Rust code and command-line utility to compute and visualize prime sequences

Empirical discovery: Semaev's S₃ relation matrix over j=0 elliptic curves stabilizes at rank 3. Optimizes ECC cryptanalysis & finite-field linear algebra.

Open research-code package for exploring CNRS: complex-base representation, CNRS-float, branch-aware complex-state workflows, and CNRS-H scale-law calculus. Part of a broader research programme on scale, representation, and complex-state preservation.

Misc shared SageMath notebooks

Recursive Harmonic Kernel: Math for the Third Millennium

Computational laboratory for the Erdős–Straus conjecture studying residue-class identities, structural coverage, and empirical hardness of representations 4 / 𝑛 = 1 / 𝑥 + 1 / 𝑦 + 1 / 𝑧 4/n=1/x+1/y+1/z.

The Golden Ratio’s Footprint in Happy Number Sequences.

Official repository for 'The Modular Spectrum of π'. Source code and proofs unifying the 6k ± 1 prime channel structure, Level 58 Ramanujan-Sato series (via PSLQ), and arithmetic supercongruences.

GPU/CPU Cunningham chain search engine with interactive 2-adic visualizations and analysis tools

Coordinate audit for the Paradoxical Sequence benchmark: separates Rozier–Terracol pure reproduction, our trace_escape sampled-universe baseline, and the RT550 odd-accelerated remaining_K overlay.

Ramanujan-Machine-style identity hunter: PSLQ over parameterized series families, blind-rediscovers Apéry, Comtet, Lehmer, Catalan classical, log 2 from scratch. Built in an evening with Claude.

Supplementary code for: Trivial rational contamination in PSLQ-based PCF searches. Pre-screening protocol + AEAL governance log.

Finite-sample observational chapter mapping Collatz waiting-hall events as a state space organized by exit_distance, with miss-front, k-structure corridor, and position-shape selector audits.

A reproducible spectral decomposition of wheel-corrected prime residuals into rational major-arc structure and Riemann-zero frequencies.

Finite-block diagnostic experiments for Collatz trajectories: anomaly scoring, block-length renormalization, reweighting tests, and maximum-entropy projection.

Computational and mathematical research archive and proof-engineering workspace for experimental approaches to the Riemann Hypothesis, Li-Keiper positivity, and related spectral/arithmetic structures.

some materials for MAST90053 Experimental Mathematics at University of Melbourne

Exploratory analysis of feature co-change bundles across four finite Collatz basins, including B004 dissection, cross-basin census, and internal variation checks.

A finite-sample observational atlas of accelerated Collatz trajectories, extending the waiting-hall analysis into boundary-front geometry, trajectory grammar, empirical flow, and numeric path anatomy.

All the results and programming related to the research paper "Observations on cycles in a variant of the Collatz Graph"