Applied Formal Methods Researcher (Lean 4) About the Role What if your deep mathematical training could directly shape how AI reasons about the hardest problems in mathematics?
Lean 4 Proof Engineer - Mathematical Formalization
Remote (Global)
$170 – $200/hr
June 10, 2026
Job description
Lean 4 Proof Engineer — Mathematical Formalization (AI Training)
About the Role
What if your deep mathematical training could directly shape how AI reasons about formal proofs — and help push the boundaries of what machines can verify?
We're looking for mathematicians and formal verification experts to translate advanced mathematical arguments into precise, machine-verifiable Lean 4 proofs for cutting-edge AI research. You'll be working at the frontier — tackling proofs that lie beyond the reach of current automated tools, and helping define what the next generation of AI-powered mathematics looks like.
This is a fully remote, flexible contract role built for mathematically mature problem-solvers who love precision, structure, and the challenge of making the implicit explicit.
- Organization: Alignerr
- Type: Hourly Contract
- Location: Remote
- Commitment: 10–40 hours/week
What You'll Do
- Translate informal mathematical proofs into clean, structured Lean 4 formalizations with an emphasis on clarity, correctness, and reproducibility
- Analyze proofs across domains — identifying gaps, hidden assumptions, and formalizable sub-structures
- Construct formalizations that test and extend the limits of existing proof assistants — especially where automation fails
- Investigate where automated provers break down and articulate the underlying reasons (complexity, missing lemmas, library gaps, etc.)
- Collaborate with AI researchers to design, refine, and evaluate formal verification strategies
- Provide expert guidance on proof decomposition, lemma selection, and structuring approaches
- Develop proof scripts that reveal deeper patterns or generalizations implicit in the original mathematics
- Compare machine-verifiable structures against classical textbook arguments to surface new insights
Who You Are
- Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field
- Strong foundation in rigorous proof writing across areas such as algebra, analysis, topology, logic, or discrete mathematics
- Hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable proof assistants — Lean strongly preferred
- Deeply enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics
- Able to translate dense, informal arguments into precise, structured formal proofs with minimal ambiguity
- Self-directed and comfortable working independently in an asynchronous, remote environment
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 where automated reasoning frequently fails or requires manual scaffolding
- Prior experience with data annotation, quality evaluation, or AI training pipelines
- Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies
Why Join Us
- Work directly with leading AI research labs on genuinely frontier problems in formal mathematics
- Fully remote and flexible — work on your own schedule, from anywhere in the world
- Freelance autonomy with meaningful, intellectually stimulating work
- Contribute to AI research that is actively shaping the future of mathematical reasoning and verification
- Potential for ongoing work and contract extension as new projects launch
Apply now
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