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 human-written mathematics into precise, machine-verifiable Lean 4 formalizations — helping map the very frontier of what modern proof assistants can express, capture, and automate.
This is a fully remote, flexible contract role built for mathematicians who are passionate about formal verification and eager to push the limits 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 Lean 4 formalizations with a focus on clarity, correctness, and mathematical rigor
- Analyze proofs across domains — identifying hidden assumptions, gaps, and formalizable sub-structures
- Construct formalizations that test the limits of existing proof assistants, especially where automated tools struggle or fail
- Investigate where automated provers break down and articulate why — complexity, missing lemmas, library gaps, and beyond
- Develop highly readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms
- Collaborate with AI researchers to design, refine, and evaluate strategies for improving formal verification pipelines
- Formalize classical proofs and compare machine-verifiable structures against textbook arguments
- 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 proof assistant — Lean 4 strongly preferred
- Able to translate dense, informal arguments into precise, structured formal proofs
- Genuinely enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics
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, or AI evaluation workflows
- Strong communication skills for explaining formalization decisions, edge cases, and proof strategies
Why This Role
You're not just writing proofs — you're working at the intersection of mathematics and artificial intelligence, helping determine what formal reasoning can and cannot yet do. This is rare, meaningful work that only a small number of people in the world are positioned to do well.
Why Join Us
- Work on cutting-edge AI projects alongside leading research labs
- Fully remote and flexible — work when and where it suits you
- Freelance autonomy with the structure of meaningful, high-impact work
- Contribute directly to how AI systems learn to reason about mathematics
- Potential for ongoing work and contract extension as new projects launch