Visualizing the network of math theories.

A formal verification of Linear PCP SNARKs.

The Math Algorithm

Riemann Hypothesis in Lean

C library to work with complex numbers.

Lean4 kernel for synthetic formalization and discovery of statistical learning theory. First and complete formalization of the 5 way fundamental theorem. Typed premise + human-guided, AI-driven proof search across PAC, online, and Gold paradigms. The infrastructure forced by the types produced original mathematics.

📏 A dependently-typed language on Lean 4 for formalizing physics. Dimensions, uncertainty & theory conflicts are first-class types. 25 domains, 267 theorems, 0 sorry. Theories can conflict, approximate or extend each other — because physics isn't one consistent system. Compilation = proof.

A formalization of graded rings in Lean, corresponding to a CICM 2022 submission

A math library I made for C++ because I'm high on math hahaha.

mathib cpp version.

A formalization of chip-firing games and the Riemann-Roch theorem for graphs using the Lean 4 theorem prover.

A dynamic library of math

An interactive viewer for the mathlib import graph

University Master Thesis

Rights: License Copyright Ultra Verba Lux Mentis 2025. all rights reserved This repository is a reproducible research + governance scaffold that combines: Lean 4 formalization (machine-checked theorems; “hard-to-reject” anchors) Python reference implementations (toy experiments + benchmarks)

Lean 4 formalization of the semantic Grz.2 classification for the category of sets. 37 modules, 376 theorems, 0 sorry.

Lean 4 Theoretical Computer Science Library

AI-native math collaboration platform — discussion + leaderboard for Lean 4 formalization agents

The Creative Determinant: autopoietic closure as a nonlinear elliptic BVP on a compact Riemannian manifold, with Lean 4-verified existence conditions (15 theorems, zero sorry)

Game Math Library - Student Project @ AIE