Formal Verification Scientist (Lean 4 & Mathlib)
About The Role What if your deep mathematical expertise could directly shape the future of AI reasoning? We're looking for Formal Verification Scientists to translate complex, human-written mathematical proofs into precise, machine-verifiable formalizations using Lean 4 — working at the absolute frontier of what proof assistants can express and automate. This is a fully remote, flexible contract role for mathematicians who are passionate about rigorous proof construction and the power of formal verification. 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 Lean 4 (and related proof systems) with a focus on clarity, structure, and correctness
- Analyze generic and domain-specific proofs, identifying gaps, hidden assumptions, and formalizable sub-structures
- Construct formalizations that test and extend the limits of existing proof assistants — especially where 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 expert 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, and beyond
- Create Lean proofs that reveal deeper patterns or generalizations implicit in the original mathematics
Who You Are
- Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field
- Strong foundation in rigorous proof writing and mathematical reasoning 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 a comparable formal proof system — Lean 4 strongly preferred
- Able to translate informal mathematical arguments into clean, structured, machine-verifiable formal proofs
- Deep enthusiasm for formal verification, proof assistants, and the future of mechanized mathematics
- Mathematically mature and comfortable working independently at the edge of current knowledge
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
- Prior experience with data annotation, data quality evaluation, or AI training workflows
- Strong communication skills for explaining formalization decisions, edge cases, and proof strategies to cross-functional 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, intellectually rigorous work
- Contribute directly to expanding what AI can understand, verify, and reason about mathematically
- Potential for ongoing work and contract extension as new projects launch
Apply tot his job Apply To this Job