Mathematical Formalization Specialist

* Translate informal mathematical proofs into Lean (and related proof systems) with a focus on clarity, correctness, and structure * Analyze proofs across domains — identifying hidden assumptions, gaps, and formalizable sub-structures * Construct formalizations that test the limits of existing proof assistants, particularly where automated tools struggle or fail * Collaborate with AI researchers to design and refine formal verification strategies * Develop clean, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms * Guide proof decomposition, lemma selection, and structuring techniques for formal models * Investigate automated prover failure modes and articulate why they occur

Who You Are

* Hold a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field * Have a strong foundation in rigorous proof writing across areas such as algebra, analysis, topology, logic, or discrete mathematics * Have hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable proof assistants — Lean strongly preferred * Genuinely excited about formal verification, proof assistants, and the future of mechanized mathematics * Able to translate dense, informal mathematical arguments into precise, structured formal proofs * Self-directed and comfortable working independently on complex, open-ended problems

Nice to Have

* Familiarity with type theory, the Curry–Howard correspondence, or proof automation tools * Experience contributing to large-scale formalization projects (e.g., mathlib) * Exposure to theorem provers where automated reasoning frequently requires manual scaffolding * Strong communication skills for explaining formalization decisions, edge cases, and proof strategies

Sample Work

* Formalize classical proofs and compare machine-verifiable structures against textbook arguments * Investigate where automated provers break down and document why — missing lemmas, library gaps, complexity barriers * Create Lean proofs that surface deeper patterns or generalizations implicit in the original mathematics

Why Join Us

* Work on genuinely cutting-edge AI projects alongside leading research labs * Fully remote and flexible — work when and where it suits you * Freelance autonomy with the structure of meaningful, intellectually stimulating work * Contribute directly to advancing the frontier of formal verification and AI mathematical reasoning * Potential for ongoing work and contract extension as new projects launch