About The Role
What if your deep mathematical training 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 — working at the very edge of what proof assistants can express, capture, and automate.
This is a fully remote, flexible contract role for mathematicians who are passionate about formal verification and want their expertise to matter in cutting-edge AI research.
Organization: Alignerr
Type: Hourly Contract
Location: Remote
Commitment: 10–40 hours/week
What You'll Do
Translate informal mathematical proofs into precise, machine-verifiable formalizations in Lean 4
Analyze proofs across domains — identifying gaps, hidden assumptions, and formalizable sub-structures
Push the boundaries of existing proof assistants, especially where automated tools struggle or fail
Develop highly readable, reproducible proof scripts aligned with mathematical best practices and Lean idioms
Collaborate with researchers to design and refine formal verification strategies for AI training pipelines
Provide expert guidance on proof decomposition, lemma selection, and structuring techniques
Investigate where and why automated provers break down — articulating failure modes clearly and constructively
Create Lean proofs that surface deeper patterns or generalizations implicit in the original mathematics
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 formal proof system — Lean 4 strongly preferred
Genuinely enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics
Able to translate dense, informal arguments into clean, structured, and correct formal proofs
Comfortable working independently on complex, open-ended problems
Nice to Have
Familiarity with type theory, the Curry-Howard correspondence, and proof automation techniques
Experience contributing to or working within large-scale formalization projects such as Mathlib
Exposure to theorem provers in settings where automated reasoning frequently requires manual scaffolding
Prior experience with data annotation, evaluation systems, or AI training workflows
Strong communication skills for documenting formalization decisions, edge cases, and reasoning strategies
The Ideal Candidate
You're a mathematically mature problem-solver who finds genuine satisfaction in taking a dense, elegant human argument and expressing it in a form a machine can verify. You appreciate precision and structural beauty, and you're energized — not frustrated — by the gaps that automated tools cannot yet bridge. You want your mathematical expertise to contribute to something that matters.
Why Join Us
Work at the frontier of formal verification and AI research 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
Gain direct exposure to how advanced LLMs are trained and evaluated on mathematical reasoning
Contribute to a rapidly evolving field where your work has lasting impact
Potential for ongoing work and contract extension as new projects launch