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 current projects launch

Global collaboration with researchers pushing the boundaries of AI and mathematics

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