https://jaalonso.github.io/vestigium/enContents © 2026 <a href="mailto:">José A. Alonso</a> <a rel="license" href="https://creativecommons.org/licenses/by-nc-sa/4.0/"> <img alt="Creative Commons License BY-NC-SA" style="border-width:0; margin-bottom:12px;" src="https://i.creativecommons.org/l/by-nc-sa/4.0/88x31.png"></a>Tue, 20 Oct 2026 09:59:19 GMTNikola (getnikola.com)http://blogs.law.harvard.edu/tech/rsshttps://jaalonso.github.io/vestigium/en/posts/2026/10/19-weekly_reads/José A. Alonso<div><p>Here are the 20 reads I shared on <a href="https://mathstodon.xyz/@Jose_A_Alonso">Mastodon</a> this past week.</p> <p>This week's main thread is the role of AI in mathematical practice and research ethics. Most of the AI4Math reads come from the <em>Proofs and Prompts</em> series: Thomas Sinclair on free inquiry, Hendrik De Bie on AI statements in mathematics papers, Michel Schellekens on trustworthy AI, Thomas Koberda and Alex Kontorovich on the dialectical theorem, and Benjamin Braun on how mathematics is being transformed. Lawrence Paulson adds a related reflection on plagiarism in the age of AI.</p> <p>The Lean 4 section is dominated by new formalizations: the disproof of Ramaekers's conjecture, a counterexample to Erdős problem 108, the eleven-variable Vasc inequality, flag algebras, the irrationality measure of the logarithm of a rational number, pedigree polytopes and term relation algebras. Also worth a look is "How to formalize all of mathematics", by Avigad, Buzzard, Commelin, Degenne, Morrison, Nash and Topaz.</p> <p>The final sections collect my own content: the Lean 4 challenges (in English and in Spanish) and a post on the real numbers in Spanish.</p> <hr> <p><a href="https://jaalonso.github.io/vestigium/en/posts/2026/10/19-weekly_reads/">Read more…</a> (2 min remaining to read)</p></div>AIAI4MathITPLean4ChallengeLeanProverMathRetoLean4https://jaalonso.github.io/vestigium/en/posts/2026/10/19-weekly_reads/Mon, 19 Oct 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/en/posts/2026/10/12-weekly_reads/José A. Alonso<div><p>Here are the 38 reads I shared on <a href="https://mathstodon.xyz/@Jose_A_Alonso">Mastodon</a> this past week.</p> <p>This week's main thread is the impact of AI on mathematics. Terence Tao ("Math 2.0"), Jeremy Avigad, Christian Szegedy and Quanta Magazine each ask where the field is heading, and Thomas Hales discusses the reliability of Lean and AI-generated proofs. A related theme in the Lean 4 section is autoformalization: Scott Armstrong argues it is now very easy and releases a collection of skills for Codex and Claude Code, and there is an AI-assisted formalization of the Poincaré conjecture. Also worth a look is the online edition of <em>Software Foundations</em> in Lean.</p> <p>The rest covers Isabelle/HOL (geometry in the AFP, Isabelle/ML metaprogramming, and teaching logic), a Rocq certification result for polyhedra, and a classic Haskell textbook. The final section collects content in Spanish: a teaching guide on Lean 4, the Lean 4 challenges and reviews of some of the AI4Math posts above.</p> <hr> <p><a href="https://jaalonso.github.io/vestigium/en/posts/2026/10/12-weekly_reads/">Read more…</a> (3 min remaining to read)</p></div>AI4MathAutoformalizationCASFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLogicMathRetoLean4RocqProverhttps://jaalonso.github.io/vestigium/en/posts/2026/10/12-weekly_reads/Mon, 12 Oct 2026 04:00:00 GMT