What We're Researching We're hiring advanced STEM experts to help improve the scientific reasoning capabilities of sophisticated AI models. This ongoing project focuses on generating high-quality training data that requires deep academic expertise to construct and verify.
Formal Verification Scientist (Lean 4 & Mathlib)
Remote (Global)
$10 – $40/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
Compensation by region
Pay varies by where you're based. Each region below is open to applicants in that country only.
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Available in 10 regions: pick your country on click.
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