Lean 4 Proof Engineer — Mathematical Formalization

About The Role

What if your deep mathematical training could directly shape how the world's most advanced AI systems reason about formal logic and proof? We're looking for Lean 4 Proof Engineers to translate complex, human-written mathematical arguments into accurate, machine-verifiable formalizations — pushing the boundary of what modern proof assistants can express and automate.

This is a fully remote, flexible contract role built for mathematicians who live at the intersection of rigorous proof construction and formal verification.

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

What You'll Do

- Translate informal mathematical proofs into Lean 4 (and related systems) with an emphasis on clarity, structure, and correctness
- Analyze domain-specific proofs, identifying gaps, hidden assumptions, and formalizable sub-structures
- Construct formalizations that stress-test the limits of existing proof assistants — especially where automation breaks down
- Collaborate with AI researchers to design, refine, and evaluate formal verification strategies
- Develop readable, reproducible proof scripts aligned with best mathematical practices and proof assistant idioms
- Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models
- Investigate where automated provers fail and articulate why — complexity, missing lemmas, insufficient libraries, and more
- 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
- Are deeply enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics
- Can translate dense informal arguments into clean, well-structured formal proofs with precision

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 extensive manual scaffolding
- Prior experience with data annotation, evaluation systems, or AI training workflows
- Strong communication skills for explaining formalization decisions, edge cases, and proof strategies to collaborators

The Ideal Candidate You're a mathematically mature problem-solver who finds genuine satisfaction in taking a dense, elegant argument and expressing it in a form a machine can verify. You appreciate structural beauty and precision — and you're energized by the challenge of resolving gaps that automated tools can't yet bridge. You're comfortable working independently, asynchronously, and at the frontier of what formal verification can do.

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 meaningful, intellectually demanding work
- Gain rare exposure to how advanced AI systems are trained to reason formally
- Contribute to work that is actively mapping the frontier of mechanized mathematics
- Potential for ongoing work and contract extension as new projects launch

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