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Formal Verification Scientist (Lean 4 & Mathlib)

Alignerr

AI & Data Training Contractor
Remote (Global) $170 – $200/hr May 25, 2026

Job description

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
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