About the Role
What if your mathematical expertise could directly shape the future of AI reasoning? We're looking for Lean 4 Proof Engineers to translate advanced human-written mathematics into precise, machine-verifiable formalizations — working at the cutting edge of what proof assistants can express, capture, and automate.
This is a fully remote, flexible contract role built for mathematicians who love rigorous proof construction and want their work to matter beyond the page.
- 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 a focus on clarity, correctness, and structure
- Analyze domain-specific and general proofs to identify gaps, hidden assumptions, and formalizable sub-structures
- Construct formalizations that test the limits of existing proof assistants — especially where automated tools struggle or fail
- Collaborate with AI researchers to design, refine, and evaluate formal verification strategies
- Develop readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms
- Provide expert guidance on proof decomposition, lemma selection, and structuring techniques
- Investigate where automated provers break down and articulate the underlying reasons — complexity, missing lemmas, insufficient libraries, and beyond
- 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
- 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 dense informal arguments into clean, precisely structured formal proofs
- A mathematically mature problem-solver who finds satisfaction in expressing an elegant human argument 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 where automated reasoning frequently fails or requires manual scaffolding
- Prior experience with data annotation, evaluation systems, or data quality workflows
- Strong communication skills for explaining formalization decisions, edge cases, and proof strategies
Why Join Us
- Work at the frontier of AI research alongside world-leading research labs and teams
- Fully remote and flexible — structure your work around your life, not the other way around
- Freelance autonomy with intellectually meaningful, high-impact work
- Direct exposure to how cutting-edge large language models are trained and evaluated
- Contribute to work that is genuinely pushing the boundaries of what machines can understand and verify
- Potential for ongoing contract extension as new projects launch