Job Description & How to Apply Below
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 precise, machine-verifiable Lean proofs — working at the very edge of what proof assistants can express and automate.
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 precise, machine-verifiable Lean proofs — working at the very edge of what proof assistants can express and automate.
This is a fully remote, flexible contract role for mathematicians who live and breathe rigorous proof construction and are passionate about pushing the limits of formal verification.
Organization:
Alignerr
Type:
Hourly Contract
Location:
Remote
Commitment: 10–40 hours/week
What You'll Do
Translate informal mathematical proofs into Lean 4 with a strong emphasis on clarity, correctness, and structural elegance
Analyze generic and domain-specific proofs to identify gaps, hidden assumptions, and formalizable sub-structures
Construct formalizations that test the limits of existing proof assistants — especially where automation breaks down or fails
Collaborate with researchers to design and refine strategies for improving formal verification pipelines
Develop readable, reproducible proof scripts aligned with mathematical best practices and Lean idioms
Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models
Formalize classical proofs and compare machine-verifiable structures against textbook arguments
Investigate and articulate where automated provers fail — whether due to complexity, missing lemmas, or insufficient libraries
Create Lean proofs that surface deeper patterns or generalizations implicit in the original mathematics
Who You Are
Holder of a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field
Deeply fluent in rigorous proof writing across areas such as algebra, analysis, topology, logic, or discrete mathematics
Experienced with Lean (Lean 3 or Lean
4), Coq, Isabelle/HOL, Agda, or comparable systems — Lean is strongly preferred
Genuinely passionate about formal verification, proof assistants, and the future of mechanized mathematics
Able to translate informal, human-written arguments into clean, precise, structured formal proofs
A mathematically mature problem-solver who finds deep satisfaction in expressing elegant arguments in forms a machine can verify
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 requires manual scaffolding
Prior experience with data annotation, data quality, or evaluation systems
Strong communication skills for documenting formalization decisions, edge cases, and reasoning strategies
Why Join Us
Work on cutting-edge AI projects alongside the world's leading research labs
Fully remote and flexible — work when and where it suits you
Freelance autonomy with intellectually stimulating, high-impact work
Contribute directly to expanding the frontier of what formal verification can capture and automate
Potential for ongoing work and contract extension as new projects launch
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