Alignerr
Mathematical Formalization Specialist
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Mathematical Formalization Specialist (Lean / Formal Proof Systems)
About The Role
What if your deep mathematical training could directly shape the future of AI reasoning? We're looking for mathematicians with hands-on experience in formal proof systems to help push the boundaries of what machines can verify, understand, and reason about.
This is a fully remote, flexible contract role working at the intersection of advanced mathematics and cutting-edge AI research. If you find satisfaction in translating elegant human arguments into precise, machine-verifiable structures — and you thrive at the frontier where automated tools still fail — this role was built for you.
Organization: Alignerr
Type: Hourly Contract
Location: Remote
Commitment: Flexible
What You'll Do
- Translate informal mathematical proofs into Lean (and related proof systems) with an emphasis on clarity, structure, and correctness
- Analyze proofs across domains — identifying gaps, hidden assumptions, and formalizable sub-structures
- Construct formalizations that stress-test the limits of existing proof assistants, especially where tools struggle or fail
- Collaborate with 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 guidance on proof decomposition, lemma selection, and structuring techniques for formal models
- Formalize classical proofs and investigate where automated provers break down — and articulate precisely why
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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
- 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 formal systems — with Lean strongly preferred
- Genuinely passionate about formal verification, proof assistants, and the future of mechanized mathematics
- Able to translate dense informal arguments into clean, structured, machine-verifiable proofs
- Self-directed and comfortable working independently on complex, open-ended tasks
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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 manual scaffolding
- Strong communication skills for articulating formalization decisions, edge cases, and proof strategies
Why Join Us
- Work on genuinely frontier problems in AI and formal mathematics alongside leading research labs
- Fully remote and asynchronous — work when and where it suits you
- Freelance autonomy with the structure of meaningful, expert-level work
- Contribute directly to advancing AI reliability, mathematical reasoning, and high-integrity dataset creation
- Potential for ongoing work and contract extension as new projects launch
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