Weekly reads: Oct 19 – Oct 25, 2026

José A. Alonso — Mon, 26 Oct 2026 05:00:00 GMT

Here are the 42 reads I shared on Mastodon this past week.

This week's main thread is, once again, the future of mathematics in the age of AI. Most of the AI4Math reads come from the Proofs and Prompts series: the question of who will become the new mathematicians of Math 2.0 and the responses it prompted (Álvaro Lozano-Robledo), a critique of the mathematical economy (Álvaro Gutiérrez), András Juhász on public good, credit and education, Marcus Zibrowius on being disgusted by AI, David A. Madore's letter to a worried student, Dave Anderson on the dark forest, Helmut Hofer on who will lead mathematical AI, and "Mathematics of the future", by Pavel Etingof et al. Terence Tao's blog hosts two further perspectives, by Tristan Buckmaster and Francesco Maggi, and Tao himself proposes an experimental AI-math challenge on Siegel zeroes. Konstantin Kakaes discusses in Quanta Magazine the AI proof of the quasi-Riemann hypothesis, and the REUF2F benchmark evaluates coding agents on formalized undergraduate research problems.

The Lean 4 section combines new formalizations with reflections on the system itself: the formalization of model theory by Yunus Maranki, the real interpolation theorem for the Carleson project, the falsity of Isaac's condition (TU) and the irrationality exponent of the lemniscate period. Also worth a look are "Maestro", on agentic formal proof development, "Reflections on trusting Lean", by Lorenzo Bresolin and Marcello Mamino, and the values of Mathlib. A reading on Prolog and logic programming, "Simply logical", completes the technical part.

The final sections collect my own content: the Lean 4 challenges (in English and in Spanish) and my reviews of four of the AI4Math posts.

Vestigium (Posts about Prolog)

Weekly reads: Oct 19 – Oct 25, 2026