About The Role
What if your mathematical expertise could directly shape how AI reasons, proves, and understands the world's most complex ideas? We're looking for Formal Verification Scientists to translate advanced mathematical arguments into precise, machine-verifiable proofs in Lean 4 — working at the very edge of what proof assistants can do.
This is a fully remote, flexible contract role built for mathematicians who are passionate about formal verification and want their work to matter. You'll collaborate with leading AI research teams, helping define the frontier of mechanized mathematics.
Organization: Alignerr
Type: Hourly Contract
Location: Remote
Commitment: 10–40 hours/week
What You'll Do
Translate informal mathematical proofs into clean, structured, machine-verifiable Lean 4 formalizations
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 automation fails
Collaborate with AI researchers to design and refine formal verification strategies and pipelines
Develop readable, reproducible proof scripts aligned with mathematical best practices and Mathlib idioms
Provide expert guidance on proof decomposition, lemma selection, and structuring techniques
Investigate where automated provers break down — and articulate exactly why
Create Lean proofs that surface deeper patterns and 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 algebra, analysis, topology, logic, or discrete mathematics
Hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable proof assistants — Lean 4 strongly preferred
Deep enthusiasm for formal verification and the future of mechanized mathematics
Able to translate dense, informal arguments into structured, precise formal proofs
Mathematically mature and comfortable working at the boundary of what tools can currently express
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 where automated reasoning frequently fails or requires manual scaffolding
Prior experience with data annotation, evaluation, or quality systems
Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies
Why Join Us
Work alongside world-leading AI research labs on genuinely frontier problems
Fully remote and flexible — work when and where it suits you
Freelance autonomy with meaningful, intellectually rich work
Direct exposure to how cutting-edge AI models are trained and evaluated
Contribute to work that expands what machines can understand and verify
Potential for ongoing work and contract extension as new projects launch