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Kobayashi2501 / Structural-Proof-of-Hilbert-s-12th-Problem-via-Categorical-Degeneration-in-AK-HDPST

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via AK High-Dimensional Projection Structural Theory (AK-HDPST) This repository presents Version 4.0 of a formally structured and constructively resolved version of the Hilbert's 12th Problem, built upon: Collapse Theory (PH₁/Ext¹ obstruction vanishing) Type-theoretic realization

persistent-homology tropical-geometry class-field-theory derived-category modular-functions ak-theory hilbert-12th-problem abelian-extensions categorical-mathematics proof-of-unsolved-problem
  • Updated Jul 31, 2025
  • TeX

brandonlehmann / classpoly

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A low-level C implementation of the algorithms to compute class polynomials. Mirrored from Andrew Sutherland's MIT page with additional functionality bolted on.

c cryptography cmake parallel-computing mathematics arbitrary-precision finite-fields elliptic-curves gmp number-theory chinese-remainder-theorem isogeny computational-number-theory complex-multiplication hilbert-class-polynomial algebraic-number-theory class-field-theory imaginary-quadratic-fields class-polynomials modular-polynomials
  • Updated Apr 3, 2026
  • C

stalex444 / pdt-arithmetic-geometry

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Verification code for "Arithmetic Geometry at the Pisot Boundary" — five arithmetic theorems and the Dimensional Norm-Hodge Theorem for the PDT polynomials

python sympy algebraic-geometry quantum-gravity galois-theory algebraic-number-theory class-field-theory discriminants modular-forms arithmetic-geometry langlands-program loop-quantum-gravity number-fields fundamental-constants galois-representations pisot-numbers pisot-dimensional-thery hilbert-class-field barbero-immerzi ashtekar-variables
  • Updated Apr 15, 2026
  • Jupyter Notebook

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