Lean 4 Proof Engineer — Mathematical Formalization (AI Training) About The Role What if your deep mathematical expertise could directly shape how AI reasons, proves, and understands the foundations of mathematics? We're looking for Lean 4 Proof Engineers to translate rigorous human-written arguments into machine-verifiable formalizations — working at the very frontier of what proof assistants can express and automate. This is a fully remote, adaptable contract role for mathematicians who love precision, structural elegance, and the challenge of making formal verification go further than it's ever gone before.

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 proof systems) with an emphasis on clarity, structure, and correctness

Analyze both generic and domain-specific proofs — identifying gaps, hidden assumptions, and formalizable sub-structures

Push the limits of existing proof assistants by constructing formalizations where tools struggle or fail

Collaborate with AI researchers to design, refine, and evaluate formal verification strategies

Develop highly readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms

Provide expert guidance on proof decomposition, lemma selection, and structuring techniques

Formalize classical proofs and compare machine-verifiable structures against textbook arguments

Articulate and document where and why automated provers break down — complexity, missing lemmas, insufficient libraries, and more





Surface deeper patterns or generalizations implicit in the original mathematics through your Lean formalizations Who You Are Hold a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field

Possess 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 systems — Lean strongly preferred

Deeply enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics

Able to translate informal arguments into clean, well-structured formal proofs A mathematically mature problem-solver who finds satisfaction in taking a dense, elegant argument and expressing it in a form a machine can verify Nice to Have Familiarity with type theory, the Curry-Howard correspondence, and proof automation tools

Experience with 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, data quality, or AI evaluation systems

Strong written communication skills for documenting formalization decisions, edge cases, and reasoning strategies Why Join Us Work on frontier AI projects alongside leading research labs and teams

Fully remote and flexible — structure your work around your schedule

Freelance autonomy with intellectually stimulating, high-impact work

Gain rare exposure to how advanced AI models are trained on formal mathematical reasoning

Contribute to expanding the boundary of what machines can formally understand and verify

Potential for ongoing work and contract extension as new projects launch

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