About the Role
What if your deep mathematical training could directly shape how the world's most advanced AI systems reason, prove, and think? We're looking for Lean 4 Proof Engineers to translate rigorous mathematical arguments into machine-verifiable formalizations — working at the very frontier of what proof assistants can express and automate.
This is a fully remote, flexible contract role built for mathematicians who find beauty in precision and satisfaction in resolving the gaps that automated tools cannot yet bridge.
- Organization: Alignerr
- Type: Hourly Contract
- Location: Remote
- Commitment: 10–40 hours/week
What You'll Do
- Translate informal mathematical proofs into clean, structured Lean 4 formalizations with an emphasis on clarity, correctness, and reproducibility
- Analyze domain-specific and general proofs to identify hidden assumptions, gaps, and formalizable sub-structures
- Construct formalizations that test the limits of existing proof assistants — especially where automated tools struggle or fail entirely
- Collaborate with AI researchers to design, refine, and evaluate strategies for advancing formal verification pipelines
- Investigate breakdown points in automated provers and articulate why they occur — missing lemmas, complexity barriers, insufficient libraries
- Develop highly readable proof scripts aligned with mathematical best practices and proof assistant idioms
- Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models
- Formalize classical proofs and compare machine-verifiable structures against their textbook counterparts
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 mathematics
- Possess hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable proof systems — Lean 4 strongly preferred
- Are deeply enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics
- Can take a dense, informal argument and express it precisely 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 extensive manual scaffolding
- Prior experience with data annotation, evaluation systems, or AI training workflows
- Strong communication skills for articulating formalization decisions, edge cases, and reasoning strategies to non-specialist collaborators
Why Join Us
- Work on genuinely frontier problems alongside world-leading AI research teams and labs
- Fully remote and flexible — structure your work around your life, not the other way around
- Freelance autonomy with the substance of meaningful, intellectually demanding work
- Gain direct exposure to how cutting-edge large language models are trained and evaluated
- Contribute to mapping the boundary of what formal verification can express and automate
- Potential for ongoing work and contract extension as new projects launch