis lectures by Casey Rodriguez. Lecture on the Hahn-Banach theorem. Link to the lecture: Link. Updated: 3/3/26 For a normed space ${ V , }$ let ${ V ^{’} }$ denote ${ V ^{’} = \mathcal{B}(V, K) . }$ Q) Given a general nontrivial normed space ${ V , }$ how large is ${ V ^{’} }$? Is it ${ V ^{’} = \lbrace 0 \rbrace }$... Read more

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How do we know if everything is secretly already determined and unfolds to the T, or if there is randomness in the World? Is randomness an illusion? Does God play dice? Instinctually: Randomness exists in the World. Can we prove it? Read more