omega-coder

A formalized proof of Carleson's theorem in Lean

This repository provides guides, short how-tos, and tutorials to help users access and work with MODIS and VIIRS data.

The `awk` script to calculate population stats in VCF files: convenient, simple, flexible

Manifolds modeled on locally convex spaces (Michal–Bastiani calculus), in Lean 4 / Mathlib

Zero-Iteration Analytical Star-Anisotropy Syzygy & Inhomogeneous Off-Diagonal Bianchi Certifier for Decoded Quantum Interferometry (DQI) in Qualtran (598.56 -> 0.2366 gap in 0 steps, Lean 4.20.0 0 sorryAx).

Landing page for the Frohmanian Symplectic Tether program — geometric approach to 3D Navier–Stokes global regularity. Formalization: BenFrohman/NS_Millennium_Proof

A powerful library extending VBA with over 100 functions for math, stats, finance, and data manipulation. It supports matrix operations, and user-defined functions, enhancing automation and analysis within Microsoft Office and LibreOffice environments for data management, financial calculations, an

A full-stack framework for quantum computing.

Cajal Technologies — independent third-party profile of a public API surface, by API Evangelist. Cajal Technologies (Cajal) is a San Francisco-based Y Combinator (W26) company scaling formal verification to accelerate scientific discovery. Its multi-agent system, Tau, collaborates to discover and ve

Lean 4 / Mathlib: dimension subgroups of groups, the D_5 problem (Kourovka 20.84)

Eight new records for the bipartite degree-diameter problem and a new +2 theorem, found by evolutionary search with Claude Haiku 5.5 and checked in Lean

Lean proofs of quantitative gcd-quotient bounds and sharp fixed-dimensional orders for Erdos 539; accompanying paper and verification.

Machine-verified foundations for quantum field theory in Lean 4 (ACMD) — 2,553 kernel-checked theorem declarations. Every claim tiered; kills published next to the proofs.

AI4Math research directory: projects, mission status, and verification evidence.

Cloud-native genomic dataframes and batch computing

Multi-language algorithms, software architectures, design patterns, and computational scripts database

math with more good bits

Operator-theoretic analysis of Weil’s quadratic form: spectral screening, support filtrations, defect morphology, and Lean verification.

Arrays with arbitrarily nested named components.

The uncompromising Snakemake code formatter