Lean Proof Architect: Remote Formalization Specialist

Alignerr; United States; On-site; USD 83,000 - 165,000; Full time

Benefits offered by this job

Fully remote

Freelance autonomy

Flexible, task-based

Job summary

Alignerr is seeking mathematicians with hands-on experience in formal proof systems to tackle problems beyond automated tools. This fully remote, hourly contract role focuses on translating rigorous human arguments into machine-verifiable Lean formalizations that advance AI reasoning.

You'll work across math and CS domains, translating dense proofs, testing proof assistants, and collaborating with AI researchers to improve verification pipelines.

Qualifications

• Master's degree or higher in Mathematics or related field.
• Strong foundation in rigorous proof writing across algebra, analysis, topology, logic, or discrete math.
• Hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, or comparable proof systems.

Responsibilities

• Translate informal proofs into Lean formalizations with clarity and correctness.
• Analyze proofs across domains to identify gaps and formalizable structures.
• Construct formalizations that test the limits of existing proof assistants, especially where automated tools struggle or fail.
• Collaborate with AI researchers to design, refine, and evaluate strategies for improving formal verification pipelines.
• Develop clean, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms.
• Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models.

Skills

Rigorous proof writing

Formal verification enthusiasm

Excellent communication

Education

Master's degree or higher in Mathematics/Logic/CS

Tools

Lean

Coq

Isabelle/HOL

Agda

Job description

Alignerr is seeking mathematicians with hands-on experience in formal proof systems to tackle problems beyond automated tools. This fully remote, hourly contract role focuses on translating rigorous human arguments into machine-verifiable Lean formalizations that advance AI reasoning.

You'll work across math and CS domains, translating dense proofs, testing proof assistants, and collaborating with AI researchers to improve verification pipelines.