Alignerr
Formal Verification Scientist (Lean 4 & Mathlib)
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Formal Verification Scientist (Lean 4 & Mathlib)
About the Role
What if your deep mathematical training could directly shape how AI reasons about proofs — and push the boundaries of what machines can verify? We're looking for Formal Verification Scientists to translate complex mathematical arguments into precise, machine-verifiable Lean 4 formalisations for cutting-edge AI research.
This is a fully remote, flexible contract role designed for mathematicians who love working at the intersection of rigorous proof and computer science. If you find satisfaction in taking a dense, elegant argument and expressing it in a form a machine can understand — this role was built for you.
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 formalisations with an emphasis on clarity, correctness, and reproducibility
- Analyze domain-specific proofs to identify gaps, hidden assumptions, and formalizable sub-structures
- Construct formalisations that test the limits of existing proof assistants — especially where tools struggle or fail
- Investigate where automated provers break down and articulate the underlying reasons (complexity, missing lemmas, insufficient libraries, etc.)
- Create Lean proofs that reveal deeper patterns or generalizations implicit in the original mathematics
- Collaborate with researchers to design, refine, and evaluate strategies for improving formal verification pipelines
- Provide guidance on proof decomposition, lemma selection, and structuring techniques for formal models
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Who You Are
Education & Background:
- Holds a Master’s degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field
Skills & Experience:
- Strong foundation in rigorous proof writing across areas such as algebra, analysis, topology, logic, or discrete mathematics
- Hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable systems — Lean strongly preferred
- Able to translate informal mathematical arguments into precise, well-structured formal proofs
- Genuinely enthusiastic about formal verification, proof assistants, and the future of mechanised mathematics
- Detail-oriented, methodical, and comfortable working independently in an async environment
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Nice to Have:
- Experience with large-scale formalisation 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, or evaluation systems
- Strong communication skills for explaining formalisation decisions, edge cases, and reasoning strategies
Why Join Us
- Work on cutting-edge AI research projects alongside leading AI labs
- Fully remote and flexible: work when and where it suits you
- Freelance autonomy with the structure of meaningful, intellectually stimulating work
- Contribute directly to mapping the frontier of what formal verification can express, capture, and automate
- Potential for ongoing work and contract extension as new projects launch
- Collaborate with a global team of researchers and mathematicians pushing the limits of AI and formal reasoning
“It took my CV and asked me questions relevant to understanding what kind of jobs to suggest for me. Suggestions were almost perfect. Jobs were exactly what I’ve been looking for.”
Jessica, London
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