About The Role
What if your deepest mathematical knowledge could directly shape how AI reasons about truth, proof, and logic? We're looking for Formal Verification Scientists to translate advanced human‑written mathematics into machine‑verifiable Lean proofs — helping map the frontier of what AI can understand, verify, and automate.
This is a fully remote, flexible contract role for mathematicians who live and breathe rigorous proof and want to work at the cutting edge of formal verification and AI research.
* 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 formalizations with an emphasis on clarity, correctness, and mathematical elegance
* Analyze proofs across domains — algebra, analysis, topology, logic, and beyond — identifying gaps, hidden assumptions, and formalizable sub‑structures
* Push the boundaries of existing proof assistants by constructing formalizations where automated tools struggle or fail
* Investigate where automated provers break down and articulate precisely why — missing lemmas, library gaps, complexity barriers
* Develop highly readable, reproducible proof scripts aligned with Mathlib conventions and best practices
* Collaborate with AI researchers to design and refine formal verification pipelines
* Create Lean proofs that surface deeper patterns or generalizations implicit in the original mathematics
* Provide expert guidance on proof decomposition, lemma selection, and structuring strategies for formal models
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), Coq, Isabelle/HOL, Agda, or a comparable proof assistant — Lean 4 strongly preferred
* Genuinely excited by formal verification, proof assistants, and the future of mechanized mathematics
* Able to bridge the gap between informal mathematical intuition and precise formal structure
* Thrive working independently on deep, intellectually demanding problems
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 requires manual scaffolding
* Prior experience with data annotation, evaluation systems, or proof quality assessment
* Strong communication skills for articulating formalization decisions, edge cases, and reasoning strategies
Why This Role
This isn't routine annotation work. You'll be operating at the true frontier — taking dense, elegant mathematical arguments and expressing them in forms a machine can verify. Every proof you formalize contributes directly to how the next generation of AI systems understands and reasons about mathematics.
* Work on research‑grade problems that matter at the intersection of mathematics and AI
* Fully remote and flexible — structure your own schedule around deep work
* Freelance autonomy with the intellectual depth of a research environment
* Collaborate with world‑class AI research teams and labs
* Potential for ongoing work and contract extension as projects evolve
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