Lean 4 Proof Engineer - Mathematical Formalization What if your mathematical expertise could directly shape how AI understands and reasons about formal proof? We're looking for skilled mathematicians to translate rigorous human arguments into machine-verifiable Lean 4 formalizations — working at the very frontier of what proof assistants can express, capture, and automate.
This is a fully remote, flexible contract role built for mathematicians who care deeply about formal verification and want their work to matter at the cutting edge of AI research.
Organization: Alignerr
Type: Hourly Contract
Location: Remote
Commitment: 10-40 hours/week
What You'll Do Translate informal mathematical proofs into precise, machine-verifiable Lean 4 formalizations with an emphasis on clarity, structure, and correctness
Analyze generic and domain-specific proofs to identify gaps, hidden assumptions, and formalizable sub-structures
Construct formalizations that push the limits of existing proof assistants - especially where automation fails or falls short
Collaborate with researchers to design, refine, and evaluate strategies for improving formal verification pipelines
Develop readable, reproducible proof scripts aligned with mathematical best practices and Lean idioms
Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models
Investigate where automated provers break down and articulate precisely why - complexity, missing lemmas, library gaps, and beyond




Create Lean proofs that reveal 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 solid 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 proof systems - Lean strongly preferred
Deeply enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics
Able to take a dense, elegant human argument and express it in a form a machine can verify - cleanly and completely
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 significant manual scaffolding
Prior experience with data annotation, data quality, or evaluation systems
Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies
Why Join Us Work on genuinely frontier AI research alongside leading labs and research teams
Fully remote and flexible - work when and where it suits you
Freelance autonomy with the structure of intellectually stimulating, high-impact work
Contribute directly to expanding what formal verification can express and automate
Potential for ongoing work and contract extension as new projects launch

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