Alignerr
Formal Verification Scientist (Lean 4 & Mathlib)
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Formal Verification Scientist (Lean 4 & Mathlib)
About The Role
What if your deepest mathematical expertise could directly shape how AI understands and reasons about formal proof? We're looking for Formal Verification Scientists to translate advanced mathematical arguments into machine-verifiable Lean 4 proofs — pushing the boundary of what automated reasoning can express, capture, and achieve.
This is a fully remote, flexible contract role designed for mathematicians who thrive at the intersection of rigorous proof construction and cutting-edge AI research. If you find satisfaction in taking a dense, elegant human argument and expressing it in a form a machine can verify, 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 precise, machine-verifiable Lean 4 formalizations with an emphasis on clarity, structure, and correctness
- Analyze domain-specific proofs to identify gaps, hidden assumptions, and formalizable sub-structures
- Construct formalizations that test the limits of existing proof assistants — especially where automated tools struggle or fail
- Collaborate with AI researchers to design, refine, and evaluate strategies for improving formal verification pipelines
- Develop highly readable, reproducible proof scripts aligned with mathematical best practices and Lean idioms
- Provide guidance on proof decomposition, lemma selection, and structuring techniques for formal models
- Investigate where automated provers break down and articulate why — complexity, missing lemmas, insufficient libraries, or otherwise
- Create Lean proofs that reveal deeper patterns or generalizations implicit in the original mathematics
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Who You Are
- Hold a Master’s degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field
- Possess 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), with Lean 4 strongly preferred — experience with Coq, Isabelle/HOL, or Agda is also valued
- Genuinely passionate about formal verification, proof assistants, and the future of mechanized mathematics
- Able to translate informal mathematical arguments into clean, structured formal proofs independently
- Comfortable working at the frontier of what proof assistants can currently express and automate
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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 significant manual scaffolding
- Prior experience with data annotation, data quality, or AI evaluation workflows
- Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies to collaborators
Why Join Us
- Work on cutting-edge AI projects alongside world-leading research labs
- Fully remote and flexible — work when and where it suits you
- Freelance autonomy with the structure of meaningful, technically demanding work
- Contribute directly to expanding the frontier of formal verification and AI reasoning
- Gain deep exposure to how advanced AI models are trained and evaluated
- Potential for ongoing work and contract extension as new projects launch
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