Lean 4 Proof Engineer — Mathematical Formalization (AI Training)

About The Role

What if your mathematical expertise could directly shape how AI understands and reasons about formal proofs? We're looking for Lean 4 Proof Engineers to translate advanced mathematics into machine-verifiable formalizations — working at the cutting edge of AI research and formal verification.

This is a fully remote, flexible contract role for mathematicians who love precision, structural elegance, and the challenge of pushing proof assistants to their limits.

- Organization: Alignerr
- Type: Hourly Contract
- Location: Remote
- Commitment: 10–40 hours/week

What You'll Do

- Translate informal mathematical proofs into clean, well-structured Lean 4 formalizations
- Identify gaps, hidden assumptions, and formalizable sub-structures within complex mathematical arguments
- Construct formalizations that test and extend the limits of existing proof assistants
- Collaborate with AI researchers to design and refine formal verification strategies
- Develop readable, reproducible proof scripts aligned with mathematical best practices and Lean idioms
- Provide expert guidance on proof decomposition, lemma selection, and formal model structuring
- Investigate where automated provers break down — and clearly articulate why
- Create Lean proofs that surface deeper patterns or generalizations implicit in the original mathematics

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 math
- Have hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable systems — Lean strongly preferred
- Genuinely passionate about formal verification, proof assistants, and the future of mechanized mathematics
- Able to take a dense, informal mathematical argument and express it in a form a machine can verify

Nice to Have

- Familiarity with type theory, the Curry-Howard correspondence, and proof automation tools
- Experience contributing to large-scale formalization projects such as Mathlib
- Exposure to theorem provers in settings where automated reasoning frequently fails or requires manual scaffolding
- Prior experience with data annotation, quality evaluation, or AI training workflows
- Strong communication skills for explaining formalization decisions, edge cases, and proof strategies

Why Join Us

- Work on 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, high-impact technical work
- Operate at the frontier of formal verification — tackling problems that automated tools can't yet solve
- Potential for ongoing work and contract extension as recent projects launch
- Global collaboration with researchers pushing the boundaries of AI and mathematics

📌 Lean 4 Proof Engineer - Mathematical Formalization (Australia)
🏢 Alignerr
📍 Australia