Formal Verification Scientist (Lean 4 & Mathlib)

About The Role

What if your deep mathematical training could directly shape how AI understands and reasons about formal proof? We're looking for Formal Verification Scientists to translate advanced human-written mathematics into precise, machine-verifiable Lean 4 formalizations — working at the cutting edge of what proof assistants can express, capture, and automate.

This is a fully remote, flexible contract role for mathematicians who are passionate about formal verification and want their expertise to matter at the frontier of AI research.

• 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 correctness, clarity, and mathematical elegance
• Analyze proofs across domains — identifying gaps, hidden assumptions, and formalizable sub-structures
• Construct formalizations that probe the limits of existing proof assistants, especially where automation breaks down
• Collaborate with AI researchers to design, refine, and evaluate strategies for improving formal verification pipelines
• 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 for formal models
• Investigate where and why automated provers fail — and articulate those boundaries with precision
• 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 mathematics
• Have hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable systems — Lean 4 strongly preferred
• Genuinely enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics
• Able to take dense, informal mathematical arguments and express them in a form a machine can verify
• Thrive working independently with precision and care
  
  

Nice to Have

• Experience with large-scale formalization projects such as Mathlib
• Familiarity with type theory, the Curry-Howard correspondence, and proof automation tools
• Exposure to theorem provers where automated reasoning frequently fails or requires manual scaffolding
• Prior experience with data annotation, data quality evaluation, or AI training workflows
• Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies
  
  

Why Join Us

• Work directly with leading AI research labs on projects at the frontier of formal mathematics and AI
• Fully remote and flexible — work on your own schedule from anywhere in the world
• Freelance autonomy with meaningful, intellectually stimulating work
• Contribute to research that is actively shaping how AI systems reason about mathematics
• Potential for contract extension as new projects launch