Overview
About The Role What if your deep mathematical training could directly shape how AI understands and reasons about formal proof? We are looking for mathematicians and formal verification specialists to translate advanced mathematical arguments into machine-verifiable Lean 4 proofs — working at the very edge of what modern proof assistants can express and automate. This is a fully remote, flexible contract role built for people who find genuine satisfaction in the precision and structural elegance of formal mathematics. No AI background needed — just mastery of rigorous proof and hands-on experience with proof assistants.
Organization: Alignerr
* Organization: Alignerr
* Type: Hourly Contract
* Location: Remote
* Commitment: 10–40 hours/week
What You69ll Do
* Translate informal mathematical proofs into clean, structured Lean 4 formalizations with an emphasis on correctness and clarity
* Analyze proofs across domains — identifying gaps, hidden assumptions, and formalizable sub-structures
* Construct formalizations that test and push the boundaries of existing proof assistants, especially where automation fails
* Collaborate with AI researchers to design, evaluate, and refine formal verification strategies
* Develop readable, reproducible proof scripts aligned with mathematical best practices and Lean/Mathlib idioms
* Provide guidance on proof decomposition, lemma selection, and structuring techniques
* Investigate where automated provers break down and clearly articulate the underlying reasons
* Formalize classical results and uncover 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 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 4 strongly preferred
* Deep enthusiasm for formal verification, proof assistants, and mechanized mathematics
* Able to translate dense, informal mathematical arguments into precise, machine-checkable formalizations
* Self-motivated and comfortable working independently in an asynchronous environment
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 in settings where automated reasoning frequently fails or requires manual scaffolding
* Prior experience with data annotation, data quality, or evaluation workflows
* Strong communication skills for articulating formalization decisions, edge cases, and proof strategies
Why Join Us
* Work alongside world-leading AI research teams on genuinely frontier problems
* Fully remote and flexible — work on your own schedule, from anywhere
* Freelance autonomy with the depth and structure of meaningful, intellectually demanding work
* Gain direct exposure to how advanced LLMs are trained and evaluated on formal reasoning tasks
* Contribute to a field where your expertise is rare, valued, and has lasting impact
* Potential for ongoing work and contract extension as new projects launch
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