About The Role

What if your deep mathematical training could directly shape how AI understands and reasons about formal proof? We're looking for mathematicians with hands-on Lean experience to formalize advanced mathematical arguments for cutting-edge AI research — translating human reasoning into precise, machine-verifiable knowledge.

This is a fully remote, flexible contract role. If you find satisfaction in taking a dense, elegant proof and expressing it in a form a machine can verify, this role was built for you.

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

What You'll Do

- Translate informal mathematical proofs into Lean 4 with an emphasis on clarity, structure, and correctness
- Analyze generic and domain-specific proofs to identify gaps, hidden assumptions, and formalizable sub-structures
- Push the boundaries of existing proof assistants — working precisely where automated tools struggle or fail
- Collaborate with researchers to design, refine, and evaluate formal verification strategies
- Develop highly readable, reproducible proof scripts aligned with mathematical best practices and Lean idioms
- Advise on proof decomposition, lemma selection, and structuring techniques for formal models
- Formalize classical proofs and compare machine-verifiable structures against textbook arguments
- Investigate and articulate where and why automated provers break down — complexity, missing lemmas, library gaps
- Construct Lean proofs that reveal deeper patterns or generalizations implicit in the original mathematics

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 algebra, analysis, topology, logic, or discrete mathematics
- Hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or a comparable proof assistant — Lean strongly preferred
- Deep enthusiasm for formal verification, proof assistants, and the future of mechanized mathematics
- Able to translate informal mathematical arguments into clean, structured, machine-checkable formalizations
- A mathematically mature problem-solver who thrives at the frontier of what formal tools can express

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, data quality, or evaluation systems
- Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies

Why Join Us

- Work at the frontier of formal verification alongside world-leading AI research teams
- Fully remote and flexible — work when and where it suits you
- Freelance autonomy with the structure of meaningful, technically deep work
- Gain exposure to advanced LLMs and the processes behind how they are trained
- Contribute to research that is actively expanding what machines can understand and verify
- Potential for ongoing work and contract extension as recent projects launch

📌 Formal Verification Scientist (Lean 4 & Mathlib) (Canada)
🏢 Alignerr
📍 Canada