Machine-checked statistical learning theory in Lean 4: empirical-Bernstein and time-uniform PAC-Bayes, Markov risk, Rademacher/VC, and Dudley chaining.
MathTensor Lean 4 formalizations of Putnam 2025 problems, with machine-verified Mathlib proofs.
The intent of this repository is to build a database of control theoretic proofs in lean.
University Master Thesis
A complete navigation index for every one of Mathlib4's 9,150 modules — plain-English descriptions, systematic disambiguation of similarly named modules, and five deliverables: JSON, RAG export, Claude Skill, spreadsheet, and website.
Simplify arithmetic expressions of ENNReal numbers in Lean4
Formal verification of the logical incompatibility between the P=NP hypothesis and the Witten-Helffer-Sjöstrand tunneling theorems in spectral geometry. Implemented in Lean 4.
Formally verified MBSE framework in Lean 4 — dependent type semantics for SysML v2 / KerML with V&V matrix completeness by type checking
APM-installable agent skills for Lean 4 and Mathlib4 — proof tactics, math domains, review and research workflows, generic tooling.
Formalised mathematics in Lean 4.
Lean 4 formalization of Gleason's theorem via Busch's effects formulation
Retrieval-grounded reviewer-memory tool over closed-PR review history of leanprover-community/mathlib4. Indexes ~158k past reviewer comments across ~35k closed PRs to flag concerns past reviewers have raised before.
Lean 4 formalization of ord_{2^t}(3) = 2^{t-2} and supporting lemmas for Collatz analysis
Conditionally complete Lean 4 Beal assembly with five explicit premises; companion computable level-26 foundations.
Automated theorem generalization in Lean
A literature library for Lean4.
Lean 4 formalizations of results from my research on graphs, networks, and the modulus of families of objects.
Axiomatic framework for Dual Sets Theory (DST) and Bio-Resonance in Lean 4
Lean 4 / Mathlib formalization of the Spectral Sandwich Theorem and Theorem 7.1 (Wheel as Constrained Fisher–Rao Gradient Flow, leading order) — companion repository for "Spectral Structure on Graph Signal Optimization" (2026).
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