Visualizing the network of math theories.

A formal verification of Linear PCP SNARKs.

The Math Algorithm

Riemann Hypothesis in Lean

Formally verified mathematical finance in Lean 4. Black–Scholes/Greeks/PDE, Itô calculus, FTAP/Girsanov, CRR→BS convergence, Merton jump-diffusion.

OpenATP is an open-source Python package providing a common interface for Automated Theorem Proving (ATP)

C library to work with complex numbers.

A Lean 4 library for formal linguistics.

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.

Lean 4 formalization of Leray–Hopf weak solution existence for the three-dimensional incompressible Navier–Stokes equations.

Semantic search for PhysLib — the formal Lean 4 physics library. Find theorems and definitions using plain English.

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

📏 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.

University Master Thesis

Machine-verified Lean 4 / Mathlib formalizations in quantum optimization

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

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)

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

The Feit–Thompson odd order theorem in Lean 4, with the finite group theory library it required — Hall, Fitting, Frobenius groups, transfer, ZJ, Dade isometry, coherence

Lean 4 formalization of the corrected Erdős Problem 796, proving the second-order asymptotic and explicit kernel-checked bounds.