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monograph

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monograph-writing

Academic Manuscript Batch-Writing System: an AI-continuable, verifiable, fabrication-free pipeline for long-form scholarly works — monographs, textbooks, technical books & theses. 学术书稿批次化写作系统(Agent Skill · Apache-2.0)

  • Updated Sep 22, 2026
  • Python

Este repositorio contiene el material y resultados asociados al proyecto del curso de Seminario de la Especialización en Analítica y Ciencia de Datos de la Universidad de Antioquia, sede Medellín, correspondiente a la Cohorte 5 del año 2023. El objetivo final de este proyecto es la elaboración de una propuesta monográfica.

  • Updated Nov 27, 2023
  • Jupyter Notebook
fractured-adelic-geometry

Four volumes, 571 pages on the Birch and Swinnerton-Dyer conjecture: Frobenius–Arakelov–Prismatic spaces, the Master Identity as one determinant line with two trivialisations, a proved conditional descent, twelve conjectures and fourteen obstructions. BSD remains open. Open access, DOI 10.5281/zenodo.23585887.

  • Updated Oct 25, 2026
  • Python
strained-prismatic-geometry

Five volumes, 1,666 pages on the abc conjecture: a global substrate over which Spec Z acquires a base, strain, the Theta-dilation, an unconditional trace-invariance theorem, Theorems A and B conditional on 98 named obligations, and abctk. The abc conjecture remains open. DOI 10.5281/zenodo.23610034.

  • Updated Oct 25, 2026
  • Python
arithmetic-spectral-descent

Four volumes, 1,549 pages on the Riemann Hypothesis: 23 scoped no-go theorems, the Krein Index Theorem, a proved derivation of RH from three unconstructed realization hypotheses, and two obligations posed to be attacked or falsified. RH remains open. Open access, DOI 10.5281/zenodo.23564898.

  • Updated Oct 25, 2026
  • Python
grothendieckian-machine

Six volumes, 14,905 pages: Grothendieck's method of changing ambient worlds, turned into an architecture for verifiable, self-evolving AI for mathematics — typed worlds, bridges and proof obligations. Open access, DOI 10.5281/zenodo.23480696.

  • Updated Oct 25, 2026
the-arithmetic-topos

Five volumes, 2,001 pages on the Langlands programme: a global arithmetic curve over Z, a geometry with a primitive trace, and a Main Conjecture of three equivalences and eight corollaries; 1,609 status-marked statements, 17 falsification tests, aletheia, a Lean 4 skeleton. Not a proof of the Langlands correspondence. DOI 10.5281/zenodo.23629681.

  • Updated Oct 25, 2026
  • Python
topos-native-intelligence

Five volumes, 4,020 pages: the meta-reasoning kernel of the Grothendieckian Programme. Reasoning native to a topos: a context is a site, evidence is a sheaf over it, and a conclusion is a global section that exists only where the local evidence glues. Open access, DOI 10.5281/zenodo.23538544.

  • Updated Oct 25, 2026
the-archimedean-prism

Five volumes, 1,309 pages on the Hodge Conjecture: algebraicity as a descent datum along a definable prism, twelve axioms, an unconditional equivalence of five formulations, nine obstructions of which two are live. The Hodge conjecture remains open. Open access, DOI 10.5281/zenodo.23597954.

  • Updated Oct 25, 2026

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